JP6010399B2 - Contactless power supply system - Google Patents

Description

  The present invention relates to a non-contact power feeding system.

  For wireless power feeding, a non-contact power feeding system using magnetic field resonance is known. Patent Document 1 describes a one-to-one power feeding method between a transmission-side device (master device) and a reception-side device (slave device). Patent Document 1 describes that the slave unit transmits magnetic field, power information, and position information to the master unit side by communication means.

US Patent Application Publication No. 2011/0018361 JP 2012-75304 A Special table 2011-517265 gazette

By the way, a plurality of wireless home appliances (child devices) may be used in a room such as a house provided with a plurality of parent devices. In this case, power transmission efficiency from the parent device to the child device may be reduced due to interference between a plurality of parent devices or between the parent device and the child device.
Moreover, in patent document 2, an electric power is transmitted to a subunit | mobile_unit by laying a coil resonant element on a floor and providing the electric power transmission path | route of this coil resonant element to the position of a subunit | mobile_unit.
However, in Patent Document 2, since a current flows through the coil resonance element on the power transmission path, the ohmic loss is large, and thus high-efficiency energy cannot be transmitted.
Further, in Patent Document 3, a current is passed from a plurality of master units to the main coil, and a reverse current is supplied to at least one of the other coils to reduce the stray magnetic field, thereby coupling the master unit and the slave unit. It is disclosed to strengthen.
However, in Patent Document 3, when the coil of the slave unit comes to the center of the lattice of the base unit (master coil group) in which four coils are arranged in a square lattice, currents in the same direction flow through the four coils. However, if the current is passed in the opposite direction, the efficiency is lowered. Further, since the distance between the coil of the slave unit and the coil of the master unit needs to be ¼ or less of the diameter of the coil of the master unit, energy transmission over a long distance is not possible. Moreover, in patent document 3, since the universal algorithm which determines the electric current sent through a coil is not disclosed, the electric current sent through a coil cannot be determined efficiently. Further, in Patent Document 3, since the 1-bit on state and off state are controlled, there is a limit to the improvement in efficiency.

  The present invention has been made in view of the above points, and provides a non-contact power feeding system capable of improving power transmission efficiency.

All items that are mathematically equivalent to the following items are within the scope.
(1) The present invention has been made in order to solve the above-described problem. At least one parent device power transmission unit that supplies power without contact, and power supply without contact from the at least one parent device power transmission unit. A contactless power feeding system including at least one slave unit power receiving unit that receives at least one compensation circuit including a transformer or a capacitor, and can be selected from among the plurality of master unit power transmission units In at least one of the sets of the parent device power transmission units, the parent device power transmission unit constituting the group is connected via the compensation circuit, or a plurality of the child device power receptions in at least one or more sets of the set consisting of two handset power receiving unit may be selected from among the parts, and handset power receiving portion constituting the said set are connected via said compensation circuit The compensation circuit connecting between the slave unit power receiving units or between the master unit power transmitting units is a mutual impedance or mutual relationship between terminals of the slave unit power receiving unit when there is no master unit power transmitting unit. The contactless power feeding system is characterized in that the mutual impedance or mutual admittance between terminals of the master unit power transmission unit when there is no admittance or slave unit power reception unit is substantially zero .

(3) Further, according to one aspect of the present invention, in the contactless power feeding system described above, the compensation circuit that connects between the slave unit power reception units or between the master unit power transmission units is a master unit power transmission. The self-impedance or self-admittance between the terminals when there is no unit and the slave unit power receiving unit is substantially zero.

(4) Further, according to one aspect of the present invention, in the contactless power supply system described above, in the case of the contactless power supply system including the plurality of master unit power transmission units, each of the master unit power transmission units transmits power. A power transmission element, and a distribution determination unit that determines an electric signal to be supplied to the plurality of parent device power transmission units is used when determining the electric signal, when the child device power reception unit is not present, A group consisting of two parent device power transmission units among the plurality of parent device power transmission units so that the absolute value of the mutual impedance or mutual admittance between the parent device power transmission unit terminals falls within a predetermined range. The at least one set includes a compensation circuit including a transformer or a capacitor between the power transmission elements that transmit power and that each parent device power transmission unit includes. To.

(5) Further, according to one aspect of the present invention, in the contactless power feeding system described above, the absolute value of the mutual impedance or the mutual admittance between the parent device power transmission units is within a predetermined range. This is to satisfy the condition that the mutual impedance or mutual admittance value between the parent power transmission units is substantially zero. Substantially 0 is sufficiently smaller than the mutual impedance or mutual admittance between the parent power transmission units when no compensation circuit is inserted, and further, the mutual impedance between the parent power transmission unit and the child power reception unit or It is sufficiently smaller than mutual admittance.

(6) According to another aspect of the present invention, in the contactless power feeding system described above, a transformer or a capacitor is provided between the power transmission elements in which a distance between the power transmission elements is in a predetermined range. The compensation circuit is provided.

(7) According to another aspect of the present invention, in the above-described contactless power supply system, the power transmission element is a coil and a pair of coils having a positive mutual inductance, and the coil sets are arranged between the coils. A compensation circuit composed of a transformer or a capacitor is provided between the coils of a set of coils having a predetermined distance within a predetermined range.

(8) Further, according to one aspect of the present invention, in the contactless power feeding system described above, the plurality of coils are arranged in a solid square shape, and the coils are viewed from the axial direction of the winding of the coils. A coil has a positive mutual inductance between coils adjacent vertically or horizontally in a plan view, and includes a compensation circuit including a transformer or a capacitor between adjacent coils vertically or horizontally in the plan view. Features.

前記子機電力受信部が機能するときの前記電気信号の２次形式行列がエネルギーの散逸を表しその係数を成分とするＮ行×Ｎ列のエルミートである行列Ｂであり、式（２）のスカラーがエネルギー消費を表し、

行列Ａが式（３）のように表されるとき、

式（４）で表される行列Ｄ

の非０の固有値に対する固有ベクトルＹの線形結合に左から前記行列Ｃの逆行列である行列Ｃ^−１を乗じたベクトルＣ^−１Ｙの成分に比例するように前記電気信号を決定することを特徴とする。 (9) Further, according to one aspect of the present invention, in the contactless power feeding system described above, the number of parent power transmission units is N (N is an integer of 2 or more), and the N parent devices A non-contact power feeding system further comprising a distribution determining unit that determines an electric signal to be supplied to a power transmission unit, wherein the electric signal has a component of current or voltage or a linear combination thereof, and the distribution determining unit includes: When the matrix A is a regular Hermitian matrix of N rows × N columns, and an equation (1) (˜ is a transposed matrix) And * is a complex conjugate) and the scalar is non-negative,

The secondary form matrix of the electrical signal when the slave unit power reception unit functions is a matrix B that is an N-row × N-column Hermitian that represents energy dissipation and has a coefficient as a component. Scalar represents energy consumption,

When matrix A is expressed as equation (3),

Matrix D expressed by Equation (4)

The electric signal is determined so as to be proportional to a component of a vector C ⁻¹ Y obtained by multiplying a linear combination of eigenvectors Y with respect to non-zero eigenvalues by a matrix C ⁻¹ which is an inverse matrix of the matrix C from the left. And

(10) Further, according to one aspect of the present invention, in the above-described contactless power supply system, the matrix B is an impedance matrix related to each terminal of the parent device power transmission unit when the child device power reception unit functions. Or the real part matrix of the admittance matrix, the distribution determining unit is configured to calculate the N number of blocks based on a reference matrix that is a positive Hermitian matrix representing a quadratic form of the electrical signal and the matrix B. An electrical signal to be supplied to the parent power transmission unit is determined.

(11) Further, according to one aspect of the present invention, in the above-described contactless power supply system, the distribution determination unit is proportional to a component of the vector C ⁻¹ Y calculated based on the eigenvector Y with respect to the maximum eigenvalue of the matrix D. Or an electric signal to be supplied to the N parent power transmission units is determined so as to be proportional to the component of the vector C ⁻¹ Y calculated based on the eigenvector Y with respect to the minimum eigenvalue of the matrix D. It is characterized by that.

(12) One embodiment of the present invention is characterized in that the matrix A is a unit matrix in the contactless power feeding system.

(13) Further, according to one aspect of the present invention, in the above-described contactless power feeding system, the matrix A is a real part of an impedance matrix or a real part of an admittance matrix when the slave unit power receiving unit is not present. It is characterized by.

(14) Further, according to one aspect of the present invention, in the contactless power feeding system, the matrix A includes an imaginary part of an impedance matrix, a real part of a capacitance matrix, and a real part of an inductance matrix of each of the parent power transmission units. It is one of the parts.

(15) Further, according to one aspect of the present invention, in the above-described contactless power supply system, the scalar of Formula (1) of the quadratic form is a sum of energy of a field stored in a space of a specific region. And

(16) In addition, according to one aspect of the present invention, in the wireless power supply system described above, the distribution determination unit is configured such that a current corresponding to a component having a maximum absolute value among components of the eigenvector has a current rating. Or the electric signal supplied to the N parent power transmission units is determined so that a voltage corresponding to a component having the maximum absolute value among components of the eigenvector has a voltage rating. .

(17) Further, according to one aspect of the present invention, in the wireless power supply system described above, the reference matrix is a real part of an impedance matrix or a real part of an admittance matrix when the slave unit power reception unit is not present, Alternatively, the real part of the inductance matrix between the N parent power transmission units, or the imaginary part of the impedance matrix between the parent power transmission units or the imaginary part of the admittance matrix between the parent power transmission units is a space. It is a Hermitian coefficient matrix when the energy induced in a specific region is expressed in a quadratic form of the electric signal.

(18) Further, according to one aspect of the present invention, in the wireless power supply system described above, the N parent device power transmission units may be configured such that the distribution determination unit converges the vector Y to an eigenvector of the matrix D. An electrical signal to be supplied to is determined.

(19) Further, according to one aspect of the present invention, in the above-described contactless power supply system, the slave unit power reception unit has a power reception rejection mode that limits power supply from the N master unit power transmission units. Features.

(20) In addition, according to an aspect of the present invention, the wireless power supply system includes a control unit that limits the supplied electric signal and outputs the electric signal to the parent device power transmission unit.

(21) Further, according to one aspect of the present invention, in the above-described contactless power supply system, the control unit limits the electric signal by an element whose energy dissipation is negligible compared to the energy of the electric signal. And

(22) Further, according to one aspect of the present invention, in the contactless power supply system described above, the parent device power transmission unit includes an inductor and a capacitor as the power transmission element that transmits power, and the child device power reception The unit includes an inductor and a capacitor as a power receiving element that receives power, and magnetic coupling by resonance of a circuit including the inductor and capacitor of the parent device power transmission unit, the inductor of the child device power reception unit, and the capacitor Thus, power is supplied from the inductor of the transmitting unit to the inductor of the receiving unit.

(23) Further, according to one aspect of the present invention, in the contactless power supply system described above, the parent device power transmission unit includes a capacitor and an inductor as the power transmission element that transmits power, and the slave device power reception The unit includes a capacitor and an inductor as a power receiving element that receives power, and electrostatic resonance due to resonance of a circuit including the inductor and capacitor of the parent device power transmission unit, the inductor of the child device power reception unit, and the capacitor. Power is supplied from the capacitor of the transmitter to the capacitor of the receiver by coupling.

(24) Further, according to one aspect of the present invention, in the above-described contactless power supply system, the control unit includes a plurality of capacitors and a plurality of switching units. Each of the ends is connected to the input end of each switching unit, the output ends of the plurality of switching units are connected to each other, the connected point is connected to the coil, and the distribution determining unit sequentially switches the switching units The distribution of electric signals to be supplied to the N parent power transmission units is determined based on information indicating a voltage applied to the coil when switched and information indicating a current flowing in the capacitor. .

(25) Further, according to one aspect of the present invention, in the above-described contactless power supply system, the control unit includes a plurality of capacitors and first to third ports. A plurality of switching units having a port selector switch for switching the connection between the first or second port and the third port, and the plurality of switching units are connected to each other by the first port. The connected first connection point is connected to the power supply unit, the second ports are connected to each other, the second ports are grounded, and the third port is the one of the plurality of capacitors. One end of the capacitor, the other ends of the plurality of capacitors are connected to each other, the connected second connection point is connected to the coil, and the switching unit sequentially switches the switching unit. At the second connection point Based current information indicating information and voltage applied to the coil indicating the that, and determines the distribution of electrical signals to be supplied to the N base unit power transmission unit.

(26) Further, according to one aspect of the present invention, in the above-described contactless power supply system, the electrical signal is supplied from a smaller number of power sources than the number of the parent device power transmission units.

(27) Further, according to one aspect of the present invention, in the above-described contactless power supply system, one aspect of the present invention further includes a distribution determination unit that determines an electric signal to be supplied to the plurality of parent device power transmission units. In the contactless power supply system, the electrical signal has a current or voltage or a linear combination thereof as a component, and the distribution determination unit is a real part of an impedance matrix when the slave unit power reception unit exists or In the non-contact power feeding system, the electric signal to be supplied to the plurality of base unit power transmission units is determined so as to be proportional to a component of an eigenvalue vector with respect to a non-zero eigenvalue of a real part matrix of an admittance matrix. .

  According to the present invention, power transmission efficiency can be improved.

1 is a schematic diagram showing a wireless power feeding system 101. FIG. 1 is a schematic block diagram illustrating configurations of a parent device and a child device in a wireless power feeding system 101. FIG. 2 is a schematic block diagram illustrating a configuration of a parent power transmission control unit 1 in a wireless power feeding system 101. FIG. It is a schematic block diagram which shows the structure of the electric current distribution determination part 13 in the wireless electric power feeding system 101, and is a figure explaining the equivalent circuit when a coil has a stray capacitance. 5 is a flowchart illustrating an example of an operation of a current distribution determination unit 13 in the wireless power feeding system 101. It is a figure which shows the result of the simulation about the wireless electric power feeding system. It is a schematic block diagram which shows the structure of the electric current distribution determination part 13a in the wireless electric power feeding system 101m1 which is a modification of the wireless electric power feeding system 101. FIG. It is a flowchart which shows another example of operation | movement of the electric current distribution determination part 13a in the wireless electric power feeding system 101m1. It is a schematic block diagram which shows the structure of the main | base station in the wireless power feeding system 101m2 which is a modification of the wireless power feeding system 101, and a subunit | mobile_unit. 3 is a schematic block diagram illustrating an example of a configuration of a current distribution determination unit 13b in the wireless power feeding system 102. FIG. 6 is a flowchart illustrating an example of an operation of a current distribution determination unit 13b in the wireless power feeding system 102. FIG. 6 is a diagram illustrating a result of simulation for a wireless power feeding system 102. 2 is a schematic block diagram illustrating configurations of a parent device and a child device in a wireless power feeding system 103. FIG. 3 is a schematic circuit diagram showing a configuration of a current direction switching unit 27-n in the wireless power feeding system 103, and a schematic block diagram showing a configuration of a current control unit 26b-n. FIG. It is a schematic block diagram which shows the structure of the main | base station power transmission control part 1b in the wireless electric power feeding system 103. FIG. 6 is a schematic diagram illustrating an example of a selection table stored in a selection table storage unit 18b in the wireless power feeding system 103. FIG. It is a graph which shows the relationship between the number of the capacitor | condensers of current control part 26b-n, and the transmission efficiency of the energy from a main | base station to a subunit | mobile_unit. It is the schematic of the wireless electric power feeding system 101a which is a modification of the wireless electric power feeding system. It is the schematic of wireless power feeding system 101m2a which is a modification of wireless power feeding system 101m2. It is the schematic of the wireless power feeding system 103a which is a modification of the wireless power feeding system 103. 2 is a schematic block diagram illustrating configurations of a parent device and a child device in a wireless power feeding system 104. FIG. 3 is a block diagram illustrating a configuration of a current control unit 26c-n in the wireless power feeding system 104. FIG. 3 is an equivalent circuit diagram of a parent device 2c-n in a wireless power feeding system 104. FIG. 3 is a schematic block diagram illustrating configurations of a parent device 2d-n and a child device 3-m in a wireless power feeding system 105. FIG. It is a figure explaining the relationship between eigenvalue (lambda) of Re (Y) and | 1- (beta) (lambda) _n |. It is a figure for demonstrating the structure of the compensation transformer part 29T in the wireless electric power feeding system 106. FIG. It is a figure for demonstrating the structure of the compensation capacitor | condenser part 29C in the wireless electric power feeding system 107. FIG. FIG. 6 is a layout diagram of a base coil when a compensation capacitor is used. It is a figure which shows capacitance value C _i of compensation capacitor Cc _{ij and} capacitor Cd _i . 2 is a schematic block diagram illustrating configurations of a parent device and a child device in a wireless power feeding system. FIG. FIG. 3 is a layout diagram of a parent machine coil of a wireless power feeding system. It is a figure shown about transmission efficiency at the time of a child machine coil moving along straight line LC on a main machine coil. It is a figure shown about transmission efficiency at the time of a child machine coil moving along straight line LP on a main machine coil.

  Hereinafter, embodiments of the present invention will be described in detail with reference to the drawings. The present invention is characterized in that a wireless power feeding system includes a compensation circuit for improving transmission efficiency when power is transmitted to a child device located far from the parent device. Therefore, a wireless power feeding system (101, 101m1, 101m2, 102, 103, 101a, 101m2a, 103a, 104, 105) as a premise will be described first, and then a wireless power feeding system (wireless power feeding) equipped with a compensation circuit will be described below. The systems 106, 107, and 108) will be described.

(Wireless power supply system 101)
FIG. 1 is a schematic diagram showing a wireless power supply system 101. In this figure, the wireless power feeding system includes a parent power transmission control unit 1, N parent devices 2-1 to 2-N (each also referred to as a parent device 2-n), and M child devices 3-1. To 3-M (each also referred to as a slave unit 3-m).
The parent device power transmission control unit 1 controls the current supplied to the plurality of parent devices 2-n. Here, the parent device power transmission control unit 1 is “0” or “abbreviated” of the real impedance matrix Z formed of the real part of the matrix formed by the real part of the impedance (resistance value) matrix between the parent devices in the presence of the child device. The current is controlled based on the eigenvector corresponding to the eigenvalue that is not 0 ′. For example, the base unit power transmission control unit 1 controls the current based on an eigenvector whose eigenvalue of the actual impedance matrix Z is 5% or more of the absolute value of the maximum eigenvalue (referred to as the maximum eigenvalue). To do.
Thereby, in the wireless power feeding system, power can be fed including the influence of mutual inductance between the plurality of parent devices 2-n, and the power transmission efficiency from the plurality of parent devices 2-n to the child device 3-m can be improved. It can be improved.
The parent device 2-n converts electric power (current) into a magnetic field according to the control of the parent device power transmission control unit 1, and generates a magnetic field toward the space. The subunit | mobile_unit 3-m converts the energy of the magnetic field radiated | emitted from the some parent | base_device 2-n into electric power, and receives electric power. The subunit | mobile_unit 3-m performs various operation | movement using the received electric power.

