Sensorless Control of Permanent Magnet Synchronous Motor Based on High-order Sliding Mode Observer and Improved PLL

doi:10.11985/2023.04.011

Abstract

Abstract:

Due to the simple structure and strong robustness, the sliding mode observer is widely used in sensorless control of permanent magnet synchronous motor(PMSM), but the inherent chattering of the sliding mode observer will affect the control performance of the system. A high order logarithmic sliding mode observer(HOLnSMO) is proposed based on extended back electromotive force model of PMSM by improving sliding mode surface and control law, which achieves finite-time convergence and smooth estimation of back electromotive force. In addition, to improve the precision of rotor position and speed estimation, an expanded state observer based on a three-order super-twisting sliding model method is designed at the phase-locked loop link and the speed chattering is effectively suppressed. The stability of the system is proved according to Lyapunov stability theory. Finally, the proposed sensorless control strategy is proved to have good speed estimation accuracy, dynamic performance and strong robustness by comparative experiments.

Key words: Permanent magnet synchronous motor, high-order logarithmic sliding mode, extended state observer, position sensorless

CLC Number:

TM561

LI Yingjie, LIU Xudong. Sensorless Control of Permanent Magnet Synchronous Motor Based on High-order Sliding Mode Observer and Improved PLL[J]. Journal of Electrical Engineering, 2023, 18(4): 96-105.

Figures/Tables 16

控制方法	观测器参数
SMO	$k 1 = 240$ ； $k 1 = 240$
NTSMO	$k = 2$ ； $k = 2$ ； $k = 2$ ； $k = 2$ ； $k = 2$ ； $k = 2$ ； $k = 2$
HOLnSMO	$β = 400$ ； $β = 400$ ； $β = 400$ ； $β = 400$ ； $β = 400$
PLL	$k p = 4$ ； $k p = 4$
2^nd order ESO	$b 1 = 2.2$ ； $b 1 = 2.2$
ESO	$b 1 = 2.2$ ； $b 1 = 2.2$ ； $b 1 = 2.2$
STESO	$P 1 = 40$ ； $P 1 = 40$ ； $P 1 = 40$ ； $P 1 = 40$

