JP7108181B2 - wireless power transmission system - Google Patents

Description

Application of Article 30, Paragraph 2 of the Patent Law Issued on April 20, 2018 IEICE Technical Report of Wireless Power Transfer (WPT), vol. 118, no. 17, WPT2018-3, pp. 9-11, April 2018. IEICE Proceedings Editing Committee

Application of Article 30, Paragraph 2 of the Patent Law Held on April 27, 2018 The Institute of Electronics, Information and Communication Engineers Wireless Power Transmission Study Group (WPT) Tokyo Kikai Shinko Kaikan B2F Room 1

Article 30, Paragraph 2 of the Patent Act applied June 3, 2018 IEEE, IEEE MTT Society WPTC 2018 Conference Polytechnique Montreal (Montreal, Quebec, Canada)

Article 30, Paragraph 2 of the Patent Act applies June 6, 2018 Issued 2018 IEEE, IEEE MTT Conference WPTC2018 Conference Proceedings, No. 1570438467, IEEE WPTC2018 Conference Proceedings Editing Committee

The present invention relates to wireless power transmission technology.

Techniques for maximizing wireless power transmission efficiency 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 transmission element and the power reception element in a one-to-many, multiple-to-one or multiple-to-many combination instead of one-to-one. It is necessary to improve

Accordingly, an object of the present invention is to provide a system capable of improving the efficiency of wireless power transmission between power transmitting elements and power receiving elements in one-to-many, multiple-to-one, or multiple-to-many combinations.

A wireless power transmission system according to a 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), and M and A wireless power transmission system in which at least one of N is a plurality, wherein 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 c _j of each power receiving element R _{j +M} , position p _j+M and attitude 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 self-impedance matrix 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 an N×M mutual impedance matrix Z _RT representing the mutual impedances of the M power transmitting elements T _i , and four impedance matrices Z _TT determined by the first processing element. , Z _RR , Z _TR , and Z _RT , the power transmission efficiency η from the M power transmitting elements to the N power receiving elements is defined as the Rayleigh quotient represented by the relational expression (1). , a second arithmetic processing element that obtains M+N eigenvalues λ and a maximum eigenvalue λ _max as a solution to the eigenvalue problem represented by the relational expression (2), and each of the power transmitting elements T that is output to the first arithmetic processing element Of shape characteristic factor c _i , position p _i and orientation q _i of _i and shape characteristic factor c _j+M , position p _j+M and orientation q _j+M of each power receiving element R _j , unknown a third processing element that searches for a solution of the designated factor that maximizes or exceeds a threshold value the maximum eigenvalue λ _max determined by the second processing element by varying the designated factor; characterized by comprising

（「^H」は複素共役転置行列、「^T」は転置行列、「^*」は複素共役行列を表わす。）

(" ^H " stands for a complex conjugate transposed matrix, " ^T " for a transposed matrix, and " ^* " for a complex conjugate matrix.)

A wireless power transmission system according to a 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), and M and A wireless power transmission system in which at least one of N is a plurality, and includes a working frequency f, a shape characteristic factor c _i of each power transmitting element T _i , a position p _i and an attitude q _i , and a shape of each power receiving element R _j Based on the characteristic factor c _j+M , the position p _j+M , and the orientation q _j+M , when the signal is output from each power transmitting element T _i , the signal reflected by each power transmitting element T _i , or from each power transmitting element T _i An M×M matrix S _TT representing a signal that passes through another power transmitting element T _i1 when a signal is output, and a signal that is reflected by each power receiving element R _j when a signal is output from each power receiving element R _j , or An N×N matrix S _RR representing the signal that passes through the other power receiving element R _j1 when the signal is output from each power receiving element R _j , and the N matrix S RR when the M power transmitting element T _i outputs the signal An M×N matrix S _TR representing signals passing through the power receiving elements R _j , and an N×M matrix representing signals passing through the M power transmitting elements T _i when signals are output from the N power receiving elements R _j . A first processing element that defines a matrix S _RT , and four matrices S _TT , S _RR , S _TR , and S _RT that are determined by the first processing element, from the M power transmitting elements to the N The power transmission efficiency η for the power receiving elements is represented by 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 by each power transmitting element T _i and each power receiving element R According to the model defined as the Rayleigh quotient expressed in relation (3) using the reflected wave b _Rj by _j , M+N eigenvalues λ and the maximum eigenvalue λ a second arithmetic processing element for _{obtaining max} , the working frequency f output to the first arithmetic processing element, the shape characteristic factor c _i , the position p _i and the orientation q _i of each of the power transmitting elements T _i , and Among the shape characteristic factor c _j+M , the position p _j+M and the attitude q _j+M of each power receiving element R _j , by variously changing the unknown designated factors, and a third arithmetic processing element that searches for a solution of the specified factor that maximizes the maximum eigenvalue λ _max obtained or makes it equal to or greater than the threshold.

