CN106411189A - Gyro permanent magnet synchronous motor sensorless control system - Google Patents

Gyro permanent magnet synchronous motor sensorless control system Download PDF

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Publication number
CN106411189A
CN106411189A CN201610972205.5A CN201610972205A CN106411189A CN 106411189 A CN106411189 A CN 106411189A CN 201610972205 A CN201610972205 A CN 201610972205A CN 106411189 A CN106411189 A CN 106411189A
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current
gyro
synchronous motor
frequency
signal
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CN106411189B (en
Inventor
马官营
李玉猛
朱梦如
李建朋
王冲
李建鹏
岳文杰
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Beijing Institute of Control Engineering
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Beijing Institute of Control Engineering
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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
    • H02P6/00Arrangements for controlling synchronous motors or other dynamo-electric motors using electronic commutation dependent on the rotor position; Electronic commutators therefor
    • H02P6/10Arrangements for controlling torque ripple, e.g. providing reduced torque ripple
    • 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
    • H02P6/005Arrangements for controlling doubly fed motors
    • 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 provides a gyro permanent magnet synchronous motor sensorless control system which comprises a speed loop and a current loop. The speed loop comprises a phase locked loop II, a frequency division module, a back EMF zero crossing comparison circuit, and a back EMF extraction circuit. The current loop comprises a phase locked loop I, a sine wave current generator, a current controller, a linear power amplification circuit, and a current detection circuit. The back EMF extraction circuit generates an opposite potential extraction circuit. The back EMF zero crossing comparison circuit generates a zero crossing pulse signal. The frequency division module carries out frequency division to obtain a mechanical frequency square wave signal. The phase locked loop II generates sine wave current generator amplitude setting. The phase locked loop I generates sine wave current generator frequency setting. The sine wave current generator generates the setting sine current of the current loop. The current detection circuit collects a phase current signal. The current controller obtains an operation result, amplifies the operation result, and sends the result to an external gyro permanent magnet synchronous motor, and the motor driving control is completed.

Description

A kind of gyro sensor-free control system of permanent magnet synchronous motor
Technical field
The present invention relates to control system for permanent-magnet synchronous motor, particularly a kind of gyro permagnetic synchronous motor sensorless strategy System.
Background technology
Three floating gyros pass through to substitute hysteresis machine using magneto in high precision, improve motor speed stability, reduce Power of motor loss, improves Gyro Precision.Magneto generally requires a set of rotor-position sensor, and such as grating, rotation becomes Deng, to realize commutation, but limited by motor down-lead and gyro spatial volume, gyro magneto cannot installation site sensing Device, is therefore directed to gyro magneto both at home and abroad and typically adopts method for controlling position-less sensor.
Existing gyro magneto adopts brshless DC motor mostly, and its main cause is that drive control method is simple, And the overwhelming majority takes PWM square wave and drives." the high accuracy fixed speed control of brushless DC gyro motor " (Chinese inertial technology Report volume 11 in December, 2003 the 6th phase) a civilian PWM driving method employing three-phase tri-state for brushless DC gyro motor. " research based on DSP and ML4428 brushless DC gyro motor phase-lock speed control " (Chinese inertial technology journal volume 13 the 4th Phase in August, 2005) literary grace carries out PWM driving with the method for three-phase six-beat to brushless DC gyro motor.Due to gyro permanent magnetism The stator of motor adopts iron-free core structure mostly, thus results in stator winding inductance very little, so being driven using PWM square wave When Stator Current Harmonic can increase, this can cause torque ripple increase, thus being unfavorable for improving gyro magneto further Speed stability.
