Position Sensorless Control System Design Based on Mix-Multi-Resonant Third-Order Generalized Integral Flux Observer for PMSM
Fang Wei1,2, Wang Leiyu1,2, Zhou Mi1,2, Shi Qingping1,2, Liu Xiaodong1,2
1. School of Electrical and Information Anhui University of Technology Maanshan 243000 China; 2. Key Lab of Power Electronics & Motion Control in Anhui province Maanshan 243000 China
Abstract：Sensorless control of permanent magnet synchronous motors (PMSMs) requires real-time acquisition of high-precision magnetic flux information. The flux observer can determine the rotor magnetic flux position and angle by integrating the back electromotive force (EMF). However, it exhibits DC bias and low-order harmonics at low-speed range, which degrade estimation accuracy and increase the risk of instability. Thus, this paper proposes a mixed multi-resonant third-order generalized integral flux observer (MRTOGIFO). Firstly, the theoretical analysis was conducted on the suppression performance of DC bias and low-order harmonics between traditional magnetic flux observers, second-order generalized integral magnetic flux observers (SOGIFO), and third-order generalized integral magnetic flux observers (TOGIFO). Secondly, the notch circuit of the third-order generalized integrator (TOGI) is used to extract the DC bias, and a complex-coefficient resonant unit is proposed to separate low-order harmonic interference. A cross-feedback network is designed to eliminate the DC bias and low-order harmonic interference from the observed signal. Therefore, the real information of the rotor flux is obtained, and the accuracy of the flux observer is improved. Moreover, the block diagram and the transfer function of the MRTOGIFO are presented, and the influence of the proposed flux observer on signals such as DC bias, fundamental wave, and low-order harmonics is analyzed in the frequency domain. It has been shown that the MRTOGIFO weakens the resonance peak of TOGI at low frequencies and improves dynamic performance. Finally, an 800 W PMSM experimental platform is built to compare the steady-state accuracy and dynamic performance of different flux observers in the low-speed range. The experimental results validated that the proposed strategy has a wider speed range and higher observing accuracy.
方炜, 王雷雨, 周密, 史庆平, 刘晓东. 基于混合多谐振三阶广义积分型磁链观测器的PMSM无位置传感器控制[J]. 电工技术学报, 2026, 41(4): 1210-1222.
Fang Wei, Wang Leiyu, Zhou Mi, Shi Qingping, Liu Xiaodong. Position Sensorless Control System Design Based on Mix-Multi-Resonant Third-Order Generalized Integral Flux Observer for PMSM. Transactions of China Electrotechnical Society, 2026, 41(4): 1210-1222.
[1] 李福, 陈双琛, 兰志勇, 等. 基于改进型I-f控制的永磁同步电机无位置控制[J]. 电工技术学报, 2025, 40(12): 3895-3904. Li Fu, Chen Shuangchen, Lan Zhiyong, et al.Sensor- less control of permanent magnet synchronous motor based on improved I-f control[J]. Transactions of China Electrotechnical Society, 2025, 40(12): 3895-3904. [2] 葛扬, 宋卫章, 杨洋. 基于扩张式主从自适应陷波滤波器与动态频率跟踪的永磁同步电机无传感器控制[J]. 电工技术学报, 2023, 38(14): 3824-3835. Ge Yang, Song Weizhang, Yang Yang.PMSM sensor- less control based on extended master-slave adaptive Notch filter and dynamic frequency tracking[J]. Transactions of China Electrotechnical Society, 2023, 38(14): 3824-3835. [3] 于安博, 刘利, 阚志忠, 等. 高频脉振信号注入永磁同步电机无滤波器初始位置辨识方法[J]. 电工技术学报, 2021, 36(4): 801-809. Yu Anbo, Liu Li, Kan Zhizhong, et al.Initial position identification of PMSM with filterless high frequency pulse signal injection method[J]. Transactions of China Electrotechnical Society, 2021, 36(4): 801-809. [4] 孙明阳, 和阳, 邱先群, 等. 随机频率三角波注入永磁同步电机无位置传感器降噪控制[J]. 