JP2020048316A - Wireless power transmission system - Google Patents

Abstract

To provide a system capable of improving the efficiency of wireless power transmission between a power transmission element and a power receiving element in a one-to-plurality, plurality-to-one, or plurality-to-plurality combination.SOLUTION: Based on four impedance matrices (Z, Z, Z, Z) determined based on a shape characteristic factor c, position p, and posture qof each power transmission element Tas well as a shape characteristic factor c, position p, and posture qof each power receiving element (R), M+N eigenvalues λ are obtained as solutions for an eigenvalue problem in accordance with a model in which a power transmission efficiency η from M power transmission elements Tto N power receiving elements Ris defined as a Rayleigh product. By variously changing an unknown designation factor, solutions for such a designation factor that a maximum eigenvalue λis maximized or made higher than or equal to a threshold value are retrieved.SELECTED DRAWING: Figure 1

Description

  The present invention relates to wireless power transmission technology.

  Techniques for maximizing the power transmission efficiency of a wireless system between a power transmitting element and a power receiving element have been proposed (see Non-Patent Documents 1 and 2).

Q. Chen, et al., “Antenna characterization for wireless power transmission system using near-field coupling,” IEEE Antennas Propag. Mag., Vol. 54, no. 4, pp. 108-116, Aug, 2012. Q. Chen and Q. Yuan, “Antennas in wireless charging systems,” in Hanbook of Antenna Technologies, Springer Singapore, Aug. 2015 R1-1

  However, from the viewpoint of improving the convenience of the wireless power transmission system, the maximum power transmission efficiency of the wireless system between the power transmitting element and the power receiving element in a one-to-many, a plural-to-one, or a plural-to-many combination is not one-to-one. It is necessary to promote the conversion.

  Therefore, an object of the present invention is to provide a system capable of improving the efficiency of wireless power transmission between a power transmitting element and a power receiving element in a combination of one to plural, plural to one, or plural to plural.

The wireless power transmission system according to the first aspect of the present invention includes M power transmitting elements T _i (1 ≦ i ≦ M) and N power receiving elements R _j (1 ≦ j ≦ N). at least one of the N is a wireless power transmission system of a plurality, shape characteristics factor c _i of the respective power transmission element T _i, the position p _i and orientation q _i, and the shape characteristic factor c _j of each power receiving device R _{j + M} , a position p _{j + M} and a posture q _{j + M} , an M × M self-impedance matrix Z _TT representing the self-impedance of each power transmitting element T _i , and an N × M representing the self-impedance of each power receiving element R _j N self-impedance matrix Z _RR , M × N mutual impedance matrix Z _TR representing the mutual impedance of the M power transmitting elements T _i and the N power receiving elements R _j , and the N power receiving elements R _j And the mutual impedance of the M power transmitting elements T _i A first processing element that determines an N × M mutual impedance matrix Z _RT that represents an impedance matrix, and four impedance matrices Z _TT , Z _RR , Z _TR , and Z _RT defined by the first processing element , The power transmission efficiency η from the M power transmitting elements to the N power receiving elements is calculated according to a model defined as a Rayleigh quotient expressed by the following equation (1). , A second operation processing element for obtaining M + N eigenvalues λ and a maximum eigenvalue _λmax, and a shape characteristic factor c _i and a position p _{i of} each power transmitting element T _i output to the first operation processing element. and posture q _i, and the shape characteristics factor c _{j + M} for the power receiving device R _j, of the position p _{j + M} and attitude q _{j + M,} by variously changed specified factor is unknown, the Second operation processing element And a third operation processing element for searching for a solution of the specified factor that maximizes the maximum eigenvalue λ _max obtained by the above or makes the maximum eigenvalue λ _max or more.

(" ^H " is a complex conjugate transpose, " ^T " is a transpose, and " ^* " is a complex conjugate matrix.)

