CN111756288A - Method for improving estimation performance of permanent magnet synchronous motor without position sensor - Google Patents

Method for improving estimation performance of permanent magnet synchronous motor without position sensor Download PDF

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Publication number
CN111756288A
CN111756288A CN202010566364.1A CN202010566364A CN111756288A CN 111756288 A CN111756288 A CN 111756288A CN 202010566364 A CN202010566364 A CN 202010566364A CN 111756288 A CN111756288 A CN 111756288A
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motor
synchronous motor
permanent magnet
rotor
magnet synchronous
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刘青
彭洵
王胜勇
王傲能
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Wisdri Wuhan Automation Co Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P21/00Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
    • H02P21/0003Control strategies in general, e.g. linear type, e.g. P, PI, PID, using robust control
    • H02P21/0007Control strategies in general, e.g. linear type, e.g. P, PI, PID, using robust control using sliding mode control
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P21/00Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
    • H02P21/14Estimation or adaptation of machine parameters, e.g. flux, current or voltage
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P21/00Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
    • H02P21/14Estimation or adaptation of machine parameters, e.g. flux, current or voltage
    • H02P21/18Estimation of position or speed
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P25/00Arrangements or methods for the control of AC motors characterised by the kind of AC motor or by structural details
    • H02P25/02Arrangements or methods for the control of AC motors characterised by the kind of AC motor or by structural details characterised by the kind of motor
    • H02P25/022Synchronous motors
    • H02P25/024Synchronous motors controlled by supply frequency
    • H02P25/026Synchronous motors controlled by supply frequency thereby detecting the rotor position
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P27/00Arrangements or methods for the control of AC motors characterised by the kind of supply voltage
    • H02P27/04Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage
    • H02P27/06Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using dc to ac converters or inverters
    • H02P27/08Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using dc to ac converters or inverters with pulse width modulation
    • H02P27/12Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using dc to ac converters or inverters with pulse width modulation pulsing by guiding the flux vector, current vector or voltage vector on a circle or a closed curve, e.g. for direct torque control
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P6/00Arrangements for controlling synchronous motors or other dynamo-electric motors using electronic commutation dependent on the rotor position; Electronic commutators therefor
    • H02P6/14Electronic commutators
    • H02P6/16Circuit arrangements for detecting position
    • H02P6/18Circuit arrangements for detecting position without separate position detecting elements
    • H02P6/182Circuit arrangements for detecting position without separate position detecting elements using back-emf in windings

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Control Of Motors That Do Not Use Commutators (AREA)

Abstract

The invention relates to a power electronic control technology, in particular to a method for improving estimation performance of a permanent magnet synchronous motor without a position sensor, which comprises the steps of establishing a mathematical model of the synchronous motor, establishing an I/F (input/output) flow frequency ratio starting scheme and a sliding-mode observer rotor position and speed estimation scheme based on an extended back electromotive force model, and aiming at the problem of current and torque jitter generated by hard switching from a low-speed section I/F to a high-speed section sliding mode, providing a novel smooth switching method, so that the transition process of torque, rotating speed and current is smooth and impact-free, and the switching process can be smoothly implemented under different load conditions from no-load to rated load. The method has the advantages of low cost, high estimation precision, high speed, high real-time performance, good robustness and strong anti-interference capability, can improve the estimation precision of the permanent magnet synchronous motor position sensorless estimation algorithm, reduces the rotor estimation error, and has guiding significance for improving the estimation performance of the permanent magnet synchronous motor position sensorless vector control system.