<About the master unit 2-n and the slave unit 3-m>
FIG. 2 is a schematic block diagram illustrating a configuration of the parent device 2-n and the child device 3-m in the wireless power feeding system 101. In this figure, the master unit 2-n includes a power supply unit 21-n, an ammeter 24-n, a voltmeter 25-n, a switch 26-n, and a power transmission unit 28-n. The power transmission unit 28-n includes a capacitor 22-n and a coil 23-n. In FIG. 2, the signal line indicates only the connection between the parent power transmission control unit 1 and the parent device 2-1, but the signal line also indicates the parent device power transmission control unit 1 and the other parent device 2-n. Similarly connected and synchronized.

The power supply unit 21-n supplies the current input from the parent device power transmission control unit 1 to the circuit of the parent device 2-n. Here, as will be described later, the amplitude of the current input from the parent power transmission control unit 1 is equal to the current ratio of the specific current vector, and the phase is the current flowing through the coil 23-n of each parent device 2-n. The currents are set so that the phases (that is, the phases of the currents flowing through the ammeter 24-n) are all equal. This is because the current supplied to the coil 23-n of each parent device needs to match not only the frequency but also the phase. The capacitor 22-n is a passive element that stores and discharges charges by electrostatic capacitance. The coil 23-n is, for example, a conductive wire wound in a spiral shape. The coil 23-n is a passive electrical component that stores and releases energy by a magnetic field generated by a flowing current. The ammeter 24-n is a meter that measures the magnitude of the complex current, and can measure the current amplitude and phase at the same time. In addition, the power supply unit 21-n may be a connector that receives a current input from the parent device power transmission control unit 1.
The ammeter 24-n may be anything that can output a real-time waveform of current, such as an A / D converter, for example. That is, the ammeter 24-n is a meter that measures a complex current, and can measure the current amplitude and phase at the same time. The voltmeter 25-n may be any one that can output a real-time waveform of voltage, such as an A / D converter. The switch 26-n opens and closes the electric circuit. That is, the voltmeter 25-n is a meter that measures a complex voltage, and can measure the voltage amplitude and phase at the same time. However, the negative current is considered to have the same phase and negative amplitude.

In FIG. 2, one end of a power supply unit 21-n is connected to one end of a capacitor 22-n, and is connected to one end of a coil 23-n via an ammeter 24-n and a switch 26-n. One end of the capacitor 22-n is connected to one end of the power supply unit 21-n, and is connected to one end of the coil 23-n via the ammeter 24-n and the switch 26-n. One end of the voltmeter 25-n is connected to one end of the coil 23-n.
The other end of the power supply unit 21-n is connected to the other end of the capacitor 22-n, the other end of the voltmeter 25-n, and the other end of the coil 23-n. The other end of the capacitor 22-n is connected to the other end of the power supply unit 21-n and the other end of the coil 23-n. The other end of the voltmeter 25-n is connected to one end of the coil 23-n.
One end of the ammeter 24-n is connected to one end of the power supply unit 21-n and one end of the capacitor 22-n. The other end of the ammeter 24-n is connected to one end of the voltmeter 25-n and the other end of the coil 23-n via the switch 26-n.

That is, the circuit of the parent device 2-n is a resonance circuit in which the coil 23-n and the capacitor 22-n are connected in parallel. In the circuit of the parent device 2-n, the current flowing through the coil 23-n is changed based on the current input from the power supply unit 21-n, so that a magnetic field is generated in the coil 23-n.
The ammeter 24-n measures the current flowing through the coil 23-n. The voltmeter 25-n measures the voltage applied to the coil 23-n. When the switch 26-n is opened, the coil 23-n and the voltmeter 25-n are disconnected from the power supply unit 21-n, the capacitor 22-n, and the ammeter 24-n. Thereby, the voltmeter 25-n can measure the voltage (for example, voltage magnitude V _ij described later) generated in the coil 23-n without being affected by the power supply unit 21-n and the capacitor 22-n.

In FIG. 2, the slave unit 3-m includes a switch 33-m, a rectifier 34-m, a power storage device 35-m, a voltmeter 36-m, a load 37-m, a switch control unit 38-m, and a power receiving unit. 39-m is included. The power receiving unit 39-m includes a coil 31-m and a capacitor 32-m.
The coil 31-m is a passive electrical component that stores and releases energy by a magnetic field formed by a flowing current. The capacitor 32-m is a passive element that stores and discharges electric charges by electrostatic capacitance. The switch 33-m opens and closes the electric circuit. The rectifier 34-m converts AC power into DC current. The power storage device 35-m is a power storage element that can be repeatedly used by charging, and a storage battery or a capacitor can be used.
Each power storage device (also referred to as a storage battery) 35-m included in each slave unit 3-m may have a different storage capacity (capacitance). The voltmeter 36-m is a meter that measures a voltage. The load 37-m consumes electric energy.
The switch control unit 38-m opens and closes the switch based on the voltage measured by the voltmeter 36-m. Specifically, the switch control unit 38-m opens the switch 33-m when the voltage measured by the voltmeter 36-m is equal to or greater than a predetermined threshold value. On the other hand, the switch control unit 38-m closes the switch 33-m when the voltage measured by the voltmeter 36-m is less than a predetermined threshold.

One end of the coil 31-m is connected to one end of the capacitor 32-m and one end on the input side of the rectifier 34-m via the switch 33-m. One end of the capacitor 32-m is connected to one end of the coil 31-m via the switch 33-m, and is connected to one end on the input side of the rectifier 34-m.
The other end of the coil 31-m is connected to the other end of the capacitor 32-m and the other end on the input side of the rectifier 34. The other end of the capacitor 32-m is connected to the other end of the coil 31-m, and is connected to the other end on the input side of the rectifier 34-m.

One end of the output side of the rectifier 34-m is connected to one end of the storage battery 35-m, one end of the voltmeter 36-m, and one end of the load 37-m. One end of the storage battery 35-m is connected to one end on the output side of the rectifier 34-m, one end of the voltmeter 36-m, and one end of the load 37-m. The other end of the voltmeter 36-m is connected to the other end of the output side of the rectifier 34-m, the other end of the storage battery 35-m, and the other end of the load 37-m. One end of the load 37-m is connected to one end of the rectifier 34-m, one end of the storage battery 35-m, and one end of the voltmeter 36-m.
The other end of the output side of the rectifier 34-m is connected to the other end of the storage battery 35-m, the other end of the voltmeter 36-m, and the other end of the load 37-m. The other end of the storage battery 35-m is connected to the other end on the output side of the rectifier, the other end of the voltmeter 36-m, and the other end of the load 37-m. The other end of the voltmeter 36-m is connected to the other end of the output side of the rectifier 34-m, the other end of the storage battery 35-m, and the other end of the load 37-m. The other end of the load 37-m is connected to the other end of the rectifier 34-m, the other end of the storage battery 35-m, and the other end of the voltmeter 36-m.

  The coil 31-m forms a resonance circuit with the capacitor 32-m, and resonates with the magnetic field generated by the coils 23-n of the plurality of parent devices 2-n. Thereby, an induced current is generated in the coil 31-m. The generated induced current (alternating current) is converted into a direct current by the rectifier 34-2. The converted direct current is stored in the storage battery 35-m or supplied to the load 37-m. The electric power stored in the storage battery 35-m is supplied to the load 37-m.

<About the power transmission control unit 1>
FIG. 3 is a schematic block diagram illustrating a configuration of the parent device power transmission control unit 1 in the wireless power feeding system 101. In this figure, the base unit power transmission control unit 1 includes a complex voltage detection unit 11, a complex current detection unit 12, a current distribution determination unit (distribution determination unit) 13, a current amplitude control unit 15, a storage unit 16, and a control unit 17. Consists of.

  The complex voltage detector 11 receives voltage information indicating the voltage measured by the voltmeter 25-n from each voltmeter 25-n of the parent device 2-n. When the current is Acos ωt, the complex voltage detector 11 multiplies the voltage indicated by the voltage information input from the voltmeter 25-n by cos ωt and sin ωt having the same frequency, and passes the low frequency component through a low-pass filter. Alternatively, DC components are taken out and are made real and imaginary components, respectively. The complex voltage detection unit 11 outputs complex voltage information indicating the calculated amplitude and phase components of the voltage to the current distribution determination unit 13. When the voltage is a single frequency component, the complex voltage detection unit 11 uses the voltage value when the current takes a positive maximum value as a real component, and also uses the voltage value at a time delayed by a quarter cycle as an imaginary component. Good. When the current is a single frequency component, the complex current detection unit 12 uses the current value when the voltage takes a positive maximum value as a real component, and the current value at a time delayed by a ¼ cycle from the current value as an imaginary component. Good.

  The complex current detector 12 receives current information indicating the current measured by the ammeter 24-n from each ammeter 24-n. The complex current detection unit 12 multiplies the current indicated by the current information input from the ammeter 24-n by cos ωt and sin ωt having the same frequency, and extracts the low frequency component or the DC component via the low-pass filter. An amplitude component and a phase component are calculated based on the extracted low frequency component or DC component. The complex current detection unit 12 outputs complex current information indicating the calculated current amplitude and phase component to the current distribution determination unit 13 and the current amplitude control unit 15.

When an energization command for flowing current is input from the control unit 17, the current distribution determination unit 13 closes only the switch 26-j of one parent device 2-j and the other parent device 2-n (n ≠ A switch switching signal for opening the switch 26-n in j) is output to the switch 26-n (1 ≦ n ≦ N). Here, the current distribution determination unit 13 sequentially outputs switch switching signals from j = 1 to j = N.
The current distribution determination unit 13 writes information measured by the parent device 2-i (i = 1 to N) in the storage unit 16 when the switch 26-j is closed based on the switch switching signal. Specifically, the current distribution determining unit 13 measures the complex voltage information (measured by the voltmeter 25-i) input from the complex voltage detecting unit 11 when the switch 26-j is closed based on the switch switching signal. represented by a voltage of a magnitude expressed by _{V ij)} and the complex current information input from the complex current detector 12 (the current total 24-i is the measured current magnitude _{I ij. here, I} ii ₌ I 0) Is stored in the storage unit 16.

  The current distribution determination unit 13 reads the complex voltage information and the complex current information from the storage unit 16 after outputting the switch switching signal, and determines a current ratio to be supplied to each of the plurality of parent devices 2-n based on the read information. (Referred to as current determination processing). The current distribution determination unit 13 outputs information indicating the determined current ratio to the current amplitude control unit 15. Note that after the current determination process is completed, the current distribution determination unit 13 outputs a switch switching signal for closing all the switches 26-n to the switch 26-n.

The current amplitude control unit 15 receives power from a commercial power source. The current amplitude control unit 15 allocates the current supplied from the commercial power source to the parent device 2-n based on the current ratio indicated by the information input from the current distribution determination unit 13. The current amplitude control unit 15 supplies the assigned current (electric signal) to the power supply unit 21-n of the parent device 2-n. Further, the current amplitude controller 15 is based on the complex current information calculated by the complex current detector 12 so that the phases of the currents flowing through the coils 23-n (that is, the ammeters 24-n) are equal. The current supplied to 21-n is controlled. However, the current amplitude includes a negative amplitude. Moreover, the phase of the current is equal when the phase is 0 degree or 180 degrees. The current amplitude control unit 15 outputs a signal for controlling the amplitude and phase of the current flowing through the coil 23-n to the power supply unit 21-n, and the power supply unit 21-n controls the amplitude and phase of the input current. The amplitude and phase of the output current may be controlled based on the signal to be output. Note that the current amplitude control unit 15 may assign a current so that the sum of the currents supplied to the parent device 2-n does not exceed the rated current of the commercial power source. Further, the current amplitude control unit 15 may assign the current so that the sum of squares of the current supplied to the parent device 2-n does not exceed the allowable loss of the antenna. Further, the current amplitude control unit 15 may assign a current so that the maximum current supplied to each parent device 2-n does not exceed the rated current of the parent device. In the present invention, the electric signal may be a voltage, a linear combination of current and voltage.
The control unit 17 outputs an update command to the current distribution determination unit 13 when the wireless power feeding system is activated or periodically.

  FIG. 4 is a schematic block diagram illustrating the configuration of the current distribution determination unit 13 in the wireless power feeding system 101, and is a diagram illustrating an equivalent circuit when the coil has a stray capacitance. FIG. 4A is a schematic block diagram showing the configuration of the current distribution determination unit 13 in the wireless power feeding system 101. In this figure, the current distribution determination unit 13 includes an energized parent device selection unit 131, a measured parent device selection. Unit 132, voltage / current input unit 133, impedance matrix generation unit 134, and current vector generation unit 135.

The energized parent device selection unit 131 selects one parent device 2-j and outputs a switch switching signal for closing only the switch 26-j of the selected parent device 2-j to the switch 26-j. While only the switch 26-j is closed, the energized parent device selection unit 131 outputs a current having a known current value to the parent device 2-j (the magnitude of the current in the ammeter 24-j is I _0. , Angular frequency ω ₀ ).

The measured parent device selection unit 132 sequentially selects the parent device 2-i (1 ≦ i ≦ N) while the switch 26-j of the parent device 2-j is closed.
The voltage / current input unit 133 includes complex voltage information (voltage magnitude V _ij ) input from the complex voltage detection unit 11 and complex current detection for the parent device 2-i selected by the energization parent device selection unit 131. The complex voltage information (current magnitude I _ij ) input from the unit 12 is written in the storage unit 16.

The impedance matrix generation unit 134 is based on the voltage magnitude V _ij indicated by the complex voltage information stored in the storage unit 16, and is based on the impedance matrix Z (a circuit composed of values related to resistance, and the real part of the component represents energy dissipation). Matrix). Specifically, the impedance matrix generation unit 134 generates an i row j column component Z _ij of the impedance matrix Z using the following equation (5).

  The impedance matrix generation unit 134 outputs impedance information indicating the generated impedance matrix Z to the current vector generation unit 135.

The current vector generation unit 135 has an eigenvalue and a corresponding eigenvector (referred to as current vector I. The i-th component is represented by I _i ) for the matrix (real impedance matrix) created by the real component of the impedance matrix Z indicated by the impedance information. Is calculated. That is, current vector generation unit 135 calculates an eigenvector of impedance matrix Z, and determines power to be supplied to a plurality of parent devices 2-n based on the eigenvector.
Specifically, the current vector generation unit 135 calculates a current vector I expressed by the following equation (6). The current vector I is a real vector.

  The current vector generation unit 135 calculates the current vector I from the conversion matrix obtained simultaneously by solving the secular equation of the eigenvalue problem expressed by Equation (6). The current vector generation unit 135 calculates the current vector I using the LR decomposition method, but the present invention is not limited to this, and may be calculated using a known method such as a QR decomposition method. That is, the current vector generation unit 135 determines a current to be supplied to the plurality of parent devices 2-n (coils 23-n) so as to be proportional to the eigenvector of the real component of the impedance matrix Z.

The current vector generation unit 135 selects the current vector I when the eigenvalue for the current vector I becomes the maximum value (also referred to as the maximum eigenvalue) among the calculated current vectors I. That is, the current vector generation unit 135 determines the power to be supplied to the plurality of coils 23-n so that the eigenvalue for the current vector I becomes the maximum.
The current vector generation unit 135 divides the selected current vector I by the absolute value | I | of I, and a ratio of current that supplies I _i / | I | that is the i component after division to the parent device 2-i ( Current ratio). That is, current vector generation unit 135 determines a current ratio to be supplied to each of the plurality of parent devices 2-n. Note that the current ratio includes a minus value.
The current vector generation unit 135 outputs information indicating the determined current ratio to the current amplitude control unit 15. The current vector generator 135 outputs a switch switching signal for closing all the switches 26-n to the switch 26-n. Since Re (Z) in equation (6) is real symmetric, the eigenvalue λ is also a real number. In addition, since the corresponding eigenvector components are all real numbers, the current ratio is a drive control signal for driving the current and the voltage in phase. (At this time, the phases of the currents output from the power supply unit 21-n are not in phase.)

<About the effects>
Hereinafter, the operation and effect when the current of the current ratio determined by the current vector generation unit 135 is supplied to the parent device 2-n will be described.

(Inductance matrix and impedance matrix)
The parent devices 2-1 to 2-N have a total of N coils 23-1 to 23-N, and the child devices 3-1 to 3-M have a total of M coils 31-1 to 31-M. There is. Each of the coils 23-1 to 23-N and 31-1 to 31-M has a self-inductance and a mutual inductance exists between the coils. When this is written in the form of an (N + M) × (N + M) order inductance matrix L, the following equation (7) is obtained.

Here, the vector l _0m is an (N × 1) _-order matrix, and is a mutual inductance between the coil 23-n of each parent device 2-n viewed from the coil 31-m of the child device 3-m. is there. The vector l _m0 is a (1 × N) _-th order matrix and is a transposed matrix of l _0m . l _m is the self-inductance of the coil 31-m of the child device 3-m. The mutual inductance between the slave units 3-m is on the power receiving side and is neglected because the value is small. Here, a matrix of [l _0m ,..., L _0M ] is referred to as L _PC . L _PC is an (N × M) matrix. _{[L m0, ..., l M0} ] the matrix of ^T will be referred to as _{L CP.} L _CP is an (M × N) matrix and is a mutual inductance between the coil 31-m of each child device 3-m viewed from the coil 23-n of the parent device 2-n. _{[L 1, ..., 0,} ..., 0, ... l M] a matrix of will be referred to as _{L CC.} L _CC is an (M × M) matrix. Let L _{0 be} a matrix of L _PP . L _pp is an (N × N) matrix and is a mutual inductance between the parent devices 2-n. L ₀ is an inductance matrix of the parent device expressed as the following equation (8).

L _i represents the self-inductance of the coil 23-i, and L _ij represents the mutual inductance between the coil 23-i and the coil 23-j. As described above, in the wireless power feeding system 101, the inductance matrix L is an [N + M] × [N + M] -dimensional matrix as represented by the equations (7) and (8). The impedance matrix representing the impedance of each coil 23-n when the current of the angular frequency ω is supplied to the parent device 2-n represented by the inductance matrix is N × N represented by the following equation (9). It becomes a matrix of dimensions.

Here, j is an imaginary unit, ω is an angular frequency of the current flowing through the coil, and ζ _m is an impedance including the matching circuit of the slave unit 3-m viewed from the coil 31-m of the m-th slave unit 3-m. . Further, l _m is a self-inductance of the m-th slave unit, and a vector l _0m is a mutual inductance with each master unit of the m-th slave unit. That is, the impedance matrix Z is based on the plurality of coils 23-n.

(Energy consumption of the main unit coil)
Next, the energy consumed by the coil 23-n of the parent device 2-n is expressed by an expression using a current and an impedance matrix. The energy consumed by the coil 23-n of the parent device 2-n is the sum of the energy transmitted to the child device by the magnetic field generated by the current flowing through the coil 23-n and the ohmic loss due to the resistance of the coil 23-n. . Since the ohmic loss is small compared to the energy transmitted to the slave unit by the magnetic field, it is introduced as a perturbation in the impedance matrix Z. The energy P transmitted through the entire coils 23-1 to 23-N is expressed by Equation (10).

