# US 8,786,230 B2 · Apparatus and method of estimating inductance of permanent magnet synchronous motor

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- Number: US 8,786,230 B2
- Document ID: US8786230B2
- Status: Granted
- Kind: B2
- Application number: 13/137,309
- Filed: 2011-08-04
- Published: 2012-08-02
- Granted: 2014-07-22
- Earliest claimed: 2011-02-01
- Assignees: Samsung Electronics Co., Ltd.; Snu R&Db Foundation
- Applicants: Dong Hwan Lee; Young Jae Park; Yong Soon Park; Seung Ki Sul
- Inventors: Dong Hwan Lee; Young Jae Park; Yong Soon Park; Seung Ki Sul
- Web page: https://patentgrep.com/patent/US8786230B2

## CPC

- H02P 6/18: without separate position detecting elements
- H02P: CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS

## Abstract

A method of estimating inductance of a permanent magnet synchronous motor (PMSM) includes injecting a signal having a frequency differing from an operating frequency of the PMSM into the PMSM during sensorless operation, sensing magnitudes of current responses to the injected signal, and estimating an inductance value at which the magnitude of the sensed current response is minimal to be an actual inductance value of the PMSM, thereby estimating inductance used in the PMSM regardless of position estimation error of the PMSM and thus more accurately and reliably estimating inductance of the PMSM.

## Claims

### Claim 1

A method of estimating inductance of a permanent magnet synchronous motor (PMSM) comprising:
injecting a random signal into one axis of a rotor coordinate system of the PMSM during sensorless operation;
changing an inductance value used in control of the PMSM plural times during injection of the signal;
respectively sensing current responses to the injected signal during change of inductance plural times; and
detecting the inductance value based on magnitudes of the sensed current responses, and judging the detected inductance value to be an actual inductance value of the PMSM.

### Claim 2 (depends on 1)

The method according to claim 1, wherein the injection of the random signal includes injecting a voltage signal.

### Claim 3 (depends on 2)

The method according to claim 2, wherein the injection of the voltage signal includes injecting the voltage signal into the q-axis of the rotor coordinate system.

### Claim 4 (depends on 3)

The method according to claim 3, wherein the sensing of the current responses includes sensing d-axis current responses to the voltage signal injected into the q-axis.

### Claim 5 (depends on 1)

The method according to claim 1, wherein the detection of the inductance value based on the magnitudes of the sensed current responses includes:
comparing the magnitudes of the sensed current responses to each other; and
detecting an inductance value at which the magnitude of the sensed current response is minimal as a result of the comparison.

### Claim 6 (depends on 1)

The method according to claim 1, wherein the injection of the random signal includes injecting a signal having a frequency differing from an operating frequency of the PMSM.

### Claim 7

A method of estimating inductance of a permanent magnet synchronous motor (PMSM) comprising:
injecting a random signal into one axis of a rotor coordinate system of the PMSM during sensorless operation;
sensing change of current response to the injected signal while changing an inductance value used in control of the PMSM plural times during injection of the signal; and
detecting an actual inductance value of the PMSM based on the sensed change of the current response.

### Claim 8 (depends on 7)

The method according to claim 7, wherein the injection of the random signal includes injecting a voltage signal into the q-axis of the rotor coordinate system.

### Claim 9 (depends on 8)

The method according to claim 8, wherein the sensing of the change of the current response includes sensing change of d-axis current response to the voltage signal injected into the q-axis.

### Claim 10 (depends on 7)

The method according to claim 7, wherein the detection of the inductance value includes:
detecting an inductance value used in control of the PMSM when the change of the current response is minimal; and
judging the detected inductance value to be the actual inductance value of the PMSM.

### Claim 11 (depends on 7)

The method according to claim 7, wherein the injection of the random signal includes injecting a signal having a frequency differing from an operating frequency of the PMSM.

### Claim 12

An apparatus of estimating inductance of a permanent magnet synchronous motor (PMSM) comprising:
an inverter to drive the PMSM;
a current measurement unit to measure phase current of the PMSM; and
an inductance estimation unit to inject a random signal into the axis of a rotor coordinate system of the PMSM during sensorless operation, change an inductance value used in control of the PMSM plural times during injection of the signal, respectively sense current responses to the injected signal during change of inductance plural times, detect the inductance value based on magnitudes of the sensed current responses, and judge the detected inductance value to be an actual inductance value of the PMSM.

### Claim 13 (depends on 12)

The apparatus according to claim 12, wherein the inductance estimation unit injects the random signal into the axis of a rotor coordinate system of the PMSM during sensorless operation, changes inductance used in control of the PMSM plural times during injection of the signal, respectively senses current responses to the injected signal during change of inductance plural times, and detects an inductance value based on magnitudes of the sensed current responses, and judges the detected inductance value to be an actual inductance value of the PMSM.

### Claim 14 (depends on 13)

The apparatus according to claim 13, wherein the inductance estimation unit compares the magnitudes of the sensed current responses to each other, detects an inductance value at which the magnitude of the sensed current response is minimal as a result of the comparison, and judges the detected inductance value to be the actual inductance value of the PMSM.

### Claim 15 (depends on 12)

The apparatus according to claim 12, wherein the inductance estimation unit injects a voltage signal having a frequency differing from an operating frequency of the PMSM.

### Claim 16 (depends on 15)

The apparatus according to claim 15, wherein the inductance estimation unit injects the voltage signal into the q-axis of the rotor coordinate system.

### Claim 17 (depends on 16)

The apparatus according to claim 16, wherein the inductance estimation unit senses d-axis current responses to the voltage signal injected into the q-axis.

### Claim 18 (depends on 17)

The apparatus according to claim 17, further comprising a band pass filter (BPF) to extract only d-axis current responses to the voltage signal injected into the q-axis.

### Claim 19 (depends on 18)

The apparatus according to claim 18, further comprising a magnitude detector to detect a magnitude of the injected frequency signal for the d-axis current response.

### Claim 20 (depends on 12)

The apparatus according to claim 12, further comprising an angle controller to estimate position and velocity of a rotating magnetic flux of the PMSM,
wherein voltage and current applied to the PMSM is used as input of the angle controller, and
the position and velocity of the rotating magnetic flux is estimated using the voltage, current and estimated inductance.
