# US 11,114,964 B2 · Method for determining a direct-axis inductance and a quadrature-axis inductance of an electric machine, corresponding computer program and device

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- Number: US 11,114,964 B2
- Document ID: US11114964B2
- Status: Granted
- Kind: B2
- Application number: 16/472,188
- Filed: 2017-12-21
- Published: 2020-12-10
- Granted: 2021-09-07
- Earliest claimed: 2016-12-21
- Assignees: Valeo Systemes de Controle Moteur
- Applicants: Valeo Systemes De Controle Moteur
- Inventors: Wided Zine; Antoine Bruyere; Pierre-Alexandre Chauvenet
- Web page: https://patentgrep.com/patent/US11114964B2

## CPC

- H02P 21/14: Estimation or adaptation of machine parameters, e.g. flux, current or voltage
- H02P 21/22: Current control, e.g. using a current control loop
- H02P 21/18: Estimation of position or speed
- H02P: CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS

## Abstract

A method for determining a direct inductance and a quadrature inductance of an electrical machine is included. The method includes controlling the electrical machine so that a stator generates a first magnetic field rotating at a first rotation frequency to rotationally drive a rotor of the electrical machine, and a second magnetic field that varies periodically at a second frequency for measuring a portion of the phase currents flowing through the stator windings of the electrical machine during controlling of the electrical machine. The method further includes determining an amplitude spectrum of a given electrical quantity determined based on a portion of the phase currents, searching in the amplitude spectrum for a peak present at a frequency that is dependent on the second frequency, determining an amplitude of each peak found, and determining the direct inductance and the quadrature inductance from the amplitudes of two peaks found.

## Claims

### Claim 1

A method for determining a direct inductance and a quadrature inductance of an electrical machine, the method comprising:
at least one testing step comprising:
controlling the electrical machine so that a stator of the electrical machine generates a magnetic field comprising:
a first magnetic field rotating at a first rotation frequency, so as to rotationally drive a rotor of the electrical machine, and
a second magnetic field, called test magnetic field, that varies periodically at a second frequency, called test frequency,
measuring at least one portion of the phase currents flowing through the stator windings of the electrical machine during controlling of the electrical machine,
determining an amplitude spectrum of a given electrical quantity determined on the basis of at least one portion of the phase currents,
searching in the amplitude spectrum for at least, one peak present at a frequency that is dependent on the test frequency,
determining an amplitude of each peak found,
determining the direct inductance and the quadrature inductance from the amplitudes of two peaks found in the one or more testing steps.

### Claim 2 (depends on 1)

The method of claim 1, wherein the test frequency is greater than the rotation frequency, preferably ten times greater.

### Claim 3 (depends on 1)

The method of claim 1, wherein the at least one testing step comprises a first testing step wherein the test magnetic field varies only in a direct direction of the first magnetic field.

### Claim 4 (depends on 3)

The method of claim 3, wherein, during the first testing step, a peak is sought at a sum of the rotation frequency and the test frequency.

### Claim 5 (depends on 3)

The method of claim 3, wherein, during the first testing step, controlling of the electrical machine comprises:
determining the phase voltage setpoints, called global setpoints, said global setpoints comprising setpoints, called testing setpoints, of which the application to the stator phase windings of the electrical machine configured to generate the test magnetic field, the testing setpoints comprising a component in a direct direction, which is sinusoidal to the test frequency, and a component in the quadrature direction, which is zero,
applying the global setpoints, respectively to the stator phase windings of the electrical machine.

### Claim 6 (depends on 5)

The method of claim 5, wherein the direct inductance is determined with the following equation:
L
d
=
V
h
4
⁢
π
⁢
f
h
⁢
I
pul
where:
Ipul is the amplitude of the peak found at the sum of the rotation frequency and at the test frequency,
vh and fh are respectively the amplitude, and the frequency of the sinusoidal component in the direct direction of the testing setpoints.

### Claim 7 (depends on 6)

The method of claim 6, wherein, during the second testing step, a peak is sought at the test frequency.

### Claim 8 (depends on 7)

The method of claim 7, wherein the two components of the testing setpoints have the same test amplitude, and wherein the quadrature inductance is determined by the following equation:
L
q
=
-
V
h
-
4
⁢
π
⁢
⁢
f
h
⁢
I
rot
+
V
h
L
d
where:
Irot is the amplitude of the peak found at the test frequency,
Vh and fh are respectively the amplitude and the frequency of the two components of the testing setpoints.

### Claim 9 (depends on 1)

The method of claim 1, wherein the at least one testing step comprises a second testing step wherein the test magnetic field is a magnetic field rotating at the test frequency.

### Claim 10 (depends on 9)

The method of claim 9, wherein, during the second testing step, controlling of the electrical machine comprises the determination of the global setpoints of the phase voltages comprising testing setpoints, the application of which to the stator phase windings is configured to generate the test magnetic field, these testing setpoints comprising a component along a first axis of a fixed reference with respect to the stator, which is sinusoidal to the test frequency, and a component along a second axis of the fixed reference, which is co-sinusoidal to the test, frequency.

### Claim 11 (depends on 1)

A computer program that can be downloaded from a communication network and/or stored on a support that is readable by a computer and/or executable by a processor, wherein it comprises instructions for the execution of the steps of the method according to claim 1, when said program is executed on a computer.

### Claim 12

A device for determining a direct inductance and a quadrature, inductance of an electrical machine, the device comprising:
a control module of an inverter designed to respectively provide phase voltages to the stator phase windings of the electrical machine, such that a stator of the electrical machine generates a magnetic field comprising:
a first magnetic field rotating at a rotation frequency, so as to rotationally drive a rotor (104) of the electrical machine, and
a second magnetic field, called test magnetic field, that varies periodically at a second frequency, called test frequency,
a module for determining an amplitude spectrum with an electrical quantity determined from at least one portion of the phase currents flowing through the stator phase windings of the electrical machine during control of the electrical machine,
a module for searching in the amplitude spectrum for at least one peak present at a frequency that is dependent on the test frequency and for determining an amplitude for each peak found,
a module designed to determine the direct inductance and the quadrature inductance based on the amplitudes of the two peaks found.