Systems and methods for compensating for electrical converter nonlinearities

1. An electrical system comprising:

an input interface;

an output interface;

a first energy conversion module coupled between the input interface and the output interface, the first energy conversion module including one or more switching elements; and

a control module coupled to the first energy conversion module, the input interface, and the output interface, wherein the control module is configured to:

determine a duty cycle control value for operating the first energy conversion module to produce a desired voltage at the output interface;

determine an input power error at the input interface;

adjust the duty cycle control value in a manner that is influenced by the input power error, resulting in a compensated duty cycle control value; and

operate the one or more switching elements of the first energy conversion module to deliver energy to the output interface with a duty cycle that is influenced by the compensated duty cycle control value.

2. The electrical system of claim 1 , wherein the control module is configured to:

determine a compensation scaling factor based on the input power error; and

multiply the duty cycle control value by the compensation scaling factor to obtain the compensated duty cycle control value.

3. The electrical system of claim 2 , wherein the control module is configured to determine the input power error by:

determining an input power reference for the input interface based on the desired voltage at the output interface and a measured voltage at the output interface;

estimating input power at the input interface, resulting in an estimated input power at the input interface; and

determining a difference between the input power reference and the estimated input power.

4. The electrical system of claim 3 , further comprising:

an inductive element coupled between the input interface and the first energy conversion module; and

a capacitive element coupled between the input interface and the inductive element, the capacitive element being configured electrically parallel to the input interface.

5. The electrical system of claim 4 , wherein the control module is configured to determine the duty cycle control value by:

determine an inductor current reference based on the input power reference;

determine an input voltage reference based on a difference between the inductor current reference and a measured current through the inductive element; and

divide the input voltage reference by a measured voltage at the output interface to obtain the duty cycle control value.

6. The electrical system of claim 1 , further comprising:

a second energy conversion module coupled to the output interface; and

an isolation module coupled between the first energy conversion module and the second energy conversion module, the isolation module providing galvanic isolation between the first energy conversion module and the second energy conversion module.

7. The electrical system of claim 6 , further comprising:

an inductive element coupled between the input interface and the first energy conversion module; and

a capacitive element coupled between the input interface and the inductive element, the capacitive element being configured electrically parallel to the input interface.

8. The electrical system of claim 7 , wherein the first energy conversion module comprises a matrix conversion module.

9. The electrical system of claim 8 , wherein the matrix conversion module comprises:

a first node;

a second node;

a third node;

a fourth node;

a first switching element coupled between the first node and the third node, the first switching element being configured to allow current from the third node to the first node when the first switching element is closed;

a second switching element coupled between the first switching element and the third node, the second switching element being configured to allow current from the first node to the third node when the second switching element is closed;

a third switching element coupled between the first node and the fourth node, the third switching element being configured to allow current from the fourth node to the first node when the third switching element is closed;

a fourth switching element coupled between the third switching element and the fourth node, the fourth switching element being configured to allow current from the first node to the fourth node when the fourth switching element is closed;

a fifth switching element coupled between the second node and the fourth node, the fifth switching element being configured to allow current from the second node to the fourth node when the fifth switching element is closed;

a sixth switching element coupled between the fifth switching element and the second node, the sixth switching element being configured to allow current from the fourth node to the second node when the sixth switching element is closed;

a seventh switching element coupled between the second node and the third node, the seventh switching element being configured to allow current from the second node to the third node when the seventh switching element is closed; and

an eighth switching element coupled between the seventh switching element and the second node, the eighth switching element being configured to allow current from the third node to the second node when the eighth switching element is closed.

10. The electrical system of claim 9 , wherein:

the inductive element is coupled electrically in series between the first node of the matrix conversion module and a first input node of the input interface;

the second node of the matrix conversion module is coupled to a second input node of the input interface;

the capacitive element is coupled between the first input node and the second input node;

the isolation module comprises a first set of windings coupled between the third node and the fourth node and a second set of windings coupled to the second energy conversion module, the second set of windings being magnetically coupled to the first set of windings; and

the control module is configured to operate the first switching element, the second switching element, the third switching element, the fourth switching element, the fifth switching element, the sixth switching element, the seventh switching element, and the eighth switching element to deliver energy to the output interface with the duty cycle corresponding to the duty cycle control value.