The wireless power transmission system according to the second aspect of the present invention includes M power transmitting elements T _i (1 ≦ i ≦ M) and N power receiving elements R _j (1 ≦ j ≦ N). at least one of the N is a wireless power transmission system is more, using frequency f, the shape characteristic factor c _i of the respective power transmission element T _i, the position p _i and orientation q _i, and the shape of the power receiving device R _j characteristics factor c _{j + M,} from the position p _{j + M} and attitude q _{j +} based on _M, the signal reflected in the transmission device T _i when the output signals from the respective power transmission element T _i or the respective power transmission element T _i, a matrix S _TT of M × M representing the signals passing to the other power transmission element T _i1 when outputting the signal, the signal is reflected to the respective power receiving devices R _j when the output signals from the respective power receiving devices R _j or, An N × N matrix S _RR representing a signal passing through another power receiving element R _j1 when a signal is output from each power receiving element R _j And an M × N matrix S _TR representing signals passing through the N power receiving elements R _j when outputting signals from the M power transmitting elements T _i , and outputting signals from the N power receiving elements R _j In this case, an N × M matrix S _RT representing signals passing through the M power transmitting elements T _i , and four matrices S _TT , S determined by the first calculation processing element _RR, based on the S _TR, S _RT, the M power transmission efficiency η from the power transmission element for the N receiving elements, the incident wave a _Ti into the respective power transmission element T _i, incident to each power receiving device R _j wave a _Rj, according to the model defined as Rayleigh quotient represented by the respective power transmission element T _i according to the reflected wave b _Ti and the power receiving device R _j by relationship with reflected wave b _Rj formula (3), equation ( of M + N number as a solution of the eigenvalue problem represented by 4) eigenvalues lambda and the maximum eigenvalue lambda _max And Mel second arithmetic processing element, wherein said use frequency f is output to the first processing element, the shape characteristics factor c _i of the respective power transmission element T _i, the position p _i and orientation q _i, and the Of the shape characteristic factor c _{j + M} , position p _{j + M,} and attitude q _{j + M} of each power receiving element R _j , the unknown designating factor is variously changed, and thus, is obtained by the second arithmetic processing element. And a third operation processing element for searching for a solution of the specified factor so as to maximize the maximum eigenvalue λ _max or make the maximum eigen value λ _max or more.

(" ^H " is a complex conjugate transpose, " ^T " is a transpose, and " ^* " is a complex conjugate matrix.)

According to the wireless power transmission system of the present invention, use frequency f, the shape characteristic factor c _i of the respective power transmission element T _i, the position p _i and orientation q _i, and the shape characteristic factor c _{j + M} for the power receiving device R _j , The position p _{j + M} and the posture q _{j + M} , the unknown designated factor is variously changed. As a result, the solution of the designated factor is searched so as to maximize the maximum eigenvalue λ _max as the solution of the eigenvalue problem or to make the maximum eigenvalue λ _max or more. Thereby, one-to-many (when M is singular and N is plural), plural-to-one (when M is plural but N is singular) or plural-to-multiple (both M and N are plural) ), The efficiency of wireless power transmission between the power transmitting element and the power receiving element can be improved.

FIG. 1 is a configuration explanatory diagram of a wireless power transmission system as one embodiment of the present invention. FIG. 4 is an explanatory diagram regarding an example of a method for calculating a Z matrix. FIG. 3 is a view showing an example of a search solution and a plurality of real space regions including the search solution. Explanatory drawing about the output form of the specification information regarding a search solution.

(Configuration (first embodiment))
The wireless power transmission system according to the embodiment of the present invention shown in FIG. 1 includes M power transmitting elements T ₁ , T ₂ , ΔT _M and N power receiving elements R ₁ , R ₂ , ΔR. _N and a server 100. At least one of "M" and "N" is plural. Each power transmission element T _i (i = 1, 2, ΔM) is simulated to be, for example, an annular conductor having a circumference c _i as a shape characteristic factor. Position p _i of the respective power transmission element T _i is represented by three-dimensional vector of the center position of the circular ring, the attitude q _i of the respective power transmission element T _i is represented by the plane vector of the plane in which the circular ring is present. Each power transmission element T _i is provided with a power supply driver (not shown) for supplying power to each power transmission element T _i and controlling the power (current).

Each power receiving element R _j (j = 1, 2, ΔN) is simulated as an annular conductor having a circumference c _{j + M} as a shape characteristic factor. The position p _{j + M} of each power receiving element R _j is represented by a three-dimensional vector of the center position of the ring, and the attitude q _{j + M} of each power receiving element R _j is represented by a plane vector of the plane on which the ring exists. Is represented. Each power transmission element T _i is provided with a power supply driver (not shown) for supplying power to each power transmission element T _i and controlling the power (current).

  The server 100 includes a storage device 102, a communication device 104, a first processing element 110, a first processing element 120, and a third processing element 130.