Therefore, when P is maximized, a current vector (current ratio flowing through the coil 23-n of each parent device) that gives the maximum energy consumption (proportional to the magnetic field energy) of the coils 23-1 to 23-N is given. . At this time, since the loss is mainly the ohmic loss of the coils 23-1 to 23-N of the parent machine, by imposing | I | ² = constant (standardization condition), when the coils are the same, A constant loss will be imposed. Since Z is a symmetric matrix, ReZ is a real symmetric matrix.
When the electric signal supplied to the parent device 2-n is a voltage, the standardization condition is | V | ² = constant.

FIG. 4B is a diagram illustrating an equivalent circuit when the coil 23-n in the wireless power supply system 101 has a stray capacitance. In FIG. 4B, a coil L ′ is a coil having a stray capacitance C ′, C ′ is a stray capacitance of the coil L ′, and Ant is an equivalent circuit of the antenna.
As shown in FIG. 4B, when the coil 23-n has a stray capacitance, the linear combination of the current I flowing through the equivalent circuit of the antenna and the voltage V instead of the current I flowing through the coil 23-n is expressed by the following equation (11). ).

  In Expression (11), I ′ is a current flowing in the coil L ′ portion of the antenna equivalent circuit Ant. Therefore, by using this current-coupled current I ′ instead of I in the above-described procedure, when P becomes maximum, the energy consumed by the coils 23-1 to 23-N (proportional to the magnetic field energy) is increased. A maximum current vector (a ratio of currents flowing through the coils 23-n of the respective parent devices) can be calculated.

(Calculation of current vector)
| I | ² = Determining the current vector I that maximizes the equation (10) under a certain condition is mathematically equivalent to obtaining the current vector I having the maximum eigenvalue of the secular equation (12) shown below. Is equivalent.

Therefore, by diagonalizing the execution sequence ReZ in the equation (12), a plurality of eigenvalues and current vectors corresponding to the respective eigenvalues are obtained. That is, the current vector generation unit 135 includes a plurality of parent devices 2-n (coils 23-n) so that the sum of squares of currents flowing through the plurality of parent devices 2-n (coils 23-n) is constant. Determine the power to be supplied. Here, since Re (Z) is a real symmetric matrix, all λ are real numbers. Therefore, the handset only consumes energy, and the eigenvalue takes a positive value.
The current vector corresponding to the maximum eigenvalue among these eigenvalues and current vectors is the current vector that gives the maximum power transfer efficiency.
Here, the direct product of the mutual inductances of the m-th child devices 3-m appearing in the second term of the equation (9) with the parent devices 2-1 to 2-N is N × as shown in the equation (13). It becomes an N-dimensional matrix.

The rank of this matrix is usually the number M of master units. Therefore, among the eigenvalues of the impedance matrix (the real part thereof), there are M that have positive eigenvalues, and the remaining NM eigenvalues are zero.
Since the current vector corresponding to the eigenvalue of 0 cannot transmit power to all the slave units 3-m and only causes ohm loss in the coils 23-1 to 23-N. Even if a current represented by a linear combination of currents indicated by the current vector is passed through the coils 23-1 to 23-N, it is useless.

<Operation of wireless power supply system>
FIG. 5 is a flowchart illustrating an example of the operation of the current distribution determination unit 13 in the wireless power supply system 101.
(Step S501) When the update command is input, the energized master unit 131 assigns 0 to the master unit selection counter j of the current vector storage unit 16. Thereafter, the process proceeds to step S502.
(Step S502) The energized parent device selection unit 131 increments the parent device selection counter j in the storage unit 16 by one. Thereafter, the process proceeds to step S503.

(Step S503) The energized parent device selection unit 131 closes the switch 26-j of the parent device 2-j and opens the switch 26-n of the other parent device 2-n (n ≠ j). Thereafter, the process proceeds to step S504.
(Step S504) The current distribution determination unit 13 supplies a current to the coil 23-j of the parent device 2-j. The complex voltage detector 11 receives voltage information indicating the voltage (V _ij ) measured by the voltmeter 25-i from each voltmeter 25-i of the parent device 2-i. The complex current detection unit 12 receives current information indicating the current (I _ij ) measured by the ammeter 24-i from each ammeter 24-i. Here, when i ≠ j, I _ij = 0. Thereafter, the process proceeds to step S505.

(Step S505) The impedance matrix generation unit 134 determines whether j = N. If it is determined that j = N, the process proceeds to step S506. If it is determined that j ≠ N, the process returns to step S502.
(Step S506) The impedance matrix generation unit 134 calculates a matrix having the component V _ij obtained in Step S504 as a matrix V. The impedance matrix generation unit 134 calculates a matrix having I _ij obtained in step S504 as a component as a matrix I. The impedance matrix generation unit 134 calculates a component Z _ij of the impedance matrix Z using the following equation (14).

  Thereafter, the process proceeds to S507.

(Step S507) The current vector generation unit 135 solves the secular equation (12) for the impedance matrix Z calculated in Step S506 under the condition that the sum of squares of the total current is constant (| I | ² = constant). The solution thus obtained is an eigenvalue and a current vector I corresponding to the eigenvalue. The current vector generation unit 135 selects the current vector I when the eigenvalue for the current vector I becomes the maximum value (also referred to as the maximum eigenvalue) among the calculated current vectors I.
Current vector generation unit 135 divides selected current vector I by absolute value | I | of I, and determines the i component of I _i / | I | after division as a current ratio to be supplied to base unit 2-i. .
(Step S508)
The current vector generation unit 135 outputs information indicating the determined current ratio to the current amplitude control unit 15. The current amplitude control unit 15 supplies the current of the current ratio indicated by the input information to each parent device 2-n. Specifically, a current proportional to I _i / | I | is supplied to the coil 23-i of the parent device 2-i.

As described above, according to the wireless power feeding system 101, the plurality of coils 23-n are arranged so that the real impedance matrix formed by the real component of the impedance matrix Z based on the mutual inductance of the plurality of coils 23-n has the maximum eigenvalue. Determine the power to be supplied. Specifically, in the wireless power feeding system, an eigenvector (current vector I) of the impedance matrix Z is calculated, and current is supplied to the plurality of coils 23-n based on the current vector I. Thereby, in the wireless power feeding system, power can be fed including the influence of mutual inductance between the plurality of parent devices 2-n, and the power transmission efficiency from the plurality of parent devices 2-n to the child device 3-m can be improved. It can be improved.
Further, according to the wireless power feeding system 101, the power supplied to the plurality of coils 23-n is determined so that the sum of the squares of the magnitudes I of the currents flowing through the plurality of coils 23-n is constant. As a result, in the wireless power feeding system, the energy loss (proportional to the sum of the squares of the current magnitude I) in the coil 23-n is constant, and the plurality of parent devices 2-n can be operated at the maximum energy efficiency. Electric power can be supplied to the child device 3-m.
Further, according to the wireless power feeding system 101, the power to be supplied to the plurality of coils 23-n is determined so that the eigenvalue with respect to the current vector I is maximized. Thereby, in the wireless power feeding system, the power supplied from the plurality of parent devices 2-n can be maximized, and the power transmission efficiency from the plurality of parent devices 2-n to the child device 3-m can be improved.

  In the wireless power feeding system 101, the current vector generation unit 135 determines the power to be supplied to the coils 23-n so as to be a linear combination of non-zero components of the eigenvector (current vector I) of the impedance matrix Z. May be.

In the wireless power feeding system 101, the current vector generation unit 135 may select a current vector I corresponding to an eigenvalue other than the maximum eigenvalue. For example, the current vector generation unit 135 may select the current vector I corresponding to the second largest eigenvalue (also referred to as a second eigenvalue).
In this regard, some buildings have a reinforcing bar structure. In this building room, the maximum eigenvalue may correspond to the feeding of the reinforcing bars. When the current vector generation unit 135 selects the second eigenvalue, the wireless power feeding system can prevent power from being supplied to the reinforcing bar even in a building room having a reinforcing bar structure. That is, in the wireless power feeding system, by selecting the current vector I corresponding to various eigenvalues, it is possible to prevent power from being supplied to conductors other than the child device 3-m. The transmission efficiency of power to the machine 3-m can be improved.
Note that an eigenvector corresponding to the third or more eigenvalue may be selected.

<Simulation>
FIG. 6 is a diagram illustrating a simulation result of the wireless power supply system 101. In this figure, the x-axis and y-axis represent spatial coordinates, and the xy plane is a plane parallel to the floor surface. The z axis represents the magnitude of power. The simulation of FIG. 6 shows a current pattern in the case where 10 × 10 coils (450 mm interval) coils 23-n are attached to the floor and power is transmitted to the slave antennas located at 1 m and 0.5 m from the floor. . In the simulation of FIG. 6, the size of the coils 23-n and 31-m is the same for both the parent device 2-n and the child device 3-m, and the calculation was performed under the assumption that the coil diameter is sufficiently small. .
In FIG. 6, the child device 3-1 is installed at a point 601 denoted by reference numeral 601 and a point 611 denoted by reference numeral 611 at a height of 0.5 m from the floor. The cordless handset 3-2 is installed at a height of 1 m from the floor at a point 602 denoted by reference numeral 602 and a point 612 denoted by reference numeral 612.

FIG. 6A is a diagram when the current vector generation unit 135 selects the current vector I when it corresponds to the maximum eigenvalue. In Fig.6 (a), the electric power in the subunit | mobile_unit 3-1 was 124.241.
FIG. 6B is a diagram when the current vector generation unit 135 selects the current vector I in the case of corresponding to the second eigenvalue. In FIG.6 (b), the electric power in the subunit | mobile_unit 3-2 was 7.37623 in arbitrary scales.
As described above, the current vector generation unit 135 selects the current vector I corresponding to each eigenvalue, whereby the child device 3-m that supplies power can be selected.

  FIG. 7 is a schematic block diagram illustrating a configuration of a current distribution determination unit 13a in a wireless power supply system 101m1 that is a modification of the wireless power supply system 101. When FIG. 7 is compared with FIG. 4A, the energized parent device selection unit 131a and the impedance matrix generation unit 134a of the current distribution determination unit 13a are different. Since the functions of other configurations are the same, description of the other configurations is omitted.

The energized parent device selection unit 131a outputs to the switch 26-n a switch switching signal for closing the switches 26-n of all the parent devices 2-n. The energized master unit selection unit 131a selects one master unit 2-j, and the master unit 2-j has a current with a known current value (the magnitude of the current in the ammeter 24-j is I ₀ , An angular frequency ω ₀ ) is supplied. Note that the measured parent device selection unit 132 sequentially selects the parent device 2-i while the current is supplied to the parent device 2-j, and stores the complex voltage information and the complex voltage information in the storage unit 16. Write. The energized parent device selection unit 131a and the measured parent device selection unit 132 perform the same processing for all j.

FIG. 8 is a flowchart illustrating another example of the operation of the current distribution determination unit 13a in the wireless power supply system 101m1. This modification is applied when the parent device 2-n does not have the switch 26-n (that is, the switch 26-n is always On).
(Step S801) When an update command is input, the energized parent device selection unit 131a substitutes 0 for the parent device selection counter j of the current vector storage unit 16. Thereafter, the process proceeds to step S802.
(Step S802) The energized parent device selection unit 131a increments the parent device selection counter j in the storage unit 16 by one. Thereafter, the process proceeds to step S803.

(Step S803) The current distribution determination unit 13a supplies a current to the coil 23-j of the parent device 2-j. Thereafter, the process proceeds to step S804. At this time, an induced current may also flow through the power supply unit 21-n of the parent unit where n ≠ j, but this may be acceptable.
(Step S804) The complex voltage detector 11 receives voltage information indicating the voltage (V _ij ) measured by the voltmeter 25-i from each voltmeter 25-i of the parent device 2-i. The complex current detection unit 12 receives current information indicating the current (I _ij ) measured by the ammeter 24-i from each ammeter 24-i. Thereafter, the process proceeds to step S805.

(Step S805) The impedance matrix generation unit 134a determines whether j = N. If it is determined that j = N, the process proceeds to step S806. If it is determined that j ≠ N, the process returns to step S802.
(Step S806) The impedance matrix generation unit 134a calculates a component Z _ik (k is an integer from 1 to N) of the impedance matrix Z using the following equation (15).

Here, Expression (27) is N × N simultaneous equations having N × N unknowns Z _ik .
The impedance matrix generation unit 134a obtains the component Z _ik of the impedance matrix Z by solving the simultaneous equations (15). Since Z _ik is a target matrix, the independent component is N × (N−1) / 2. However, we ignore this and solve the simultaneous equations here. In this case, Z _ik = Z _ki in the complex range. Thereafter, the process proceeds to step S807.

(Step S807) The current vector generation unit 135 solves the secular equation (12) for the impedance matrix Z calculated in Step S806 under the condition that the sum of squares of the total current is constant (| I | ² = constant). The solution thus obtained is an eigenvalue and a current vector I corresponding to the eigenvalue. The current vector generation unit 135 selects a current vector I whose corresponding eigenvalue is the maximum eigenvalue from the calculated current vector I.
The current vector generation unit 135 calculates I _i / | I | based on the selected current vector I, and determines the calculated I _i / | I | as a current ratio to be supplied to the parent device 2-i.
(Step S808)
The current vector generation unit 135 outputs information indicating the determined current ratio to the current amplitude control unit 15. The current amplitude control unit 15 supplies the current of the current ratio indicated by the input information to each parent device 2-n. Specifically, a current proportional to I _i / | I | is supplied to the coil 23-i of the parent device 2-i.

  Thus, according to the wireless power feeding system 101m1, the current vector I can be calculated even when the parent device 2-n does not have the switch 26-n. Therefore, a current can be supplied to the coil 23-i of the parent device 2-i according to the current ratio indicated by the current vector I.

  In the wireless power feeding system 101m1, the operation of the switch 33-m of the slave unit 3-m shown in FIG. 2 will be described. When the charging voltage measured by the voltmeter 36 becomes larger than a predetermined threshold during the period when the main unit is not performing impedance measurement, that is, during the period when power is transferred (S508 or S808), the switch control unit 38 It is determined that charging is complete. When it is determined that the charging is completed, the switch control unit 38 outputs an open / close signal for opening the switch 33-m, the switch 33-m is opened, and no further charging is performed. The frequency of switching of the switch 33-m of the child device 3-m is sufficiently larger than the update interval of the impedance matrix of the parent device 2-n, and within the update interval, the switch 33-m of the child device 3-m. May not change. Alternatively, the switching of the switch 33-m may be synchronized with the update of the impedance matrix of the parent device 2-n. In this case, a device that transmits and receives a synchronization signal such as a radio is required between the parent device 2-n and the child device 3-m.

Here, when the current distribution determination unit 13 determines the current ratio again according to the update command of the control unit 17, the impedance matrix Z in which the child device 3-m in which the switch 33-m is open is ignored is calculated. . In this case, the current distribution determination unit 13 selects a current vector I that does not supply power to the child device 3-m. For example, when the current distribution determining unit 13 selects the current vector I corresponding to the maximum eigenvalue, in the wireless power feeding system, electric power is supplied centering on the child device 3-1. Thereafter, when slave unit 3-1 opens the switch, current distribution determining unit 13 selects current vector I corresponding to another maximum eigenvalue. Thereby, in the wireless power feeding system, for example, power starts to be supplied centering on the slave unit 3-2.
In this way, by opening / closing the switch 33-m of the child device 3-m, the wireless power feeding system can sequentially select the child device 3-m that supplies a large amount of power.

However, even if the switch 33-m is not provided, the wireless power supply system can sequentially select the slave units 3-m that supply large power.
FIG. 9 is a schematic block diagram illustrating a configuration of a parent device and a child device in a wireless power feeding system 101m2 that is a modification of the wireless power feeding system 101. This figure is a diagram showing a case where the child device 3-m has no switch. In FIG. 9, the signal lines of the parent power transmission control unit 1 (not shown) and the parent device 20-n are connected and synchronized. In FIG. 9, an ammeter 24-1 is a meter that measures a complex current, and can measure the current amplitude and phase simultaneously. The voltmeter 25-1 is a meter that measures a complex voltage, and can measure the voltage amplitude and phase at the same time. In addition, the power supply unit 21-n may be a connector that receives a current input from the parent device power transmission control unit 1.
In this case, charging of the storage battery 35-m is continued. The real part of the impedance viewed from the capacitor 32-m increases as the charge state increases, and the eigenvalue viewed from the parent device is considered to decrease. That is, in the wireless power feeding system, the priority of power feeding naturally falls and power is not fed (power reception refusal mode). In this case, in the wireless power feeding system, the cost for introducing the switch 33-m can be reduced. In addition, in the subunit | mobile_unit 3-m, what has the switch 33-m and what does not have may be mixed.

(Wireless power supply system 102)
Hereinafter, the wireless power supply system 102 will be described. In the wireless power feeding system 102, the power supplied to the coils of the plurality of parent devices is determined so as to converge to the eigenvector corresponding to the maximum eigenvalue of the impedance matrix Z. The parent device 2-n and the child device 3-m in the wireless power feeding system 102 are the same as those in the wireless power feeding system 101. The main device power transmission control unit 1 is different from the current distribution determination unit 13 in that it includes another type of current distribution determination unit 13b. However, since the other structure in the main | base station power transmission control part 1 is the same as the wireless electric power feeding system 101, description is abbreviate | omitted.

FIG. 10 is a schematic block diagram illustrating an example of the configuration of the current distribution determination unit 13b in the wireless power supply system 102. In this figure, the current distribution determination unit 13b includes an initial current vector generation unit 136 and a current vector generation unit 137.
When an update command is input from the control unit 17, the initial current vector generation unit 136 supplies currents having the same amplitude I (0) and the same phase to all the coils 23-n as the power method initial value. Specifically, the initial current vector generation unit 136 outputs information indicating the current ratio at which the ratio is the same to the current amplitude control unit 15. However, the initial current may not have the same amplitude and the same phase.
Based on the complex voltage information input from the complex voltage detection unit 11 and the complex current information input from the complex current detection unit 12, the current vector generation unit 137 has a component in phase with the complex current of the complex voltage of each parent device. And a current ratio proportional to the component is determined (referred to as current determination processing). The current vector generation unit 137 outputs information indicating the determined current ratio to the current amplitude control unit 15. Thereafter, the current vector generation unit 137 repeats the current determination process.

FIG. 11 is a flowchart illustrating an example of the operation of the current distribution determination unit 13b in the wireless power supply system 102.
(Step S1001) When an initial command is input, the initial current vector generation unit 136 substitutes 0 for a counter k indicating the number of repetitions. Thereafter, the process proceeds to step S1002.
(Step S1002) The initial current vector generation unit 136 outputs information indicating the current ratio at which the ratio is the same to the current amplitude control unit 15. Thereby, the current amplitude control unit 15 supplies the current I _i (0) having the same amplitude and the same phase to the parent device 2-i. Thereafter, the process proceeds to step S1003.