For permagnetic synchronous motor sensorless strategy, the entitled permanent magnet synchronous electric of Chinese patent CN201010508205.2 The sensorless control system of machine proposes sliding mode observer method, and " the PMSM speed based on neutral net and position self adaptation are seen The design of survey device " (Proceedings of the CSEE volume 12 in December, 2002 the 22nd phase) literary composition proposes neural network algorithm, " ash Color predicted method PMSM sensorless control system " (Electric Machines and Control's volume 6 o. 11th in November, 2007), Chinese patent CN201310289582.5 is entitled to propose extension karr based on the permagnetic synchronous motor vector control system without sensor of EKF Graceful filter method, " the sensor-less operation researchs of two kinds of High Frequency Injections " (Proceedings of the CSEE the 25th phase of volume 5 In March, 2005) literary composition proposes High Frequency Injection.Although intelligent algorithm has certain general applicability, it is right The arithmetic programming answered is typically complex, thus being difficult to through engineering approaches application;Compared with intelligent algorithm, High Frequency Injection is realized Relatively easy, but it depends on the saliency of rotor, and the rotor of gyro permagnetic synchronous motor generally adopts hidden pole type Structure and stator non iron-core, are difficult to be utilized in this way.Additionally, the PID control precision of routine is difficult to meet high accuracy top The requirement of spiral shell property superregulated to motor speed, and have not yet to see the synchronous electricity of high-speed permanent magnetic for position-sensor-free The high speed stability control method of machine.
Content of the invention
Present invention solves the technical problem that being:Overcome the deficiencies in the prior art, there is provided a kind of gyro permagnetic synchronous motor Sensorless control system, complicated for existing permagnetic synchronous motor sensorless strategy method, motor speed stability is not High shortcoming, by the double-closed-loop control being constituted using speed closed loop and current closed-loop, is carried out to back-emf zero-crossing pulse signal The frequency that frequency multiplication produces sine-wave current generator gives, will be electric as sine with the speed discrepancy of reference rotation velocity for motor actual speed Stream amplitude gives, and carries out PGC demodulation to sinusoidal current and opposite potential signal, to realize gyro permanent magnet synchronous electric engine efficiency The square-wave signal representing motor speed is carried out Frequency Locking with given square-wave signal, thus it is high to realize motor by bigization simultaneously Speed stability.
The technical solution of the present invention is:A kind of gyro sensor-free control system of permanent magnet synchronous motor, including speed Ring, electric current loop, speed ring includes phaselocked loop II, frequency division module, back-emf Zero-cross comparator circuit, opposite potential extraction circuit, electricity Stream ring includes phaselocked loop I, sine-wave current generator, current controller, power linear amplifying circuit, current detection circuit, its In
Opposite potential extracts circuit, obtains contrary electricity after the terminal voltage signal receiving outside gyro permagnetic synchronous motor output Gesture signal, and opposite potential signal is delivered to opposite potential Zero-cross comparator circuit, wherein, opposite potential extracts the construction base of circuit Terminal voltage equation in outside gyro permagnetic synchronous motor;
Opposite potential Zero-cross comparator circuit, carries out Zero-cross comparator to opposite potential signal and obtains zero-crossing pulse signal, and will Zero-crossing pulse signal delivers to the phaselocked loop I in electric current loop, the frequency division module in speed ring respectively;
Frequency division module, carries out frequency dividing after receiving zero-crossing pulse signal and obtains mechanical frequency square-wave signal and deliver to phaselocked loop Ⅱ;
Phaselocked loop II, obtains given square wave from outside, then mechanical frequency square-wave signal is carried out with given square-wave signal Phase demodulation, LPF, obtain representing gyro permagnetic synchronous motor actual speed and gyro permagnetic synchronous motor reference rotation velocity difference Digital quantity, and the digital quantity representing speed discrepancy is delivered to the sine-wave current generator in electric current loop, as sinusoidal current amplitude Given;The frequency of described given square-wave signal is equal to the corresponding mechanical frequency of gyro permagnetic synchronous motor reference rotation velocity;
Phaselocked loop I, carries out frequency multiplication generation frequency and gives and deliver to sine-wave current generator to zero-crossing pulse signal;Simultaneously Frequency is given, zero-crossing pulse signal enters horizontal lock, so that the phase alignment of given sinusoidal current and opposite potential signal;Its In, frequency gives and the frequency of zero-crossing pulse signal is equal to outside gyro permanent-magnetic synchronous motor rotor 0 to 360 degree electrical angle Isodisperse;
