Method of and control system for operating a circuit arrangement of a vehicle

1. A method of operating a circuit arrangement, wherein the circuit arrangement comprises three phase lines, wherein each phase line comprises at least one field receiving arrangement and at least one compensating arrangement with a variable reactance, wherein at least one current-dependent cost function is evaluated, wherein the reactances of each of the at least one compensating arrangements of the three phase lines are varied such that the at least one current-dependent cost function is optimized, wherein the at least one current-dependent cost function comprises at least one term per phase,

wherein the at least one compensating arrangement comprises a capacitive element, wherein each of the at least one compensating arrangements further comprises a first switching element and a second switching element, wherein the first switching element and the second switching element are connected in series, wherein a series connection of the first and the second switching elements is connected in parallel to the capacitive element of the at least one compensating arrangement, and

wherein a reference input of the at least one compensating arrangement is a current phase angle delay, wherein the current phase angle delay defines switching times of the first and second switching elements, and wherein the current phase angle delay denotes a difference between a phase angle of a phase current of a phase line before a zero crossing and a phase angle of the phase current of the phase line at the zero crossing, the method comprising:

changing, in one period of the phase current of the phase line of the three phase lines during which the current phase angle changes from 0° to 360°, the second switching element from a conducting state to a non-conducting state before a first zero crossing based on a difference between the phase angle at the first zero crossing and the phase angle of the phase current being equal to a desired current phase angle delay;

changing the first switching element from a non-conducting state to a conducting state at the first zero crossing;

changing, after the first zero crossing, the first switching element from the conducting state to the non-conducting state based on a difference between the phase angle at a second zero crossing and the phase angle of the phase current being equal to the desired current phase angle delay; and

changing the second switching element from the non-conducting state to the conducting state at the second zero crossing.

2. The method according to claim 1 , wherein at least one reference input of at least one compensating arrangement of at least one phase line is varied such that the at least one current-dependent cost function is optimized.

3. The method according to claim 1 , wherein the current-dependent cost function depends on an amplitude of at least one phase current of at least one phase line.

4. The method according to claim 1 , wherein the circuit arrangement comprises at least one rectifier for rectifying an alternating output voltage generated by the at least one field receiving arrangement, wherein the current-dependent cost function depends on a rectified phase current or depends on an output power of the at least one rectifier.

5. The method according to claim 1 , wherein an optimal reactance of at least one of the at least one compensating arrangements is determined by a one-dimensional optimization method.

6. The method according to claim 5 , wherein the one-dimensional optimization method is a hill-climbing optimization method.

7. The method according to claim 1 , wherein the current-dependent cost function depends on a sum of amplitudes of all phase currents of the three phase lines.

8. The method according to claim 1 , wherein the reactances of each of the at least one compensating arrangements of the three phase lines are varied sequentially.

9. The method according to claim 8 , wherein the reactance of at least one compensating arrangement of at least one phase line is varied for a predetermined number of times.

10. The method according to claim 1 , wherein the reactance of at least one compensating arrangement of at least one phase line is varied after a predetermined time period after a preceding variation of a reactance.

11. A control system for operating a circuit arrangement, wherein the circuit arrangement comprises three phase lines, wherein each phase line comprises at least one field receiving arrangement and at least one compensating arrangement with a variable reactance, wherein the control system comprises:

at least one control unit, and

at least one means for determining at least one parameter depending on a phase current,

wherein at least one current-dependent cost function is evaluatable,

wherein the reactances of each of the at least one compensating arrangements of the three phase lines are variable such that the at least one current-dependent cost function is optimized, wherein the at least one current-dependent cost function comprises at least one term per phase,

wherein the at least one compensating arrangement comprises a capacitive element, wherein each of the at least one compensating arrangements further comprises a first switching element and a second switching element, wherein the first switching element and the second switching element are connected in series, wherein a series connection of the first and the second switching elements is connected in parallel to the capacitive element of the at least one compensating arrangement, and

