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CN103986395B - A kind of surface-mount type initial position detection method for permanent magnet synchronous electric motor rotor - Google Patents

A kind of surface-mount type initial position detection method for permanent magnet synchronous electric motor rotor Download PDF

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Publication number
CN103986395B
CN103986395B CN201410191987.XA CN201410191987A CN103986395B CN 103986395 B CN103986395 B CN 103986395B CN 201410191987 A CN201410191987 A CN 201410191987A CN 103986395 B CN103986395 B CN 103986395B
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rotor
positive direction
axle
signal
axle positive
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CN103986395A (en
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刘兵
周波
刘海东
李洁
王龙
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Nanjing University of Aeronautics and Astronautics
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Nanjing University of Aeronautics and Astronautics
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Abstract

The invention discloses a kind of surface-mount type initial position detection method for permanent magnet synchronous electric motor rotor.The method is on the basis of utilizing high frequency signal injection method to realize first initial position estimation, then passes through to extractdIn shaft current response included in two times of Injection Signal frequency subharmonicdAxle positive direction information is carried outdAxle positive direction judges, the method compares the amplitude of current-responsive again without the extra positive negative pulse stuffing that injects, and shortens the estimation time, simplifies estimation procedure, reduces the requirement to current detection accuracy, and does not results in the fine motion of rotor, has widened application scenario.

Description

A kind of surface-mount type initial position detection method for permanent magnet synchronous electric motor rotor
Technical field
The invention belongs to Motor Control Field, be specially a kind of surface-mount type permanent-magnetic synchronous motor rotor initial position detection side Method.
Background technology
At present for initial position detection method for permanent magnet synchronous electric motor rotor, common injects with di/dt type and signal Type is main.
Yuzawa T,Tanaka K,Moriyama R,et al.An efficient estimation method of sensorless initial rotor position for surface PM synchronous motor[C]// Electric Machines and Drives Conference,2001.IEMDC2001.IEEE International.IEEE, 2001:44-49. utilize di/dt to detect rotor-position, are estimated rapidly by the method for binary search The initial position of meter rotor, but in identification process, need the rotor of fixing motor, and identification result is affected by slot effect;
Jia Hongping, He Yikang. permanent-magnet synchronous motor rotor initial position detection based on high-frequency signal injection research [J]. Proceedings of the CSEE, 2007,27 (15): 15-20. utilize high frequency signal injection to cause the change of inductance, hinder according to high frequency Relation between the position that anti-size and signal are injected is to obtain initial position of rotor, then compares the electricity of the positive negative direction of d axle Stream response amplitude judges d axle positive direction;Liu Ying, cycle, Li Shuai, etc. rotor magnetic steel surface-mount type permanent-magnetic synchronous motor rotor is initial Position detection [J]. Proceedings of the CSEE, first 2011,31 (18): 48-54. estimating rotor synchronous rotating frame D axle injects high frequency sinusoidal voltage signal, is obtained the first estimated value of rotor-position by closed loop regulation, under recycling different magnetic poles The different of d axle equivalent time constant judge d axle positive direction.Estimation procedure is all divided into by above-mentioned method based on high frequency electrocardiography First location estimation and d axle positive direction judge two stages, are both needed to inject amplitude phase at d axle in d axle positive direction judge process Deng generating positive and negative voltage pulse, utilize the diversity judgement d axle positive direction of current-responsive, the requirement to current detection accuracy of this kind of method Relatively higher, and estimation procedure needs to take some time, if simultaneously amplitude size and the persistent period of potential pulse select Improper may cause d axle positive direction judge make mistakes.
Summary of the invention
The present invention is on the basis of utilizing high frequency signal injection method to realize first initial position estimation, by extracting d axle electricity In stream response, the d axle positive direction information included in two times of Injection Signal frequency subharmonic carries out the judgement of d axle positive direction, it is not necessary to volume Outer injection positive negative pulse stuffing compares the amplitude of current-responsive again, shortens the estimation time, simplifies estimation procedure, reduces electric current The requirement of accuracy of detection, and do not result in the fine motion of rotor, widen application scenario.