Sine-wave current generator, receives frequency produces sinusoidal table addressing using counter after giving, and is sought according to sine table Location is searched sine table and is obtained the corresponding sine value in outside gyro permagnetic synchronous motor current rotor position, then by current sinusoidal value The product giving with sinusoidal current amplitude delivers to D/A converter;Described counter is cyclic counter, and maximum count value is equal to Outside gyro permanent-magnetic synchronous motor rotor 0 to 360 spends the isodisperse of electrical angle;Described sine table includes 0 to the 360 all angles of degree Spend corresponding sine value;
D/A converter, carries out digital-to-analogue conversion to sinusoidal current value, obtains sinusoidal current waveform and delivers to current controller;
Current detection circuit, the phase current signal of collection outside gyro permagnetic synchronous motor output simultaneously delivers to current control Device;
Current controller, carries out proportional integral computing to phase current signal, given sinusoidal current ripple, the operation result obtaining Deliver to power linear amplifying circuit;
Power linear amplifying circuit, carries out to current controller operation result delivering to outside gyro permanent magnetism after power amplification together Step motor, completes drive and control of electric machine.
Described phaselocked loop I includes multiplier unit, phase locking unit;Multiplier unit, carries out frequency multiplication product to zero-crossing pulse signal Raw frequency Setting signal delivers to sine-wave current generator, and phase locking unit is locked to frequency Setting signal and zero-crossing pulse signal Phase, so that the phase alignment of sinusoidal current and opposite potential signal.
Described phaselocked loop II includes phase demodulation unit, low-pass filter unit;Phase demodulation unit, obtains given square wave from outside, Then phase demodulation is carried out to mechanical frequency square-wave signal and given square-wave signal, the data-signal that phase demodulation is obtained delivers to LPF Unit carries out LPF, obtains representing gyro permagnetic synchronous motor actual speed and gyro permagnetic synchronous motor reference rotation velocity is poor Digital quantity, and the digital quantity representing speed discrepancy is delivered to the sine-wave current generator in electric current loop, as sinusoidal current width Value is given.
Present invention advantage compared with prior art is:
(1) control system of the present invention is passed through the motor speed control technology based on phaselocked loop, linear drive technology, is based on The rotor position estimate method of phaselocked loop is combined, and solves the high rotating speed of high speed gyro permagnetic synchronous motor position-sensor-free A stability control difficult problem, greatly reduces the torque ripple of motor, compared with traditional control method, makes gyro permanent magnet synchronous electric The speed stability of machine improves an order of magnitude;
(2) control system of the present invention is right by being carried out the phase place of stator phase currents and opposite potential using electric current phaselocked loop Together, compared with prior art there is the maximized advantage of gyro permagnetic synchronous motor operating efficiency.
Brief description
Fig. 1 is a kind of present invention gyro sensor-free control system of permanent magnet synchronous motor structure composition figure;
Fig. 2 is that in control system of the present invention, phaselocked loop I forms;
Fig. 3 is that in control system of the present invention, phaselocked loop II forms.
Specific embodiment
The present invention is directed to the deficiencies in the prior art, proposes a kind of gyro sensor-free control system of permanent magnet synchronous motor, with Prior art is compared present system gyro machine and is adopted permagnetic synchronous motor, and permagnetic synchronous motor is with brshless DC motor not With part be permagnetic synchronous motor unloaded counter potential waveform be sine wave, according to motor operation principle, permagnetic synchronous motor Optimal drive mode be sine wave drive.In commercial Application, the implementation of permagnetic synchronous motor sine wave drive is most absolutely Number employs the digital methods such as space vector pulse width modulation or sinusoidal pulse width modulation, and the method advantage is that control realization is simple, lacks Point is to produce current harmonics, thus leading to torque ripple, affects speed stability, thus is difficult to meet gyro this high-accuracy The instrument requirement high to speed stability, therefore present system adopt sine wave Linear Driving scheme.Have not yet to see For the high speed stability control method of the high-speed permanent magnetic synchronous motor of position-sensor-free, so present system proposes Based on the gyro permagnetic synchronous motor sensorless strategy method of all-digital phase-locked loop, below in conjunction with the accompanying drawings present system is entered Row describes in detail.
