CN110098773A - A kind of permanent magnet synchronous motor parameter identification method using least square method - Google Patents
A kind of permanent magnet synchronous motor parameter identification method using least square method Download PDFInfo
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- CN110098773A CN110098773A CN201910408024.3A CN201910408024A CN110098773A CN 110098773 A CN110098773 A CN 110098773A CN 201910408024 A CN201910408024 A CN 201910408024A CN 110098773 A CN110098773 A CN 110098773A
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P21/00—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
- H02P21/14—Estimation or adaptation of machine parameters, e.g. flux, current or voltage
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P2207/00—Indexing scheme relating to controlling arrangements characterised by the type of motor
- H02P2207/05—Synchronous machines, e.g. with permanent magnets or DC excitation
Abstract
The invention discloses a kind of permanent magnet synchronous motor parameter identification method using least square method, specific steps are as follows: measurement the first stabilized zone of permanent magnet synchronous motor carries the parameter under operating condition and then obtains the parameter under corresponding rotating coordinate system；Since the t=0 moment, the parameter under corresponding rotating coordinate system is obtained in turn with the parameter carried under operating condition second of T on-line measurement permanent magnet synchronous motor at predetermined intervals；It carries out solving the kth time i.e. solution matrix of kT moment least square method using the first derivation matrix of least square method, the second derivation matrix, the first intermediary matrix and the second intermediary matrix；Using the correspondence parameter value calculation kth time i.e. weak magnetic control parameter value of kT moment permanent magnet synchronous motor of the i.e. solution matrix of kT moment least square method of kth time, to realize the maximization of permanent magnet synchronous motor power output.
Description
Technical field
The invention belongs to magneto fields, and in particular to a kind of to be distinguished using the permanent magnet synchronous motor parameter of least square method
Knowledge method.
Background technique
Permanent magnet synchronous motor is the synchronous motor that synchronous rotary magnetic field is generated by permanent magnet excitation, and permanent magnet is produced as rotor
Raw rotating excitation field, threephase stator winding, by armature-reaction, incude three-phase symmetrical electric current under rotating excitation field effect.Rotor at this time
Kinetic energy is converted into electric energy, and permanent magnet synchronous motor is used as generator (generator)；In addition, when stator side is passed through three-phase symmetrical electricity
Stream, since threephase stator differs 120 on spatial position, so threephase stator electric current generates rotating excitation field, rotor in space
It is moved in rotating excitation field by electromagnetic force, electric energy is converted into kinetic energy at this time, and permanent magnet synchronous motor makees motor (motor)
With.
In the operational process of permanent magnet synchronous motor, with permanent magnet synchronous motor load, the variation of environment temperature, permanent magnetism is same
The armature resistance of step motor, d-axis reactance, quadrature axis reactance parameter can change with the operation of permanent magnet synchronous motor, therefore suitable
On-line parameter identification method it is extremely important for high-precision control system for permanent-magnet synchronous motor.
In existing parameter of electric machine on-line identification method, least square method especially least square method of recursion is with its occupancy
Calculation resources it is few and be widely used.But in traditional discrimination method, since based on rotating coordinate system, only there are two independent
Voltage equation, it is difficult to recognize three permanent magnet synchronous motor armature resistance, d-axis reactance, quadrature axis reactance unknown quantitys.Patent of invention
201410572637.8 propose it is a kind of can by least squares identification armature resistance, the method for d-axis reactance, quadrature axis reactance,
It is characterized in that establish the first mathematical model and the second mathematical model, be iterated by its certain logic sequence however, due to
The building of first mathematical model has higher requirements for the selection of initial value based on the situation known to the initial value of armature resistance.
Summary of the invention
Aiming at the above defects or improvement requirements of the prior art, the present invention provides a kind of permanent magnetism using least square method
PARAMETER IDENTIFICATION OF SYNCHRONOUS MACHINE method is obtained corresponding by the parameter under measurement two kinds of permanent magnet synchronous motor band load operating condition
Parameter under rotating coordinate system；Matrix is derived using the first of least square method, second derives matrix, the first intermediary matrix and the
Two intermediary matrixs solve the solution matrix of least square method；Utilize the correspondence parameter value meter of the solution matrix of least square method
The weak magnetic control parameter value of permanent magnet synchronous motor is calculated, to realize the maximization of permanent magnet synchronous motor power output.