(Step S1003) The current vector generation unit 137 stores information indicating the current ratio output in step S1002 and information indicating the current ratio determined in step S1005. Thereafter, the process proceeds to step S1004.
(Step S1004) The current vector generation unit 137 writes the complex voltage information input from the complex voltage detection unit 11 in the storage unit 16. Here, when the number of repetitions is k, the voltage measured by the ammeter 24-i of the parent device 2-i and the component in phase with the current measured by the complex current detector 12 is represented by V _i (k). . Thereafter, the process proceeds to step S1005.

(Step S1005) The current vector generation unit 137 determines the i component I _i (k + 1) of the current vector I (k + 1) using the following equation (16).

Here, V _max (k) indicates the maximum absolute value of V _i (k) at i = 1 to N. I _max is a predetermined value, for example, the maximum rated current of the current amplitude control unit 15. The current vector generation unit 137 determines the current vector component determined by Expression (16), and then proceeds to step S1006.

(Step S1006) The current vector generation unit 137 substitutes k + 1 for the counter k.
Thereafter, the process returns to step S1003.

<About the effects>
Hereinafter, the operation and effect when the current of the current ratio determined by the current vector generation unit 137 is supplied to the parent device 2-n will be described.
Since the eigenvalue takes a positive value, the eigenvalue λ0 satisfies λ0> 0 when there is at least one slave unit.

  Here, P = (I0, I1,... In), In is an eigenvector having a magnitude of 1 with respect to the nth eigenvalue (current vector, N × 1 column vector), and satisfies Expression (17) It is.

  diag (a0, a1,..., aN−1) is a diagonal matrix, and the variable represents a diagonal component. Considering the limit of k → ∞, equation (18) is obtained.

Therefore, eigenvectors other than the maximum eigenvalue converge to 0.

By repeatedly performing the calculation as described below, the current vector corresponding to the maximum eigenvalue can be obtained without performing calculations such as simultaneous equations and diagonalization.
First, when I (0) is passed through a vector with a current having the same amplitude and the same phase flowing through all the coils, the voltage component having the same phase as the current flow observed in the nth coil is represented as V (0) as a vector. Then, the relationship of Formula (19) is established.

  Here, k such as V (k) and I (k) represents the number of repeated calculations. By multiplying V (0) calculated here by a coefficient α (0), I (1) is obtained as in the following equation (20).

  Using the calculated I (1), V (1) is obtained as shown in Equation (21).

  Hereinafter, by repeating, I (k) is expressed as in Expression (22).

Here, α may be determined so that the maximum value of the current component becomes the rated current, or may be determined so that the sum of the N transmission powers becomes the rating. The ratio between each current component is determined according to the above equation. I (k) determined in this way converges to the eigenvector of the maximum eigenvalue.
As described above, the current distribution determining unit 13b converges I (k) to the eigenvector of the maximum eigenvalue by repeating the current determination process. That is, the current distribution determination unit 13b determines the power supplied to the coil 23-n by the parent device 2-n so that the current distribution determination unit 13b converges to the eigenvector of the impedance matrix Z. In other words, the current distribution determining unit 13b supplies the parent device 2-n to the coil 23-n so that the real component of the impedance matrix Z has the maximum eigenvalue.

Thus, according to the wireless power feeding system 102, the parent device 2-n determines the power supplied to the coil 23-n so as to converge to the eigenvector of the impedance matrix Z. Thereby, in the wireless power feeding system, it is possible to improve power transmission efficiency from the plurality of parent devices 2-n to the child devices 3-m.
Note that the current distribution determining unit 13b is configured so that the current corresponding to the component having the maximum absolute value among the components of the eigenvector has a current rating, or the voltage corresponding to the component having the maximum absolute value among the components of the eigenvector. The electric signal supplied to the N parent device power transmission units may be determined so that becomes a voltage rating.

FIG. 12 is a diagram illustrating a result of the wireless power feeding system 102. In this figure, the x-axis and y-axis represent spatial coordinates, and the xy plane is a plane parallel to the floor surface. The z axis represents the magnitude of power. The simulation of FIG. 12 shows a current pattern in the case where 10 × 10 (450 mm intervals) coils 23-n are attached to the floor and power is transmitted to the slave antennas located at 1 m and 0.5 m from the floor. . In the simulations of FIGS. 12A, 12B, and 12C, it is assumed that the sizes of the coils 23-n and 31-m are the same in both the parent device 2-n and the child device 3-m, and the diameter of the coil is sufficiently small. The calculation was performed under.
In FIG. 12A, FIG. 12B, and FIG. 12C, a point 1101 with a reference numeral 1101, a point 1111 with a reference numeral 1111 and a point 1121 with a reference numeral 1121 have a height of 0.5 m from the floor. Machine 3-1 is installed. The handset 3-2 is installed at a height of 1 m from the floor at a point 1102 denoted by reference numeral 1102, a point 1112 denoted by reference numeral 1112, and a point 1122 denoted by reference numeral 1122.

FIG. 12A is a diagram when the initial current vector generation unit 136 selects a current vector I that transmits the same amplitude and phase to all the coils 23-n. In FIG. 12A, uniform power is transmitted on the xy plane.
FIG. 12B shows a current pattern after the current vector generation unit 137 performs the first iterative calculation. It shows that power is transmitted not only to the point 1111 but also to the point 1112.
FIG. 12C shows a current pattern after the current vector generation unit 137 performs the second iterative calculation. Only the point 1121 indicates that power is transmitted. In FIG. 12C, the power in the child device 3-1 was 124.236 on an arbitrary scale. This is substantially equal to the power in the child device 3-1 shown in FIG. 6A, and indicates that the repeated calculation has converged.

(Wireless power supply system 103)
Hereinafter, the wireless power supply system 103 will be described. In the wireless power feeding system 103, one high frequency power source is shared by N parent devices. That is, the current supplied to the parent device is supplied from a smaller number of high-frequency power sources than the number of parent devices. The parent device controls the current supplied to the coil of the parent device by limiting the current supplied from the high-frequency power source.

  FIG. 13 is a schematic block diagram illustrating a configuration of the parent device 2b-n and the child device 3-m in the wireless power feeding system 103. In the wireless power feeding system 103, the configurations other than the parent device power transmission control unit 1b, the high frequency power supply 4b, the current receiving unit 21b-n, the current control unit (control unit) 26b-n, and the current direction switching unit 27-n are wireless power feeding. Since it is the same as that of the system 101, description thereof is omitted. In FIG. 13, the signal line shows only the connection between the parent device power transmission control unit 1b and the parent device 2b-1, but the signal line is also used for the parent device power transmission control unit 1b and the other parent device 2b-n. Similarly connected and synchronized. The current receiving unit 21b-n may be a connector that receives the current input from the parent device power transmission control unit 1b.

The high frequency power source 4b converts the power received from the commercial power source into a high frequency current, and outputs the converted high frequency current to the current receiving units 21b-1 to 21b-N.
The current receiving unit 21b-n supplies the high frequency current input from the high frequency power supply 4b to the current control unit 26b-n.
Base device power transmission control unit 1b generates a selector switching signal based on the current measured by ammeter 24-n and the voltage measured by voltmeter 25-n. Moreover, the main | base station power transmission control part 1b sets an electric current based on the electric current which the ammeter 24-n measured, and the voltage which the voltmeter 25-n measured, and electric current direction switching signal according to the positive / negative of the set electric current Is generated.
The current control unit 26b-n controls the current flowing through the coil 23-n by limiting the current input from the current receiving unit 21b-n based on the selector switching signal generated by the parent device power transmission control unit 1b. To do.
The current direction switching unit 27-n switches the direction of the current flowing through the coil 23-n based on the current direction switching signal generated by the parent device power transmission control unit 1b.
The ammeter 24-1 is a meter that measures a complex current, and can measure the current amplitude and phase at the same time. The voltmeter 25-1 is a meter that measures a complex voltage, and can measure the voltage amplitude and phase at the same time.

FIG. 14 is a schematic circuit diagram showing the configuration of the current direction switching unit 27-n in the wireless power feeding system 103, and a schematic block diagram showing the configuration of the current control unit 26b-n.
FIG. 14A is a schematic circuit diagram illustrating a configuration of a current direction switching unit 27-n in the wireless power feeding system 103. As shown in FIG. 14A, the current direction switching unit 27-n includes selectors Sb ₁ n and Sb ₂ n. The selectors Sb ₁ n and Sb ₂ n are switched by, for example, acquiring the direction of the current flowing through the ammeter 24-n (see FIG. 13) and changing the direction of the current flowing through the coil 23-n by the current direction switching unit 27-n. Switch. The selectors Sb ₁ n and Sb ₂ n are relays, for example.
As shown in FIG. 14A, the selectors Sb ₁ n and Sb ₂ n have three ports. The selector Sb ₁ n has an input terminal connected to one end of the voltmeter 25-n, one output terminal connected to one end of the coil 23-n, and the other output terminal connected to the other end of the coil 23-n. ing. The selector Sb ₂ n has an input terminal connected to the other end of the voltmeter 25-n, one output terminal connected to the other end of the coil 23-n, and the other output terminal connected to one end of the coil 23-n. Has been.

FIG. 14B is a block diagram illustrating a configuration of the current control unit 26b-n in the wireless power feeding system 103. The current control unit 26b-n includes B capacitors C1 to CB and a selector 262b-n. The capacitance C _b (1 ≦ b ≦ B) of each capacitor is expressed by Expression (23). That is, the capacitance _C 1 -C _B of the capacitor C1~CB are different from each other.

Here, α is an arbitrary constant (here, α = 0.1), ω is the angular frequency of the high frequency output from the high frequency power supply 4b, B is the number of capacitors, and _Lan is the master unit 2-n. Represents the inductance of the coil. However, alpha oversized C _b is increased, this means that the phase of the current flowing through the coil is shifted, alpha ≦ 0.5 is desirable.
One end of each of the B capacitors C1 to CB is connected to the ammeter 24-n. The other ends of the B capacitors C1 to CB are connected to terminals S1 to SB denoted by reference numerals S1 to SB. Here, the terminal is a terminal of the selector (switching unit) 262b-n. Note that the terminal S0 with the reference S0 is open. This is a non-functional switch, but when only this is turned on, it means that the current is cut off, and the software can be simplified. The other end of the selector 262b-n is connected to one end of the coil 23-n and the voltmeter 25-n. The current control unit 26b-n switches the connection of the selector 262b-n according to the selector switching signal input from the current distribution determining unit 13b. Here, the current control unit 26b-n connects one of the terminals S1 to SB and the selector 262b-n. That is, the switch switching signal is a signal indicating which capacitors C1 to CB and the coil 23-n are connected. However, the present invention is not limited to this, and the selector 262b-n may be connected to two or more terminals S1 to SB. Further, for a negative current, the current direction switching unit 27-n reverses the direction of the current.

  FIG. 15 is a schematic block diagram illustrating a configuration of the parent device power transmission control unit 1 b in the wireless power feeding system 103. Since the configuration other than the current distribution determination unit 13b, the current amplitude control unit 15b, and the selection table storage unit 18b in the wireless power supply system 103 is the same as that of the parent power transmission control unit 1 in the wireless power supply system 101, the description thereof is omitted. To do.

When the update command is input from the control unit 17, the current distribution determination unit 13b outputs a selector switching signal to the current control unit 26b-n. Here, the selector switching signal connects only the selector 262b-j of one parent device 2b-j to the terminal SB, and the selector 262b-i (n ≠ j) of the other parent device 2b-n (n ≠ j). Is a selector switching signal for connecting to the terminal S0.
When the selector 262b-j is connected to the terminal SB based on the selector switching signal, the current distribution determining unit 13b writes the information measured by the parent device 2b-j (j = 1 to N) in the storage unit 16. . Specifically, the current distribution determination unit 13b is configured to output the complex voltage information (voltmeter 25-i) input from the complex voltage detection unit 11 when the selector 262b-j is connected to the terminal SB based on the selector switching signal. Is represented by V _ij ) and complex current information input from the complex current detector 12 (the current measured by the ammeter 24-i is represented by I _ij , where I _ii = I ₀ ) is written in the storage unit 16.

  The current distribution determination unit 13b reads the complex voltage information and the complex current information from the storage unit 16 after outputting the selector switching signal. The current distribution determining unit 13b determines a current ratio to be supplied to each of the plurality of parent devices 2b-n based on the read information. The current distribution determination unit 13b outputs information indicating the determined current ratio to the current amplitude control unit 15b.

The current amplitude control unit 15b generates a selector switching signal based on the current ratio indicated by the information indicating the current ratio input from the current distribution determining unit 13b. Specifically, the current amplitude control unit 15b generates a selector switching signal for each current control unit 26b-n based on the selection table stored in the selection table storage unit 18b. Details of the selection table will be described later.
The current amplitude control unit 15b outputs the generated selector switching signal to the current control unit 26b-n. The current amplitude control unit 15b outputs a selector switching signal for controlling the amplitude, but does not output a signal for controlling the phase. This is because in the wireless power feeding system 103, the current phase can be controlled, and if Cb is sufficiently small, a current having substantially the same phase as the current supplied to the current receiving portion 21b-n flows in the coil 23-n.

The selection table storage unit 18b stores a selection table.
FIG. 16 is a schematic diagram illustrating an example of a selection table stored in the selection table storage unit 18 b in the wireless power feeding system 103. The example shown in FIG. 16 is a diagram illustrating an example where B = 10 in FIG. As shown in the figure, the selection table has columns of items of current ratio γ and selector terminal. The selection table is two-dimensional tabular data composed of rows and columns in which selector selection information is stored for each current ratio.
The data with the sign P1 indicates that the selector 262b-n selects the terminal S0 when the current ratio γ is zero. The data with the symbol P2 indicates that the selector 262b-n selects the terminal S1 when the current ratio γ is greater than 0 and less than or equal to 0.1. The data with the sign P10 indicates that the selector 262b-n selects the terminal S10 when the current ratio γ is greater than 0.9 and less than or equal to 1.

FIG. 17 is a graph showing the relationship between the number B of capacitors of the current control unit 26b-n and the energy transmission efficiency from the parent device to the child device. The vertical axis represents transmission efficiency (arbitrary scale), and the horizontal axis represents the number B of capacitors.
Here, the transmission efficiency is the sum of the energy transmitted from all the master units to all the slave units, and is the sum of squares of the currents flowing through the coils 23-n of the master unit (Joule heat consumed by the coils). It is the value divided. That is, the transmission efficiency is a value obtained by dividing the sum of the energy transmitted from all the master units to all the slave units by the sum of the ohmic losses of the coils.
The transmission efficiency increases as the number of capacitors B increases, and saturates at about B = 8. That is, it is shown that about eight capacitors are sufficient.

  As described above, in the wireless power feeding system 103, the current control unit 26b-n generates the electrical signal determined by the current distribution determination unit 13b by limiting the power supplied from the high-frequency power source 4b. With the above configuration, in the wireless power feeding system 103, the high frequency power source can be shared by the parent devices 2b-n. Since the current control unit 26b-n includes a switch and a capacitor, the cost can be reduced as compared with the case where each parent device 2b-n includes a high-frequency power source.

  In the wireless power feeding system 103 described above, an example in which a coil and a capacitor are connected in parallel to resonate has been described. However, as shown in FIGS. 18 to 20, the coil and the capacitor may be connected in series. Good. FIG. 18 is a schematic diagram of a wireless power feeding system 101 a that is a modification of the wireless power feeding system 101. FIG. 19 is a schematic diagram of a wireless power feeding system 101m2a that is a modification of the wireless power feeding system 101m2. FIG. 20 is a schematic diagram of a wireless power feeding system 103 a that is a modification of the wireless power feeding system 103. In FIG. 19, the power supply unit 21-n may be a connector that accepts a current input from the parent device power transmission control unit 1. In FIG. 20, the current receiving unit 21b-n may be a connector that receives the current input from the parent power transmission control unit 1b.

As shown in FIG. 18, the wireless power feeding system includes a parent power transmission control unit 1, N parent devices 2a-1 to 2a-N (each also referred to as a parent device 2a-n), and M child devices. 3-1 to 3-M (each also referred to as a slave unit 3-m). In FIG. 18, an ammeter is an instrument that measures a complex current, and can measure the current amplitude and phase at the same time. The voltmeter is a meter that measures a complex voltage, and can measure the voltage amplitude and phase at the same time.
As shown in this figure, in the main unit 2a-n, the capacitor is connected in series to the coil via the ammeter.

As shown in FIG. 19, M slave units 30a-1 to 30a-M (each also referred to as a slave unit 30a-m) include a rectifier 34-m, a power storage device 35-m, and a load 37-m, and The power receiving unit 39a-mn is included. The power receiving unit 39a-m includes a coil 31-m and a capacitor 32a-m. The configuration of the N master units 20-1 to 20-N is the same as that in FIG. In FIG. 19, as in FIG. 9, signal lines of the parent device power transmission control unit 1 (not shown) and the parent device 20-n are connected and synchronized. The ammeter 24-1 is a meter that measures a complex current, and can measure the current amplitude and phase at the same time. The voltmeter 25-1 is a meter that measures a complex voltage, and can measure the voltage amplitude and phase at the same time.
As shown in this figure, one end of the capacitor 32a-m is connected in series to one end of the coil 31-m, and the other end is connected to one end on the input side of the rectifier 34-m.

As shown in FIG. 20, M slave units 3a-1 to 3a-M (each also referred to as a slave unit 3a-m) include a switch 33-m, a rectifier 34-m, a power storage device 35-m, and a voltmeter. 36-m, a load 37-m, a switch control unit 38-m, and a power reception unit 39b-m. The power receiving unit 39a-m includes a coil 31-m and a capacitor 32b-m. The configuration of the N parent devices 2b-1 to 2b-N is the same as that in FIG. 13A. In FIG. 20, the signal line shows only the connection between the parent device power transmission control unit 1b and the parent device 2b-1, but the signal line is the same for the parent device power transmission control unit 1b and the other parent device 2b-n. Connected and synchronized. The ammeter 24-1 is a meter that measures a complex current, and can measure the current amplitude and phase at the same time. The voltmeter 25-1 is a meter that measures a complex voltage, and can measure the voltage amplitude and phase at the same time.
As shown in this figure, the capacitor 32b-m is connected in series with the coil 31-m via the switch 33-m. One end of the capacitor 32b-m is connected to the other end of the switch 33-m, and the other end is connected to one end on the input side of the rectifier 34-m.

In the above wireless power feeding system, N (N is an integer equal to or greater than 1) parent device power transmission unit (1 or 1b), at least one child device power reception unit (child device 3-n), In the non-contact power feeding system including a distribution determination unit (current distribution determination unit 13) that determines an electrical signal to be supplied to the parent device power transmission unit, the electrical signal has a component of current or voltage or a linear combination thereof, When the distribution determination unit is a matrix based on the real part of the impedance matrix or the real part of the admittance matrix and the electric signal when the slave unit power reception unit is present represents the dissipation of energy, the non-zero of the matrix B The electric signal to be supplied to the N parent device power transmission units is determined so as to be proportional to the component of the eigenvalue vector with respect to the eigenvalue.
The current distribution determination unit 13 determines an electric signal to be supplied to the plurality of parent devices 2-n as follows, for example.
When Z ₀ is an impedance matrix when there is no slave unit 3-n and Z is an impedance matrix when there is a slave unit 3-n, the transmission loss Loss is expressed by the following equation (24), and the transmission power Power is It is expressed as the following equation (25).

