Method and arrangement for determining inductances of synchronous reluctance machine

1. A method of determining inductances of a synchronous reluctance machine, comprising:

supplying a voltage pulse in the quadrature-axis or direct-axis direction of a rotor;

sampling currents generated by the supplied voltage pulse;

calculating values of flux at instants of the sampling from the value of the supplied voltage pulse, values of the sampled current, and a value of a stator resistance;

calculating at least one of (i) a synchronous inductance of the machine by dividing the calculated flux values by the corresponding sampled currents, and (ii) a transient inductance of the machine as a derivative of the flux with respect to current; and

storing the calculated values as a function of current.

2. A method according to claim 1 , comprising:

determining a position of the rotor before determining the inductances of the machine.

3. A method according to claim 1 , comprising:

fitting the calculated synchronous inductances to a function, which gives the values of the synchronous inductances as a function of current.

4. A method according to claim 3 , wherein the transient inductance is calculated as a derivative of the function, which gives the values of the synchronous inductances as a function of current.

5. A method according to claim 1 , comprising:

turning the rotor of the machine to a known position before determining the inductances of the machine.

6. A method according to claim 5 , wherein the known position is the direction of the x or y axis of the stator.

7. A method according to claim 1 , comprising:

magnetizing the rotor in a direction perpendicular to a direction of the voltage pulse before supplying the voltage pulse in the quadrature-axis or direct-axis direction of the rotor for obtaining inductance values with cross saturation.

8. A method according to claim 7 , wherein the magnetization comprises:

selecting a current reference for cross magnetization;

supplying voltage in a selected direction;

measuring current produced by the voltage; and

controlling the current to the current reference for the duration of a pulse test.

9. A method according to claim 8 , comprising:

determining a position of the rotor before determining the inductances of the machine.

10. A method according to claim 8 , comprising:

fitting the calculated synchronous inductances to a function, which gives the values of the synchronous inductances as a function of current.

11. A method according to claim 10 , wherein the transient inductance is calculated as a derivative of the function, which gives the values of the synchronous inductances as a function of current.

12. A method according to claim 8 , comprising:

turning the rotor of the machine to a known position before determining the inductances of the machine.

13. A method according to claim 12 , wherein the known position is the direction of the x or y axis of the stator.

14. A method according to claim 7 , wherein the magnetization comprises:

selecting a flux reference for the cross magnetization;

supplying voltage in a selected direction;

measuring current produced by the voltage;

calculating the flux caused by the voltage from the value of the supplied voltage pulse, the sampled current values and the value of the stator resistance; and

controlling the flux to the flux reference for the duration of the pulse test.

15. A method according to claim 14 , comprising:

determining a position of the rotor before determining the inductances of the machine.

16. A method according to claim 4 , comprising:

fitting the calculated synchronous inductances to a function, which gives the values of the synchronous inductances as a function of current.

17. A method according to claim 16 , wherein the transient inductance is calculated as a derivative of the function, which gives the values of the synchronous inductances as a function of current.

18. A method according to claim 14 , comprising:

turning the rotor of the machine to a known position before determining the inductances of the machine.

19. A method according to claim 18 , wherein the known position is the direction of the x or y axis of the stator.

20. An arrangement of determining inductances of a synchronous reluctance machine, the arrangement comprising:

means for supplying a voltage pulse in the quadrature-axis or direct-axis direction of a rotor;

means for sampling currents generated by the supplied voltage pulse;

means for calculating values of flux at instances of the sampling from the value of the supplied voltage pulse, values of the sampled current, and a value of a stator resistance;

means for calculating at least one of (i) a synchronous inductance of the machine by dividing the calculated flux values by the corresponding sampled currents, and (ii) a transient inductance of the machine as a derivative of the flux with respect to current; and

means for storing the calculated values as a function of current.

21. A non-transitory computer-readable recording medium having a computer-readable program recorded thereon that causes a processor of a computer processing device to determine inductances of a synchronous reluctance machine, the program causing the processor to carry out operations comprising:

supplying a voltage pulse in the quadrature-axis or direct-axis direction of a rotor;

sampling currents generated by the supplied voltage pulse;

calculating values of flux at instants of the sampling from the value of the supplied voltage pulse, values of the sampled current, and a value of a stator resistance;

calculating at least one of (i) a synchronous inductance of the machine by dividing the calculated flux values by the corresponding sampled currents, and (ii) a transient inductance of the machine as a derivative of the flux with respect to current; and

storing the calculated values as a function of current.