  The storage device 102 stores, in addition to data relating to the respective arithmetic processing results of the first arithmetic processing element 110, the first arithmetic processing element 120, and the third arithmetic processing element 130, etc., software necessary for the arithmetic processing. . The communication device 104 transmits the designated information to the terminal device.

  Each of the first arithmetic processing element 110, the first arithmetic processing element 120, and the third arithmetic processing element 130 is configured by a plurality of common or separate CPUs (such as a multi-core processor or a single-core processor) and assigned arithmetic processing. Is configured to execute. That is, the arithmetic processing units configuring each of the first arithmetic processing element 110, the first arithmetic processing element 120, and the third arithmetic processing element 130 are capable of storing necessary data and software from various memories such as a memory configuring the storage device 102. , And is programmed or designed to execute arithmetic processing according to the software on the data.

The first arithmetic processing element 110 includes a shape characteristic factor c _i , a position p _i and an attitude q _{i of} each power transmitting element T _i , a shape characteristic factor c _{j + M} , a position p _{j + M} and a position characteristic _j of each power receiving element R _j. Based on the attitude q _{j + M} , an M × M self-impedance matrix Z _TT representing the self-impedance of each power transmitting element T _i , an N × N self-impedance matrix Z _RR representing the self-impedance of each power receiving element R _j , An M × N mutual impedance matrix Z _TR representing the mutual impedance of M power transmitting elements T _i and N power receiving elements R _j , and the mutual impedance of N power receiving elements R _j and M power transmitting elements T _i And an N × M mutual impedance matrix Z _RT . The 〇 × ● matrix means a 〇 row and ● column matrix.

Z _TT use frequency f, is determined according to the function of the arrangement between the shape characteristics factor c _i and the transmission element of the transmission element T _i. Z _RR is determined in accordance with a function of a use frequency f and a shape characteristic factor c _{j + M} of each power receiving element R _j . Each of Z _TR and Z _RT is determined according to a function of use frequency f, c _k , p _k and q _k (k = 1, 2, ΔM, M + 1, M + 2, ΔM + N).

The second arithmetic processing element 120 _converts the M power transmitting elements T _i to the N power receiving elements R based on the four impedance matrices Z _TT , Z _RR , Z _TR , and Z _RT determined by the first arithmetic processing element 110. _According to a model defined as a Rayleigh quotient represented by the relational expression (1), the power transmission efficiency η for _j is calculated as M + N eigenvalues λ and a maximum eigenvalue λ _max as a solution of the eigenvalue problem represented by the relational expression (2). Ask for.

(" ^H " is a complex conjugate transpose, " ^T " is a transpose, and " ^* " is a complex conjugate matrix.)

The respective matrices on the left and right sides of the relational expression (2) are Hermitian matrices. The power transmission efficiency η expressed by the relational expression (1) is a generalized Rayleigh quotient and has a maximum value η _max . The maximum Rayleigh quotient is equal to the maximum eigenvalue of the generalized eigenvalue problem represented by relational expression (2).

Here, the derivation process will be described with respect to the relational expression (1). Transmission voltage vector V _T M-dimensional to the respective voltage components of the M transmission elements, the M-dimensional to respective current components of the M transmission device transmitting the current vector I _T, of the N receiving elements receiving voltage vector V _R N-dimensional to the respective voltage components, and the relationship between receiving current vector I _R N-dimensional to the respective current as a component of the N receiving elements equation (5) and (6 ).

The power transmission efficiency eta, defined according to equation (7) as the ratio of the output voltage P _out with respect to the input power P _in.

Each of the input power P _in and the output voltage P _out is expressed by the respective relations (8) and (9).

  The power transmission efficiency η is represented by a relational expression (10) obtained by combining the relational expressions (7) to (9).

Here, R _RR represents an N × N resistance matrix having the real part of the N × N self-impedance matrix as an element. R _TT represents an M × M resistance matrix having the real part of the M × M self-impedance matrix as an element. The relational expression (1) is obtained by modifying the relational expression (10).

Third arithmetic processing element 130, the shape characteristic factor c _i of the respective power transmission element T _i to be output to the first processing element 110, the position p _i and orientation q _i, and the shape characteristics of the respective power receiving devices R _j By maximizing the maximum eigenvalue λ _max obtained by the second arithmetic processing element 120, variously changing the unknown designated factor among the factor c _{j + M} , the position p _{j + M} and the posture q _{j + M.} Search for a solution for the specified factor that does or exceeds the threshold. Third arithmetic processing element 130 is represented by the eigenvector corresponding to the largest eigenvalue lambda _max obtained by the second arithmetic processing element 120, either the current I = I _T of the transmission element T _i and the power receiving device R _j , if I _R ^T deviates from a predetermined range, excluding designated factor corresponding to the maximum eigenvalue from the solution.