In the equations (24) and (25), I is a matrix having currents I ₁ ... I _N as elements as in the following equation (26). Further, “˜ (tilde)” added above I represents a transposed matrix, and “* (asterisk)” added to the upper right of I represents a complex conjugate.

  When there is the slave unit 3-n, the current distribution determination unit 13 determines the current I vector (current pattern) so as to maximize the transmission power Power when the transmission loss Loss is constant. For example, the current distribution determination unit 13 drives the coil 23-n of the parent device 2-n using the current I vector that maximizes the value obtained by dividing the transmission power Power by the transmission loss Loss.

  In the wireless power supply system described above, an example in which a constant loss condition is imposed when the coil between the parent devices 2-n is the same as the condition of the current vector that maximizes the energy P in Equation (10). However, it is not limited to this. The coils between the parent devices 2-n may be different.

Next, the case where the coils between the parent devices 2-n are different will be described.
First, the impedance matrix of the absence handset 3-n and Z _0. Incidentally, the real part Re _{(Z 0)} of the _{Z 0} is the Hermitian matrix. For this reason, the eigenvalues ρ ₁ ... Ρ _N of Re (Z ₀ ) are real numbers and take values of 0 or more. In many cases, ρ _n = 0 represents resistance 0, so ρ _n is effectively greater than 0. Therefore, Re (Z ₀ ) can be regarded as regular. Z eigenvalues ρ ₁ ··· ρ _N (provided that ρ ₁ ··· ρ _N is 0 or more values) of the real part of ₀ Re _{(Z 0)} expressed as, following equation eigenvalues vectors normalized ( 27). N is the number of base units 2-n. The matrix J is an N × N unitary matrix.

Re (Z ₀ ) is represented by the following formula (28) using the formula (10).

However, in formula (28), √ρ is the following formula (29). In Expressions (27) to (28), the impedance matrix Z ₀ is stored in advance in the storage unit 16 as a table. The current distribution determination unit 13 calculates the eigenvalue of Re (Z ₀ ) and the normalized eigenvalue vector using the impedance matrix Z ₀ stored in the storage unit 16.

  Next, let Z be the impedance matrix when the slave unit 3-n is present. This impedance matrix Z is a value that varies depending on the arrangement or number of the slave units 3-n. Therefore, the current distribution determining unit 13 calculates the impedance matrix Z using the measured current value and voltage value. Here, the energy T is expressed by the following equation (30), and the eigenvector a for the maximum eigenvalue of the energy T is expressed by the following equation (31).

In Expression (31), I is a column vector of the current flowing through the parent device 2-n when there is the child device 3-n.
Here, when the transmission loss Loss can be approximately expressed by the following equation (32), the transmission power Power expressed by the following equation (33) is maximized when the transmission loss Loss is a constant value. To maximize the transmission power Power of the following equation (35) expressed by using the eigenvector a and the energy T under a certain condition, the transmission loss of the following equation (34) expressed by using the eigenvector a. Corresponding to

  The current distribution determination unit 13 calculates energy T using the equation (30), and calculates an eigenvalue of this energy T. Then, the current distribution determination unit 13 extracts the maximum eigenvalue from the eigenvalues, and calculates an eigenvector a for the extracted maximum eigenvalue. The current distribution determination unit 13 calculates the current component matrix I by substituting the calculated eigenvector a into the following equation (36) in which the equation (31) is represented by I.

  Even when the coils between the parent devices 2-n are different, by applying the current component matrix I calculated in this way to the parent device 2-n, The transmission power Power per energy dissipated by the 2-n coil can be maximized.

As described above, according to the present invention, N (N is an integer of 2 or more) parent device power transmission units (parent device 2-n) and at least one child device power reception unit (child device 3-m). ) And a distribution determination unit (current distribution determination unit 13) for determining an electric signal to be supplied to the N parent power transmission units, the electric signal is a current or voltage, or a linear combination thereof. And the distribution determining unit uses a matrix A (matrix that forms a quadratic form) as an N-row × 1-column N-dimensional vector X having an electrical signal supplied to each parent device power transmission unit as a component. ) Is a regular Hermitian matrix of N rows × N columns, the scalar of equation (1) is positive, and the quadratic matrix of the electrical signal when the slave unit power receiver functions represents the dissipation of energy and its coefficient Is a matrix B which is an N-row × N-column Hermitian component, − Represents energy consumption, and when the matrix A is expressed as in Equation (3), the linearity of the eigenvector Y with respect to the non-zero eigenvalues of the matrix D (energy T (Equation 42)) expressed in Equation (4) An electric signal is determined so as to be proportional to a component of a vector C ⁻¹ Y obtained by multiplying the combination by a matrix C ⁻¹ (√ρ ⁻¹ ) from the left.
The correspondence between each matrix and each vector here and each matrix and each vector described above is as follows. That is, the vector X is a current I vector used when the current distribution determining unit 13 drives the coil 23-n of the parent device 2-n. The matrix A is a Hermitian matrix that is a real part Re (Z ₀ ) of the impedance matrix Z ₀ , where Z ₀ is an impedance matrix when there is no child device 3-n. The matrix B is an impedance matrix Z when the slave unit 3-n is present. The matrix C is the right side (√ρ) ⁻¹ of the expression (30) representing the matrix D.
The electric signal (current I vector) that flows to the parent machine when there is a child machine is the inverse matrix C ^{− of the} matrix C from the left to the matrix Y as shown in the equation (36) using the eigenvector Y (eigenvector a). ^It is expressed as C ⁻¹ Y multiplied by ¹ .

Here, when the elements of the matrix X are x _n (n = 1,..., N) and the elements of the matrix A are a _ij (a _ij = a _ji ^* ), the expression (1) is expressed by the following expression (37). It is expressed as

Further, assuming that the elements of the matrix B are b _ij (b _ij = b _ji ^* ), the expression (2) is expressed as the following expression (38).

  In this case, the matrix A is E (unit matrix). The matrix C is equal to the complex conjugate of the transposed matrix of the matrix C and equal to the unit matrix E. The matrix D is equal to the product of the unit matrix E from the left and right of Re (Z), that is, equal to Re (Z). Since Y is the eigenvector of Re (Z), the vector CY is equal to the vector EY, that is, equal to the eigenvector Y.

When the coil 23-n between the parent devices 2-n is the same, the matrix A and the matrix B described above are each a unit matrix. The matrix A is the real part Re (Z ₀ ) of the impedance matrix Z ₀ when there is no child device. The matrix A is the real part of the inductance matrix of the antenna based on the coil 23-n. Furthermore, the matrix A is the sum of the energy of the field where Expression (37) is stored in the space of a specific area.

In the above description, the method for determining the maximum amount of energy per loss has been described. However, this may be a quadratic form (reference matrix) in which positive values are determined (all eigenvalues are positive), even if they are not defined by loss. For example, instead of the above Re (Z ₀ ) (reference matrix), a value obtained by multiplying the mutual inductance matrix (reference matrix) between the parent devices 2-n expressed by the following equation (39) by 1/2 The case where is introduced will be described.

  The energy E shown in the following formula (40) represents the energy of the magnetic field induced by the parent device 2-n stored in the entire space.

For this reason, rewriting to (1/2) L of the equation (39) instead of Re (Z ₀ ) is when the energy stored in the magnetic field induced by the parent device 2-n stored in the entire space is made constant. The maximum transmission power problem is solved.
Further, when the magnetic field energy E ′ stored in a specific space (but not the entire space) is expressed by the following equation (41), the maximum transmission power problem when the magnetic field energy stored in the specific space is made constant is expressed. It will be solved.
This energy E ′ is the energy of the magnetic field induced only by the parent device 2-n, where L is an inductance matrix when there is no child device. The energy E ′ is the energy of the magnetic field induced by the parent device 2-n and the child device 3-m, where L is an inductance matrix when the child device is present.

  However, in Formula (41), L 'is following Formula (42).

(Wireless power supply system 104)
Hereinafter, the wireless power supply system 104 will be described. In the wireless power supply system 104, one high frequency power source is shared by the N parent devices as in the wireless power supply system 103. In the wireless power feeding system 104, an example in which the current control unit includes a resonance circuit will be described.

  FIG. 21 is a schematic block diagram illustrating a configuration of the parent device 2c-n and the child device 3-m in the wireless power feeding system 104. Since the configuration other than the parent device 2 c-n in the wireless power feeding system 104 is the same as that of the wireless power feeding system 103, description thereof is omitted.

As shown in FIG. 21, N master units 2c-1 to 2c-N (each also referred to as a master unit 2c-n) include a current receiving unit 21b-n, an ammeter 24-n, and a voltmeter 25-n. , A current direction switching unit 27-n, and a power transmission unit 28c-n. The power transmission unit 28c-n includes a current control unit (control unit) 26c-n and a coil 23-n. In the wireless power feeding system 103, one end of the current control unit 26b-n is connected to one end of the current receiving unit 21b-n via the ammeter 24-1, and the other end is connected to one end of the voltmeter 25-n and the coil 23-. n is connected to one end (see FIG. 13A). On the other hand, in the wireless power feeding system 104, one end of the current control unit 26c-n is directly connected to one end of the current receiving unit 21b-n, and the other end is one end of the voltmeter 25-n via the ammeter 24-1. And one end of the coil 23-n. In FIG. 21, the signal line shows only the connection between the parent device power transmission control unit 1b and the parent device 2c-1, but the signal line is the same for the parent device power transmission control unit 1b and the other parent device 2c-n. Connected and synchronized. The ammeter 24-1 is a meter that measures a complex current, and can measure the current amplitude and phase at the same time. The voltmeter 25-1 is a meter that measures a complex voltage, and can measure the voltage amplitude and phase at the same time. The current receiving unit 21b-n may be a connector that receives the current input from the parent device power transmission control unit 1b.
The current control unit 26c-n controls the current flowing through the coil 23-n by limiting the current input from the current receiving unit 21b-n based on the selector switching signal generated by the parent device power transmission control unit 1b. To do.
The current direction switching unit 27-n switches the direction of the current flowing through the coil 23-n based on the current direction switching signal generated by the parent device power transmission control unit 1b.

FIG. 22 is a block diagram illustrating a configuration of the current control unit 26c-n in the wireless power supply system 104. The current control unit 26c-n is configured to include B (B is a positive integer) capacitors Ca0 to Ca (B-1) and B selectors (switching units) Sa0 to Sa (B-1). ing.
Each of the selectors Sa0 to Sa (B-1) has two input terminals (first port, second port) a (a0, a1,..., A (B-1)) and b (b0, b1,. , B (B-1)) one output terminal (third port) c (c0, c1,..., C (B-1)), and a port to be switched so that one of the input terminals is connected to the output terminal. It has a changeover switch. In the selectors Sa0 to Sa (B-1), one input terminal a or b is connected to the output terminal in accordance with the selector switching signal generated by the current amplitude control unit 15b of the parent power transmission control unit 1b. In the selector Sa0, one input terminal a0 is connected to one end of the current receiving unit 21b-n, the other input terminal b0 is connected to the other end of the current receiving unit 21b-n and grounded, and the output terminal c0 is the capacitor Ca0. It is connected to one end. Similarly, in the selector Sak (k is an integer from 1 to B-1), one input terminal ak is connected to one end of the current receiving unit 21b-n, and the other input terminal bk is the current receiving unit 21b-n. The output terminal ck is connected to one end of the coil Cak. The selectors Sa0 to Sa (B-1) are, for example, relays.
The other ends of the capacitors Ca0 to Ca (B-1) are connected to each other, and this connection point is connected to the ammeter 24-n.

  Here, the selector and the capacitor in the parent device 2-n when the selectors Sa0 to Sa (B-1) are switched according to the selector switching signal will be described. When the selectors Sa0 to Sa (B-1) are switched, one ends of the capacitors Ca0 to Ca (B-1) are connected to the current receiving unit 21b-n or grounded. For this reason, the selectors Sa0 to Sa (B-1) and the capacitors Ca0 to Ca (B-1) include a variable capacitor connected in series to the coil Ln connected via the ammeter 24-n, and the coil Ln. Can be represented by an equivalent circuit of a variable capacitor connected in parallel.

FIG. 23 is an equivalent circuit diagram of parent device 2c-n in wireless power feeding system 104. N master units 2c-1 ′ to 2c-N ′ (respectively also referred to as master units 2c-n ′) each having a resonance circuit include a variable capacitor Ca ₁ n, a variable capacitor Ca ₂ n, a coil Ln, and a current direction. The switching unit 27-n is included.
The current direction switching unit 27-n includes selectors Sb ₁ n and Sb ₂ n. The selectors Sb ₁ n and Sb ₂ n are switched in conjunction with the direction of the current flowing through the coil 23-n by the current direction switching unit 27-n based on the current direction switching signal generated by the parent power transmission control unit 1b. Switch. The selectors Sb ₁ n and Sb ₂ n are relays, for example.
The variable capacitor Ca ₁ n is represented by an equivalent circuit in which one end is connected to one end of the high-frequency power source 4b ′ (including current receiving unit) and the other end is connected to one end of the variable capacitor Ca ₂ n and one end of the coil Ln. be able to.
As shown in FIG. 23, the resonance frequency ω ₁ of the parent device 2c-1 ′ is 1 / (√ (L1 (Ca ₁ 1 + Ca ₂ 1))). Similarly, the resonance frequency ω ₂ of the parent device 2c-2 ′ is 1 / (√ (L2 (Ca ₁ 2 + Ca ₂ 2))), and the resonance frequency ω _N of the parent device 2c-N ′ is 1 / (√ ( LN (Ca ₁ N + Ca ₂ N))), and it is desirable that the resonance frequencies ω _n be equal. The mutual inductance between the parent devices 2c-n is preferably smaller than the mutual inductance between the parent device 2c-n and the child device 3-m.
That is, in FIG. 22, the total capacity of the capacitors Ca0 to Ca (B-1) included in the current control unit 26c-n of each parent device 2c-n is equal to each other, and the inductances of the coils L0 to L (B-1) are mutually equal. Equally, when the impedance of the output part of the current receiving part 21b-n connected to one end of the capacitors Ca0 to Ca (B-1) can be regarded as substantially zero, each parent even if the selectors Sa0 to Sa (B-1) are switched. The resonance frequency ω of the machine 2c-n becomes equal. The square (ω _n ² ) of the resonance frequency ω _n of each parent device 2c-n is expressed as the following equation (43). Further, the voltage V ₁ applied to each coil 23-n of each parent device 2c-n is expressed by the following equation (44) when the voltage of the high frequency power source 4b is V ₀ .

  The current distribution determining unit 13b sequentially switches the selectors Sa0 to Sa (B-1) of the parent device 2c-1. For example, only the selector Sa0 is switched to the current receiving unit 21b-n, and the other selectors Sa1 to Sa (B-1) are switched to ground. The current distribution determination unit 13b writes the complex current information based on the measurement value of the ammeter 24-n at this time in the storage unit 16. Based on the value stored in the storage unit 16, the current distribution determination unit 13b receives a current flowing through a connection point (second connection point) between the capacitors Ca0 to Ca (B-1) and the coil L (B-1). The selectors Sa1 to Sa (B-1) are switched so as to obtain a desired current. After switching the selectors Sa1 to Sa (B-1), for example, the current amplitude control unit 15b acquires the voltage applied to the coil L (B-1) using the voltmeter 25-n, and acquires the acquired current value and voltage. Based on the value, the current ratio to be supplied to the parent device 2c-n is determined as described above. The current distribution determination unit 13b outputs information indicating the determined current ratio to the current amplitude control unit 15b.

  In the case where the resonance circuit is not provided, the current may not flow easily unless the input voltage value is increased to resonate (for example, the wireless power supply system 103). However, according to the wireless power supply system 104, the resonance circuit is provided. Therefore, the effect of flowing current can be obtained without increasing the voltage value. In the wireless power feeding system 104, the resonance frequency of the parent device 2c-n can be made constant.

Further, in wireless power feeding system 104, base unit power transmission control unit 1b measures the value of current flowing through ammeter 24-1, and selects selectors Sa0 to Sa (B-1) of base unit 2c-n so that a predetermined current flows. ) Can be operated as a current source. Further, in FIG. 22, by setting the capacitance of the capacitor to C _{i + 1} = C _i × 2 (i is an integer of 0 or more), a large number of voltage values or current values can be selected with a small number of capacitors and selectors. Can do.
Further, the control may be performed using _two variable capacitors Ca ₁ n and Ca ₂ n of the equivalent circuit shown in FIG. In this case, base unit power transmission control unit 1b performs control so that the total capacity of variable capacitors Ca ₁ n and Ca ₂ n is constant.

(Wireless power supply system 105)
Hereinafter, the wireless power supply system 105 will be described. FIG. 24 is a schematic block diagram illustrating a configuration of the parent device 2d-n and the child device 3-m in the wireless power feeding system 105. Since the configuration other than the parent device 2d-n in the wireless power feeding system 105 is the same as that of the wireless power feeding system 103, description thereof is omitted. Moreover, the structure of the subunit | mobile_unit 3-m is the same as that of FIG. The current receiving unit 21b-n may be a connector that receives the current input from the parent device power transmission control unit 1b.

As shown in FIG. 24, N master units 2d-1 to 2d-N (each also referred to as a master unit 2d-n) include a current receiving unit 21b-n, an ammeter 24-n, and a voltmeter 25-n. , A current direction switching unit 27-n, and a power transmission unit 28c-n. The power transmission unit 28c-n includes a current control unit (control unit) 26c-n and a coil 23-n.
In FIG. 24, the signal line indicates only the connection between the parent device power transmission control unit 1b and the parent device 2d-1, but the signal line is similarly applied to the parent device power transmission control unit 1b and the other parent device 2d-n. Connected and synchronized. The ammeter 24-1 is a meter that measures a complex current, and can measure the current amplitude and phase at the same time. The voltmeter 25-1 is a meter that measures a complex voltage, and can measure the voltage amplitude and phase at the same time.
24, the configuration of the current control unit 26c-n is the same as that of the current control unit 26c-n (FIG. 22) of the wireless power supply system 104. The configuration of the current direction switching unit 27-n is the same as that of the current direction switching unit 27-n (FIG. 23) of the wireless power feeding system 104.

In the wireless power supply system 104 (FIG. 21), when the measurement and the switch switching are repeated as described in the wireless power supply system 102, the following procedure is performed.
First, the parent device power transmission control unit 1b measures the current flowing through the coil 23-n by the ammeter 24-n. Next, base unit power transmission control unit 1b switches selectors Sa0 to Sa (B-1) (see FIG. 22) of current control unit 26c-n based on the measured current so that the current value becomes a desired value. To. Next, the parent device power transmission control unit 1 b measures the in-phase voltage applied to the coil 23-n at that time, and uses the iterative method described in the wireless power feeding system 102.
However, in order to control the current value to a desired value, it is necessary to quickly switch the selector of the current control unit 26c-n, so that it is somewhat difficult to realize with a mechanical relay.