11. The electrical system of claim 10 , wherein the control module is configured to:

determine an input power reference for the input interface based on the desired voltage at the output interface and a measured voltage at the output interface;

determine an estimated input power at the input interface;

determine a compensation scaling factor based on a difference between the input power reference and the estimated input power; and

multiply the duty cycle control value by the compensation scaling factor to obtain the compensated duty cycle control value.

12. A method for delivering energy from an input interface to an output interface using an energy conversion module coupled between the input interface and the output interface, the energy conversion module including one or more switching elements coupled to an inductive element, the method comprising:

determining an input power reference for the input interface based on a desired output voltage at the output interface;

determining a duty cycle control value based on the input power reference;

determining an input power error based on a difference between an estimated input power at the input interface and the input power reference;

adjusting the duty cycle control value in a manner that is influenced by the input power error to obtain a compensated duty cycle control value; and

operating the one or more switching elements to deliver energy from the input interface to the output interface with a duty cycle influenced by the compensated duty cycle control value.

13. The method of claim 12 , further comprising determining a compensation scaling factor based on the input power error, wherein adjusting the duty cycle control value comprises multiplying the duty cycle control value by the compensation scaling factor to obtain the compensated duty cycle control value.

14. The method of claim 13 , further comprising determining the estimated input power based at least in part on a measured current through the inductive element and a measured voltage at the input interface.

15. The method of claim 14 , wherein determining the duty cycle control value comprises:

determining an inductor current reference based on the input power reference;

determining an input voltage reference based on a difference between the inductor current reference and the measured current through the inductive element; and

dividing the input voltage reference by a measured voltage at the DC interface to obtain the duty cycle control value.

16. The method of claim 15 , wherein determining the estimated input power comprises multiplying the measured voltage at the input interface by a sum of a measured current through the inductive element and a measured current through a capacitive element, the capacitive element being configured electrically parallel to the input interface.

17. The method of claim 12 , the duty cycle corresponding to one minus the compensated duty cycle control value, wherein operating the one or more switching elements to deliver energy from the input interface to the output interface with the duty cycle comprises:

determining pulse-width modulation (PWM) command signals for operating the one or more switching elements to deliver energy from the AC energy source to the DC energy source for a percentage of a switching interval, the percentage being equal to the duty cycle; and

operating the one or more switching elements in accordance with the PWM command signals.

18. An electrical system comprising:

a direct current (DC) interface;

an alternating current (AC) interface;

an isolation module including a first set of windings magnetically coupled to a second set of windings;

a first energy conversion module coupled between the DC interface and the first set of windings;

a second conversion module coupled to the second set of windings, the second conversion module including a plurality of switches;

an inductive element coupled between the second conversion module and the AC interface; and

a control module coupled to the second conversion module, wherein the control module is configured to:

determine an input power reference for producing a desired voltage at the DC interface based on the desired voltage and a measured voltage at the DC interface;

determine an input power error at the AC interface based on a difference between an estimated input power at the AC interface and the input power reference;

determine a compensated pulse-width modulation (PWM) duty cycle control value for operating the first energy conversion module based on the input power reference and the input power error; and

operate the plurality of switches of the second conversion module in accordance with the compensated PWM duty cycle control value.

19. The electrical system of claim 18 , further comprising a capacitive element coupled between the AC interface and the inductive element, the capacitive element being configured electrically parallel to the AC interface, wherein the control module is configured to determine the estimated input power at the AC interface based on a measured voltage at the AC interface, a measured current thought the inductive element, and a measured current through the capacitive element.

20. The electrical system of claim 19 , wherein the control module is configured to:

determine an uncompensated PWM duty cycle control value based on the input power reference;

determine a compensation scaling factor based on the input power error; and

multiply the uncompensated PWM duty cycle control value by the compensation scaling factor to obtain the compensated PWM duty cycle control value.