电工技术学报, 2023, 38(6): 1460-1471. Sun Mingyang, He Yang, Qiu Xianqun, et al.Random-frequency triangular wave injection based sensorless control of PMSM drives for audible noise reduction[J]. Transactions of China Electrotechnical Society, 2023, 38(6): 1460-1471. [5] Wang Bo, Du Pengcheng, Tian Minghe, et al.A master-slave-structure position observer for multi- harmonics suppression in sensorless PMSM drives[J]. IEEE Transactions on Industrial Electronics, 2024, 71(5): 4528-4540. [6] 王琛琛, 苟立峰, 周明磊, 等. 基于改进的离散域二阶滑模观测器的内置式永磁同步电机无位置传感器控制[J]. 电工技术学报, 2023, 38(2): 387-397. Wang Chenchen, Gou Lifeng, Zhou Minglei, et al.Sensorless control of IPMSM based on improved discrete second-order sliding mode observer[J]. Transactions of China Electrotechnical Society, 2023, 38(2): 387-397. [7] Dian Renjun, Zhang Junhe, Jiang Yajie.Improved MOGIFO-based flux observation strategy for PMSM sensorless drives[J]. IEEE Access, 2024, 12: 28475-28483. [8] 周臻, 李长磊, 王永. 基于复合二阶广义积分器的永磁同步电机转子位置与转速估计[J]. 电工技术学报, 2017, 32(7): 59-66. Zhou Zhen, Li Changlei, Wang Yong.Position and speed estimation for a permanent magnet synchronous motor rotor using composite second order generalized integrator[J]. Transactions of China Electrotechnical Society, 2017, 32(7): 59-66. [9] Zhao Rende, Wu Shangqian, Wang Cun, et al.A novel discretization method for multiple second-order generalized integrators[J]. IEEE Transactions on Power Electronics, 2021, 36(10): 10998-11002. [10] Golestan S, Guerrero J M, Vasquez J C, et al.Modeling, tuning, and performance comparison of second-order-generalized-integrator-based FLLs[J]. IEEE Transactions on Power Electronics, 2018, 33(12): 10229-10239. [11] Wang Huimin, Yang Yongheng, Ge Xinglai, et al.PLL- and FLL-based speed estimation schemes for speed-sensorless control of induction motor drives: review and new attempts[J]. IEEE Transactions on Power Electronics, 2022, 37(3): 3334-3356. [12] 李东昇, 袁杰, 王坤东. SOGI级联SFNF的高频注入无传感器电机控制方法[J]. 电机与控制学报, 2024, 28(3): 24-32. Li Dongsheng, Yuan Jie, Wang Kundong.High frequency injection sensor-less motor control method with cascade of SOGI and SFNF[J]. Electric Machines and Control, 2024, 28(3): 24-32. [13] Wang Gaolin, Ding Li, Li Zhuomin, et al.Enhanced position observer using second-order generalized integrator for sensorless interior permanent magnet synchronous motor drives[J]. IEEE Transactions on Energy Conversion, 2014, 29(2): 486-495. [14] Xu Wei, Jiang Yajie, Mu Chaoxu, et al.Improved nonlinear flux observer-based second-order SOIFO for PMSM sensorless control[J]. IEEE Transactions on Power Electronics, 2019, 34(1): 565-579. [15] Jiang Yajie, Xu Wei, Mu Chaoxu, et al.An improved third-order generalized integral flux observer for sensorless drive of PMSMs[J]. IEEE Transactions on Industrial Electronics, 2019, 66(12): 9149-9160. [16] Zhang Yanping, Yin Zhonggang, Gao Fengtao, et al.Research on anti-DC bias and high-order harmonics of a fifth-order flux observer for IPMSM sensorless drive[J]. IEEE Transactions on Industrial Electronics, 2022, 69(4): 3393-3406. [17] He Wenyun, Wu Xiang, Chen Junlei.Optimization design of PMSM sensorless control using generalized integrator[J]. IEEE Transactions on Industrial Electronics, 2024, 71(8): 8625-8634. [18] Hackl C M, Landerer M.Modified second-order generalized integrators with modified frequency locked loop for fast harmonics estimation of distorted single-phase signals[J]. IEEE Transactions on Power Electronics, 2020, 35(3): 3298-3309. [19] Ge Yang, Yang Lihui, Ma Xikui.A harmonic com- pensation method for SPMSM sensorless control based on the orthogonal master-slave adaptive Notch filter[J]. IEEE Transactions on Power Electronics, 2021, 36(10): 11701-11711. [20] Kashif M, Singh B.Multi-resonant third-order generalized integrator based PLL for seamless control of solar-battery fed grid synchronized water pumping system[J]. IEEE Transactions on Energy Conversion, 2023, 38(1): 355-366.
2026, Vol. 41 