To achieve the above object, according to one aspect of the present invention, it provides a kind of same using the permanent magnetism of least square method
Walk parameter of electric machine discrimination method, specific steps are as follows:
S1. measurement the first stabilized zone of permanent magnet synchronous motor carries three-phase phase current, three-phase line voltage and revolving speed under operating condition
Signal, and then obtain the direct-axis current under corresponding rotating coordinate system, alternating current, direct-axis voltage, quadrature-axis voltage and electric angle speed
Degree, further obtains the voltage equation group under corresponding permanent magnet synchronous motor rotating coordinate system；
S2. since the t=0 moment, T on-line measurement obtains second of permanent magnet synchronous motor with load at predetermined intervals
Three-phase phase current, three-phase line voltage and tach signal under operating condition, so obtain the direct-axis current under corresponding rotating coordinate system,
Alternating current, direct-axis voltage, quadrature-axis voltage and angular rate further obtain under corresponding permanent magnet synchronous motor rotating coordinate system
Voltage equation group；
It arranges to obtain the equation of least square method using the voltage equation group under two groups of permanent magnet synchronous motor rotating coordinate systems
Group further obtains the first of least square method and derives matrix, the second derivation matrix；
It is calculated since k=1, is utilized respectively the first of least square method and derives matrix, second derive matrix, among first
Matrix and the second intermediary matrix carry out solving the kth time i.e. solution matrix of kT moment least square method；
S3. the correspondence parameter value calculation kth time i.e. kT moment of the i.e. solution matrix of kT moment least square method of kth time is utilized
The weak magnetic control parameter value of permanent magnet synchronous motor, to realize the maximization of permanent magnet synchronous motor power output.
As a further improvement of the present invention, step S1 specifically:
Convert to obtain the direct-axis current i under rotating coordinate system by Parkd, alternating current iq, direct-axis voltage ud, quadrature axis electricity
Press uqWith angular rate we, further obtain the voltage equation group under permanent magnet synchronous motor rotating coordinate system are as follows:
Wherein, Rs、LdAnd LqArmature resistance, d-axis reactance and the quadrature axis reactance of respectively required permanent magnet synchronous motor, ψfFor
The magnetic linkage value of permanent magnet synchronous motor.
As a further improvement of the present invention, the equation group of least square method:
Wherein, ud1、uq1、id1、iq1And we1Respectively the first band of permanent magnet synchronous motor carries corresponding d-axis electricity under operating condition
Pressure value, quadrature-axis voltage value, direct-axis current value, quadrature axis current value and angular rate value；ud2、uq2、id2、iq2And we2Respectively permanent magnetism
Second of synchronous motor with corresponding direct-axis voltage value, quadrature-axis voltage value, direct-axis current value, quadrature axis current value and electricity under load operating condition
Magnitude of angular velocity.
As a further improvement of the present invention, the first of least square method derives matrix are as follows:
ud2,k、uq2,k、id2,k、iq2,kAnd we2,kWhen respectively second of permanent magnet synchronous motor i.e. kT secondary with kth under load operating condition
Carve direct-axis voltage value, quadrature-axis voltage value, direct-axis current value, quadrature axis current value and angular rate value that on-line measurement obtains；
The second of least square method derives matrix are as follows:
The solution matrix of least square method are as follows:
Rsk、LdkAnd LqkRespectively permanent magnet synchronous motor kth time is the armature resistance being calculated at the kT moment, d-axis reactance
With quadrature axis reactance value.
As a further improvement of the present invention, first using least square method derives matrix, the second derivation matrix, first
Intermediary matrix γ (k) and the second intermediary matrix P (k) solve the solution matrix of least square method specifically:
P (k)=[I- γ (k) ΨT(k)]P(k-1)
Wherein,It is given initial value with P (0), I is that unit docks matrix, and α is given unit coefficient, utilizes P
(0)=α I solves unit docking matrix I, and as an example, α is 100 or 1000 or 10000；P(k-1),With
Ψ (k-1) is respectively kth -1 time i.e. (k-1) T moment corresponding second intermediary matrix, solution matrix and second derive matrix, ΨT
(k) and ΨT(k-1) be respectively Ψ (k) He Ψ (k-1) transposed matrix.