It is illustrated in figure 1 gyro sensor-free control system of permanent magnet synchronous motor structure composition figure of the present invention, system of the present invention System includes speed ring, electric current loop, and speed ring includes phaselocked loop II, frequency division module, back-emf Zero-cross comparator circuit, opposite potential carry Sense circuit, electric current loop includes phaselocked loop I, sine-wave current generator, current controller, power linear amplifying circuit, electric current inspection Slowdown monitoring circuit.
Opposite potential extracts circuit, receives the terminal voltage signal of gyro permagnetic synchronous motor output, gyro permanent magnet synchronous electric The terminal voltage signal of machine output extracts circuit through opposite potential and obtains opposite potential signal, opposite potential Zero-cross comparator circuit pair Opposite potential signal carries out Zero-cross comparator and obtains zero-crossing pulse signal, and zero-crossing pulse signal delivers to the phaselocked loop in electric current loop respectively Ith, the frequency division module in speed ring, wherein, opposite potential extracts the terminal voltage constructing based on gyro permagnetic synchronous motor of circuit Equation.
Frequency division module, carries out frequency dividing after receiving zero-crossing pulse signal and obtains mechanical frequency square-wave signal and deliver to phaselocked loop Ⅱ;Phaselocked loop II, obtains given square wave from outside, then mechanical frequency square-wave signal and given square-wave signal are carried out phase demodulation, LPF, obtains representing the numeral of gyro permagnetic synchronous motor actual speed and gyro permagnetic synchronous motor reference rotation velocity difference Amount, and the digital quantity representing speed discrepancy is delivered to the sine-wave current generator in electric current loop, give as sinusoidal current amplitude; Wherein, the frequency of given square-wave signal is equal to the corresponding mechanical frequency of gyro permagnetic synchronous motor reference rotation velocity.
Phaselocked loop I, carries out frequency multiplication generation frequency and gives and deliver to sine-wave current generator to zero-crossing pulse signal;Simultaneously Frequency is given and zero-crossing pulse signal enters horizontal lock, so that the phase alignment of given sinusoidal current and opposite potential signal, So that the efficiency of gyro permagnetic synchronous motor to be driven is maximum.
Sine-wave current generator, receives frequency gives and produces sinusoidal table addressing after counter, and sinusoidal table addressing is sent The corresponding sine value in current rotor position is found out, the product that sine value is given with sinusoidal current amplitude delivers to DA after entering sine table Converter;Wherein, the maximum count value of counter is equal to the isodisperse that electrical angle spent by rotor 0 to 360, and sine table includes all 0 To the corresponding sine value of 360 degree of electrical angles.
D/A converter, carries out digital-to-analogue conversion to given sinusoidal current value, obtains given sinusoidal current waveform and delivers to electric current Controller.
Current detection circuit, the phase current signal of collection outside gyro permagnetic synchronous motor output simultaneously delivers to current control Device.
Current controller, carries out proportional integral computing to phase current signal, given sinusoidal current ripple, the operation result obtaining Deliver to power linear amplifying circuit.
Power linear amplifying circuit, carries out to current controller operation result delivering to outside gyro permanent magnetism after power amplification together Step motor, completes drive and control of electric machine.
It is illustrated in figure 2 phaselocked loop I composition, phaselocked loop I includes multiplier unit, phase locking unit;Multiplier unit, to zero passage arteries and veins Rush signal to carry out frequency multiplication and produce frequency give and delivering to sine-wave current generator, phase locking unit is given to frequency and zero-crossing pulse Signal enters horizontal lock, so that the phase alignment of given sinusoidal current and opposite potential signal, so that gyro to be driven The efficiency of permagnetic synchronous motor is maximum.
