基于FA-LESO与改进有限位置集PLL的PMSM无位置传感器控制

doi:10.19595/j.cnki.1000-6753.tces.251299

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Abstract Permanent magnet synchronous motor（PMSM）sensorless control systems based on the back electromotive force（BEMF）model exhibit excellent performance in medium-to-high speed ranges. They generally consist of a BEMF observer and a rotor information extractor. The linear extended state observer（LESO）is widely adopted for its simple structure, fast convergence, and low model dependency. However, owing to inverter nonlinearities and current sensor drift, the estimated BEMF inevitably contains interference such as DC bias. Since the LESO has a low-pass characteristic and the BEMF is a sinusoidal signal that varies with speed, amplitude, and phase deviation, DC bias errors arise during estimation. The traditional phase-locked loop（PLL）employs a fixed-gain PI controller, which introduces tracking errors proportional to acceleration under dynamic conditions. Moreover, repeated experiments are required to determine PI parameters, complicating parameter tuning. Therefore, this paper proposes a PMSM sensorless control method based on a frequency-adaptive linear extended state observer（FA-LESO）and an improved finite-position-set phase-locked loop（FPS-PLL).
Firstly, the limitations of existing LESO schemes are analyzed. Unlike conventional local frequency compensation strategies, the proposed method employs a second-order generalized integrator（SOGI）to extract signals at specific frequencies and reconstruct the internal disturbance model of the LESO. An FA-LESO with band-pass characteristics is designed to enable unbiased extraction at the center frequency while rapidly attenuating out-of-band components. When the center frequency equals the motor speed, the observer achieves frequency-adaptive, lag-free estimation of the fundamental BEMF signal.
Secondly, based on the model-predictive principle, a novel equivalent-voltage error is designed to form a cost function, and the FPS-PLL is improved using the secant method. The new cost function has one single convergence point per iteration, effectively overcoming false convergence caused by conventional cost functions within the angular error range. Moreover, the secant iteration avoids the derivative computation required by the Newton method and the initial-value preprocessing, thereby reducing computational cost and eliminating the need for parameter tuning.
Finally, the proposed method is validated on a PMSM test platform using a Links-RT hardware-in-the-loop simulator. Results show that:（1）The FA-LESO achieves frequency-adaptive, lag-free estimation of BEMF signals at different frequencies. Compared with conventional schemes, the BEMF delay is reduced by 40% and 92% at 1 000 r/min and 2 000 r/min, respectively. With its band-pass characteristics, it effectively suppresses high-frequency noise and minimizes the impact of DC errors on position estimation accuracy.（2）The improved FPS-PLL has one convergence point per iteration and attains a theoretical accuracy of 3.52×10^-6 rad within five iterations. Compared with the traditional PLL, the proposed method exhibits better dynamic response and requires no parameter tuning.

Key words： Permanent magnet synchronous motor sensorless control frequency adaptive extended state observer finite position set phase-locked loop

Received: 22 July 2025

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	Guo Moran
	Zhao Ximei

Cite this article:

Guo Moran,Zhao Ximei. PMSM Sensorless Control Based on Frequency-Adaptive Linear Extended State Observer and Improved Finite Position Set PLL[J]. Transactions of China Electrotechnical Society, 2026, 41(16): 5439-5450.

