Contactless power transfer system, contactless power transfer device, contactless power transfer program and contactless power transfer method

A contactless power transfer system comprising:

• N parent device power transmission units (N is an integer equal to or more than 2);
• at least one child device power reception unit;
• and
• a distribution determination unit configured to determine an electrical signal to be supplied to the N parent device power transmission units, wherein
• the electrical signal has a current, a voltage or a linear combination amount of the current and the voltage as a component,
• in case that an N-dimensional vector having the electrical signal to be supplied to each parent device power transmission unit as a component is X, the distribution determination unit is configured to set a matrix A as a regularized Hermitian matrix of N rows×N columns, and
• {tilde over (X)}*AX (1)
• in case that a scalar of Equation (1) (˜ denotes a transposed matrix and * denotes a complex conjugate) is non-negative, a quadratic form matrix of the electrical signal in case that the child device power reception unit functions is a matrix B which expresses dissipation of energy and which is Hermite of N rows×N columns having a coefficient thereof as a component, a scalar of Equation (2) expresses energy consumption,
• {tilde over (X)}*BX (2)
• and the matrix A is expressed as shown in Equation (3),
• A={tilde over (C)}*C (3)
• the distribution determination unit is configured to determine the electrical signal to be proportional to a component of a vector C−1Y obtained by multiplying a linear combination of an eigenvector Y for a non-zero eigenvalue of a matrix D expressed by Equation (4) by the matrix C−1 from the left.
• D={tilde over (C)}*−1BC−1 (4)

A contactless power transfer system comprising:

• N parent device power transmission units (N is an integer equal to or more than 2);
• at least one child device power reception unit;
• and
• a distribution determination unit configured to determine an electrical signal to be supplied to the N parent device power transmission units, wherein
• the electrical signal has a current, a voltage or a linear combination amount of the current and the voltage as a component, and
• the distribution determination unit is configured to determine the electrical signal to be supplied to the N parent device power transmission units to be proportional to a component of an eigenvalue vector for a non-zero eigenvalue of a matrix B of a real part of an impedance matrix or a real part of an admittance matrix in case that there is the child device power reception unit.

A contactless power transfer device comprising:

• N parent device power transmission units (N is an integer equal to or more than 2);
• at least one child device power reception unit;
• and
• a distribution determination unit configured to determine an electrical signal to be supplied to the N parent device power transmission units, wherein
• the electrical signal has a current, a voltage or a linear combination amount of the current and the voltage as a component,
• in case that an N-dimensional vector of N rows×1 column having the electrical signal to be supplied to each parent device power transmission unit as a component is X, the distribution determination unit is configured to set a matrix A as a regularized Hermitian matrix of N rows×N columns, and
• {tilde over (X)}*AX (5)
• in case that a scalar of Equation (5) (˜ denotes a transposed matrix and * denotes a complex conjugate) is non-negative, a quadratic form matrix of the electrical signal in case that the child device power reception unit functions is a matrix B which expresses dissipation of energy and which is Hermite of N rows×N columns having a coefficient thereof as a component, a scalar of Equation (6) expresses energy consumption,
• {tilde over (X)}*BX (6)
• and the matrix A is expressed as shown in Equation (7),
• A={tilde over (C)}*C (7)
• the distribution determination unit is configured to determine the electrical signal to be proportional to a component of a vector C−1Y obtained by multiplying a linear combination of an eigenvector Y for a non-zero eigenvalue of a matrix D expressed by Equation (8) by the matrix C−1 from the left.
• D={tilde over (C)}*−1BC−1 (8)

A contactless power transfer device comprising:

• N parent device power transmission units (N is an integer equal to or more than 2);
• at least one child device power reception unit;
• and
• a distribution determination unit which configured to determine an electrical signal to be supplied to the N parent device power transmission units, wherein
• the electrical signal has a current, a voltage or a linear combination amount of the current and the voltage as a component, and
• the distribution determination unit is configured to determine the electrical signal to be supplied to the N parent device power transmission units to be proportional to a component of an eigenvalue vector for a non-zero eigenvalue of a matrix B of a real part of an impedance matrix or a real part of an admittance matrix in case that there is the child device power reception unit.

A non-transitory computer-readable recording medium storing a contactless power transfer program for causing a computer of a contactless power transfer device of a contactless power transfer system in which an electrical signal has a current, a voltage or a linear combination amount of the current and the voltage as a component and which comprises N parent device power transmission units (N is an integer equal to or more than 2), at least one child device power reception unit, and a distribution determination unit which determines the electrical signal to be supplied to the N parent device power transmission units to execute a procedure in which:

• in case that an N-dimensional vector of N rows×1 column having the electrical signal to be supplied to each parent device power transmission unit as a component is X, the distribution determination unit sets a matrix A as a regularized Hermitian matrix of N rows×N columns, and
• {tilde over (X)}*AX (9)
• in case that a scalar of Equation (9) (˜ denotes a transposed matrix and * denotes a complex conjugate) is non-negative, a quadratic form matrix of the electrical signal in case that the child device power reception unit functions is a matrix B which expresses dissipation of energy and which is Hermite of N rows×N columns having a coefficient thereof as a component, a scalar of Equation (10) expresses energy consumption,
• {tilde over (X)}*BX (10)
• and the matrix A is expressed as shown in Equation (11),
• A={tilde over (C)}*C (11)
• the distribution determination unit determines the electrical signal to be proportional to a component of a vector C−1Y obtained by multiplying a linear combination of an eigenvector Y for a non-zero eigenvalue of a matrix D expressed by Equation (12) by the matrix C−1 from the left.
• D={tilde over (C)}*−1BC−1 (12)

A contactless power transfer method in a contactless power transfer device of a contactless power transfer system in which an electrical signal has a current, a voltage or a linear combination amount of the current and the voltage as a component and which comprises N parent device power transmission units (N is an integer equal to or more than 2), at least one child device power reception unit, and a distribution determination unit which determines an electrical signal to be supplied to the N parent device power transmission units, the contactless power transfer method comprising:

• a procedure in which, in case that an N-dimensional vector of N rows×1 column having the electrical signal to be supplied to each parent device power transmission unit as a component is X, the distribution determination unit sets a matrix A as a regularized Hermitian matrix of N rows×N columns, and
• {tilde over (X)}*AX (13)
• in case that a scalar of Equation (13) (˜ denotes a transposed matrix and * denotes a complex conjugate) is non-negative, a quadratic form matrix of the electrical signal in case that the child device power reception unit functions is a matrix B which expresses dissipation of energy and which is Hermite of N rows×N columns having a coefficient thereof as a component, a scalar of Equation (14) expresses energy consumption,
• {tilde over (X)}*BX (14)
• and the matrix A is expressed as shown in Equation (15),
• A={tilde over (C)}*C (15)
• the distribution determination unit determines the electrical signal to be proportional to a component of a vector C−1Y obtained by multiplying a linear combination of an eigenvector Y for a non-zero eigenvalue of a matrix D expressed by Equation (16) by the matrix C−1 from the left.
• D={tilde over (C)}*−1BC−1 (16)