(Function (first embodiment))
For example, as shown in Figure 1, there equipment Multiple transmission elements _{T i (i = 1,2, ‥} M) is installed, the shape characteristic factor c _i of the respective power transmission element T _i, the position p _i In a state where the current I _i and the voltage V _i are known in addition to the posture q _i and the current I _i and the voltage V _i , a smartphone X _j (or a tablet terminal) including a power receiving element R _j having a shape characteristic factor c _{i + M} in the facility is provided. Consider a case where a portable terminal (including a mobile terminal) is brought in. The known factors are stored and held in the storage device 102.

In this case, the wireless communication between the communication device 104 and the smart phone X _j of the server 100 installed in the equipment (e.g., Wi-Fi communication ( "Wi-Fi" is a registered trademark)), the power receiving with the smart phone X _j At least the shape characteristic factor c _{j + M} (and, if necessary, the current I _{j + M} and the voltage V _{j + M} ) of the element R _j is recognized by the first processing element 110 of the server 100. Then, in order to bring the power transmission efficiency η to its maximum value η _max , the unknown position p _j and posture q _j of the power receiving element R _j are determined by the third operation processing element 130 that constitutes the server 100 as a designated factor. As a result, a solution of the specified factor that maximizes the maximum power transmission efficiency η _max or makes the maximum power transmission efficiency η _max or more is searched for.

Specifically, position p _j and posture q _{j of power} receiving element R _j , which are designated factors, are provisionally determined by third operation processing element 130. For example, as shown in FIG. 3, when there are a plurality of real space areas S _{1 to} S ₇ constituting a target area of wireless power transmission by a plurality of power transmitting elements T _i, the plurality of real space areas S _{1 to} S ₇ are present. position p _j of the power receiving device R _j to be included in any of ₁ to S ₇ are provisionally determined. The plurality of real space regions may be defined as a two-dimensional region like a bird's-eye view, or may be defined as a three-dimensional region including a height.

The position p _j of the power receiving element R _{j in} the real space is, for example, 0.05 m, 0.10 m, 0.20 m, 0.50 m, 1 m, or 2 m in discrete coordinate values (latitude and Longitude, or latitude, longitude and altitude). The attitude q _j of the power receiving element R _{j in} the real space is defined by discrete angles (elevation angle and azimuth angle, or Euler angle) such as 5 °, 10 °, or 15 °.

Subsequently, known factors (frequency f of the electromagnetic waves used for transmitting and receiving, the shape characteristic factor c _i of the respective power transmission element T _i, other positions p _i and orientation q _i, currents I _i and the voltage V _i, and smart At least the shape characteristic factor c _{j + M} of the power receiving device R _j to Hong X _j has a current I _{j + M} and voltage V _{j + M),} the position p _j and unknown factors (power reception device R _j provisionally determined Based on the attitude q _j ), the first arithmetic processing element 110 determines the four impedance matrices Z _TT , Z _RR , Z _TR , and Z _RT (see relational expressions (3) and (4)).

Then, based on the four impedance matrices Z _TT , Z _RR , Z _TR , and Z _RT determined by the first arithmetic processing element 110, the second arithmetic processing element 120 _converts the M T _i power transmitting elements to the power receiving elements R _j. The eigenvalue λ and the maximum eigenvalue _λmax are obtained as solutions to the eigenvalue problem expressed by the relational expression (2) according to a model in which the power transmission efficiency η with respect to the eigenvalue problem is expressed by the relational expression (1).

Thereafter, a provisional determination of a designated factor (position p _j and posture q _{j of the power} receiving element R _j ) by the third processing element 130, and four impedance matrices Z _TT , Z _RR , Z _TR , and Z by the first processing element 110 are performed. The setting of _RT and the derivation of the maximum eigenvalue λ _max by the second arithmetic processing element 120 are repeated. In the course of the repetition, the provisional determination of the designated factor is repeated so that the maximum eigenvalue λ _max gradually increases. For example, if the rate of increase over the specified number of maximum eigenvalue lambda _max is equal to or less than a predetermined value, the maximum eigenvalue lambda _max is considered to have been maximized, the specified factor is provisionally determined as the basis of the maximum eigenvalue lambda _max at that time It may be obtained as a solution. When the maximum eigenvalue λ _max becomes equal to or larger than the threshold, a designated factor provisionally determined as a basis of the maximum eigen value λ _max at that time may be obtained as a solution.

