Abstract:Permanent magnet synchronous motors are widely used in industrial production and other fields due to their advantages of high power density, high reliability, and high efficiency. Real-time and accurate three-phase current feedback is the key to AC drive system control. Compared with the traditional multi-current sensor drive control, using a single current sensor to achieve three-phase current reconstruction can reduce costs and improve the reliability of the motor system under complex working conditions. Combined with the improved IRTPWM algorithm and the BSPWM algorithm, this paper forms a hybrid pulse width modulation algorithm to solve the low-key brake dead zone and the reconstructed dead zone at the sector boundary. Then, an improved two-point sampling strategy is adopted to eliminate the second type of time-sharing sampling error and simplify the current compensation step, which fixes the sampling time of the two samples and the sampling spacing as the minimum sampling time. Based on the traditional RTPWM algorithm, the improved IRTPWM algorithm calculates the action time of the other two effective voltage vectors. The action time of the vector is fixed with the least influence on the synthetic reference voltage vector among the three vectors, and the three effective voltage vectors and zero vectors are recorded. It collects the phase current at the beginning and end of the optimal measurement vector. The traditional RTPWM algorithm cannot achieve medium and high-speed operation alone. The measurement phase backward shift modulation method (BSPWM) is proposed to eliminate the dead zone of current reconstruction by combining the measurement phase backward shift modulation method and the IRTPWM algorithm outside the working area of the IRTPWM algorithm. The mixed pulse width modulation algorithm can complete the current acquisition twice at two fixed particular sampling points, and the first type of time-sharing sampling error only needs to be compensated. Therefore, the current compensation steps of the traditional mixed pulse width modulation algorithm are reduced from four steps to two steps, and the computing burden of the processing unit is reduced. The simulation and experimental results show that the error between the reconstruction and the actual current is tiny, which proves that the proposed current reconstruction has high accuracy in both steady-state and transient states. Under the dynamic working conditions of fixed load torque of 2 N·m with the rotation speed of 300 r/min and 600 r/min back and forth and fixed speed of 400 r/min with load torque switching back and forth between 1 N·m and 3 N·m, the motor speed, q-axis current, and three-phase current do not cause great disturbance due to the switching of the algorithm. The following conclusions can be drawn. (1) The combination of the IRTPWM algorithm and BSPWM algorithm effectively eliminates the influence of the dead zone of current reconstruction. (2) The IRTPWM algorithm has higher current reconstruction accuracy and lower current harmonic value than the traditional RTPWM, and the BSPWM algorithm has higher current reconstruction accuracy than the traditional phase-shifting method. (3) The improved two-point sampling strategy can reduce the number of current compensations and current reconstruction errors, simplifying the experimental algorithm and improving the control performance of PMSM.
田里思, 宗耐龙, 刘立伟, 张珈铭, 胡东方. 基于单电流传感器的永磁同步电机混合脉宽调制技术[J]. 电工技术学报, 2025, 40(8): 2451-2463.
Tian Lisi, Zong Nailong, Liu Liwei, Zhang Jiaming, Hu Dongfang. Mixed Pulse Width Modulation Technology of Permanent Magnet Synchronous Motor Based on Single Current Sensor. Transactions of China Electrotechnical Society, 2025, 40(8): 2451-2463.
[1] 郑长明, 董萱萱, 肖子语, 等. 基于虚拟电阻有源阻尼的LC滤波型永磁同步电机系统预测电流控制[J]. 电工技术学报, 2023, 38(22): 6059-6069. Zheng Changming, Dong Xuanxuan, Xiao Ziyu, et al.Virtual resistance active damping based predictive current control of LC-filtered permanent magnet synchronous motor system[J]. Transactions of China Electrotechnical Society, 2023, 38(22): 6059-6069. [2] Prabhakaran K K, Karthikeyan A.Electromagnetic torque-based model reference adaptive system speed estimator for sensorless surface mount permanent magnet synchronous motor drive[J]. IEEE Transa-ctions on Industrial Electronics, 2020, 67(7): 5936-5947. [3] 陈荣, 翟凯淼, 舒胡平. 永磁同步电机双矢量固定开关频率模型预测控制研究[J]. 电工技术学报, 2023, 38(14): 3812-3823. Chen Rong, Zhai Kaimiao, Shu Huping.Predictive control of dual vector fixed switching frequency model for permanent magnet synchronous motor[J]. Transactions of China Electrotechnical Society, 2023, 38(14): 3812-3823. [4] 肖海峰, 许宇豪, 李文真, 等. 五相永磁同步电机串级模型预测电流控制[J]. 电气技术, 2023, 24(8): 1-11, 21. Xiao Haifeng, Xu Yuhao, Li Wenzhen, et al.Model predictive current control based on series cost function for five-phase permanent magnet syn-chronous machines[J]. Electrical Engineering, 2023, 24(8): 1-11, 21. [5] 张玉霖, 卢涛, 菅志军, 等. 