Description

Method for improving estimation performance of permanent magnet synchronous motor without position sensor
Technical Field
The invention belongs to the technical field of power electronic control, and particularly relates to a method for improving the estimation performance of a permanent magnet synchronous motor without a position sensor.
Background
In the last decade, the problem of energy shortage has restricted the development of human society. With the discovery of high-performance rare earth permanent magnet materials and the continuous development of power electronic devices, industrial automation, robots and electric automobiles are widely used in motors. Therefore, the motor is the electrical appliance with the largest electricity consumption in a plurality of energy consumption devices. The total annual power consumption can be greatly reduced by improving the energy efficiency level and the operating efficiency of the motor, and the problem of energy shortage is solved.
The speed regulation method of the alternating current motor is mainly divided into two types: direct torque control and vector control. Although the control ideas and control theories of the two types of control are different, in order to achieve high-performance control of the motor, the two control methods both need accurate rotor position and angular speed. Therefore, in the motor control system, a position sensor such as a photoelectric encoder, a rotary transformer, etc. is generally added. Mechanical position sensors, while capable of accurately providing angular information about the rotor, can also have some negative impact on the motor control system. The price of mechanical position sensors is generally high, the cost is increased when the position sensors are installed in the motor control system, and the size of the motor driver is increased. A QEP coding interface circuit is additionally arranged between the motor and the driver, so that inconvenience is brought to engineering application, and the stability of a system is also not facilitated; the mechanical position sensor is an electromagnetic element, is greatly influenced by the operating condition of the system, and the detection precision of the mechanical position sensor is easily limited by external conditions, so that the reliability of the system is reduced; in some special applications, which are limited by operating conditions, mechanical position sensors, such as air conditioning compressor systems, cannot be used, so that the entire system cannot operate properly. The no position sensor cannot smoothly switch from the low speed section to the medium and high speed section.
Disclosure of Invention
The invention aims to provide a smooth switching method for starting an I/F (input/output) stream frequency ratio to a sliding mode observer.
In order to achieve the purpose, the invention adopts the technical scheme that: a method for improving estimation performance of a permanent magnet synchronous motor without a position sensor comprises the following steps:
step 1, establishing a mathematical model of a permanent magnet synchronous motor; decoupling the position information of the rotor into a motor extended back electromotive force mathematical model:
Figure BDA0002547773670000021
transforming the formula (1) into a two-phase static coordinate system through Park inverse transformation to obtain a mathematical model of the motor under the static two-phase coordinate system, wherein a motor stator voltage equation is as follows:
Figure BDA0002547773670000022
rewriting formula (1) to:
Figure BDA0002547773670000023
wherein u isα、uβIs the stator voltage component on axis of the stationary reference frame αβd、uqThe direct axis voltage and quadrature axis voltage of the stator are obtained; i.e. id、iqThe direct axis current and quadrature axis current of the stator are obtained;
Figure BDA0002547773670000024
the direct axis flux linkage component and the quadrature axis flux linkage component of the stator are obtained; l isd、LqThe direct axis flux linkage component and the quadrature axis flux linkage component of the stator are obtained; omegaeIs the rotor speed; p is a differential operator; l is0=(Ld+Lq)/2,L1=(Ld-Lq)/2;
Step 2, establishing an I/F flow frequency ratio starting mathematical model; position angle generator set position angle
Figure BDA0002547773670000025
And d, carrying out dq- αβ coordinate transformation on the stator current, wherein the relation among the command position angle, the rotating speed and the acceleration is as follows:
Figure BDA0002547773670000026
ω*=∫kωdt (5)
starting current
Figure BDA0002547773670000027
And acceleration KωThe following relationship is followed:
Figure BDA0002547773670000031
p is a differential operator, J is a moment of inertia, KtIn order to be the torque coefficient of the motor,
Figure BDA0002547773670000032
estimating the torque current, TLmaxIs the maximum load torque;
step 3, constructing a sliding mode observer based on the extended back electromotive force model according to the extended back electromotive force model of the motor:
Figure BDA0002547773670000033
in the formula, eα=-Eextsinθe,eβ=EextcosθeExtended electromotive force components in α - β two-phase stationary coordinate systems;
Figure BDA0002547773670000034
the rotor position is extracted as follows:
Figure BDA0002547773670000035
wherein, | EextI is the extended back EMF amplitude, Δ e is the back EMF error value, θeIs the actual position of the rotor;
Figure BDA0002547773670000036
to estimate a rotor position;
when the angle error information is small, the above equation can be approximately equivalent to:
Figure BDA0002547773670000037
step 4, according to the constructed permanent magnet synchronous motor position-vector-free control system, the designated d for open-loop starting*q*Position angle of coordinate axis
Figure BDA0002547773670000038
Transition to rotor position angle theta according to set coefficientdExpressed as:
Figure BDA0002547773670000039
θcmdfor closed-loop control of angle, thetaestFor high-speed, non-inductive angle estimation, the parameter k determines the time required for the transition.
The invention has the beneficial effects that: the method can basically eliminate the motor speed jitter and the current jitter generated under the switching of two modes, and has important guiding significance for the smooth switching between different speed sections of the motor position-sensorless control system.
The invention is suitable for any system adopting a vector control strategy, and does not need an additional photoelectric encoder or a rotary transformer.
The method has the advantages of high estimation precision, high speed and high real-time performance, and can accurately estimate the position of the motor rotor in real time and stably run in the whole process.
The method has the advantages that the robustness is good, the anti-interference capability is strong, and the dynamic processes of motor starting, speed changing, sudden loading or sudden unloading and the like can not generate negative influence on the result of the method; the scheme is insensitive to the internal parameters of the motor and has strong anti-noise capability.