As a further improvement of the present invention, step S3 specifically:
The direct-axis current i under kth time i.e. kT moment rotating coordinate system is calculated using existing control algolithmdkAnd alternating current
iqk, utilize the electric current direct-axis component Δ i of weak magnetic control feedbackdCompensation obtains after compensating under kth time i.e. kT moment rotating coordinate system
Direct-axis current idk'=idk+Δidk, further calculate the d-axis for obtaining the i.e. k weak magnetic control of kT moment permanent magnet synchronous motor
Voltage value u* dkWith quadrature-axis voltage value u* qkAre as follows:
As a further improvement of the present invention, existing control algolithm can be controlled for MTPA control or sliding formwork control or without position
Technology processed.
As a further improvement of the present invention, pass through the end voltage of permanent magnet synchronous motor and the maximum busbar voltage size of permission
Multilevel iudge permanent magnet synchronous motor whether enter weak magnetic region.
In general, through the invention it is contemplated above technical scheme is compared with the prior art, have below beneficial to effect
Fruit:
A kind of permanent magnet synchronous motor parameter identification method using least square method of the invention, it is same by measurement permanent magnetism
Two kinds of step motor obtains the parameter under corresponding rotating coordinate system with the parameter carried under operating condition in turn；Utilize the of least square method
One derivation matrix, the second derivation matrix, the first intermediary matrix and the second intermediary matrix solve the solution square of least square method
Battle array；Using the weak magnetic control parameter value of the correspondence parameter value calculation permanent magnet synchronous motor of the solution matrix of least square method, with reality
The maximization of existing permanent magnet synchronous motor power output, to solve that electricity can not be obtained in the case where parameter is totally unknown in the prior art
The armature resistance of machine, d-axis reactance, quadrature axis reactance parameter, real-time online obtain armature resistance, the d-axis of motor in operational process
Reactance, quadrature axis reactance value, and can guarantee computational accuracy, meanwhile, identification equation has only used mathematical model, simplifies the meter of algorithm
Calculation amount.
A kind of permanent magnet synchronous motor parameter identification method using least square method of the invention, motor control method packet
It includes existing control algolithm and weak magnetic control algolithm combines, the switching point of two kinds of algorithms passes through motor terminal voltage vector magnitude and mother
Line voltage amplitude is compared switching, and existing control algolithm is obtained by voltage limit circle, current limitation ellipse and torque equation
The relationship of biphase current under rotational coordinates controls electric current according to the relationship of the two, to mention high control precision, increases
Output torque.
A kind of permanent magnet synchronous motor parameter identification method using least square method of the invention, chooses two kinds of run with loads
Operating condition establishes d-axis, quadrature-axis voltage equation respectively, the equation group of iteration is used for by four establishing equations, and by any setting
Resistance, reactance initial value substitute into equation group, approached by least square method of recursion, calculate one group closer to true value
Resistance, reactance value, identification process kind updates the call by value for newly counting counted resistance, reactance, again according to parameter identification side
Journey calculates resistance, reactance value, and new resistance, reactance value are constantly substituted into the mathematics for carrying out parameter identification by aforementioned calculating process
Equation group is iterated, and is continuously available more primary closer to the practical armature resistance of the permanent magnet synchronous motor, d-axis reactance, friendship than preceding
The model output of axis reactance true value, until calculate the permanent magnet synchronous motor true value.
Detailed description of the invention
Fig. 1 is respectively a kind of permanent magnet synchronous motor parameter identification side using least square method of the preferred embodiment of the present invention
The schematic diagram of method；
Fig. 2 (a), 2 (b) and 2 (c) are respectively the armature resistance of the permanent magnet synchronous motor of the preferred embodiment of the present invention, d-axis
The identifier of reactance and quadrature axis reactance.
Specific embodiment
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to the accompanying drawings and embodiments, right
The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and
It is not used in the restriction present invention.
In addition, as long as technical characteristic involved in the various embodiments of the present invention described below is each other not
Constituting conflict can be combined with each other.The present invention is described in more detail With reference to embodiment.