基于滑模观测器无位置控制的PWM整流技术[J]. 微电机, 2023, 56(11): 45-48. Zhang Yulin, Lu Tao, Jian Zhijun, et al.PWM rectification technology based on sliding mode observer sensorless control[J]. Micromotors, 2023, 56(11): 45-48. [6] 程勇, 李思卿, 李森豪. 永磁同步电机干扰观测复合滑模控制技术[J]. 电机与控制应用, 2023, 50(3): 39-46, 64. Cheng Yong, Li Siqing, Li Senhao.Compound sliding mode control technology of permanent magnet synchronous motor based on disturbance obser-vation[J]. Electric Machines & Control Application, 2023, 50(3): 39-46, 64. [7] Song Yuge, Lu Jiadong, Hu Yihua, et al.Expanding limit of minimum sampling time using auxiliary vectors for PMSM drives with single DC-link current sensor[J]. IEEE Transactions on Industrial Electronics, 2023, 70(4): 3437-3448. [8] Gu Yikun, Ni Fenglei, Yang Dapeng, et al.Switching-state phase shift method for three-phase-current reconstruction with a single DC-link current sensor[J]. IEEE Transactions on Industrial Electronics, 2011, 58(11): 5186-5194. [9] Lai Y S, Lin Yongkai, Chen C W.New hybrid pulse-width modulation technique to reduce current distortion and extend current reconstruction range for three-phase inverter using only DC-link sensor[J]. IEEE Transactions on Power Electronics, 2012, 28(3): 1331-1337. [10] 黄政, 陈永军, 刘湃, 等. 基于单电流传感器的永磁同步电机高速控制技术[J]. 微电机, 2022, 55(1): 48-54. Huang Zheng, Chen Yongjun, Liu Pai, et al.Per-manent magnetic synchronous motor high speed control technique based on single current sensor[J]. Micromotors, 2022, 55(1): 48-54. [11] 王文杰, 闫浩, 邹继斌, 等. 基于混合脉宽调制技术的永磁同步电机过调制区域相电流重构策略[J]. 中国电机工程学报, 2021, 41(17): 6050-6060. Wang Wenjie, Yan Hao, Zou Jibin, et al.Phase current reconstruction strategy of PMSM under overmodulation mode based on a hybrid space vector pulse width modulation technique[J]. Proceedings of the CSEE, 2021, 41(17): 6050-6060. [12] Kim H, Jahns T M.Current control for AC motor drives using a single DC-link current sensor and measurement voltage vectors[J]. IEEE Transactions on Industry Applications, 2006, 42(6): 1539-1547. [13] 孙孝哲, 张祯滨, 韩明昊, 等. 双有源全桥变换器无电流传感器鲁棒预测控制[J]. 电工技术学报, 2024, 39(10): 3093-3104, 3140. Sun Xiaozhe, Zhang Zhenbin, Han Minghao, et al.An enhanced current sensorless predictive control for dual active bridge converter[J]. Transactions of China Electrotechnical Society, 2024, 39(10): 3093-3104, 3140. [14] 卢伟. 基于单电流传感器的PMSM宽运行范围相电流重构算法研究[D]. 哈尔滨: 哈尔滨工业大学, 2018. Lu Wei.Research on phase current reconstruction algorithm of PMSM with wide operating range based on single current sensor[D]. Harbin: Harbin Institute of Technology, 2018. [15] Shen Yongpeng, Wang Qiancheng, Liu Dongqi, et al.A mixed SVPWM technique for three-phase current reconstruction with single DC negative rail current sensor[J]. IEEE Transactions on Power Electronics, 2022, 37(5): 5357-5372. [16] Dusmez S, Qin Ling, Akin B.A new SVPWM technique for DC negative rail current sensing at low speeds[J]. IEEE Transactions on Industrial Elec-tronics, 2015, 62(2): 826-831. [17] 申永鹏, 武克轩, 吴成中, 等. 互补非零矢量单传感器相电流重构策略[J]. 电工技术学报, 2023, 38(8): 2126-2135. Shen Yongpeng, Wu Kexuan, Wu Chengzhong, et al.Complementary non-zero vector current reconstru-ction strategy with single sensor[J]. Transactions of China Electrotechnical Society, 2023, 38(8): 2126-2135. [18] Saritha B, Janakiraman P A.Sinusoidal three-phase current reconstruction and control using a DC-link current sensor and a curve-fitting observer[J]. IEEE Transactions on Industrial Electronics, 2007, 54(5): 2657-2664. [19] Hafez B, Abdel-Khalik A S, Massoud A M, et al. Single-sensor-based three-phase permanent-magnet synchronous motor drive system with luenberger observers for motor line current reconstruction[J]. IEEE Transactions on Industry Applications, 2014, 50(4): 2602-2613. [20] 王菁, 颜建虎, 季国东, 等. 一种基于双位置观测器的永磁同步电机低速无位置传感器控制方法[J]. 电工技术学报, 2023, 38(2): 375-386. Wang Jing, Yan Jianhu, Ji Guodong, et al.A sensorless control method for permanent magnet syn-chronous machine based on dual position observers at low speed[J]. Transactions of China Electrotechnical Society, 2023, 38(2): 375-386. [21] Lu Jiadong, Hu Yihua, Liu Jinglin.Analysis and compensation of sampling errors in TPFS IPMSM drives with single current sensor[J]. IEEE Transa-ctions on Industrial Electronics, 2019, 66(5): 3852-3855. [22] Tian Lisi, Guo Xin, Liu Liwei, et al.Variable vector model predictive control for permanent magnet synchronous motors using a single DC-link current sensor[J]. IEEE Transactions on Power Electronics, 2024, 39(5): 5310-5319. [23] 黄科元, 伍瑞泽, 黄守道, 等. 单电阻采样的永磁同步电动机相电流重构策略[J]. 电力系统及其自动化学报, 2018, 30(9): 114-120. Huang Keyuan, Wu Ruize, Huang Shoudao, et al.Phase current reconstruction strategy for PMSM using one-shunt current sampling[J]. Proceedings of the CSU-EPSA, 2018, 30(9): 114-120. [24] Tian Lisi, Wang Zaixiang, Yu Qiang, et al.Current reconstruction by one-step compensation for per-manent magnet synchronous motor with fixed sampling interval in position sensorless control[J]. IEEE Transactions on Industrial Electronics, 2023, 70(1): 200-210.