The method is simple to realize, and the method can be embedded into the control program as a subprogram without influencing or modifying the control program.
Drawings
FIG. 1 is a flow chart of a method for improving sensorless estimation performance of a permanent magnet synchronous motor according to an embodiment of the present invention;
FIG. 2(a) is a schematic diagram of phase current crossing points in an initial phase according to an embodiment of the present invention;
FIG. 2(b) is a schematic diagram of phase current crossing points during an acceleration phase according to an embodiment of the present invention;
fig. 3 is a topology of a rectifier in a method for real-time detection of an open circuit fault of a three-phase rectifier power tube according to an embodiment of the present invention.
Detailed Description
Embodiments of the present invention will be described in detail below with reference to the accompanying drawings.
The embodiment provides a soft transition switching method aiming at the problem that the position-free sensor can not be switched smoothly from a low-speed section to a medium-high speed section in the prior art, so that the transition process of torque, rotating speed and current is smooth and has no impact, and the switching process can be smoothly implemented under different load conditions from no load to rated load.
As shown in fig. 1, a method for improving estimation performance of a permanent magnet synchronous motor without a position sensor includes the following steps:
s1, completely decoupling the position information of the rotor into a motor extended back electromotive force mathematical model on the basis of the mathematical model of the permanent magnet synchronous motor,
Figure BDA0002547773670000051
transforming the formula (1') into a two-phase static coordinate system through Park inverse transformation to obtain a mathematical model of the motor under the static two-phase coordinate system, wherein a motor stator voltage equation is as follows:
Figure BDA0002547773670000052
formula (2') can be rewritten as:
Figure BDA0002547773670000053
wherein u isα、uβIs the stator voltage component on axis of the stationary reference frame αβd、uqThe direct axis voltage and quadrature axis voltage of the stator are obtained; i.e. id、iqThe direct axis current and quadrature axis current of the stator are obtained;
Figure BDA0002547773670000054
the direct axis flux linkage component and the quadrature axis flux linkage component of the stator are obtained; l isd、LqThe direct axis flux linkage component and the quadrature axis flux linkage component of the stator are obtained; omegaeIs the rotor speed; p is a differential operator; l is0=(Ld+Lq)/2,L1=(Ld-Lq)/2;
S2, establishing an I/F flow frequency ratio starting mathematical model; position angle generator set position angle
Figure BDA0002547773670000056
And d, carrying out dq- αβ coordinate transformation on the stator current, wherein the relation among the command position angle, the rotating speed and the acceleration is as follows:
Figure BDA0002547773670000055
ω*=∫kωdt (5′)
the larger the starting current amplitude is, the smaller the set acceleration is, the larger the disturbance tolerance of the system is, the stronger the anti-step-out capability is, and the starting current is
Figure BDA0002547773670000061
And acceleration KωThe following relationship is followed:
Figure BDA0002547773670000062
p is a differential operator, J is a moment of inertia, KtIn order to be the torque coefficient of the motor,
Figure BDA0002547773670000063
estimating the torque current, TLmaxIs the maximum load torque; as shown in fig. 2(a) and 2 (b);
s3, constructing the sliding mode observer based on the extended back electromotive force model according to the extended back electromotive force model of the motor, wherein as shown in FIG. 3, the mathematical model of the sliding mode observer is as follows:
Figure BDA0002547773670000064
in the formula, eα=-Eextsinθe,eβ=EextcosθeExtended electromotive force components in α - β two-phase stationary coordinate systems;
Figure BDA0002547773670000065
the rotor position is extracted as follows:
Figure BDA0002547773670000066
wherein, | EextI is the extended back EMF amplitude, Δ e is the back EMF error value, θeIs the actual position of the rotor;
Figure BDA0002547773670000067
to estimate the rotor position. When the angle error information is small, the above equation is approximately equivalent to
Figure BDA0002547773670000068
S4, correcting the rotor position by adopting a weighting coefficient according to the constructed permanent magnet synchronous motor position-free vector control systemBy angling the transition method, i.e. d, specified for open-loop start-up*q*Position angle of coordinate axis
Figure BDA0002547773670000069
Transition to rotor position angle theta according to set coefficientdExpressed as:
Figure BDA0002547773670000071
θcmdfor closed-loop control of angle, thetaestFor high-speed, non-inductive estimation of the angle parameter, k is a key factor affecting the transition process, which determines the time required for the transition process.
Through tests, the method is applied to series products of electric vehicles and series products of industrial frequency converters, the transition process of torque, rotating speed and current is smooth and has no impact, and the switching process can be smoothly implemented under different load conditions from no load to rated load.
In the embodiment, a photoelectric encoder or a rotary transformer is omitted in the motor control system, so that the size of the motor control system is reduced, the cost of the whole system is also reduced, and the motor control system has the advantages of small environmental influence factor and low system maintenance cost. And the non-inductive algorithm is widely applied to the field of electric automobiles, and has larger influence and practical value.
The I/F flow frequency ratio control is carried out in the low-speed stage, the problem that the back electromotive force of a sliding mode observer is small when the sliding mode observer runs at low speed is solved, and the error generated by estimating the position and the speed of a rotor by extracting the back electromotive force of a motor is large is solved. The smooth switching from the low speed to the high speed has important significance for the whole automobile getting on the road of the electric automobile.
The problems of overlarge rotating speed and current vibration amplitude generated by a low-speed to high-speed motor are solved, and the smooth switching from the low speed to the high speed of a non-inductive system of the motor is realized.
It should be understood that parts of the specification not set forth in detail are well within the prior art.
Although specific embodiments of the present invention have been described above with reference to the accompanying drawings, it will be appreciated by those skilled in the art that these are merely illustrative and that various changes or modifications may be made to these embodiments without departing from the principles and spirit of the invention. The scope of the invention is only limited by the appended claims.