Here, a case where the position p _j of the power-receiving elements R _j as search solution to maximize or above the threshold value of the maximum power transmission efficiency eta _max is encompassed in the fourth actual space area S _4. In this case, the third arithmetic processing element 130, superimposed on a map showing a floor plan of the equipment, if you go to the fourth actual space area S ₄ of the equipment, the charging of the battery mounted on the smart phone X _j Designation information including a message indicating that the operation is performed smoothly is generated. The designation information is transmitted to the smartphone _Xj by the communication device 104 of the server 100, and in response to this, the message is displayed on the output device (display device) of the smartphone _Xj as shown in FIG. You. Thus, the user of the smartphone X _j, it is possible to induce a seat disposed in the fourth actual space area S _4.

(Configuration (Second Embodiment))
The wireless power transmission system according to the second embodiment of the present invention is different from the first embodiment in the respective functions of the first operation processing element 110, the second operation processing element 120, and the third operation processing element 130. .

First arithmetic processing element 110 uses the frequency f, the shape characteristic factor c _i of the respective power transmission element T _i, the position p _i and orientation q _i, and the shape characteristic factor c _{j + M} for the power receiving device R _j, positions p _A scattering matrix S is determined based on _{j + M} and attitude qj _{+ M.}

  An impedance matrix Z of (M + N) rows × (M + N) columns is represented by a relational expression (11) using a scattering matrix S of (M + N) rows × (M + N) columns.

"S _TT" in the relation (11), each power transmission element signals reflecting the T _i or the respective power transmission element T _i other transmission when outputting a signal from when the output signals from the respective power transmission element T _i 5 is an M × M matrix representing signals passing through element T _i1 . "S _RR" is passed to the other receiving element R _j1 upon output signals from the respective power receiving devices R signal reflects the respective power receiving devices R _j when the output signal from the _j or each receiving element R _j, It is an N × N matrix representing signals. "S _TR" is a matrix of M × N representing the signals passing to the N receiving elements R _j when the output signals from the M transmission element T _i. “S _RT ” is an N × M matrix representing a signal that passes through M power transmitting elements T _i when a signal is output from N power receiving elements R _j .

The second arithmetic processing element 120 is configured to convert the M power transmitting elements T _i to the N power receiving elements R _j based on the four matrices S _TT , S _RR , S _TR , and S _RT determined by the first arithmetic processing element 110. Is the incident wave a _Ti to each power transmitting element T _i , the incident wave a _Rj to each power receiving element R _j , the reflected wave b _{Ti from} each power transmitting element T _i , and the reflected wave from each power receiving element R _j According to a model defined as a Rayleigh quotient represented by the relational expression (3) using b _Rj , M + N eigenvalues λ and a maximum eigenvalue λ _max are obtained as solutions of the eigenvalue problem represented by the relational expression (4).

The power transmission efficiency η expressed by the relational expression (3) is a generalized Rayleigh quotient and has a maximum value η _max .

(" ^H " is a complex conjugate transpose, " ^T " is a transpose, and " ^* " is a complex conjugate matrix.)

The third arithmetic processing element 130 uses the frequency f output to the first arithmetic processing element 110, the shape characteristic factor c _i , the position _pi and the attitude q _{i of} each power transmitting element T _i , and each power receiving element R _j shape property factor c _{j + M,} of the position p _{j + M} and attitude q _{j + M,} by variously changed specified factor is unknown, the maximum eigenvalue λ obtained by the second arithmetic processing element 120 Search for a solution for the specified factor that maximizes _max or makes it greater than or _equal to the threshold.

Here, as shown in FIG. 2, each of the two annular power receiving elements R ₁ and R ₂ included in one plane is included in another plane parallel to the one plane. Consider, as an example, a situation in which each of the two annular power transmitting elements T ₁ and T ₂ is arranged to face each other. The distance between the centers of the power transmitting elements T ₁ and T ₂ and the distance between the centers of the power receiving elements R ₁ and R ₂ were both set to 10 m. The circumference of each of the power transmitting elements T ₁ and T ₂ and the power receiving elements R ₁ and R ₂ was set to 0.1 wavelength (〜15 m) of an electromagnetic wave having a frequency f = 2 MHz.