（「^H」は複素共役転置行列、「^T」は転置行列、「^*」は複素共役行列を表わす。）

(" ^H " stands for a complex conjugate transposed matrix, " ^T " for a transposed matrix, and " ^* " for a complex conjugate matrix.)

According to the wireless power transmission system of the present invention, the operating frequency f, the shape characteristic factor c _i of each power transmitting element T _i , the position p _i and the attitude q _i , and the shape characteristic factor c _j+M of each power receiving element R _j , the position p _j+M and the pose q _j+M are changed differently. As a result, the solution of the specified factor is searched so as to maximize the maximum eigenvalue λ _max as a solution of the eigenvalue problem or to exceed the threshold. This allows one-to-many (where M is singular while N is plural), many-to-one (where M is plural while N is singular) or many-to-many (where M and N are both plural). ), the efficiency of wireless power transmission between the power transmitting element and the power receiving element can be improved.

1 is an explanatory diagram of the configuration of a wireless power transmission system as one embodiment of the present invention; FIG. Explanatory drawing about an example of the calculation method of Z matrix. FIG. 3 is an exemplary diagram of a search solution and a plurality of real space regions including the search solution; FIG. 11 is an explanatory diagram regarding an output form of specified information regarding a search solution;

(Configuration (first embodiment))
A wireless power transmission system as one embodiment of the present invention shown in _FIG . ₁ includes _M power transmitting elements T ₁ , T ₂ , . _N and a server 100 . At least one of "M" and "N" is plural. Each transmitting element T _i (i=1, 2, . . . M) is simulated to be, for example, an annular wire having a circumference c _i as a shape characteristic factor. The position _pi of each power transmitting element T _i is represented by a three-dimensional vector of the center position of the ring, and the attitude q _i of each power transmitting element T _i is represented by a plane vector of the plane on which the ring exists. 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 for controlling the power (current).

Each power receiving element R _j (j=1, 2, . . . N) is simulated to be an annular conductive wire 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 central 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. 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 for 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 and holds data related to the results of arithmetic processing of the first arithmetic processing element 110, the first arithmetic processing element 120, and the third arithmetic processing element 130, as well as software necessary for the arithmetic processing. . The communication device 104 transmits the designation 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 multi-core processors or single-core processors) and assigned arithmetic processing is configured to run That is, the arithmetic processing units constituting each of the first arithmetic processing element 110, the first arithmetic processing element 120, and the third arithmetic processing element 130 store necessary data and software from various memories such as the memory constituting the storage device 102. is programmed or designed to read the data and perform arithmetic processing on the data in accordance with the software.

The first arithmetic processing element 110 calculates the shape characteristic factor c _i , position p _i and attitude q _i of each power transmitting element T _i , and shape characteristic factor c _{j +M} , position p _j+M and Based on the posture 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 are represented by Define an N×M transimpedance matrix Z _RT that represents A matrix of 〇×● means a matrix of 〇 rows×● columns.

Z _TT is determined according to a function of the operating frequency f, the shape characteristic factor c _i of each transmitting element T _i and the arrangement between the transmitting elements. Z _RR is determined according to the function of the operating frequency f and the 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 the working frequencies f, c _k , p _k and q _k (k=1, 2, . . . M, M+1, M+2, . . . M+N).

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 performs calculations of M power transmitting elements T _i to N power receiving elements R According to the model in which the power transfer efficiency η for _j is defined as the Rayleigh quotient expressed in relation (1), M+N eigenvalues λ and the maximum eigenvalue λ _max Ask for

（「^H」は複素共役転置行列、「^T」は転置行列、「^*」は複素共役行列を表わす。）

(" ^H " stands for a complex conjugate transposed matrix, " ^T " for a transposed matrix, and " ^* " for a complex conjugate matrix.)