Claims (1)

1. A method for improving the estimation performance of a permanent magnet synchronous motor without a position sensor is characterized by comprising the following steps:
step 1, establishing a mathematical model of a permanent magnet synchronous motor; decoupling the position information of the rotor into a motor extended back electromotive force mathematical model:
Figure FDA0002547773660000011
transforming the formula (1) into a two-phase static coordinate system through Park inverse transformation to obtain a mathematical model of the motor under the static two-phase coordinate system, wherein a motor stator voltage equation is as follows:
Figure FDA0002547773660000012
rewriting formula (1) to:
Figure FDA0002547773660000013
wherein u isα、uβIs the stator voltage component on axis of the stationary reference frame αβd、uqThe direct axis voltage and quadrature axis voltage of the stator are obtained; i.e. id、iqThe direct axis current and quadrature axis current of the stator are obtained;
Figure FDA0002547773660000016
the direct axis flux linkage component and the quadrature axis flux linkage component of the stator are obtained; l isd、LqThe direct axis flux linkage component and the quadrature axis flux linkage component of the stator are obtained; omegaeIs the rotor speed; p is a differential operator; l is0=(Ld+Lq)/2,L1=(Ld-Lq)/2;
Step 2, establishing an I/F flow frequency ratio starting mathematical model; position angle generator set position angle
Figure FDA0002547773660000017
And d, carrying out dq- αβ coordinate transformation on the stator current, wherein the relation among the command position angle, the rotating speed and the acceleration is as follows:
Figure FDA0002547773660000014
ω*=∫kωdt (5)
starting current
Figure FDA0002547773660000015
And acceleration KωThe following relationship is followed:
Figure FDA0002547773660000021
p is a differential operator, J is a moment of inertia, KtIn order to be the torque coefficient of the motor,
Figure FDA0002547773660000022
estimating the torque current, TLmaxIs the maximum load torque;
step 3, constructing a sliding mode observer based on the extended back electromotive force model according to the extended back electromotive force model of the motor:
Figure FDA0002547773660000023
in the formula, eα=-Eextsinθe,eβ=EextcosθeExtended electromotive force components in α - β two-phase stationary coordinate systems;
Figure FDA0002547773660000024
the rotor position is extracted as follows:
Figure FDA0002547773660000025
wherein, | EextI is the extended back EMF amplitude, Δ e is the back EMF error value, θeIs the actual position of the rotor;
Figure FDA0002547773660000026
to estimate a rotor position;
when the angle error information is small, the above equation can be approximately equivalent to:
Figure FDA0002547773660000027
step 4, according to the constructed permanent magnet synchronous motor position-vector-free control system, the designated d for open-loop starting*q*Position angle of coordinate axis
Figure FDA0002547773660000028
Transition to rotor position angle theta according to set coefficientdExpressed as:
Figure FDA0002547773660000029
θcmdfor closed-loop control of angle, thetaestFor high-speed, non-inductive angle estimation, the parameter k determines the time required for the transition.
CN202010566364.1A 2020-06-19 2020-06-19 Method for improving estimation performance of permanent magnet synchronous motor without position sensor Pending CN111756288A (en)