Fig. 1 is respectively a kind of permanent magnet synchronous motor parameter identification side using least square method of the preferred embodiment of the present invention
The schematic diagram of method.As shown in Figure 1, a kind of permanent magnet synchronous motor parameter identification method using least square method, specific steps are as follows:
S1. measurement the first stabilized zone of permanent magnet synchronous motor carries three-phase phase current, three-phase line voltage and revolving speed under operating condition
Signal, and then obtain the direct-axis current under corresponding rotating coordinate system, alternating current, direct-axis voltage, quadrature-axis voltage and electric angle speed
Degree；
Using three-phase phase current, three-phase line voltage and the tach signal of permanent magnet synchronous motor, is converted and revolved by Park
Turn direct-axis current, alternating current, phase direct-axis voltage, intersection shaft voltage and the angular rate under coordinate system, further obtains permanent magnetism
Voltage equation group under synchronous motor rotating coordinate system；
Specifically, convert to obtain the direct-axis current i under rotating coordinate system by Parkd, alternating current iq, direct-axis voltage ud、
Quadrature-axis voltage uqWith angular rate we, further obtain the voltage equation group under permanent magnet synchronous motor rotating coordinate system are as follows:
Wherein, Rs、LdAnd LqArmature resistance, d-axis reactance and the quadrature axis reactance of respectively required permanent magnet synchronous motor, ψfFor
The magnetic linkage value of permanent magnet synchronous motor.As an example, in the case where permanent magnet synchronous motor Converter Without Voltage Sensor, direct-axis voltage
udWith quadrature-axis voltage uqFor given value.
S2. since the t=0 moment, T on-line measurement obtains second of permanent magnet synchronous motor with load at predetermined intervals
Three-phase phase current, three-phase line voltage and tach signal under operating condition, so obtain the direct-axis current under corresponding rotating coordinate system,
Alternating current, direct-axis voltage, quadrature-axis voltage and angular rate；
Wherein, it arranges to obtain least square method using the voltage equation group under two groups of permanent magnet synchronous motor rotating coordinate systems
Equation group:
Wherein, ud1、uq1、id1、iq1And we1Respectively the first band of permanent magnet synchronous motor carries corresponding d-axis electricity under operating condition
Pressure value, quadrature-axis voltage value, direct-axis current value, quadrature axis current value and angular rate value；ud2、uq2、id2、iq2And we2Respectively permanent magnetism
Second of synchronous motor with corresponding direct-axis voltage value, quadrature-axis voltage value, direct-axis current value, quadrature axis current value and electricity under load operating condition
Magnitude of angular velocity；
The first of least square method derives matrix are as follows:
ud2,k、uq2,k、id2,k、iq2,kAnd we2,kWhen respectively second of permanent magnet synchronous motor i.e. kT secondary with kth under load operating condition
Carve direct-axis voltage value, quadrature-axis voltage value, direct-axis current value, quadrature axis current value and angular rate value that on-line measurement obtains；
The second of least square method derives matrix are as follows:
The solution matrix of least square method are as follows:
Rsk、LdkAnd LqkRespectively permanent magnet synchronous motor kth time is the armature resistance being calculated at the kT moment, d-axis reactance
With quadrature axis reactance value；
It is calculated since k=1, is utilized respectively the first of least square method and derives matrix, second derive matrix, among first
Matrix γ (k) and the second intermediary matrix P (k) solve the solution matrix of least square method, specifically:
P (k)=[I- γ (k) ΨT(k)]P(k-1)
Wherein,It is given initial value with P (0), I is that unit docks matrix, and α is given unit coefficient, utilizes P
(0)=α I solves unit docking matrix I, and as an example, α is 100 or 1000 or 10000；P(k-1),With
Ψ (k-1) is respectively kth -1 time i.e. (k-1) T moment corresponding second intermediary matrix, solution matrix and second derive matrix, ΨT
(k) and ΨT(k-1) be respectively Ψ (k) He Ψ (k-1) transposed matrix；
S3. the correspondence parameter value calculation kth time i.e. kT moment for the solution matrix being calculated using the kth time i.e. kT moment is forever
The weak magnetic control parameter value of magnetic-synchro motor, to realize the maximization of permanent magnet synchronous motor power output.