For solving above-mentioned technical problem, the present invention proposes a kind of surface-mount type permanent-magnetic synchronous motor rotor initial position detection side Method, the method first obtains the first estimated value of rotor-position, then judges d axle positive direction, by first for rotor-position estimated value plus d axle Offset after positive direction judges is final initial position estimation value, wherein, it is judged that the process of d axle positive direction is as follows:
The d shaft current response of rotor synchronous rotating frame is estimated in detectionFirst passed through band filter and selected d The second harmonic component of shaft current responseBy second harmonic componentWith cosine signal cos (2 ωhT) it is multiplied and adjusts System, obtains DC component and frequency is 4 ωhAC compounent, wherein ωhFor injecting the angular frequency of high frequency voltage at d axle;Warp again Crossing low pass filter and filter AC compounent, extract DC component, this DC component is judgement information g (NS) of d axle positive direction, When g (NS) is extremely reverse with magnetic pole N more than 0 expression d axle positive direction, and the offset after d axle positive direction judges is π;When g (NS) is less than 0 represents d axle positive direction with magnetic pole N pole in the same direction, and the offset after d axle positive direction judges is 0.
Further priority scheme, in surface-mount type initial position detection method for permanent magnet synchronous electric motor rotor of the present invention, obtains The step of the first estimated value of rotor-position is as follows:
Step 1, estimate rotor synchronous rotating frame d axle inject high-frequency cosine voltage Uhmcos(ωhT), wherein, UhmFor injecting the amplitude of high frequency voltage at d axle, t represents current time;
Step 2, to estimating that the voltage signal injected on rotor synchronous rotating frame carries out Parker inverse transformation, obtain biphase Voltage signal u under static α β coordinate systemαAnd uβ, then use space vector pulse width modulation SVPWM to obtain six tunnels of three-phase inverter Switching signal, drives surface-mount type permagnetic synchronous motor SPMSM;
Any biphase current in step 3, detection motor three-phase windings A/B/C, first carries out Clarke transform and obtains biphase Current signal i under static α β coordinate systemαAnd iβ, then obtain estimating the d axle under rotor synchronous rotating frame through Park Transformation Current responsing signalSignal is responded with q shaft current
Step 4, will estimate rotor synchronous rotating frame q shaft current response signalSelect through band filter Frequency is ωhAC compounent be q shaft current response first harmonic component, then with sinusoidal signal sin (ωhT) it is multiplied and carries out Modulation, obtains DC component and frequency is 2 ωhAC compounent, eventually pass low pass filter and filter AC compounent, extract straight Flow component, obtains estimating position error signal;
Step 5, structure position deviation closed loop, will estimate the position error signal input as pi regulator, estimate rotor Angular velocityFor the output of actuator, to estimating rotor velocityIntegration obtains the rotor-position estimated, repeats step 1-5, Until the rotor-position estimated converges to a steady state value, it is the first estimated value of initial position of rotor.
The present invention compared with prior art has following significant advantage: judge d axle positive direction process in (1) present invention In, the voltage of injection is always cosine high-frequency signal, it is not necessary to injects positive negative pulse stuffing voltage, simplifies estimation procedure;(2) by carrying The d axle positive direction information included in two times of Injection Signal frequency subharmonic that takes in the response of d shaft current judges, it is not necessary to extra Inject positive negative pulse stuffing and compare the amplitude of current-responsive again, shorten the estimation time, reduce the requirement to current detection accuracy; (3) the small inertia machinery jitter problem that may cause during avoiding generating positive and negative voltage impulses injection, can be used on electric machine rotation and is used to Measure little, rotor-position shake during initial position estimation is had the occasion of strict demand.