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Cited By (7)

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Publication number Priority date Publication date Assignee Title
CN112436770A (en) * 2020-11-12 2021-03-02 东风汽车有限公司 Fault monitoring method for automobile motor speed sensor, electronic equipment and storage medium
CN112671298A (en) * 2021-01-13 2021-04-16 湖南进芯电子科技有限公司 Improved PLL (phase locked loop) non-inductive control system and algorithm for permanent magnet synchronous motor control
CN114513096A (en) * 2020-11-16 2022-05-17 无锡科铭新汽车电子系统有限公司 Speed measuring method for urea pump motor controller
CN115242154A (en) * 2022-07-13 2022-10-25 重庆大学 Self-adaptive smooth switching method for starting I-f to position sliding mode observer
WO2023029790A1 (en) * 2021-08-31 2023-03-09 Kinetic Technologies International Holdings Lp A method of determining initial speed for a synchronous motor and a controller therefor
CN117650722A (en) * 2023-11-30 2024-03-05 中国矿业大学 Permanent magnet outer rotor driving elevator stable hovering control system and method
US12126285B2 (en) 2023-09-08 2024-10-22 Kinetic Technologies International Holdings Lp Method of determining initial speed for a synchronous motor and a controller therefor

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CN110912485A (en) * 2019-12-09 2020-03-24 吉林大学 Permanent magnet synchronous motor position sensorless control method considering iron loss resistance

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Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112436770A (en) * 2020-11-12 2021-03-02 东风汽车有限公司 Fault monitoring method for automobile motor speed sensor, electronic equipment and storage medium
CN114513096A (en) * 2020-11-16 2022-05-17 无锡科铭新汽车电子系统有限公司 Speed measuring method for urea pump motor controller
CN112671298A (en) * 2021-01-13 2021-04-16 湖南进芯电子科技有限公司 Improved PLL (phase locked loop) non-inductive control system and algorithm for permanent magnet synchronous motor control
WO2023029790A1 (en) * 2021-08-31 2023-03-09 Kinetic Technologies International Holdings Lp A method of determining initial speed for a synchronous motor and a controller therefor
US11817806B2 (en) 2021-08-31 2023-11-14 Kinetic Technologies International Holdings Lp Method of determining initial speed for a synchronous motor and a controller therefor
CN115242154A (en) * 2022-07-13 2022-10-25 重庆大学 Self-adaptive smooth switching method for starting I-f to position sliding mode observer
CN115242154B (en) * 2022-07-13 2024-07-05 重庆大学 Self-adaptive smooth switching method for I-f starting to position sliding mode observer
US12126285B2 (en) 2023-09-08 2024-10-22 Kinetic Technologies International Holdings Lp Method of determining initial speed for a synchronous motor and a controller therefor
CN117650722A (en) * 2023-11-30 2024-03-05 中国矿业大学 Permanent magnet outer rotor driving elevator stable hovering control system and method
CN117650722B (en) * 2023-11-30 2024-06-04 中国矿业大学 Permanent magnet outer rotor driving elevator stable hovering control system and method

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