Specifically, the direct-axis current i under kth time i.e. kT moment rotating coordinate system is calculated using existing control algolithmdkAnd friendship
Galvanic electricity stream iqk, utilize the electric current direct-axis component Δ i of weak magnetic control feedbackdkCompensation obtains under kth time i.e. kT moment rotating coordinate system
Compensated direct-axis current idk'=idk+Δidk, further calculate to obtain the i.e. k weak magnetic control of kT moment permanent magnet synchronous motor
Direct-axis voltage value u* dkWith quadrature-axis voltage value u* qkAre as follows:
As an example, existing control algolithm can be for MTPA control or sliding formwork control or position-sensorless control technology such as
Construct flux observer or sliding mode observer or model reference adaptive observer；Can by the end voltage of permanent magnet synchronous motor with
Allow whether the multilevel iudge permanent magnet synchronous motor of maximum busbar voltage size enters weak magnetic region.
Table 1 is the basic relevant parameter of permanent magnet synchronous motor of the embodiment of the present invention.As shown in table 1, with a permanent-magnet synchronous
Motor is example, and corresponding simulating, verifying is carried out in MATLAB/SIMULINK software, and the basic relevant parameter of the motor is shown in Table
1。
The basic relevant parameter of 1 permanent magnet synchronous motor of the embodiment of the present invention of table
| The parameter of electric machine | Parameter values |
| Armature resistance Rs | 1.65Ω |
| D-axis reactance Ld | 7.75mH |
| Quadrature axis reactance Lq | 7.7mH |
| Permanent magnet flux linkage ψf | 0.208Wb |
It is given to need the initial parameter values that recognize, given initial value hereWith P (0), and simulation time be 2s when add
Enter microvariations and make it into another operating status, to obtain corresponding state identification equation group.
Fig. 2 (a) -2 (c) be respectively the armature resistance of the permanent magnet synchronous motor of the preferred embodiment of the present invention, d-axis reactance and
The identifier of quadrature axis reactance.As shown in Fig. 2 (a) -2 (c), the accuracy through emulating obtained algorithm identification result is verified,
Wherein LqIdentification result relative error it is larger, but be also maintained within 1%.
As it will be easily appreciated by one skilled in the art that the foregoing is merely illustrative of the preferred embodiments of the present invention, not to
The limitation present invention, any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should all include
Within protection scope of the present invention.
Claims (8)
1. a kind of permanent magnet synchronous motor parameter identification method using least square method, which is characterized in that specific steps are as follows:
S1. measurement the first stabilized zone of permanent magnet synchronous motor carries three-phase phase current, three-phase line voltage and tach signal under operating condition,
And then direct-axis current, alternating current, direct-axis voltage, quadrature-axis voltage and the angular rate under corresponding rotating coordinate system are obtained, into
One step obtains the voltage equation group under corresponding permanent magnet synchronous motor rotating coordinate system；
S2. since the t=0 moment, T on-line measurement obtains second of permanent magnet synchronous motor with load operating condition at predetermined intervals
Under three-phase phase current, three-phase line voltage and tach signal, and then obtain the direct-axis current under corresponding rotating coordinate system, exchange
Electric current, direct-axis voltage, quadrature-axis voltage and angular rate further obtain the electricity under corresponding permanent magnet synchronous motor rotating coordinate system
Press equation group；
It arranges to obtain the equation group of least square method using the voltage equation group under two groups of permanent magnet synchronous motor rotating coordinate systems, into
One step obtains the first derivation matrix of least square method, the second derivation matrix；
It is calculated since k=1, is utilized respectively the first of least square method and derives matrix, the second derivation matrix, the first intermediary matrix
It carries out solving the kth time i.e. solution matrix of kT moment least square method with the second intermediary matrix；
S3. the correspondence parameter value calculation kth time i.e. kT moment permanent magnetism of the i.e. solution matrix of kT moment least square method of kth time is utilized
The weak magnetic control parameter value of synchronous motor, to realize the maximization of permanent magnet synchronous motor power output.