  In this case, the scattering matrix S is accurately calculated by the electromagnetic field analysis simulator as in the relational expression (12).

Here, each element of the scattering matrix S is | s _ij | arg in the form of (s _ij) are complex representation, for example, the absolute value "8.48 ‥ E-01" is a complex number for S ₁₁ | s _ij | And “∠−179.561” corresponds to the argument arg | s _ij |.

  Also, data of the [Z] matrix can be calculated from the [S] matrix of (13) using equation (11). Further, the [S] matrix data of the model shown in FIG. 2 can be obtained from measurement using a 4-port network analyzer. In view of the fact that measuring instruments and most electromagnetic field analysis simulators only provide data on [S] matrices, calculating efficiency using [S] matrices is considered to be simpler and more practical.

(Function (second embodiment))
According to the wireless power transmission system of the configuration, similarly to the first embodiment, the temporary determination of the specified factor by a third arithmetic processing element 130 (position p _j and attitude q _j of the power-receiving elements R _j), the first arithmetic processing The setting of the four matrices S _TT , S _RR , S _TR , and S _RT by the element 110 and the derivation of the maximum eigenvalue λ _max by the second operation processing element 120 are repeated. In the course of the repetition, the provisional determination of the designated factor is repeated so that the maximum eigenvalue λ _max gradually increases.

As described above, when the position p _j of the power receiving element R _j as a search solution for maximizing the maximum power transmission efficiency η _max or achieving a value equal to or greater than the threshold is included in the fourth real space area S ₄ , the third arithmetic processing element 130, superimposed on a map showing a floor plan of the equipment, if you go to the fourth actual space area S ₄ of the equipment, the smooth line charging of a battery mounted on a smart phone X _j The specified information including a message to the effect that the message is issued is generated. The designation information is transmitted to the smartphone _Xj by the communication device 104 of the server 100, and in response to this, the message is displayed on the output device (display device) of the smartphone _Xj as shown in FIG. You. Thus, the user of the smartphone X _j, it is possible to induce a seat disposed in the fourth actual space area S _4.

(Another embodiment of the present invention)
In the above-described embodiment, the position p _j and the attitude q _j of the power receiving element R _j are repeatedly changed as designating factors, thereby realizing the maximum value η _max of the power transmission efficiency η or realizing a value equal to or larger than the threshold value. Although the solution has been searched, the solution may be searched as a designated factor whose other factors are unknown.

For example, the current I _i and the voltage V _{i of} each power transmission element T _i are unknown as designating factors, and other factors (frequency f of a signal (electromagnetic wave) used for transmission / reception, shape characteristic factor c _i of each power transmission element T _i ). , Position p _i and posture q _i , and shape characteristic factor c _{j + M} , position p _{j + M} , posture q _{j + M} , current I _{j + M} and voltage V of the power receiving element R _j of the smartphone X _{j. In} a state in which ( _{j + M} ) is known, a solution that realizes the maximum value η _max of the power transmission efficiency η or a value that realizes a value equal to or larger than the threshold value may be searched for.

100 server, 102 storage device, 104 communication device, 110 first processing element, 120 second processing element, 130 third processing element, R _{j power} receiving element, T _i transmitting element, X _j @Smartphone (terminal device).

Claims (6)