For this reason, a calculation method applicable to the wireless power feeding system 105 even when the selector is a mechanical relay will be described.
The main procedure is as follows.
Procedure (1) The base unit power transmission control unit 1b is configured so that all the output terminals c0 to c (B-1) of the selectors Sa0 to Sa (B-1) in the current control unit 26c-n are connected to the power supply side. Control.
Step (2) Next, the parent power transmission control unit 1b causes the next current flowing through the connection points of the capacitors Ca0 to Ca (B-1) of the current control unit 26c-n to be expressed by the following equation (45). V _{(k + 1)} is determined. Note that k is an integer of 0 or more.

Step (3) Repeat step (2).

Next, the convergence state when (3) is repeated will be described.
In FIG. 24, when both the parent device 2d-n and the child device 3-m are matched and the magnetic field coupling between the parent device 2d-n and the child device 3-m is small, the following equation (58) is obtained. It can be expressed using an (N × M) × (N × M) matrix.

In Expression (46), I _P is an (N × 1) matrix whose component is the current flowing in the coil 23-n of the parent device 2d-n, and I _C is the coil 31-m of the child device 3-m. This is an (M × 1) matrix having the flowing current as a component, and the current flowing from the load side of the child device 3-m to the coil 23-m is positive. _VP is a voltage applied to the coil 23-n of the parent device 2d-n. R is a load matrix of the child device 3-m. Moreover, _LPC is a mutual inductance between the coil 23-n of each parent device 2d-n viewed from the coil 31-m of the child device 3-m. L _CP is a mutual inductance between the coil 31-m of the child device 3-m viewed from the coil 23-n of each parent device 2d-n. γ is a real diagonal matrix having the ohmic loss of the coil 23-n as a diagonal component. _Furthermore, the transposed matrix of _{L PC is} equal to _{L PC.} In Expression (46), the fact that the upper left N × M matrix is a real diagonal matrix can ignore the coupling of the coil 23-n between the parent devices 2d-n, and the capacitor Ca0 of the current control unit 26c-n. ~ Ca (B-1) is aligned with the coil 23-n. Further, the resistance of the coil 31-m of the child device 3-m is omitted here for the sake of simplicity.

From equation (46), when determining the relationship between _{V P} and _{I P} to clear the _{I C,} the following equation (47).

Here, Solving for _{I P,} the following equation (48).

  In the equation (48), the admittance Y is the following equation (49).

In the equation (49), since the admittance Y is a real diagonal matrix, it can be written as Re (Y). Therefore, as shown in equation (47), _{V P} can be expressed by the product of and _{I p} Re (Y).
Since Re (Y) is a real number as in the equation (49), if the voltage _VP is a real number, the current I _P is also a real number. For this reason, α _(k) and β in Equation (45) are also real numbers. Here, if I _P = I _(k) , V _{(k + 1)} is expressed as in the following equation (50).

From the equation (50), V _(k) is expressed as the following equation (51).

  In equation (51), if the eigenvalue of Re (Y) is λn, λn is a real number and is equal to or greater than 0. Therefore, the eigenvalue of (1-βRe (Y)) is expressed by the following equation (52).

FIG. 25 is a diagram for explaining the relationship between the eigenvalue λ of Re (Y) and | 1-βλ _n |. In FIG. 25, the horizontal axis is a fixed value λ, and the vertical axis is | 1-βλ _n |.
As shown in FIG. 25, the following expression (65) converges to the eigenvector having the maximum value. As a result, if determined β as equation (53) is maximized with a minimum eigenvalue of admittance Y (P11), a vector for converging converge to the maximum eigenvalue of the impedance Z _A of the coil 23-n.

  As described above, according to the wireless power feeding system 105, it is not necessary to frequently switch the selector in order to set the current value to a desired value. Therefore, the wireless power feeding system 105 can be applied even if the selector is a mechanical relay.

In the wireless power feeding system 103 described above, the coil 23-n of the parent device 2b-n and the capacitors C1 to CB in the current control unit 26b-n do not satisfy the resonance condition. Therefore, in the wireless power feeding system 103, energy cannot be efficiently transmitted to the slave unit unless the output voltage of the high frequency power source 4b is increased.
Therefore, in the embodiment described below, a method for increasing the energy transmission efficiency even when the output voltage of the high-frequency power supply 4b is low will be described.

(First embodiment)
Resonance can be obtained by connecting a capacitor in series to the coil 23-n of the parent device 2b-n, but this is limited to the case where the coil of the parent device 2b-n is one. Impedance matrix when there are N (N ≧ 2) coils (power transmission elements for transmitting power) of the parent device 2-n and there are no child devices as in the wireless power feeding system 103 (FIG. 13). Z ₀ (here, impedance matrix Zpp) is expressed by the following equation (54).

Here, L _ij (j ≠ i) is a mutual inductance between the coil 23-i of the parent device 2-i and the coil 23-j of the parent device 2-j, and ω is a high frequency output from the high frequency power source 4b. Represents the angular frequency of. However, j in the matrix of Formula (54) is an imaginary unit.
As shown in the equation (54), the impedance matrix Zpp has a non-diagonal impedance in the impedance matrix Zpp due to the mutual inductance L _ij (j ≠ i) between the coils of the parent device 2-i and the parent device 2-j. It remains in the term (component other than the diagonal term where i = j). When impedance remains in the asymmetric term in this way, it is difficult to transmit energy to a slave unit that is far from the master unit, that is, a slave unit coil (a power receiving element that receives power) that has a small magnetic coupling with the master unit coil. It becomes.

Thus, in the wireless power feeding system 106 of the present embodiment, an asymmetric term of the impedance matrix Zpp is provided by providing a compensation transformer unit 29T (compensation circuit) between the coil of the parent device 2-i and the coil of the parent device 2-j. (Non-diagonal component) is set to about 0, and impedance matrix Zpp is set to about 0. Here, substantially 0 means sufficiently smaller than the mutual impedance or mutual admittance between the parent device 2-i when the compensation circuit is not inserted, and further, the mutual relationship between the parent device 2-i and the child device 3-i. It is sufficiently smaller than impedance or mutual admittance.
Making the asymmetric term (non-diagonal component) of the impedance matrix Zpp substantially zero means that the absolute value of the mutual impedance or mutual admittance between the terminals of the parent power transmission unit is made substantially zero.
The wireless power feeding system 106 has the same configuration as that of the wireless power feeding system 103 shown in FIG. 13 except for the configuration including the compensation transformer unit 29T. Therefore, in the following, the compensation transformer unit will be described with reference to FIG. The configuration will be described in detail.

FIG. 26 is a diagram for describing the configuration of the compensation transformer unit 29T in the wireless power feeding system 106.
In FIG. 26, the coils 23-1 to 23-3 are shown among the coils 23-1 to 23-N of the wireless power feeding system 103 shown in FIG. Note that the base unit coil of the wireless power feeding system 106 is the same as the base unit coil of the wireless power feeding system 103, and hereinafter, a portion including the coils 23-1 to 23-N is referred to as an antenna unit 23G. In addition, the self-inductance of each coil corresponds to the coil 23-1, the coil 23-2, the coil 23-3,..., The coil 23-N, respectively, L ₁₁ , L ₂₂ , L ₃₃ ,.・_LNN .

Further, in FIG. 26, in the current control unit 26b-n (FIG. 14A) of the wireless power feeding system 103, capacitors when the impedance Zpp written to the storage unit 16 is substantially 0 are indicated by capacitors Cd1 to Cd3. Yes.
Similar to the wireless power supply system 103, the wireless power supply system 106 includes a current control unit 26b-n, and includes capacitors Cd1 to CdN. Therefore, in the following, the part composed of the capacitors Cd1 to CdN is referred to as a resonance capacitor unit 26G. Further, the respective capacitance values are C ₁ , C ₂ , C ₃ ,..., C _N corresponding to the capacitors Cd1, Cd2, Cd3,.

  For example, in FIG. 14B, when the current amplitude control unit 15b makes the terminal S1 and the coil S23-n conductive, the capacitor Cdi (i = 1 to N) is controlled by the current control shown in FIG. Among the capacitors C1 to CB of the unit 26b-n, the capacitor C1. When the wireless power feeding system 106 is operating, that is, when calculating the impedance matrix Z when there is a slave unit, one of the capacitors C1 to CB of the current control unit 26b-n depending on the number and position of the slave units. Is selected. Therefore, the capacitance values of the capacitors C2 to CB other than the capacitor C1 in each parent device are the impedance matrix when there is a child device according to the set value of the capacitance value of the capacitor C1, the planned number of child devices, and the planned position. Z is set to be substantially zero. Here, setting the asymmetric term (non-diagonal component) of the impedance matrix Zpp to be substantially zero means that the absolute value of the mutual impedance or mutual admittance between the parent device power transmitters is substantially zero.

Further, FIG. 26 shows transformers (compensation transformers T12, T13, T23) provided corresponding to the coils 23-1 to 23-3. The wireless power feeding system 106 is different from the wireless power feeding system 103 in that a compensation transformer is inserted between a set of two coils among the coils 23-1 to 23-N. A portion including these compensation transformers is referred to as a compensation transformer section 29T. The number of compensation transformers is N × (N−1) / 2 at the maximum, similar to the number of sets of coils. Here, when the maximum number of compensation transformers are provided, the mutual inductances of the compensation transformers are represented as transformer T12, transformer T13,..., Transformer T1N, transformer T23,..., Transformer T (N−1) N. in response _{to, M} 12, _{M 13, respectively, ···, M 1N, M 23} , ···, and _{M (N-1) N.}

Here, the mutual inductances of the transformers Tij constituting the compensation transformer unit 29T are set to be M _ij = −L _ij .
In addition, although it is desirable to provide a transformer for all the pairs of N coils 23-1 to 23-N, that is, all N × (N−1) / 2 pairs, From the relationship, a transformer may be provided only for a pair whose self-inductance L _ij is so large that transmission efficiency cannot be ignored.

  Further, the configuration of each compensation transformer constituting the compensation transformer unit 29T may be a core restaurant. From the viewpoint of reducing the size of the transformer, the leakage magnetic field from a certain compensation transformer may cause the antenna unit 23G and other compensation transformers. From the viewpoint of preventing coupling with a transformer with a core. In addition, when a transformer with a core is used as the compensation transformer, energy loss in the transformer core causes a reduction in energy transmission efficiency in the wireless power feeding system 106. Therefore, an air gap may be provided in the transformer core.

  The impedance matrix Zpp when a compensation transformer is provided between the coils of the parent device 2-n is expressed by the following equation (55).

Here, j in the formula (55) is an imaginary unit. In the impedance matrix Zpp of the equation (55), the impedance matrices of the resonant capacitor unit 26G (first term), the compensation transformer unit 29T (second term), and the antenna unit 23G (third term) are represented by first to third. It is divided into sections. Among these, the sum of the second and third terms, that is, the matrix indicating the compensation transformer unit 29T and the matrix indicating the antenna unit 23G is referred to as an impedance matrix Zpp ′. The off-diagonal term of the impedance matrix Zpp ′ is 0 because the mutual inductance M _ij of the compensation transformer is set to be M _ij = −L _ij . That is, the impedance matrix Zpp ′ can be made a diagonal matrix by using the compensation transformer. Therefore, by setting the capacitance value C _i (i = 1 to N) of each capacitor in the resonance capacitor unit 26G so as to satisfy the resonance condition of C _i × (M _ii + L _ii ) = 1 / (ω ² ). The impedance matrix Zpp can be made substantially zero.

  As described above, in the wireless power feeding system 106, the current direction switching unit 27-1 to the current switching unit 27-N and the coils 23-1 to 23- in the wireless power feeding system 103 are compared with the wireless power feeding system 103 illustrated in FIG. N is provided with a compensation transformer 29T. The procedure of this design method is shown below.

(Procedure 1) The mutual inductance of the transformer Tij is determined so that M _ij = −L _ij (i ≠ j). In Equation (55), M _ij = M _ji and L _ij = L _ji are set. Thereby, the non-diagonal component of the impedance matrix Z ₀ can be made substantially zero.

(Procedure 2) In equation (55), the mutual inductance M _ii of the compensation transformer is the sum of the self-inductances of the compensation transformer connected to the i-th channel. That is, M _ii is set to a value represented by the following equation (56) on the assumption that there is no magnetic field leakage in each transformer.

(Step 3) C Determine the _{i 'i × (M ii +} L ii) = 1 / (ω 2) C so as to satisfy the' capacitor Cdi in the current control unit 26b-i (n = 1~N) ( 14) is set to the capacitance value of C ′ _i . This makes it possible to substantially zero diagonal elements of the impedance matrix Z _0.

As a result, in the wireless power feeding system 106, the impedance matrix Z ₀ (matrix previously stored as a table in the storage unit 16) used by the current distribution determination unit 13 for the calculation can be obtained by providing an asymmetric term (non- (Diagonal component) becomes substantially zero, and further, by satisfying the resonance condition, the diagonal component becomes almost zero, so it becomes substantially zero. The current distribution determining unit 13 calculates the eigenvalue of Re (Z ₀ ) and the normalized eigenvalue vector using the impedance matrix Z ₀ stored in the storage unit 16.
Moreover, the current distribution determination unit 13 calculates an impedance matrix Z that is a value that varies depending on the arrangement or number of the child devices 3-n, using the measured current value and voltage value. Then, the current distribution determining unit 13 calculates the matrix I by the equation (31) based on the impedance matrix Z ₀ and the impedance matrix Z, and the parent device 2 corresponding to the current indicated by each component of the calculated matrix I, respectively. Apply to -n.
As a result, in the wireless power feeding system 106, in addition to maximizing the transmission power Power, energy transmission efficiency can be increased even when the output voltage of the high-frequency power supply 4b is low, and magnetic coupling with the parent device can be achieved. It becomes possible to transmit energy to a small cordless handset coil.

(Second Embodiment)
A wireless power feeding system (wireless power feeding) in the case where the compensation transformer unit 29T shown in the wireless power feeding system 106 of the first embodiment is replaced with a compensation capacitor unit 29C (compensation circuit) configured by a capacitor (hereinafter referred to as a compensation capacitor). System 107) will be described. The wireless power feeding system 107 has the same configuration as the wireless power feeding system 106 except for the configuration of the compensation transformer unit 29T serving as the compensation capacitor unit 29C. Therefore, hereinafter, the configuration of the compensation capacitor unit 29C will be described in detail while appropriately comparing with the configuration of the wireless power feeding system 106.
FIG. 27 is a diagram for describing the configuration of the compensation capacitor unit 29 </ b> C in the wireless power feeding system 107.
Similarly to the wireless power supply system 106, the wireless power supply system 107 includes coils 23-1 to 23-N (in FIG. 27, coils 23-1 to 23-3 are shown). In the following description, the portion formed by the coils of these master units is referred to as an antenna unit 23G as in FIG. Also, the self-inductance of each coil, as well as the wireless power feeding system 106, a coil 23-1, a coil 23-2, a coil 23-3, ..., in correspondence with the coil 23-N, respectively _{L 11,} Let L ₂₂ , L ₃₃ ,..., L _NN .

The wireless power feeding system 107 includes a current control unit 26b-n as with the wireless power feeding system 106, and includes capacitors Cd1 to CdN (in FIG. 27, capacitors Cd1 to Cd3 which are a part thereof). Therefore, in the following, a portion including the capacitors Cd1 to CdN is referred to as a resonance capacitor unit 26G as in FIG. Similar to the wireless power supply system 106, each of the capacitance value capacitors Cd1, Cd2, Cd3, ..., in response to _{CdN, C 1, C 2,} C 3 , respectively, ..., and _{C N} .

  For example, in FIG. 14B, when the current amplitude control unit 15b makes the terminal S1 and the coil S23-n conductive, the capacitor Cdn has the current shown in FIG. Among the capacitors C1 to CB of the control unit 26b-n, the capacitor C1. During operation of the wireless power feeding system, that is, when calculating the impedance matrix Z when there is a slave unit, any one of the capacitors C1 to CB of the current control unit 26b-n depends on the number and position of the slave units. Selected. Therefore, the capacitance values of the capacitors C2 to CB other than the capacitor C1 in each parent device are the impedance matrix when there is a child device according to the set value of the capacitance value of the capacitor C1, the planned number of child devices, and the planned position. Z is set to be substantially zero.

In FIG. 27, capacitors (compensation capacitors Cc12, Cc13, Cc23) provided corresponding to the coils 23-1 to 23-3 are shown. In the wireless power feeding system 107, instead of the compensation transformer unit 29T of the wireless power feeding system 106, a compensation capacitor is inserted between a set of two coils among the coils 23-1 to 23-N. A portion including these compensation capacitors is referred to as a compensation capacitor portion 29C. Note that the number of compensation capacitors is N × (N−1) / 2 at the maximum, similar to the number of sets of coils. Here, the capacitance value of the compensation capacitor when it is provided at maximum corresponds to the compensation capacitor Cc12, the compensation capacitor Cc13,..., The compensation capacitor Cc1N, the compensation capacitor Cc23,. _{and, C} 12, _{C 13 respectively, ···, C 1N, C 23} , ···, and _{C (N-1) N.}
The compensation capacitor unit 29C is provided between the current direction switching unit 27-1 to the current switching unit 27-N and the coils 23-1 to 23-N, similarly to the compensation transformer unit 29T of the wireless power feeding system 106. (See the wireless power feeding system 103 shown in FIG. 13).
The capacitance value of each compensation capacitor Ccij constituting the compensation capacitor unit 29C is calculated according to the calculation result after being calculated as follows.

A method for calculating the impedance matrix Zpp when a compensation capacitor is provided between the coils of the parent device 2-n will be described below.
In the circuit shown in FIG. 27, if the component of the admittance matrix Y _pp viewed from the antenna unit 23G side when one end of the capacitors Cd1 to CdN (ammeter 24-n side) is grounded is y ^c _ij , y ^c _ij ( i ≠ j) is expressed by the following equation (57).

In addition, when using the formula (57), C _ji = C _ij .
Further, y ^c _ii is expressed by the following equation (58).

At this time, if the following expression (59) is satisfied, the impedance matrix Z _pp becomes zero.

Here, the impedance matrix _{Z A} is the impedance matrix of the antenna unit 23G shown in FIG. 27.
Similar to the wireless power feeding system 106, the procedure of the design method for setting the impedance matrix Z _pp to 0 is shown below.
(Step 1) inverse matrix of impedance matrix _{Z A,} i.e. to calculate the right side of equation (59), calculates the left side of admittance matrix _{Y pp.}

(From step 2) component of the non-diagonal terms of the calculated admittance matrix _{Y pp} in Step 1, using equation (57), and calculates the capacitance value _{C ij} of the compensation capacitor _{Cc ij.}

(Procedure 3) From the capacitance value C _ij calculated in the procedure 2, the capacitance value C _i of the capacitor Cdi is calculated using the equation (58).
Thus, since the equation (59) is satisfied, the impedance matrix Z _pp is substantially the asymmetric section (off-diagonal elements) are approximately zero, as in the wireless power supply system 106 using the compensation transformer, the impedance matrix Zpp It can be set to zero.