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[1] 王奇维, 李斌兴, 潘冠丞, 等. 基于转子位置误差解耦阻抗建模的永磁同步电机电感在线辨识方法[J]. 电工技术学报, 2025, 40(2): 439-451.
Wang Qiwei, Li Binxing, Pan Guancheng, et al.Impedance model based online inductance identi-fication method of permanent magnet synchronous motor decoupled from rotor position error[J]. Trans-actions of China Electrotechnical Society, 2025, 40(2): 439-451.
[2] 刘栋良, 赵金洋, 董旭辉, 等. 扩展卡尔曼观测器下的永磁同步电机负载扰动抑制研究[J]. 电工技术学报, 2025, 40(8): 2488-2503.
Liu Dongliang, Zhao Jinyang, Dong Xuhui, et al.Research on load disturbance suppression technology of permanent magnet synchronous motor under extended Kalman filter[J]. Transactions of China Electrotechnical Society, 2025, 40(8): 2488-2503.
[3] 张彦平, 尹忠刚, 苏明, 等. 基于共振扩张状态观测器的内置式永磁同步电机统一全速域无位置传感器控制[J]. 电工技术学报, 2023, 38(22): 6070-6081.
Zhang Yanping, Yin Zhonggang, Su Ming, et al.Unified full speed sensorless control of interior permanent magnet synchronous motor based on resonance extended state observer[J]. Transactions of China Electrotechnical Society, 2023, 38(22): 6070-6081.
[4] Jiang Ning, Cao Ruiwu, Sun Wei, et al.MRAS-based sensorless control of PMSM drives using extended state observer in shaftless rim-driven thruster system[J]. IEEE Transactions on Transportation Electrification, 2025, 11(2): 6038-6047.
[5] 高崇, 邵在康, 康忠健, 等. 基于扩展卡尔曼滤波的水中放电阶段辨识方法[J]. 电工技术学报, 2024, 39(11): 3475-3485.
Gao Chong, Shao Zaikang, Kang Zhongjian, et al.Method for identifying stages of discharge in water based on extended Kalman filter[J]. Transactions of China Electrotechnical Society, 2024, 39(11): 3475-3485.
[6] Xu Qiangren, Fang Shuhua, Huang Demin.Sensorless control for SPMSM using modified super-twisting observer considering resistance mismatch and VSI nonlinearity[J]. IEEE Transactions on Transportation Electrification, 2025, 11(3): 7389-7402.
[7] 韩国强, 韩颖, 贾政, 等. 基于超局部模型的开关磁阻电机无模型预测电流控制方法[J]. 电工技术学报, 2025, 40(18): 5931-5944.
Han Guoqiang, Han Ying, Jia Zheng, et al.Model-free predictive current control method for switched reluctance motor with ultralocal model[J]. Trans-actions of China Electrotechnical Society, 2025, 40(18): 5931-5944.
[8] Zhuo Shengrong, Jin Shudan, Liu Xinyu, et al.Robust voltage control of bidirectional DC-DC converter with modified extended state observer for hybrid power supply system[J]. IEEE Transactions on Trans-portation Electrification, 2025, 11(1): 2571-2579.
[9] Zhong Yuxiang, Lin Heyun, Wang Jiyao, et al.Sensorless control of variable flux memory machines based on improved extended EMF model and adaptive extended state observer[J]. IEEE Transactions on Transportation Electrification, 2024, 10(3): 5624-5635.
[10] Yu Ke, Li Shihua, Zhu Wenwu, et al.Sensorless control scheme for PMSM drive via generalized proportional integral observers and Kalman filter[J]. IEEE Transactions on Power Electronics, 2025, 40(3): 4020-4033.
[11] Xia Zhen, Yu Xu, Wu Xuan, et al.An enhanced linear extended state observer-based sensorless IPMSM drives with robustness against current measurement offset error[J]. IEEE Transactions on Transportation Electrification, 2025, 11(1): 3558-3567.
[12] Liu Qi, Zhang Li, Qian Qiang.Fast LADRC-type phase-locked loop with adaptive extended state observer[J]. IEEE Transactions on Industrial Elec-tronics, 2024, 71(8): 8268-8278.
[13] Abdelrahem M, Hackl C M, Kennel R.Finite position set-phase locked loop for sensorless control of direct-driven permanent-magnet synchronous gen-erators[J]. IEEE Transactions on Power Electronics, 2018, 33(4): 3097-3105.
[14] Abdelrahem M, Hackl C M, Kennel R, et al.Computationally efficient finite-position-set-phase-locked loop for sensorless control of PMSGs in wind turbine applications[J]. IEEE Transactions on Power Electronics, 2021, 36(3): 3007-3016.
[15] Mayilsamy G, Lee S R, Jeong J H, et al.An efficient angle search algorithm for FPS-PLLs in encoderless control of PMVG-based wind turbine system appli-cations[J]. IEEE Transactions on Industrial Infor-matics, 2025, 21(2): 1557-1566.
[16] Chen Shuo, Ding Wen, Hu Ruiming, et al.Sensorless control of PMSM drives using reduced order quasi resonant-based ESO and Newton-raphson method-based PLL[J]. IEEE Transactions on Power Elec-tronics, 2023, 38(1): 229-244.