Each matrix on the left and right sides of relational expression (2) is a Hermitian matrix. The power transfer efficiency η expressed by relational expression (1) is a generalized Rayleigh quotient and has a maximum value η _max . The maximum Rayleigh quotient is equivalent to the maximum eigenvalue of the generalized eigenvalue problem expressed in relation (2).

Here, the process of deriving the relational expression (1) will be described. An M-dimensional transmission voltage vector V _T whose components are voltages of M power transmitting elements, an M-dimensional transmission current vector I _T whose components are currents of M power transmitting elements, and N power receiving elements The relationship between the N-dimensional received voltage vector V _R whose components are the respective voltages and the N-dimensional received current vector I _R whose components are the respective currents of the N receiving elements is represented by relational expressions (5) and (6). ).

Power transfer efficiency η is defined according to relation (7) as the ratio of output voltage P _out to input power P _in .

Input power P _in and output voltage P _out are respectively expressed by relations (8) and (9).

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

Here, R _RR represents an N×N resistance matrix whose elements are the real parts of the N×N self-impedance matrix. R _TT represents an M×M resistance matrix whose elements are the real parts of the M×M self-impedance matrix. Relational expression (1) is obtained by transforming relational expression (10).

The third arithmetic processing element 130 outputs the shape characteristic factor c _i , the position p _i and the orientation q _i of each power transmitting element T _i to the first arithmetic processing element 110, and the shape characteristic of each power receiving element R _j . Maximize the maximum eigenvalue λ _max obtained by the second processing element 120 by variously changing the unknown designated factors among the factors c _j+M , positions p _j+M and orientation q _j+M Search for a solution for the specified factor that does or exceeds the threshold. The third arithmetic processing element 130 calculates the current I=I _T of either each power transmitting element T _i or each power receiving element R _j represented by the eigenvector corresponding to the maximum eigenvalue λ _max obtained by the second arithmetic processing element 120 . , I _R ^T deviates from a predetermined range, the specified factor corresponding to the largest eigenvalue is removed from the solution.

(Function (first embodiment))
For example, as shown in FIG. 1, a plurality of power transmission elements T _i (i=1, 2, . . . M) are installed in a facility, and the shape characteristic factor c _i of each power transmission element T _i and the position p _i and posture _{q i} , current I _i and voltage V _i are known, and _{smartphone X j (} or tablet terminal Consider the case where a mobile terminal (including mobile terminals such as The known factors are stored and held in the storage device 102 .

In this case, by wireless communication (for example, Wi-Fi communication (“Wi-Fi” is a registered trademark)) between the communication device 104 of the server 100 installed in the facility and the smartphone X _j , the power reception of the smartphone X _j is performed. At least the shape characteristic factor c _j+M (and optionally current I _j+M and voltage V _j+M ) of element R _j is known by first processing element 110 of server 100 . In addition, in order to bring the power transmission efficiency η to its maximum value η _max , the unknown position p _j and attitude q _j of the power receiving element R _j are used as specification factors in the third processing element 130 constituting the server 100. finds a solution of the specified factor that maximizes the maximum power transfer efficiency η _max or makes it equal to or greater than the threshold.

Specifically, the third arithmetic processing element 130 tentatively determines the position p _j and the orientation q _j of the power receiving element R _j , which is the designated factor. For example, as shown in FIG. 3, when there are a plurality of real space regions S ₁ to S ₇ constituting target regions for wireless power transmission by a plurality of power transmitting elements T _i , the plurality of real space regions S The position p _j of the power receiving element R _j is tentatively determined so as to be included in any one of ₁ to S ₇ . A plurality of real space regions may be defined as two-dimensional regions like a bird's-eye view, or may be defined as three-dimensional regions including heights.

The position p _j of the power receiving element R _j in the real space is set to discrete coordinate values (latitude and defined by longitude or latitude, longitude and altitude). The attitude q _j of the power receiving element R _j in real space is defined by discrete angles (elevation and azimuth angles, or Euler angles) such as 5°, 10°, or 15°.