In this method, when the capacitance value C _ij of the compensation capacitor Cc _ij and the capacitance value C _i of the capacitor Cdi all become positive (plus) values, the circuit shown in FIG. ), Since such a capacitor does not exist, the circuit shown in FIG. 27 cannot be realized.
For this reason, the coil winding direction of the antenna coil is changed between the adjacent coils 23-N, and the capacitance value C _ij of the compensation capacitor Cc _ij provided between the base coil having a large coupling is set to a positive value. In addition, when the capacitance value of the compensation capacitor between the parent coil having a small coupling is small, the capacitance value of the compensation capacitor is regarded as 0, and the compensation capacitor is not set.
Hereinafter, a specific method of arranging the compensation capacitor will be described with reference to FIGS. 28 and 29. FIG.

FIG. 28 is an example of a layout diagram of the master coil when a compensation capacitor is used. FIG. 29 is a diagram illustrating an example of the capacitance value C _ij of the compensation capacitor Cc _ij in the case of the example of FIG.
FIG. 28 shows an example in which 16 coils 23-1 to 23-16 are arranged side by side in the form of four solid squares on one side. In addition, in the example of FIG. 28, each coil is 3 mm between wires, the number of turns is 60 turns, and is arranged with a pitch of 0.363 m from adjacent coils. Further, in FIG. 27, the reference sign “R” or the reference sign “L” is written inside each coil. The sign “R” indicates that the direction when the current flows in the + direction is clockwise, and the sign “L” indicates that the direction when the current is passed in the + direction is counterclockwise. That is, the coils shown in FIG. 28 are set so that the directions when the current flows in the + direction are reversed between the coils adjacent vertically or horizontally.

In the case of this arrangement, the capacitance value of the compensation capacitor C _{ij is} the value shown in FIG. 29 with the unit being pF (picofarad) by the above-described calculation method in which the impedance Z _pp is substantially zero. For example, the capacitance value C _i of the capacitor Cdi is a value between 8730 pF and 9432 pF, which is a value indicated by i = j in FIG.
Further, the capacitance value of the compensation capacitor provided between adjacent coils is a value between 691 pF and 737 pF, which are all positive values. For example, the compensation current provided between the coils 23-1 to 23-3, the coil 23-5, the coil 23-7, and the coils 23-9 to 23-11 surrounding the coil 23-6 shown in FIG. The capacitance value (calculated value) of the direction capacitor when flowing is as follows. That is, the compensation capacitors Cc _{6 · 2} , Cc _{6 · 5} , Cc _{6 · 7} , Cc ₆ provided between the adjacent coil 23-2, coil 23-5, coil 23-7, and coil 23-10 at the minimum pitch. _{· 10} capacitance _{C 6 · 2, C 6 ·} 5, C 6 · 7, C 6 · 10 of, 726PF as shown in FIGS 29, 726pF, 737pF, and 737PF, a positive value. On the other hand, compensation capacitors Cc _{6 · 1} , Cc _{6 · 3} , Cc _{6 · 9} , Cc ₆ provided between the coil 23-1, the coil 23-3, the coil 23-9, and the coil 23-11 that are adjacent in the oblique direction. ₁₁ capacitance values C _{6 · 1} , C _{6 · 3} , C _{6 · 9} , C _{6 · 11} are −269 pF, −277 pF, −277 pF, −286 pF and negative values, respectively, as shown in FIG. Become. Incidentally, the remaining nearest coil nor even the second proximity at 23-4, coil 23-8, compensation capacitor _{Cc 6 · 4, Cc 6 ·} 8, Cc 6 · provided between the coil 23-12～23-16 ₁₂ to CC _{6 of-16} capacitance _{C 6 · 4, C 6 ·} 8, C 6 · 12 ~C 6 · 16 is, 83PF as shown in FIGS 29, -127pF, 88pF, 83pF, -127pF, 88pF , −43 pF. These values are smaller in absolute value than the capacitance value of the compensation capacitor provided between the coil surrounding the coil 23-6. In this way, the capacitance values between adjacent coils at the minimum pitch are all positive, and the capacitance value between coils that are more than the minimum pitch is a negative value or even if it is a positive value. The value is negligibly small compared to the capacitance value between adjacent coils at the minimum pitch. Therefore, in this embodiment, as an example, these capacitance values are regarded as 0, and no compensation capacitor is inserted where the capacitance value is regarded as 0.

As described above, in the present embodiment, the coils 23-1 to 23-9 are arranged side by side in the form of a solid square, and are adjacent vertically or horizontally in a plan view when the coil is viewed from the axial direction of the winding of the coil. The coil has a positive mutual inductance between the coils, and includes a compensation circuit including a capacitor between adjacent coils vertically or horizontally in the plan view. For this reason, since the imaginary part of the off-diagonal component of the admittance matrix Y _pp becomes positive, the compensation circuit inserted between the coils can be realized with a capacitor. In addition, among the asymmetric terms (non-diagonal components) of the impedance matrix Z ₀ (matrix previously stored as a table in the storage unit 16) used by the current distribution determination unit 13 between adjacent coils in the vertical or horizontal direction. Corresponding components can be reduced. As a result, energy transmission efficiency can be improved even when the output voltage of the high-frequency power source 4b is low.

As a result, in the wireless power feeding system 107 using the capacitor compensation unit as the compensation circuit, the impedance matrix Z ₀ (matrix stored in advance as a table in the storage unit 16) used by the current distribution determination unit 13 for the compensation circuit By providing, the asymmetric term (non-diagonal component) becomes substantially zero, and further, by satisfying the resonance condition, the diagonal component becomes almost zero, so it becomes substantially zero. The current distribution determining unit 13 calculates the eigenvalue of Re (Z ₀ ) and the normalized eigenvalue vector using the impedance matrix Z ₀ stored in the storage unit 16.
Moreover, the current distribution determination unit 13 calculates an impedance matrix Z that is a value that varies depending on the arrangement or number of the child devices 3-n, using the measured current value and voltage value. Then, the current distribution determining unit 13 calculates the matrix I by the equation (31) based on the impedance matrix Z ₀ and the impedance matrix Z, and the parent device 2 corresponding to the current indicated by each component of the calculated matrix I, respectively. Apply to -n.
As a result, in the wireless power feeding system 107, in addition to maximizing the transmission power Power, energy transmission efficiency can be increased even when the output voltage of the high frequency power supply 4b is low, and magnetic field coupling with the parent device coil is possible. It becomes possible to transmit energy to a small handset coil.

Note that a compensation circuit constituted by a capacitor is provided between the coils of the coil set having a positive mutual inductance, and the distance between the coils in the coil set is in a predetermined range. May be. Here, the coil set in which the mutual inductance of the coil is positive is, for example, in the plan view of the coil viewed from the axial direction of the coil, in which the winding method of the coil is the same and the direction of the current is reversed. A set of coils. In addition, the coil set in which the mutual inductance of the coils is positive is, for example, a set of coils arranged in parallel on the same axis, in which the coils are wound in the same way and the direction of current is reversed. A set of coils. Thereby, the asymmetric term (off-diagonal component) of the impedance matrix Z ₀ (matrix previously stored as a table in the storage unit 16) used for the calculation by the current distribution determination unit 13 can be reduced. As a result, energy transmission efficiency can be improved even when the output voltage of the high-frequency power source 4b is low.

Further, the present invention is not limited to this, and a compensation circuit including a transformer or a capacitor may be provided between the power transmission elements in which the distance between the power transmission elements (for example, the coil or the transformer) is in a predetermined range. Good. Thereby, the asymmetric term (off-diagonal component) of the impedance matrix Z ₀ (matrix previously stored as a table in the storage unit 16) used for the calculation by the current distribution determination unit 13 can be reduced. As a result, energy transmission efficiency can be improved even when the output voltage of the high-frequency power source 4b is low.

In addition, the power provided to each parent device power transmission unit in at least one set of two parent device power transmission units among the N parent device power transmission units is not limited thereto. You may comprise a transformer or a capacitor | condenser between the power transmission elements to transmit. Thereby, the asymmetric term (off-diagonal component) of the impedance matrix Z ₀ (matrix previously stored as a table in the storage unit 16) used for the calculation by the current distribution determination unit 13 can be reduced. As a result, energy transmission efficiency can be improved even when the output voltage of the high-frequency power source 4b is low.

(Third embodiment)
In the third embodiment, a wireless power feeding system (referred to as a wireless power feeding system 108) when the compensation transformer unit 29T shown in the wireless power feeding system 106 is applied to the wireless power feeding system 104 will be described.
FIG. 30 is a schematic block diagram illustrating the configuration of the parent device and the child device in the wireless power feeding system 108.
The wireless power feeding system 108 is different from the wireless power feeding system 104 in that a compensation transformer unit 29T is provided, and the other configuration is the same as that of the wireless power feeding system 104, and thus the description thereof is omitted.
In the description of the wireless power feeding system 108, the capacitance values of the capacitors Ca0 to Ca (B-1) in the current control unit 26c-n (i = 1 to N) in FIG. 22 are C _{i1 to} C _iB . In the wireless power feeding system 108, the value of B is preferably 3 to about 10, that is, the number of capacitors in the current control unit 26c-n is preferably about 3 to 8.

The capacitance value C _ij of the capacitors Ca0 to Ca (B-1) in the current control unit 26c-n is calculated by the procedure 1 to the procedure 3 for the wireless power feeding system 106.
That is, the capacitance value C ′ _i calculated in the procedure 3 is distributed to the capacitance value C _ij so as to satisfy the following equation (60).

Incidentally, when distribution to the capacitance value _{C ij,} according to the following equation (61), each capacitance value _{C ij} is set.

As a result, in the wireless power feeding system 108, the impedance matrix Z ₀ (matrix previously stored as a table in the storage unit 16) used by the current distribution determination unit 13 for the calculation can be obtained by providing an asymmetric term (non- (Diagonal component) becomes substantially zero, and further, by satisfying the resonance condition, the diagonal component becomes almost zero, so it becomes substantially zero. The current distribution determining unit 13 calculates the eigenvalue of Re (Z ₀ ) and the normalized eigenvalue vector using the impedance matrix Z ₀ stored in the storage unit 16.
Moreover, the current distribution determination unit 13 calculates an impedance matrix Z that is a value that varies depending on the arrangement or number of the child devices 3-n, using the measured current value and voltage value. Then, the current distribution determining unit 13 calculates the matrix I by the equation (31) based on the impedance matrix Z ₀ and the impedance matrix Z, and the parent device 2 corresponding to the current indicated by each component of the calculated matrix I, respectively. Apply to -n.
As a result, in the wireless power feeding system 108, in addition to maximizing the transmission power Power, the energy transmission efficiency can be increased even when the output voltage of the high frequency power source 4b is low, and the magnetic field coupling with the parent device coil is possible. It becomes possible to transmit energy to a small handset coil.

  When calculating the impedance matrix Z, the impedance matrix (corresponding to the second and third terms of the equation (55)) viewed from the compensation transformer unit 29T when viewed from the slave unit is a diagonal matrix. is important. When there is a child device, and when the coupling between the child devices can be ignored, the non-diagonal component of this matrix does not appear due to the coupling of the child device according to Equation (9).

Next, improvement in transmission efficiency by the wireless power feeding system 108 will be described with reference to the drawings.
FIG. 31 is a layout diagram of the master coil of the wireless power feeding system 108. FIG. 32 is a diagram showing the transmission efficiency when the slave coil moves along the straight line LC on the master coil. FIG. 33 is a diagram showing the transmission efficiency when the slave coil moves along the straight line LP on the master coil.
FIG. 31 shows an example in which nine coils 23-1 to 23-9 are arranged side by side in the form of three solid squares on one side. In FIG. 31, each coil has a wire spacing of 3 mm and a winding number of 60 turns, and is arranged with a pitch of 0.450 m from adjacent coils. Moreover, Fig.31 (a) has shown the case where the center of a subunit | mobile_unit coil moves along the straight line LC which passes along the center of coil 23-6 from the center of coil 23-5, FIG.31 (b) The case where the center of the child device coil moves along the straight line LP shifted in parallel to the + direction of the Y axis by the half pitch of the arrangement of the parent device coil is shown. Here, it is assumed that there is one slave coil (coil 33-M). The cordless handset coil is assumed to have, for example, a line spacing of 18 mm and a winding number of 10 turns.

  FIG. 32 shows the transmission efficiency when the center of the handset coil moves as shown in FIG. 31A, that is, when the straight line LC in FIG. 31A moves. In each of FIGS. 32A to 32D, the vertical axis represents transmission efficiency, and the horizontal axis represents the x coordinate in FIG. 32 (a) to 32 (d) show the distance between the parent device coil and the child device coil (the distance between the z = 0 surface where the parent device exists and the z = Zc surface where the child device moves). ) The transmission efficiency when Zc is 0.3 m, 0.5 m, 0.7 m, and 0.9 m is shown.

32A to 32D, the relationship between the curves L0, L1, L2, LA and the arrangement of the compensation transformer is as follows.
That is, the straight line L0 indicates the transmission efficiency when there is no compensation transformer unit 29T.
A curve L1 shows the transmission efficiency when a compensation transformer is provided only between the nearest parent machine coils. For example, in the case of the coil 23-5 in FIG. 31A, a compensation transformer is provided between the coils 23-2, 23-4, 23-6, and 23-8 at the position of the minimum pitch.

A curve L2 indicates the transmission efficiency in the case where a compensation transformer is provided between the nearest parent device coils and the second nearest parent device coil next to the nearest neighbor. For example, in the case of the coil 23-5 in FIG. 31 (a), it is the coil adjacent to the coils 23-2, 23-4, 23-6, 23-8, which are the nearest coils, and the second adjacent coil. This is a case where a compensation transformer is provided between the coils 23-1, 23-3, 23-7, and 23-9. In the case of the coil 23-1, the coil 23-4 and the coil 23-2 are the closest coils, the coil 23-5 is the second adjacent coil, and a compensating transformer is interposed between these coils. And no compensation transformer is provided between the other coil 23-3 and coils 23-6 to 23-9.
A curve LA indicates transmission efficiency when compensating transformers are provided for all combinations of selecting two coils from among the coils 23-1 to 23-9, that is, all 36 sets of coils.

  FIG. 33 shows the transmission efficiency when the center of the handset coil moves as shown in FIG. 31B, that is, when the straight line LP in FIG. 31B is moved. In each of FIGS. 33A to 33D, the vertical axis represents the transmission efficiency, and the horizontal axis represents the x coordinate in FIG. 31B. 33 (a) to 33 (d) show the transmission efficiency when the distance Zc between the parent device coil and the child device coil is 0.3 m, 0.5 m, 0.7 m, and 0.9 m, respectively. ing. 33A to 33D, the relationship between the curves L0, L1, L2, LA and the arrangement of the compensation transformer is the same as that in FIG.

As shown in FIGS. 32 and 33, when no compensation transformer is provided at any height (Zc) (curve L0), a compensation transformer is provided between all coil sets (curve LA). Of course, the transmission efficiency is improved.
Further, when the distance Zc is 0.7 m, even when the compensation transformer is provided only between the nearest coils (curve L1), the compensation transformer is provided up to the second proximity, although not as in the case of the curve LA. It can be seen that the transmission efficiency can be improved compared to the case (curve L2). Therefore, in the wireless power feeding system 108, the transmission efficiency can be improved by providing the compensation transformer between the nearest coils without providing the compensation transformer for all the coil sets as compared with the case where no compensation transformer is provided. ing.

  In each embodiment, the condition that at least the off-diagonal term of the components of the impedance matrix or the admittance matrix between the base unit power transmission units is approximately 0 is satisfied. At least off-diagonal terms of the matrix or admittance matrix components may fall within a predetermined range. In this case, each of the parent device power transmission units includes a power transmission element (for example, a coil) that transmits power, and when there is no child device power reception unit, an impedance matrix or an admittance matrix between the parent device power transmission units In at least one or more of the sets of the two parent device power transmission units among the plurality of parent device power transmission units, the power is reduced so that at least the off-diagonal term of the components of the components falls within a predetermined range. A compensation circuit including a transformer or a capacitor may be provided between the transmitting elements. Thereby, the absolute value of the mutual impedance or mutual admittance between the main | base station electric power transmission parts can be made small. As a result, energy transmission efficiency can be improved even when the output voltage of the high-frequency power source 4b is low.

  In summary, the non-contact power supply system includes at least one parent device power transmission unit that supplies power without contact and at least one slave unit power reception unit that receives power without contact from at least one parent device power transmission unit. And at least one compensation circuit composed of a transformer or a capacitor, and at least one or more of a set of two parent device power transmission units that can be selected from a plurality of parent device power transmission units In a set, a set of two slave unit power receiving units that can be selected from a plurality of slave unit power receiving units, or a base unit power transmitting unit constituting the set is connected via the compensation circuit In at least one of the sets, the slave unit power receiving units constituting the set are connected via the compensation circuit.

  Further, the compensation circuit connecting between the slave unit power receivers or between the master unit power transmitters is a mutual impedance or a mutual admittance between the terminals of the slave unit power receiver when there is no master unit power transmitter. Alternatively, the mutual impedance or mutual admittance between the terminals of the master unit power transmitter when there is no slave unit power receiver is substantially zero. Here, substantially 0 means sufficiently smaller than the mutual impedance or mutual admittance between the parent power transmission units when no compensation circuit is inserted, and further, the mutual power between the parent power transmission unit and the child power reception unit. It is sufficiently smaller than impedance or mutual admittance. Thereby, transmission efficiency can be improved by making the ratio diagonal component of an impedance matrix or an admittance matrix substantially zero.

  Further, the compensation circuit connecting between the slave unit power receiving units or between the master unit power transmitting units is self-impedance or self-admittance between terminals of the slave unit power receiving unit when there is no master unit power transmitting unit, respectively. Alternatively, the self-impedance or self-admittance between the terminals of the parent device power transmission unit when there is no child device power reception unit becomes substantially zero. Thereby, the transmission efficiency can be improved by making the diagonal component of the impedance matrix or the admittance matrix substantially zero.

In the above wireless power feeding system, it is preferable to set the output of the high-frequency power source 4b to “0” before outputting the switch switching signal. As a result, it is possible to prevent the occurrence of sparks due to a high voltage applied to the contacts at the time of switching the switch, and to extend the life of the switch. Further, for example, a semiconductor switch is used as the switch 26-n in FIG. 2, the switch 26-n in FIG. 9, the selector 262b-n in FIG. 14, the switch 26-n in FIG. 19, and the selectors Sa0 to Sa (B-1). It may be used.
Note that the current control unit 26b-n may simultaneously connect the plurality of terminals S1 to SB and the coil 23-n.
In the current control unit 26b-n, the current may be controlled by using an element such as a transistor or a field effect transistor (FET) instead of the capacitor. If these elements are used, the energy dissipation in the current control unit 26b-n can be ignored as compared with the power supplied to the coil.
In the above wireless power feeding system, an example in which one high-frequency power source 4b is used has been described, but the number of power sources may not be one. At this time, it is desirable that the plurality of power supplies can output the same amount of current, but the present invention is not necessarily limited thereto.