The present invention is described in further detail with detailed description of the invention below in conjunction with the accompanying drawings;
Accompanying drawing explanation
Fig. 1 is the theory diagram of surface-mount type permanent-magnetic synchronous motor rotor initial position estimation process;
Fig. 2 is biphase rest frame, actual biphase synchronous rotating frame and estimates biphase synchronous rotating frame Relativeness schematic diagram;
Fig. 3 is the signal extraction theory diagram with modulated process of first initial position estimation;
Fig. 4 is the signal extraction theory diagram with modulated process of d axle positive direction judgement;
Fig. 5 (a) be motor actual rotor position be the oscillogram of corresponding g (NS) in the case of 1rad;
Fig. 5 (b) be motor actual rotor position be 1rad, surface-mount type permanent-magnetic synchronous motor rotor initial position estimation process Simulation waveform;
Fig. 5 (c) be motor actual rotor position be the oscillogram of corresponding g (NS) in the case of 3rad;
Fig. 5 (d) be motor actual rotor position be 3rad, surface-mount type permanent-magnetic synchronous motor rotor initial position estimation process Simulation waveform;
Fig. 6 (a) is that motor actual rotor position isRad, surface-mount type permanent-magnetic synchronous motor rotor initial position estimation mistake The experimental waveform of journey;
Fig. 6 (b) be motor actual rotor position be π rad, surface-mount type permanent-magnetic synchronous motor rotor initial position estimation process Experimental waveform.
Detailed description of the invention
As it is shown in figure 1, the present invention provides a kind of surface-mount type initial position detection method for permanent magnet synchronous electric motor rotor, specifically wrap Include following steps:
Step 1, set up coordinate system graph of a relation, as in figure 2 it is shown, d-q is actual synchronization rotating coordinate system,For estimating Rotor synchronous rotating frame, alpha-beta is actual biphase rest frame, and defines Estimated Position ErrorWherein, θ is actual rotor initial position,For location estimation value,Initial value be 0;
Step 2, estimate rotor synchronous rotaryThe d axle of coordinate system injects high-frequency cosine voltage Q axle to determining voltage signal,Wherein, UhmFor injecting the amplitude of high frequency voltage at d axle, t represents current time;
Step 3, to estimating that the voltage signal injected on rotor synchronous rotating frame carries out Parker inverse transformation, obtain reality Voltage signal u under biphase static alpha-beta coordinate systemαAnd uβ, then use space vector pulse width modulation SVPWM to obtain six way switch letters Number, control three-phase full-bridge inverter, injecting voltage signal in permanent-magnetic synchronous motor stator winding;
Any biphase current in step 4, detection motor three-phase windings A/B/C, first carries out Clarke transform and obtains reality Current signal i under biphase static alpha-beta coordinate systemαAnd iβ, then obtain estimating rotor synchronous rotary through Park TransformationSit D shaft current response signal under mark systemSignal is responded with q shaft current
Step 5 will be as it is shown on figure 3, rotor synchronous rotary will be estimatedThe q shaft current response signal of coordinate systemPass through Frequency selected by band filter is ωhAC compounent be q shaft current response first harmonic componentBelieve with sine again Number sin (ωhT) it is multiplied and is modulated, obtain DC component and frequency is 2 ωhAC compounent, eventually pass low pass filter Filter AC compounent, extract DC component, obtain estimating position error signal f (Δ θ);
Step 6 is as it is shown on figure 3, PI is proportional and integral controller, and I is integral controller, builds position deviation closed loop, will Estimate the position error signal f (Δ θ) input as pi regulator, estimate rotor velocityFor the output of actuator, to estimating Meter rotor velocityIntegration obtains the rotor-position estimated, repeats step 2-6, until the rotor-position estimated converges to a perseverance Definite value, is the first estimated value of initial position of rotor
Step 7, as shown in Figure 4, it is judged that d axle positive direction, the d shaft current response of rotor synchronous rotating frame is estimated in detectionFirst passed through band filter and selected the second harmonic component of d shaft current responseBy second harmonic componentWith Cosine signal cos (2 ωhT) it is multiplied and is modulated, obtain DC component and frequency is 4 ωhAC compounent, wherein ωhFor at d Axle injects the angular frequency of high frequency voltage;Filtering AC compounent through low pass filter again, extract DC component, this DC component is i.e. For judgement information g (NS) of d axle positive direction, representing that d axle positive direction and magnetic pole N are extremely reverse when g (NS) is more than 0, d axle positive direction is sentenced The offset θ having no progenyc=π, i.e.For final initial position estimation value;When g (NS) is less than 0 expression d axle positive direction With magnetic pole N pole in the same direction, the offset after d axle positive direction judges is θc=0, i.e.