Next, known factors (frequency f of electromagnetic waves used for power transmission and reception, shape characteristic factor c _i of each power transmission element T _i , position p _i and attitude q _i , current I _i and voltage V _i , and smart At least the shape characteristic factor c _j+M , the current I _j+M and the voltage V _j+ M of the _power receiving element R _j of the phone X _j , and the tentatively determined unknown factors (position p _j and The four impedance matrices Z _TT , Z _RR , Z _TR , Z _RT are determined by the first processing element 110 ( _see relations (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 power transmitting elements T _i to the power receiving elements R _j . is defined as the Rayleigh quotient represented by the relation (1), the eigenvalue λ and the maximum eigenvalue λ _max are obtained as solutions to the eigenvalue problem represented by the relation (2).

Thereafter, provisional determination of designation factors (position p _j and orientation q _j of power receiving element R _j ) by third arithmetic processing element 130, four impedance matrices Z _TT , Z _RR , Z _TR , Z by first arithmetic processing element 110 The setting of _RT and the derivation of the maximum eigenvalue λ _max by the second processing element 120 are repeated. Temporary determination of the designated factor is repeated so that the maximum eigenvalue λ _max gradually increases in the process of iteration. For example, when the rate of increase of the maximum eigenvalue λ _max over a specified number of times becomes equal to or less than a predetermined value, the maximum eigenvalue λ _max is considered to be maximized, and the specified factor provisionally determined as the basis for the maximum eigenvalue λ _max at that time is may be obtained as a solution. When the maximum eigenvalue λ _max becomes equal to or greater than the threshold value, a specified factor provisionally determined as a basis for the maximum eigenvalue λ _max at that time may be obtained as a solution.

Here, consider a case where the position p _j of the power receiving element R _j as a search solution that maximizes the maximum power transmission efficiency η _max or achieves a value equal to or higher than the threshold is included in the fourth real space region S ₄ . In this case, if the third arithmetic processing element 130 superimposes the map showing the floor plan of the facility on the map, and goes to the _fourth real space area S4 of the facility, the battery installed in the smartphone X _j can be charged. Designation information is generated that includes a message to ensure that the process goes smoothly. The specified information is transmitted to the smartphone X _j 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 X _j as shown in FIG. be. This makes it possible to guide the user of the smart phone X _j to the seat arranged in the fourth real space area S ₄ .

(Configuration (second embodiment))
The wireless power transmission system as the second embodiment of the present invention differs from the first embodiment in the functions of the first arithmetic processing element 110, the second arithmetic processing element 120 and the third arithmetic processing element 130. .

The first arithmetic processing element 110 calculates the operating frequency f, the shape characteristic factor c _i , the position p _i and the orientation q _i of each power transmitting element T _i , and the shape characteristic factor c _j+M and the position p of each power receiving element R _j . A scattering matrix S is defined based on j _+M and pose q _j+M .

The impedance matrix Z of (M+N) rows×(M+N) columns is expressed according to the relational expression (11) using the scattering matrix S of (M+N) rows×(M+N) columns.

In relational expression (11), “S _TT ” is a signal reflected by each power transmitting element T _i when a signal is output from each power transmitting element T _i , or a signal reflected by each power transmitting element T _i when a signal is output from each power transmitting element T i . An M×M matrix representing the signal passing through element T _i1 . “S _RR ” is a signal that is reflected to each power receiving element R _j when a signal is output from each power receiving element R _j , or a signal that passes through another power receiving element R _j1 when a signal is output from each power receiving element R _j It is an N×N matrix representing the signal. “S _TR ” is an M×N matrix representing the signals that pass through the N power receiving elements R _j when the signals are output from the M power transmitting elements T _i . “S _RT ” is an N×M matrix representing the signals that pass through the M power transmitting elements T _i when the signals are output from 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 processing element 110 , the second processing element 120 calculates the values of M power transmitting elements T _i to N power receiving elements R _j . is an incident wave a _Ti to each power transmitting element T _i , an incident wave a _Rj to each power receiving element R _j , a reflected wave b _Ti by each power transmitting element T _i , and a reflected wave by each power receiving element R _j M+N eigenvalues λ and the maximum eigenvalue λ _max are obtained as a solution to the eigenvalue problem represented by the relation (4) according to the model defined as the Rayleigh quotient represented by the relation (3) using b _Rj .