Accompanying drawing 3 show phaselocked loop II composition, and phaselocked loop II includes phase demodulation unit, low-pass filter unit;Phase demodulation unit, from Outside acquisition gives square wave, then carries out phase demodulation to mechanical frequency square-wave signal and given square-wave signal, the number that phase demodulation is obtained It is believed that number delivering to low-pass filter unit to carry out LPF, obtain representing gyro permagnetic synchronous motor actual speed and gyro permanent magnetism The digital quantity of synchronous motor reference rotation velocity difference, and the digital quantity representing speed discrepancy is delivered to the sine-wave current generation in electric current loop Device, gives as sinusoidal current amplitude.
The content not being described in detail in description of the invention belongs to the known technology of those skilled in the art.

Claims (3)

1. a kind of gyro sensor-free control system of permanent magnet synchronous motor is it is characterised in that include speed ring, electric current loop, speed ring Including phaselocked loop II, frequency division module, back-emf Zero-cross comparator circuit, opposite potential extract circuit, electric current loop include phaselocked loop I, Sine-wave current generator, current controller, power linear amplifying circuit, current detection circuit, wherein
Opposite potential extracts circuit, obtains opposite potential letter after the terminal voltage signal receiving outside gyro permagnetic synchronous motor output Number, and opposite potential signal is delivered to opposite potential Zero-cross comparator circuit, wherein, opposite potential extracts the construction of circuit based on outer The terminal voltage equation of portion's gyro permagnetic synchronous motor;
Opposite potential Zero-cross comparator circuit, carries out Zero-cross comparator to opposite potential signal and obtains zero-crossing pulse signal, and by zero passage Pulse signal delivers to the phaselocked loop I in electric current loop, the frequency division module in speed ring respectively;
Frequency division module, carries out frequency dividing after receiving zero-crossing pulse signal and obtains mechanical frequency square-wave signal and deliver to phaselocked loop II;
Phaselocked loop II, obtains given square wave from outside, then mechanical frequency square-wave signal and given square-wave signal are carried out phase demodulation, LPF, obtains representing the numeral of gyro permagnetic synchronous motor actual speed and gyro permagnetic synchronous motor reference rotation velocity difference Amount, and the digital quantity representing speed discrepancy is delivered to the sine-wave current generator in electric current loop, give as sinusoidal current amplitude; The frequency of described given square-wave signal is equal to the corresponding mechanical frequency of gyro permagnetic synchronous motor reference rotation velocity;
Phaselocked loop I, carries out frequency multiplication generation frequency and gives and deliver to sine-wave current generator to zero-crossing pulse signal;Simultaneously to frequency Rate gives, zero-crossing pulse signal enters horizontal lock, so that the phase alignment of given sinusoidal current and opposite potential signal;Wherein, Frequency give with the frequency of zero-crossing pulse signal be equal to outside gyro permanent-magnetic synchronous motor rotor 0 to 360 spend electrical angle etc. Fraction;
Sine-wave current generator, receives frequency produces sinusoidal table addressing using counter after giving, and is looked into according to sinusoidal table addressing Look for sine table to obtain the corresponding sine value in outside gyro permagnetic synchronous motor current rotor position, then by current sinusoidal value with just The product that string current amplitude gives delivers to D/A converter;Described counter is cyclic counter, and maximum count value is equal to outside Gyro permanent-magnetic synchronous motor rotor 0 to 360 spends the isodisperse of electrical angle;It is angled right that described sine table includes 0 to 360 degree institute The sine value answered;
D/A converter, carries out digital-to-analogue conversion to sinusoidal current value, obtains sinusoidal current waveform and delivers to current controller;
Current detection circuit, the phase current signal of collection outside gyro permagnetic synchronous motor output simultaneously delivers to current controller;
Current controller, carries out proportional integral computing to phase current signal, given sinusoidal current ripple, the operation result obtaining is delivered to Power linear amplifying circuit;
Power linear amplifying circuit, carries out delivering to outside gyro permanent magnet synchronous electric after power amplification to current controller operation result Machine, completes drive and control of electric machine.