2. a kind of permanent magnet synchronous motor parameter identification method using least square method according to claim 1, feature
It is, step S1 specifically:
Convert to obtain the direct-axis current i under rotating coordinate system by Parkd, alternating current iq, direct-axis voltage ud, quadrature-axis voltage uqWith
Angular rate we, further obtain the voltage equation group under permanent magnet synchronous motor rotating coordinate system are as follows:
Wherein, Rs、LdAnd LqArmature resistance, d-axis reactance and the quadrature axis reactance of respectively required permanent magnet synchronous motor, ψfFor permanent magnetism
The magnetic linkage value of synchronous motor.
3. a kind of permanent magnet synchronous motor parameter identification method using least square method according to claim 1 or 2, special
Sign is, the equation group of the least square method:
Wherein, ud1、uq1、id1、iq1And we1Respectively permanent magnet synchronous motor the first band carry operating condition under corresponding direct-axis voltage value,
Quadrature-axis voltage value, direct-axis current value, quadrature axis current value and angular rate value；ud2、uq2、id2、iq2And we2Respectively permanent-magnet synchronous
Second of motor fast with corresponding direct-axis voltage value, quadrature-axis voltage value, direct-axis current value, quadrature axis current value and electric angle under operating condition is carried
Angle value.
4. a kind of permanent magnet synchronous motor parameter identification method using least square method according to claim 3, special
Sign is that the first of the least square method derives matrix are as follows:
ud2,k、uq2,k、id2,k、iq2,kAnd we2,kRespectively second of permanent magnet synchronous motor is to exist at the kT moment with kth time under operating condition is carried
Direct-axis voltage value, quadrature-axis voltage value, direct-axis current value, quadrature axis current value and the angular rate value that line measurement obtains；
The second of least square method derives matrix are as follows:
The solution matrix of the least square method are as follows:
Rsk、LdkAnd LqkRespectively permanent magnet synchronous motor kth time is armature resistance, d-axis reactance and the friendship being calculated at the kT moment
Axis reactance value.
5. a kind of permanent magnet synchronous motor parameter identification method using least square method according to claim 4, special
Sign is, among the first derivation matrix, the second derivation matrix, the first intermediary matrix γ (k) and second of least square method
Matrix P (k) solve the solution matrix of least square method specifically:
P (k)=[I- γ (k) ΨT(k)]P(k-1)
Wherein,It is given initial value with P (0), I is that unit docks matrix, and α is given unit coefficient, is utilized P (0)
=α I solves unit docking matrix I；P(k-1),Being respectively kth -1 time i.e. with Ψ (k-1), (k-1) the T moment is corresponding
Second intermediary matrix, solution matrix and second derive matrix, ΨT(k) and ΨT(k-1) be respectively Ψ (k) He Ψ (k-1) transposition
Matrix.
6. a kind of permanent magnet synchronous motor parameter identification method using least square method according to claim 4 or 5, special
Sign is, step S3 specifically:
The direct-axis current i under kth time i.e. kT moment rotating coordinate system is calculated using existing control algolithmdkWith alternating current iqk, benefit
With the electric current direct-axis component Δ i of weak magnetic control feedbackdCompensation obtains compensated d-axis under kth time i.e. kT moment rotating coordinate system
Electric current idk'=idk+Δidk, further calculate the direct-axis voltage value for obtaining the i.e. k weak magnetic control of kT moment permanent magnet synchronous motor
u* dkWith quadrature-axis voltage value u* qkAre as follows:
7. a kind of permanent magnet synchronous motor parameter identification method using least square method according to claim 6, feature
It is, existing control algolithm can be MTPA control or sliding formwork control or position-sensorless control technology.
8. a kind of permanent magnet synchronous motor parameter identification method using least square method according to claim 6, feature
Be, by the end voltage of permanent magnet synchronous motor and allow maximum busbar voltage size multilevel iudge permanent magnet synchronous motor whether
Into weak magnetic region.
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| CN112202382A (en) * | 2020-12-09 | 2021-01-08 | 金陵海关技术中心 | Permanent magnet synchronous motor parameter obtaining method based on operation data |
| CN114531083A (en) * | 2022-03-15 | 2022-05-24 | 北京理工大学 | Permanent magnet synchronous motor single current sensor prediction control and parameter identification method |
| CN114531083B (en) * | 2022-03-15 | 2024-04-12 | 北京理工大学 | Permanent magnet synchronous motor single current sensor prediction control and parameter identification method |
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