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

（「^H」は複素共役転置行列、「^T」は転置行列、「^*」は複素共役行列を表わす。）

(" ^H " stands for a complex conjugate transposed matrix, " ^T " for a transposed matrix, and " ^* " for a complex conjugate matrix.)

The third arithmetic processing element 130 outputs the operating frequency f to the first arithmetic processing element 110, the shape characteristic factor c _i of each power transmitting element T _i , the position p _i and the orientation q _i , and each power receiving element R _{The maximum eigenvalue λ} Find a solution for the specified factor that maximizes _max or brings it above a threshold.

Here, as shown in FIG. 2, two annular power receiving elements R ₁ and R ₂ included in one plane and another plane parallel to the one plane include Consider, as an example, a situation in which two annular transmitting elements T ₁ and T ₂ are arranged facing 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 perimeter 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 the electromagnetic wave with the frequency f=2 MHz.

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

Here, each element of the scattering matrix S is expressed in a complex form |s _ij | _arg (s _ij ) _. and "∠−179.561" corresponds to the argument arg|s _ij |.

The [Z] matrix data can also be calculated from the [S] matrix of (13) using equation (11). Furthermore, the [S] matrix data of the model shown in FIG. 2 above can also be obtained from measurements using a 4-port network analyzer. In view of the fact that measuring instruments and most electromagnetic field analysis simulators only provide data on the [S] matrix, efficiency calculations using the [S] matrix are considered more concise and practical.

(Function (second embodiment))
According to the wireless power transmission system having the above configuration, as in the first embodiment, provisional determination of designation factors (position p _j and orientation q _j of power receiving element R _j ) by third arithmetic processing element 130, first arithmetic processing The setting of the four matrices S _TT , S _RR , S _TR , S _RT by element 110 and the derivation of the maximum eigenvalue λ _max by the second processing element 120 are repeated. Temporary determination of the designated factor is repeated so that the maximum eigenvalue λ _max gradually increases in the process of iteration.

As described above, when the position p _j of the power receiving element R _j as a search solution that maximizes the maximum power transmission efficiency η _max or achieves a value equal to or greater than the threshold is included in the fourth real space region S ₄ , The third arithmetic processing element 130 superimposes the data on the map showing the floor plan of the facility, and if the _fourth real space area S4 of the facility is entered, the battery installed in the smart phone X _j can be charged smoothly. Designation information is generated that includes a message that the The specified information is transmitted to the smartphone X _j 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 X _j as shown in FIG. be. This makes it possible to guide the user of the smart phone X _j to the seat arranged in the fourth real space area S ₄ .

(Another embodiment of the present invention)
In the above-described embodiment, the position p _j and the orientation q _j of the power receiving element R _j are repeatedly changed as the designated factors, thereby realizing the maximum value η _max of the power transmission efficiency η or achieving a value equal to or greater than the threshold value. A solution has been searched, but other factors may be searched for as unknown specified factors.

For example, the current I _i and the voltage V _i of each power transmission element T _i are unknown as the designated factors, and other factors (the frequency f of the signal (electromagnetic wave) used for transmission and reception, the shape characteristic factor c _i of each power transmission element T _i , position p _i and orientation q _i , and shape characteristic factor c _j+M , position p _j+M , orientation q _j+M , current I _j+M and voltage V of power receiving element R _j of smart phone X _{j j+M} ) is known, a solution that achieves the maximum value η _max of the power transfer efficiency η or achieves a value above the threshold may be searched.

100 Server 102 Storage device 104 Communication device 110 First arithmetic processing element 120 Second arithmetic processing element 130 Third arithmetic processing element R _j Power receiving element _Ti Transmitting element X _j . . . smart phone (terminal device).