2. a kind of gyro sensor-free control system of permanent magnet synchronous motor according to claim 1 it is characterised in that:Described Phaselocked loop I include multiplier unit, phase locking unit;Multiplier unit, carries out frequency multiplication and produces the given letter of frequency to zero-crossing pulse signal Number deliver to sine-wave current generator, phase locking unit enters horizontal lock to frequency Setting signal and zero-crossing pulse signal, so that just String electric current and the phase alignment of opposite potential signal.
3. a kind of gyro sensor-free control system of permanent magnet synchronous motor according to claim 1 it is characterised in that:Described Phaselocked loop II include phase demodulation unit, low-pass filter unit;Phase demodulation unit, obtains given square wave from outside, then to machinery frequency Rate square-wave signal and given square-wave signal carry out phase demodulation, and the data-signal that phase demodulation is obtained is delivered to low-pass filter unit and carried out low pass Filtering, obtains representing the digital quantity of gyro permagnetic synchronous motor actual speed and gyro permagnetic synchronous motor reference rotation velocity difference, and The digital quantity representing speed discrepancy is delivered to the sine-wave current generator in electric current loop, give as sinusoidal current amplitude.
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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108540034A (en) * 2018-05-15 2018-09-14 北京控制工程研究所 A kind of permanent magnet synchronous motor sensorless strategy phase compensating method and device
CN109412474A (en) * 2018-12-12 2019-03-01 上海航天控制技术研究所 A kind of control method of brushless direct current motor sine torque output
CN109586626A (en) * 2018-12-13 2019-04-05 张茂青 The encoderless driving method and device of servo motor in the integrated joint assembly of robot
CN115016114A (en) * 2021-03-03 2022-09-06 中国科学院苏州纳米技术与纳米仿生研究所 Laser scanning system and method

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JPH08223970A (en) * 1995-02-16 1996-08-30 Sony Corp Motor drive
CN103997270A (en) * 2014-06-09 2014-08-20 浙江理工大学 Sensorless vector control device and method for non-salient pole type permanent magnet synchronous motor
CN105071736A (en) * 2015-08-11 2015-11-18 泰州职业技术学院 Method for detecting position of sensorless rotor of PMSM for blower fan
CN105450101A (en) * 2015-12-29 2016-03-30 西安中科光电精密工程有限公司 Driving method and circuit for permanent magnet synchronous motor
CN105827160A (en) * 2016-03-18 2016-08-03 浙江工业大学 Permanent magnet synchronous motor system sensorless speed control method based on active disturbance rejection and phase-locked loop technology

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Publication number Priority date Publication date Assignee Title
JPH08223970A (en) * 1995-02-16 1996-08-30 Sony Corp Motor drive
CN103997270A (en) * 2014-06-09 2014-08-20 浙江理工大学 Sensorless vector control device and method for non-salient pole type permanent magnet synchronous motor
CN105071736A (en) * 2015-08-11 2015-11-18 泰州职业技术学院 Method for detecting position of sensorless rotor of PMSM for blower fan
CN105450101A (en) * 2015-12-29 2016-03-30 西安中科光电精密工程有限公司 Driving method and circuit for permanent magnet synchronous motor
CN105827160A (en) * 2016-03-18 2016-08-03 浙江工业大学 Permanent magnet synchronous motor system sensorless speed control method based on active disturbance rejection and phase-locked loop technology

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108540034A (en) * 2018-05-15 2018-09-14 北京控制工程研究所 A kind of permanent magnet synchronous motor sensorless strategy phase compensating method and device
CN109412474A (en) * 2018-12-12 2019-03-01 上海航天控制技术研究所 A kind of control method of brushless direct current motor sine torque output
CN109586626A (en) * 2018-12-13 2019-04-05 张茂青 The encoderless driving method and device of servo motor in the integrated joint assembly of robot
CN115016114A (en) * 2021-03-03 2022-09-06 中国科学院苏州纳米技术与纳米仿生研究所 Laser scanning system and method

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