A Half-period Calculation Single Sampling Double Update-based Sensorless Control of Permanent Magnet Synchronous Motor under Low Carrier Ratio Conditions

doi:10.12382/bgxb.2024.0261

Abstract

Abstract:

The low-accuracy position estimation,large current ripples and weak stability in sensorless control of permanent magnet synchronous motors(PMSMs)based on lower-bridge current sampling topology under low-carrier ratio operations are resulted from the digital delay.For The issues above,a half-period calculation single-sampling double-update space vector pulse-width modulation(HSSDU-SVPWM) method is proposed.In this method, the phase current is sampled at a zero-crossing point of triangular carrier,and the target voltage vector is calculated in the half period after sampling.In considering the motor spin angle during digital delay,the target voltage vectors are outputted in the first half and the second half of the next pulse-width modulation(PWM)period,and are compensated with the equivalent delays of 0.75T_s and 1.25T_s,respectively,to reduce the error between the target voltage vector and the actual output voltage.Finally,the proposed method is applied to a sensorless control of PMSMs based on a model reference adaptive system(MRAS)speed observer.Comprehensive experiments verify that the proposed method can not only achieve more accurate position estimation and smaller current ripples,but also run stably at a rated load with a carrier ratio of 4.0.

Key words: permanent magnet synchronous motor, sensorless control, low carrier ratio, space vector pulse-width modulation, single-sampling double-update

WU Chun, SHI Shujuan, ZHU Chunqiao, ZHENG Luhua. A Half-period Calculation Single Sampling Double Update-based Sensorless Control of Permanent Magnet Synchronous Motor under Low Carrier Ratio Conditions[J]. Acta Armamentarii, 2025, 46(3): 240261-.

Figures/Tables 16

Fig.1 Time sequence of SSSU-SVPWM

Fig.2 Time sequence of FSSDU-SVPWM

Fig.3 Sampling update of the proposed HSSDU-SVPWM

Fig.4 Comparison of voltage amplitude attenuation factors and delay angles for three modulation methods.

Table 1 Comparison of different sampling update methods

方法	前补偿量	后补偿量	电流采样位置
SSSU	1.5T_s	1.5T_s	下桥臂或相线
FSSDU	1.25T_s	1.75T_s	下桥臂或相线
HSSDU	0.75T_s	1.25T_s	下桥臂或相线
DSDU	0.75T_s	0.75T_s	相线
MSMU	(T_s/n)~(1/n+0.25)T_s	相线

Fig.5 Voltage vector distribution of SVPWM

Fig.6 Switch sequence of SSDU-SVPWM

Fig.7 Experimental platform

Table 2 Parameters of test PMSM

参数	数值
额定电压/V	48
额定电流/A	10
额定转速/(r·min^-1)	3000
额定转矩/(N·m)	1.27
极对数	5
永磁体磁链/Wb	0.01156
定子电阻/Ω	0.16477
d轴电感/mH	0.181
q轴电感/mH	0.185

Fig.8 Control block diagram of PMSM based on HSSDU-SVPWM

Fig.9 Steady-state control performance(left)and current spectrum(right)of the sensorless control at 2000r/min(Nratio=6.0)under 85% rated load

Fig.10 Steady-state control performance(left)and current spectrum(right)of the sensorless control at 2550r/min(Nratio=4.7) under 85% rated load

Fig.11 Transient control performance of the sensorless control at 2000r/min (Nratio=6.0) under 50% rated load

Fig.12 Extreme test of the sensorless control at 3000r/min speed command (Nratio=4.0) under 100% rated load

Table 3 Performance comparison of lowest carrier ratio

方法	运行最高转速/ (r·min^-1)	最低 N_ratio	最低N_ratio 电流幅值/A
SSSU-SVPWM	1890	6.3	28
FSSDU-SVPWM	2460	4.9	24
HSSDU-SVPWM	3000	4.0	18

Fig.13 Terminal voltage and current ripple of HSSDU-SVPWM at 3000r/min(Nratio=4.0)under 100% rated load

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