Claims (6)

A wireless power transmission system comprising 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
Use frequency f, shape characteristic factor c _i , position p _i and attitude q _i of each power transmitting element T _i , and shape characteristic factor c _j+M , position p _j+M and attitude q _j+ of each power receiving element R _{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 , and the M An 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 are a first processing element that defines an N×M transimpedance matrix Z _RT that represents
Based on the four impedance matrices Z _TT , Z _RR , Z _TR , and Z _RT determined by the first arithmetic processing element, the power transmission efficiency η from the M power transmitting elements to the N power receiving elements is expressed by the relational expression a second processing element that obtains M+N eigenvalues λ and the maximum eigenvalue λ _max as a solution to the eigenvalue problem represented by the relational expression (2) according to the model defined as the Rayleigh quotient represented by (1);
The working frequency f output to the first arithmetic processing element, the shape characteristic factor c _i , the position p _i and the attitude q _i of each of the power transmitting elements T _i , and the shape characteristic factor of each of the power receiving elements R _j maximizing the maximum eigenvalue λ _max obtained by the second arithmetic processing element by varying the unknown specified factors among c _j+M , position p _j+M and attitude q _j+M or a third arithmetic processing element that searches for a solution of the specified factor that makes the specified factor equal to or higher than the threshold.

(" ^H " stands for a complex conjugate transposed matrix, " ^T " for a transposed matrix, and " ^* " for a complex conjugate matrix.)

In the wireless power transmission system according to claim 1,
The third arithmetic processing element sets at least one of a position p _{u +M} and an orientation q _u+M of at least one power receiving element Ru among the N power receiving elements R _j as the specifying factor. A wireless power transmission system, wherein the solution is searched for as In the wireless power transmission system according to claim 2,
Wireless power, further comprising a communication device that transmits specification information about the solution searched by the third arithmetic processing element to a terminal device that includes the at least one power receiving element _Ru as a component transmission system. In the wireless power transmission system according to claim 3,
The third arithmetic processing element searches for the solution using the position p _{u +M} of the at least one power receiving element Ru as the specifying factor, and searches for the solution using a plurality of real space regions separated from each other. A wireless power transmission system, wherein information indicating one real space region including the position p _{u +M} of the at least one power receiving element Ru as the solution is generated as the designation information. In the wireless power transmission system according to any one of claims 1 to 4,
The current of either the power transmitting element T _i or the power receiving element R _j represented by the eigenvector corresponding to the maximum eigenvalue obtained by the second processing element is within a predetermined range. , the specified factor corresponding to the maximum eigenvalue is excluded from the solution. A wireless power transmission system comprising 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
Use frequency f, shape characteristic factor c _i , position p _i and attitude q _i of each power transmitting element T _i , and shape characteristic factor c _j+M , position p _j+M and attitude q _j+ of each power receiving element R _j Based on _M , a signal reflected by each power transmitting element T _i when a signal is output from each power transmitting element T _i or a signal passing through another power transmitting element T _i1 when a signal is output from each power transmitting element T _i and a signal reflected by each power receiving element R _j when a signal is output from each power receiving element R _j , or another power receiving element R _when a signal is output from each power receiving element R _j An N×N matrix S _RR representing signals passing through _j1 and an M×N matrix S _TR representing signals passing through N receiving elements R _j when signals are output from M transmitting elements T _i and an N×M matrix S _RT representing the signals that pass through the M power transmitting elements T _i when the signals are output from 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, the power transmission efficiency η from the M power transmitting elements to the N power receiving elements is determined by each power transmitting element. Using the incident wave a Ti to _Ti , the incident wave a _Rj to each power receiving element R _j , the reflected wave b _Ti by each power transmitting element Ti, and the reflected wave b _Rj by each _{power receiving element R j , the} relational expression (3) a second processing element that obtains M+N eigenvalues λ and the maximum eigenvalue λ _max as a solution of the eigenvalue problem represented by the relational expression (4) according to the model defined as the Rayleigh quotient represented by
The working frequency f output to the first arithmetic processing element, the shape characteristic factor c _i , the position p _i and the attitude q _i of each of the power transmitting elements T _i , and the shape characteristic factor of each of the power receiving elements R _j maximizing the maximum eigenvalue λ _max obtained by the second arithmetic processing element by varying the unknown specified factors among c _j+M , position p _j+M and attitude q _j+M or a third arithmetic processing element that searches for a solution of the specified factor that makes the specified factor equal to or higher than the threshold.

(" ^H " stands for a complex conjugate transposed matrix, " ^T " for a transposed matrix, and " ^* " for a complex conjugate matrix.)

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