As follows to the theory analysis judging d axle positive direction, when injecting pulsating high frequency voltage at the d direction of principal axis estimated, by Can produce saturated under the effect of current-responsive in d axle magnetic field, when d axial flow crosses forward current, inductance reduces, and d axial flow crosses negative sense electricity During stream, inductance increases;Q axle magnetic field is in linear zone all the time, and q axle inductance remains unchanged.Definition d axle inductance is Ld, q axle inductance is Lq, then LdSize with d shaft current idT () changes, and LqConstant magnitude.Defined function h (t)=Lq/Ld(id(t)), h (t) Cycle T=2 π/ωh, it can use Fourier space to be expressed as h ( t ) = a 0 2 + Σ n = 1 ∞ [ a n cos ( nω h t ) + b n sin ( nω h t ) ] , In formula:
a 0 2 = 1 T ∫ 0 T h ( t ) dt , a n = 2 T ∫ 0 T h ( t ) cos ( nω h t ) dt , b n = 2 T ∫ 0 T h ( t ) sin ( n ω h t ) dt ; N represents n-th harmonic Component;
The rule met according to h (t), and ignore three times and the harmonic component of more than three times, h (t) can be the most whole Manage intoIn formula:
λ 0 = a 0 2 = 1 T ∫ 0 T h ( t ) dt , λ 1 = b 1 = 2 T ∫ 0 T h ( t ) sin ( ω h t ) dt , λ 2 = - a 2 = - 2 T ∫ 0 T h ( t ) cos ( 2 ω h t ) dt
Although d axle inductance is with curent change, but its value approximation is equal with q axle inductance, and therefore their ratio h (t) is attached 1 Nearly fluctuation, thus obtain λ0>0;
Under the effect of high frequency voltage, if ignoring stator resistance, d axle impedance is pure perception, current-responsive idT () is with frequency The composition of rate is main, thusI in formuladmIt is the amplitude of d shaft current, owing to d axle is made at forward current Saturated with lower generation, inductance reduces, and therefore hands over, ratio h (t) of d axle inductance is with d shaft current idThe increase of (t) and increase, thus λ can be obtained1>0。
It is an angle relevant to pole orientation, when judging that d axle positive direction and magnetic pole N pole are in the same direction,When When judging that d axle positive direction and magnetic pole N are extremely reversely,
According to correlation analysis and theoretical derivation, it is considered to the saturated characteristic of d axle inductance, the d shaft current response of estimation is:
After first initial position estimation terminates, Δ θ=0 or Δ θ=π, therefore cos (2 Δ θ)=1, thus obtain:
If can judge by the way of certainSymbol, just can judge d axle positive direction, select the d estimated here The second harmonic component of shaft current responseIt is modulated judging d axle positive direction, secondary is humorous Wave component and cosine signal cos (2 ωhT) it is multiplied and is modulated, it may be assumed that
The signal packet obtained is 4 ω containing DC component and frequencyhAC compounent, eventually pass low pass filter (LPF) Filter AC compounent, extract DC component, obtain d axle positive direction and judge information g (NS):
It follows that utilize the symbol of g (NS) i.e. to can determine whether d axle positive direction, when g (NS) is more than 0,It is negative,G (NS) is less than 0 expressionFor just,
As shown in Fig. 5 (a) and Fig. 5 (b), corresponding actual rotor initial position is 1rad, and d axle positive direction judges information g (NS) less than 0, represent that d axle positive direction is with magnetic pole N pole in the same direction, it is not necessary to estimating position for the first timeCarry out angle compensation, θc=0, Final initial position estimation value isAs shown in Fig. 5 (c), Fig. 5 (d), corresponding actual rotor initial position is 3rad, d axle Positive direction judges that information g (NS), more than 0, represents that d axle positive direction and magnetic pole N are extremely reverse, need to be to estimating position for the first timeCompensate π arc Degree, θc=π, final initial position estimation value is θ ^ 1 = θ ^ 0 + π .