A wireless power transmission system including M power transmitting elements T _i (1 ≦ i ≦ M) and N power receiving elements R _j (1 ≦ j ≦ N), wherein at least one of M and N is plural. And
Using frequency f, the shape characteristic factor c _i of the respective power transmission element T _i, the position p _i and orientation q _i, and the shape characteristic factor c _{j + M} for the power receiving device R _j, the position p _{j + M} and attitude q _{j +} Based on _M , an M × M self-impedance matrix Z _TT representing the self-impedance of each power transmitting element T _i , an N × N self-impedance matrix Z _RR representing the self impedance of each power receiving element R _j , The M × N mutual impedance matrix Z _TR representing the mutual impedance of the power transmitting element T _i and the N power receiving elements R _j , and the mutual impedance of the N power receiving elements R _j and the M power transmitting elements T _i A first arithmetic processing element defining an N × M mutual impedance matrix Z _RT
Based on four impedance matrices Z _TT , Z _RR , Z _TR , and Z _RT determined by the first processing element, the power transmission efficiency η from the M power transmitting elements to the N power receiving elements is represented by a relational expression. A second operation processing element for obtaining M + N eigenvalues λ and a maximum eigenvalue λ _max as a solution to the eigenvalue problem represented by the relational expression (2) according to a model defined as a Rayleigh quotient represented by (1);
The used frequency f output to the first processing element, the shape characteristic factor c _i , the position p _i and the attitude q _{i of} each power transmitting element T _i , and the shape characteristic factor of each power receiving element R _j Of the c _{j + M} , the position p _{j + M} and the posture q _{j + M} , variously changing the unknown designating factor maximizes the maximum eigenvalue λ _max obtained by the second arithmetic processing element. Or a third operation processing element for searching for a solution of the specified factor so as to be equal to or larger than a threshold value.
(" ^H " is a complex conjugate transpose, " ^T " is a transpose, and " ^* " is a complex conjugate matrix.)
The wireless power transmission system according to claim 1,
The third arithmetic processing element, as the designated agent, the designated agent at least one of the position p _{u + M} and attitude q _{u + M} of the at least one power receiving device R _u among the N receiving elements R _j And searching for the solution. The wireless power transmission system according to claim 2,
Wherein the third specification information relating to the solution search by arithmetic processing element, wherein the wireless power, characterized by further comprising a communication device to be transmitted to at least one power receiving device terminal device as a component of R _u Transmission system. The wireless power transmission system according to claim 3,
The third arithmetic processing element, as said specified factor, the position p _{u + M} of the at least one power receiving device R _u searching the solution as the specified factors, the plurality is divided into mutually real space region among them, the wireless power transmission system and generates information indicative of the at least one first actual space region including the position p _{u + M} of the power receiving device R _u as the solution as the specification information. The wireless power transmission system according to any one of claims 1 to 4,
The third arithmetic processing element is represented by an eigenvector corresponding to the maximum eigenvalue obtained by the second arithmetic processing element, and the current of any one of the power transmitting elements T _i and the power receiving elements R _j is within a predetermined range. , The specified factor corresponding to the maximum eigenvalue is excluded from the solution. A wireless power transmission system including M power transmitting elements T _i (1 ≦ i ≦ M) and N power receiving elements R _j (1 ≦ j ≦ N), wherein at least one of M and N is plural. And
Using frequency f, the shape characteristic factor c _i of the respective power transmission element T _i, the position p _i and orientation q _i, and the shape characteristic factor c _{j + M} for the power receiving device R _j, the position p _{j + M} and attitude q _{j +} based on _M, the signals passing through other transmission element T _i1 when the output of each power transmission element signals reflecting the respective power transmission element T _i from T _i when the output signal or signals from the respective power transmission element T _i, a matrix S _TT of M × M representing each receiving elements R signal reflects the respective power receiving devices R _j when the output signal from the _j or other receiving device when the output signals from the respective power receiving devices R _j, R _An N × N matrix S _RR representing signals passing through _j1 and an M × N matrix S _TR representing signals passing through N power receiving elements R _j when signals are output from M power transmitting elements T _i. And an N × M matrix S representing signals that pass through M power transmitting elements T _i when signals are output from N power receiving elements R _{j A} first processing element that defines _RT ;
Based on the four matrices S _TT , S _RR , S _TR , and S _RT determined by the first processing element, the power transmission efficiency η from the M power transmitting elements to the N power receiving elements is determined by each power transmitting element. incident wave to T _i a _Ti, incident wave a _Rj to each power receiving device R _j, the respective power transmission element T _i according to the reflected wave b _Ti and relationship with reflected wave b _Rj by the power receiving device R _j (3) A second operation processing element for obtaining M + N eigenvalues λ and a maximum eigenvalue λ _max as a solution to the eigenvalue problem represented by the relational expression (4) according to a model defined as a Rayleigh quotient represented by
The used frequency f output to the first processing element, the shape characteristic factor c _i , the position p _i and the attitude q _{i of} each power transmitting element T _i , and the shape characteristic factor of each power receiving element R _j Of the c _{j + M} , the position p _{j + M} and the posture q _{j + M} , variously changing the unknown designating factor maximizes the maximum eigenvalue λ _max obtained by the second arithmetic processing element. Or a third operation processing element for searching for a solution of the specified factor so as to be equal to or larger than a threshold value.
(" ^H " is a complex conjugate transpose, " ^T " is a transpose, and " ^* " is a complex conjugate matrix.)