  In each of the wireless power feeding systems described above, an example in which the current amplitude control unit 15 in the parent power transmission control unit 1 outputs power to the parent device has been shown. In such a case, information indicating the current ratio determined by the current distribution determination unit 13 may be transmitted as a signal to each parent device 2-n, and the amplitude may be controlled by each parent device 2-n. Good.

In each of the wireless power feeding systems, the case where the current supplied to the parent device 2-n is controlled has been described. However, the present invention is not limited to this, and the voltage applied to the parent device 2-n may be controlled. Good.
In the wireless power feeding system described above, the power input to the slave unit 3-m is stored in the storage battery 35 and supplied to the load as a DC power source. However, by further including a DC-AC converter, AC power May be supplied to the load.
In each of the wireless power feeding systems, the parent device 2-n may include an antenna instead of the coil 23-n, and the child device 3-m may include an antenna instead of the coil 31-m.

  Note that the electrical signal used in each wireless power feeding system is not a signal for switching between the on state and the off state, but a multi-bit control value or a continuous control value.

  In the wireless power feeding system, the example using the impedance matrix Z has been described. However, instead of the impedance matrix Z, an admittance matrix, an inductance matrix, or a capacitance matrix may be used.

Further, in the wireless power feeding system, the master unit power transmission unit (2-n, 2b-n, 20-n, 2a-n, 2c-n, 2d-n) is an inductor as a power transmission element that transmits power. (23-n) and a capacitor (22-n, a capacitor in the current control unit 26b-n, a capacitor in the current control unit 26c-n). The slave unit power receiver (3-m, 30-m, 30a-m, 3a-m) includes an inductor (31-m) as a power receiving element that receives power, and a capacitor (32-m, 32a-m). 32b-m).
In the wireless power supply system, power is supplied from the inductor of the transmitter to the inductor of the receiver by magnetic field coupling due to resonance of the inductor and capacitor of the master unit power transmitter, the inductor of the slave unit power receiver, and the circuit consisting of the capacitor. To do.
Note that the wireless power feeding system may have the following configuration. That is, the power transmission unit includes a capacitor and an inductor as power transmission elements that transmit power, and the slave unit power reception unit includes a capacitor and an inductor as power reception elements that receive power. A configuration in which power is supplied from the capacitor of the transmitter to the capacitor of the receiver by electrostatic coupling due to resonance of a circuit including the inductor and capacitor of the parent device power transmitter, the inductor of the slave device power receiver, and the capacitor. As good as

In addition, you may make it implement | achieve part of the main | base station power transmission control part 1, 1a, 1b in each said wireless electric power feeding system with a computer. In that case, the program for realizing the control function may be recorded on a computer-readable recording medium, and the program recorded on the recording medium may be read by a computer system and executed. Here, the “computer system” is a computer system built in the parent power transmission control units 1, 1 a, 1 b and includes hardware such as an OS and peripheral devices. The “computer-readable recording medium” refers to a storage device such as a flexible medium, a magneto-optical disk, a portable medium such as a ROM and a CD-ROM, and a hard disk incorporated in a computer system. Furthermore, the “computer-readable recording medium” is a medium that dynamically holds a program for a short time, such as a communication line when transmitting a program via a network such as the Internet or a communication line such as a telephone line, In such a case, a volatile memory inside a computer system serving as a server or a client may be included and a program that holds a program for a certain period of time. The program may be a program for realizing a part of the functions described above, and may be a program capable of realizing the functions described above in combination with a program already recorded in a computer system.
Moreover, you may implement | achieve part or all of the main | base station power transmission control part 1, 1a, 1b in the wireless power supply system mentioned above as integrated circuits, such as LSI (Large Scale Integration). Each functional block of the parent power transmission control unit 1, 1a, 1b may be individually made into a processor, or a part or all of them may be integrated into a processor. Further, the method of circuit integration is not limited to LSI, and may be realized by a dedicated circuit or a general-purpose processor. Further, in the case where an integrated circuit technology that replaces LSI appears due to progress in semiconductor technology, an integrated circuit based on the technology may be used.
In each of the wireless power feeding systems described above, the same control can be performed by setting the impedance as admittance, the voltage as current, and the current as voltage.

1, 1b: parent device power transmission control unit, 2-n, 2b-n, 20-n, 2a-n (n = 1 to N) ... parent device, 3-m, 30-m, 30a- m, 3a-m (m = 1 to M)... slave, 4b... high frequency power supply, 11... complex voltage detector, 12... complex current detector, 13, 13a, 13b. Current distribution determination unit (distribution determination unit) 15, 15b ... current amplitude control unit, 16 ... storage unit, 17 ... control unit, 18, 18b ... selection table storage unit, 21-n ... Power supply unit, 21b-n ... Current receiving unit, 22-n ... Capacitor, 23-n ... Coil, 24-n ... Ammeter, 25-n ... Voltmeter, 26-n, switch, 26b-n, 26c-n, current control unit, 27-n, current direction switching unit, 28-n, power transmission unit, 31-m Coil, 32-m, 32a-m, 32b-m ... capacitor, 33-m ... switch, 34-m ... rectifier, 35-m ... storage battery, 36-m ... voltage Total, 37-m ... Load, 38-m ... Switch control unit, 39-m ... Power receiving unit, 131, 131a ... Energizing parent device selection unit, 132 ... Measured parent device Selection unit, 133 ... voltage and current input unit, 134, 134a ... impedance matrix generation unit, 135 ... current vector generation unit, 136 ... initial current vector generation unit, 137 ... current vector generation Part, CB ... capacitor, 262b-n, Sa0-SaB ... selector, 23G ... antenna part, 26G ... resonance capacitor part, 29T ... compensation transformer part, 29C ... compensation capacitor part

Claims (29)

A non-contact power feeding system comprising at least one parent device power transmission unit that supplies power in a contactless manner and at least one slave unit power reception unit that receives power from the at least one parent device power transmission unit in a non-contact manner,
At least one compensation circuit composed of a transformer or a capacitor,
In at least one set of a set of two master unit power transmission units that can be selected from a plurality of the master unit power transmission units, the master unit power transmission unit that constitutes the set includes the compensation circuit. Connected through
Alternatively, in at least one set of two sets of slave unit power receivers that can be selected from the plurality of slave unit power receivers, the slave unit power receivers constituting the set include the compensation circuit It is connected via,
Mutual impedance or mutual admittance between terminals of the slave unit power receiving unit when the compensation unit connecting between the slave unit power receiving units or between the master unit power transmitting units does not have a master unit power transmitting unit, respectively Alternatively , the non-contact power feeding system is characterized in that the mutual impedance or mutual admittance between terminals of the parent device power transmission unit when there is no child device power reception unit is substantially zero . The self-impedance or self-admittance between the terminals of the slave unit power receiving unit when there is no master unit power transmitting unit, the compensation circuit connecting between the slave unit power receiving unit or between the master unit power transmitting unit, respectively or a non-contact power supply system of claim 1, self-impedance or self-admittance between the terminals of the base unit power transmission unit when there is no handset power receiver is characterized by comprising substantially zero. In the case of non-contact power supply including the plurality of parent device power transmission units,
Each of the parent power transmission units includes a power transmission element for transmitting power,
When there is no slave power receiver, the absolute value of the mutual impedance or mutual admittance between the terminals of the master power transmitter is within a predetermined range. among them, the two sets of base unit power transmission unit of the at least one or more sets, claim 1, characterized in that it comprises a compensation circuit comprising a transformer or a capacitor between the adjacent said power transmission elements or The non-contact electric power feeding system according to claim 2 . The reason why the absolute value of the mutual impedance or mutual admittance between the parent power transmission units is within a predetermined range is that the mutual impedance or mutual admittance between the parent power transmission units is substantially zero. The contactless power feeding system according to claim 3 , wherein the condition is satisfied. The compensation circuit comprised from a transformer or a capacitor | condenser is provided between the said power transmission elements in which the distance between the said power transmission elements exists in the predetermined range, The Claim 3 or Claim 4 characterized by the above-mentioned. Contactless power supply system. The power transmission element is a coil,
It is a set of coils having a positive mutual inductance, and a compensation circuit including a capacitor is provided between the coils of the set of coils in which the distance between the coils of the set of coils is in a predetermined range. The contactless power feeding system according to claim 5 . The plurality of coils are arranged side by side in the form of a solid square,
In a plan view when the coil is viewed from the axial direction of the winding of the coil, the mutual inductance of the coils is positive between the coils adjacent vertically or horizontally, and between the coils adjacent vertically or horizontally in the plane view. The contactless power feeding system according to claim 6 , further comprising a compensation circuit including a capacitor. The number of the parent device power transmission units is N (N is an integer of 2 or more), and further includes a distribution determination unit that determines an electric signal to be supplied to the N parent device power transmission units. A power supply system,
The electrical signal has a current or voltage or a linear combination thereof as a component,
When the distribution determining unit is an N-dimensional vector X having an electric signal supplied to each of the parent power transmission units as a component, the matrix A is a regular Hermite matrix of N rows × N columns, and the formula (1) The scalar (~ is a transposed matrix and * is a complex conjugate) is non-negative,

The secondary form matrix of the electrical signal when the slave unit power reception unit functions is a matrix B that is an N-row × N-column Hermitian that represents energy dissipation and has a coefficient as a component. Scalar represents energy consumption,

When matrix A is expressed as equation (3),

Matrix D expressed by Equation (4)

The electric signal is determined so as to be proportional to a component of a vector C ⁻¹ Y obtained by multiplying a linear combination of eigenvectors Y with respect to non-zero eigenvalues by a matrix C ⁻¹ which is an inverse matrix of the matrix C from the left. The contactless power feeding system according to any one of claims 1 to 7 . The matrix B is a matrix of a real part of an impedance matrix or a real part of an admittance matrix for each terminal of the master unit power transmission unit when the slave unit power reception unit functions,
The distribution determination unit determines an electric signal to be supplied to the N parent power transmission units based on a reference matrix which is a positive Hermitian matrix representing a secondary form of the electric signal and the matrix B The contactless power feeding system according to claim 8 , wherein: The distribution determining unit is calculated to be proportional to the component of the vector C ⁻¹ Y calculated based on the eigenvector Y with respect to the maximum eigenvalue of the matrix D or based on the eigenvector Y with respect to the minimum eigenvalue of the matrix D. 10. The non-contact power feeding system according to claim 9 , wherein an electric signal supplied to the N parent power transmission units is determined so as to be proportional to a component of the vector C- ^1Y . The contactless power feeding system according to any one of claims 8 to 10 , wherein the matrix A is a unit matrix. The matrix A is non according to any one of claims 10 claim 8, characterized in that the real part of the real part or the admittance matrix of the impedance matrix when the child machine power receiver does not exist Contact power supply system. The matrix A, any imaginary part of the base unit power transmission unit each impedance matrix, the real part of the capacitance matrix, and claims 8, characterized in that either the real part of the inductance matrix of claim 10 A contactless power supply system according to claim 1. Non-contact power supply according to any one of claims 13 claim 8, characterized in that the total energy of the place where the scalar is stored in a certain space of the specific region of the formula (1) of the quadratic form system. The distribution determining unit is configured so that a current corresponding to a component having a maximum absolute value among components of the eigenvector has a current rating, or a voltage corresponding to a component having the maximum absolute value among components of the eigenvector. The non-contact power feeding system according to any one of claims 8 to 14 , wherein the electric signal to be supplied to the N parent device power transmission units is determined so as to have a voltage rating. The reference matrix is a real part of an impedance matrix or an admittance matrix when the slave unit power receiver is not present, or a real part of an inductance matrix between the N parent unit power transmitters, Alternatively, the energy in which the imaginary part of the impedance matrix between the base unit power transmission units or the imaginary part of the admittance matrix between the base unit power transmission units is expressed in a specific region in the space is expressed in the secondary form of the electrical signal. The non-contact power feeding system according to claim 9 or 10 , wherein the matrix is a Hermitian coefficient matrix. The vector Y in the allocation determination unit, said matrix to converge to eigenvectors and D, the N base unit according to claim 16 claim 8, wherein determining the electrical signal to be supplied to the power transmission unit The non-contact electric power feeding system as described in any one of. The contactless power receiving unit according to any one of claims 8 to 17 , wherein the slave unit power receiving unit has a power reception refusal mode that limits power feeding from the N parent unit power transmitting units. Power supply system. The non-contact power feeding system according to any one of claims 8 to 18 , further comprising a control unit that limits the supplied electric signal and outputs the electric signal to the parent device power transmission unit. The contactless power supply system according to claim 19 , wherein the control unit limits the electric signal by an element whose energy dissipation is negligible compared to the energy of the electric signal. The base unit power transmission unit includes an inductor and a capacitor as power transmission elements for transmitting power,
The slave unit power receiving unit includes an inductor and a capacitor as a power receiving element for receiving power,
An inductor and a capacitor of the parent device power transmission unit, an inductor of the child device power reception unit, and an inductor of the child device power reception unit from the inductor of the parent device power transmission unit by magnetic field coupling due to resonance of a circuit including the capacitor The non-contact power feeding system according to any one of claims 1 to 20 , wherein power is fed to the power source. The base unit power transmission unit includes a capacitor as a power transmission element for transmitting power, and an inductor,
The slave unit power receiving unit includes a capacitor and an inductor as a power receiving element for receiving power,
Due to electrostatic coupling due to resonance of a circuit comprising the inductor and capacitor of the parent device power transmission unit, the inductor and capacitor of the child device power reception unit, the capacitor of the child device power reception unit from the capacitor of the parent device power transmission unit The non-contact power feeding system according to any one of claims 1 to 20 , wherein power is fed to the capacitor. The control unit includes a plurality of capacitors and a plurality of switching units,
The plurality of capacitors, one end is connected to each other, the other end is connected to the input end of each switching unit,
The output ends of the plurality of switching units are connected to each other, and the connected point is connected to the coil,
The distribution determination unit is configured to supply electricity to the N parent power transmission units based on information indicating a voltage applied to the coil and information indicating a current flowing in the capacitor when the switching unit is sequentially switched. 21. The contactless power supply system according to claim 19 or 20 , wherein a distribution of signals is determined. The controller is
A plurality of capacitors;
A plurality of switching units having first to third ports and having a port changeover switch for switching the connection between the first or second port and the third port among the first to third ports When,
With
In the plurality of switching units, the first ports are connected to each other, the connected first connection point is connected to the power supply unit, the second ports are connected to each other, and each of the second ports Grounded, and the third port is connected to one end of one of the plurality of capacitors;
The plurality of capacitors, the other ends are connected to each other, the connected second connection point is connected to the coil,
The switching unit supplies the N base unit power transmission units based on information indicating a current flowing through the second connection point and information indicating a voltage applied to the coil when the switching unit is sequentially switched. 21. The contactless power feeding system according to claim 19 or 20 , wherein distribution of electrical signals to be determined is determined. The electrical signal is non-contact power supply system according to claim 20, any one of claims 23 claim 8, characterized in that it is supplied from a small number of power than the number of the base unit power transmission unit. A non-contact power feeding system further comprising a distribution determining unit that determines an electrical signal to be supplied to the plurality of parent device power transmitting units,
The electrical signal has a current or voltage or a linear combination thereof as a component,
The plurality of master units so that the distribution determining unit is proportional to a component of an eigenvalue vector with respect to a non-zero eigenvalue of a real part of an impedance matrix or a real part of an admittance matrix when the slave unit power receiving unit is present The contactless power feeding system according to any one of claims 1 to 7 , wherein the electric signal supplied to the power transmission unit is determined. A non-contact power feeding system comprising at least one parent device power transmission unit that supplies power in a contactless manner and at least one slave unit power reception unit that receives power from the at least one parent device power transmission unit in a non-contact manner,
At least one compensation circuit composed of a transformer or a capacitor,
In at least one set of a set of two master unit power transmission units that can be selected from a plurality of the master unit power transmission units, the master unit power transmission unit that constitutes the set includes the compensation circuit. Connected through
Alternatively, in at least one set of two sets of slave unit power receivers that can be selected from the plurality of slave unit power receivers, the slave unit power receivers constituting the set include the compensation circuit It is connected via,
In the case of non-contact power supply including the plurality of parent device power transmission units,
Each of the parent power transmission units includes a power transmission element for transmitting power,
When there is no slave power receiver, the absolute value of the mutual impedance or mutual admittance between the terminals of the master power transmitter is within a predetermined range. Of these, a contactless power feeding system comprising a compensation circuit including a transformer or a capacitor between the power transmission elements in at least one of the groups including two master unit power transmission units . A non-contact power feeding system comprising at least one parent device power transmission unit that supplies power in a contactless manner and at least one slave unit power reception unit that receives power from the at least one parent device power transmission unit in a non-contact manner,
At least one compensation circuit composed of a transformer or a capacitor,
In at least one set of a set of two master unit power transmission units that can be selected from a plurality of the master unit power transmission units, the master unit power transmission unit that constitutes the set includes the compensation circuit. Connected through
Alternatively, in at least one set of two sets of slave unit power receivers that can be selected from the plurality of slave unit power receivers, the slave unit power receivers constituting the set include the compensation circuit It is connected via,
The number of the parent device power transmission units is N (N is an integer of 2 or more), and further includes a distribution determination unit that determines an electric signal to be supplied to the N parent device power transmission units. A power supply system,
The electrical signal has a current or voltage or a linear combination thereof as a component,
When the distribution determining unit is an N-dimensional vector X having an electric signal supplied to each of the parent power transmission units as a component, the matrix A is a regular Hermite matrix of N rows × N columns, and the formula (1) The scalar (~ is a transposed matrix and * is a complex conjugate) is non-negative,

The quadratic form matrix of the electrical signal when the slave unit power receiver functions is energy dissipation
And a matrix B which is an N-row × N-column Hermitian with the coefficient as a component, and the scalar in equation (2) represents energy consumption,

When matrix A is expressed as equation (3),

Matrix D expressed by Equation (4)

Is the inverse of the matrix C from the left to the linear combination of the eigenvectors Y for the non-zero eigenvalues of
A non-contact power feeding system , wherein the electric signal is determined to be proportional to a component of a vector C ^-1 Y multiplied by a matrix C ^-1 . A non-contact power feeding system comprising at least one parent device power transmission unit that supplies power in a contactless manner and at least one slave unit power reception unit that receives power from the at least one parent device power transmission unit in a non-contact manner,
At least one compensation circuit composed of a transformer or a capacitor,
In at least one set of a set of two master unit power transmission units that can be selected from a plurality of the master unit power transmission units, the master unit power transmission unit that constitutes the set includes the compensation circuit. Connected through
Alternatively, in at least one set of two sets of slave unit power receivers that can be selected from the plurality of slave unit power receivers, the slave unit power receivers constituting the set include the compensation circuit It is connected via,
A non-contact power feeding system further comprising a distribution determining unit that determines an electrical signal to be supplied to the plurality of parent device power transmitting units,
The electrical signal has a current or voltage or a linear combination thereof as a component,
The plurality of master units so that the distribution determining unit is proportional to a component of an eigenvalue vector with respect to a non-zero eigenvalue of a real part of an impedance matrix or a real part of an admittance matrix when the slave unit power receiving unit is present A non-contact power feeding system that determines the electrical signal to be supplied to a power transmission unit .

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