As shown in Fig. 6 (a), corresponding actual rotor initial position isRad, d axle positive direction judges that information g (NS) is less than 0, Represent that d axle positive direction is with magnetic pole N pole in the same direction, it is not necessary to estimating position for the first timeCarry out angle compensation, θc=0, final initial bit Putting estimated value isActual rotor initial position as corresponding in Fig. 6 (b) is π rad, and d axle positive direction judges that information g (NS) is more than 0, represent that d axle positive direction and magnetic pole N are extremely reverse, need to be to estimating position for the first timeCompensate π radian, θc=π, final initial position is estimated Evaluation is

Claims (1)

1. a surface-mount type initial position detection method for permanent magnet synchronous electric motor rotor, the method first obtains rotor-position and estimates for the first time Value, then judge d axle positive direction, at the beginning of the offset after being judged plus d axle positive direction by first for rotor-position estimated value is finally Beginning location estimation value, it is characterised in that the step obtaining the first estimated value of rotor-position is as follows:
Step 1, estimate rotor synchronous rotating frame d axle inject high-frequency cosine voltage Uhm cos(ωhT), wherein, UhmFor Inject the amplitude of high frequency voltage at d axle, t represents current time;
Step 2, to estimating that the voltage signal injected on rotor synchronous rotating frame carries out Parker inverse transformation, obtain biphase static Voltage signal u under alpha-beta coordinate systemαAnd uβ, then six tunnels using space vector pulse width modulation SVPWM to obtain three-phase inverter open OFF signal, drives surface-mount type permagnetic synchronous motor SPMSM;
Any biphase current in step 3, detection motor three-phase windings A/B/C, first carries out Clarke transform and obtains biphase static Current signal i under alpha-beta coordinate systemαAnd iβ, then the d axle electricity estimating under rotor synchronous rotating frame is obtained through Park Transformation Stream response signalSignal is responded with q shaft current
Step 4, will estimate rotor synchronous rotating frame q shaft current response signalSelecting frequency through band filter is ωhAC compounent be q shaft current response first harmonic component, then with sinusoidal signal sin (ωhT) it is multiplied and is modulated, Obtain DC component and frequency is 2 ωhAC compounent, eventually pass low pass filter and filter AC compounent, extract direct current and divide Amount, obtains estimating position error signal;
Step 5, structure position deviation closed loop, will estimate the position error signal input as pi regulator, estimate rotor angle speed DegreeFor the output of pi regulator, to estimating rotor velocityIntegration obtains the rotor-position estimated, repeats step 1-5, until The rotor-position estimated converges to a steady state value, is the first estimated value of initial position of rotor;
Judge that the process of d axle positive direction is as follows:
The d shaft current response of rotor synchronous rotating frame is estimated in detectionFirst passed through band filter and selected d shaft current The second harmonic component of responseBy second harmonic componentWith cosine signal cos (2 ωhT) it is multiplied and is modulated, obtain DC component and frequency are 4 ωhAC compounent, wherein ωhFor injecting the angular frequency of high frequency voltage at d axle;Again through low pass filtered Ripple device filters AC compounent, extracts DC component, and this DC component is judgement information g (NS) of d axle positive direction, as g (NS) Representing that more than 0 d axle positive direction and magnetic pole N are extremely reverse, the offset after d axle positive direction judges is π;When g (NS) is less than 0 expression d With magnetic pole N pole in the same direction, the offset after d axle positive direction judges is 0 to axle positive direction.
CN201410191987.XA 2014-05-07 2014-05-07 A kind of surface-mount type initial position detection method for permanent magnet synchronous electric motor rotor Expired - Fee Related CN103986395B (en)

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