wherein a reference input of the at least one compensating arrangement is a current phase angle delay, wherein the current phase angle delay defines switching times of the first and second switching elements, and wherein the current phase angle delay denotes a difference between a phase angle of a phase current of a phase line before a zero crossing and a phase angle of the phase current of the phase line at the zero crossing;

wherein the at least one control unit is configured to:

change, in one period of the phase current of the phase line of the three phase lines during which the current phase angle changes from 0° to 360°, the second switching element from a conducting state to a non-conducting state before a first zero crossing based on a difference between the phase angle at the first zero crossing and the phase angle of the phase current being equal to a desired current phase angle delay;

change the first switching element from a non-conducting state to a conducting state at the first zero crossing;

change, after the first zero crossing, the first switching element from the conducting state to the non-conducting state based on a difference between the phase angle at a second zero crossing and the phase angle of the phase current being equal to the desired current phase angle delay; and

change the second switching element from the non-conducting state to the conducting state at the second zero crossing.

12. The control system of claim 11 , further comprising:

at least one rectifier, wherein the at least one current-dependent cost function depends on an output current at terminals of the at least one rectifier or depends on an output power of the at least one rectifier.

13. The control system of claim 12 , wherein the at least one rectifier is connected in series to a series connection of the at least one field receiving arrangement and each of the at least one compensating arrangements of the three phase lines of the circuit arrangement.

14. A method of operating a circuit arrangement, wherein the circuit arrangement comprises three phase lines, wherein each phase line comprises at least one field receiving arrangement and at least one compensating arrangement with a variable reactance, wherein at least one current-dependent cost function is evaluated, wherein the reactances of each of the at least one compensating arrangements of the three phase lines are varied such that the at least one current-dependent cost function is optimized, wherein the at least one current-dependent cost function comprises at least one term per phase, and

wherein the circuit arrangement comprises at least one rectifier for rectifying an alternating output voltage generated by the at least one field receiving arrangement, wherein the at least one current-dependent cost function depends on an output current at terminals of the at least one rectifier or depends on an output power of the at least one rectifier,

wherein the at least one compensating arrangement comprises a capacitive element, wherein each of the at least one compensating arrangements further comprises a first switching element and a second switching element, wherein the first switching element and the second switching element are connected in series, wherein a series connection of the first and the second switching elements is connected in parallel to the capacitive element of the at least one compensating arrangement, and

wherein a reference input of the at least one compensating arrangement is a current phase angle delay, wherein the current phase angle delay defines switching times of the first and second switching elements, and wherein the current phase angle delay denotes a difference between a phase angle of a phase current of a phase line before a zero crossing and a phase angle of the phase current of the phase line at the zero crossing, the method comprising:

changing, in one period of the phase current of the phase line of the three phase lines during which the current phase angle changes from 0° to 360°, the second switching element from a conducting state to a non-conducting state before a first zero crossing based on a difference between the phase angle at the first zero crossing and the phase angle of the phase current being equal to a desired current phase angle delay;

changing the first switching element from a non-conducting state to a conducting state at the first zero crossing;

changing, after the first zero crossing, the first switching element from the conducting state to the non-conducting state based on a difference between the phase angle at a second zero crossing and the phase angle of the phase current being equal to the desired current phase angle delay; and

changing the second switching element from the non-conducting state to the conducting state at the second zero crossing.

15. The method according to claim 14 , wherein the at least one current-dependent cost function depends on the output power of the at least one rectifier, and wherein the output power of the at least one rectifier is calculated based on a product of a DC output voltage of the at least one rectifier and a DC output current of the at least one rectifier.

16. The method according to claim 14 , wherein the at least one current-dependent cost function depends on the output current of the at least one rectifier, wherein the output current of the at least one rectifier comprises a rectified phase current, and wherein the rectified phase current depends on a sum of all phase currents of the three phase lines.

17. The method according to claim 14 , wherein the reactances of each of the at least one compensating arrangements of the three phase lines are varied based on a phase angle delay of each phase current of the three phase lines;

the method further comprising:

controlling the reactances of each of the at least one compensating arrangements of the three phase lines based on a cost function value of the at least one current-dependent cost function that is optimal.