References 25

[1]	张晓军, 杨家强, 杨昊林. 一种基于永磁同步电机绕组铜耗功率最大的电动汽车母线电容放电方法[J]. 中国电机工程学报, 2022, 42(17):6460-6471.
	ZHANG Xiaojun, YANG Jiaqiang, YANG Haolin. A DC-bus capacitor discharge method based on maximum copper consumption power of permanent magnet synchronous motor windings in electric vehicles[J]. Proceedings of the CSEE, 2022, 42(17):6460-6471.
[2]	苗磊, 张勇军, 童朝南, 等. 基于模型预测直接转矩控制的永磁同步发电机效率优化研究[J]. 电工技术学报, 2018, 33(15):3535-3546.
	MIAO Lei, ZHANG Yongjun, TONG Zhaonan, et al. Efficiency optimization of permanent magnet synchronous generators based on model predictive direct torque control[J]. Transactions of China Electrotechnical Society, 2018, 33(15):3535-3546.
[3]	韩天亮, 缪仲翠, 余现飞, 等. 基于负载观测的矿用电机分数阶滑模控制[J]. 控制工程, 2019, 26(11):2052-2060.
	HAN Tianliang, MIU Zhongcui, YU Xianfei, et al. Fractional sliding mode control of mine motor based on load observation[J]. Control Engineering of China, 2019, 26(11):2052-2060.
[4]	SHAO Bo, ZHU Ziqiang, FENG Jianghua, et al. Improved direct torque control method for dual-three-phase permanent-magnet synchronous machines with back EMF harmonics[J]. IEEE Transactions on Industrial Electronics, 2020, 68(10):9319-9333. doi: 10.1109/TIE.2020.3026282
[5]	储剑波, 陶楷文, 朱叶. 假定旋转坐标系下的永磁同步电机无位置传感器算法研究[J]. 电机与控制学报, 2022, 26(9):140-150.
	CHU Jianbo, TAO Kaiwen, ZHU Ye. Sensorless algorithm of permanent magnet synchronous motor based on assumed rotation coordinates[J]. Electric Machines and Control, 2022, 26(9):140-150.
[6]	张蔚, 王家乐, 梁惺彦, 等. 混合励磁轴向磁通切换永磁电机全速域无位置传感器控制[J]. 中国电机工程学报, 2021, 41(13):4646-4656.
	ZHANG Wei, WANG Jiale, LIANG Xingyan, et al. Position sensorless control of a hybrid excitation axial flux switching permanent magnet machine in full speed range[J]. Proceedings of the CSEE, 2021, 41(13):4646-4656.
[7]	孙兴法, 聂子玲, 朱俊杰, 等. 基于低阶串行双扩展卡尔曼滤波的永磁直线同步电机无速度传感器控制策略[J]. 电工技术学报, 2018, 33(12):2685-2694.
	SUN Xingfa, NIE Ziling, ZHU Junjie, et al. A speed sensorless control strategy for a permanent magnet linear synchronous motor based on low-order serial dual extended kalman filters[J]. Transactions of China Electrotechnical Society, 2018, 33(12):2685-2694.
[8]	郭军宏, 曹太强, 林轩, 等. 一种改进滑模观测器的永磁同步电机无传感器控制[J/OL]. 控制工程:1-9[2023-09-22]. https://doi.org/10.14107/j.cnki.kzgc.20220185.
	GUO Junhong, CAO Taiqiang, LIN Xuan, et al. Sensorless control of permanent magnet synchronous motor based on improved sliding mode observer[J/OL]. Control Engineering of China:1-9[2023-09-22]. https://doi.org/10.14107/j.cnki.kzgc.20220185.
[9]	彭思齐, 蒋雨函, 兰志勇, 等. 永磁同步电机新型指数型自适应滑模观测器无传感器控制[J]. 电机与控制学报, 2022, 26(5):104-114.
	PENG Siqi, JIANG Yuhan, LAN Zhiyong, et al. Sensorless control of new exponential adaptive sliding mode observer for permanent magnet synchronous motor[J]. Electric Machines and Control, 2022, 26(5):104-114.
[10]	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.
[11]	WANG Bo, SHAO Yanzhen, YU Yong, et al. High-order terminal sliding-mode observer for chattering suppression and finite-time convergence in sensorless SPMSM drives[J]. IEEE Transactions on Power Electronics, 2021, 36(10):11910-11920. doi: 10.1109/TPEL.2021.3068495
[12]	麦志勤, 刘计龙, 肖飞, 等. 基于锁相环的永磁同步电机无位置传感器控制[J]. 电力电子技术, 2017, 51(7):97-99.
	MAI Zhiqin, LIU Jilong, XIAO Fei, et al. Permanent magnet synchronous motor sensorless control based on PLL[J]. Power Electronic Technology, 2017, 51(7):97-99.
[13]	NOVAK Z, NOVAK M. Adaptive PLL-based sensorless control for improved dynamics of high-speed PMSM[J]. IEEE Transactions on Power Electronics, 2022, 37(9):10154-10165. doi: 10.1109/TPEL.2022.3169708
[14]	刘旭东, 李珂, 孙静, 等. 基于广义预测控制和扩展状态观测器的永磁同步电机控制[J]. 控制理论与应用, 2015, 32(12):1613-1619.
	LIU Xudong, LI Ke, SUN Jing, et al. Generalized predictive control based on extended state observer for permanent magnet synchronous motor system[J]. Control Theory & Applications, 2015, 32(12):1613-1619.
[15]	王明辉, 徐永向, 邹继斌. 基于ESO-PLL的永磁同步电机无位置传感器控制[J]. 中国电机工程学报, 2022, 42(20):7599-7608.
	WANG Minghui, XU Yongxiang, ZOU Jibin. Sensorless control for permanent magnet synchronous motor based on ESO-PLL[J]. Proceedings of the CSEE, 2022, 42(20):7599-7608.
[16]	XU Zhuang, ZHANG Tianru, BAO Yuli, et al. A nonlinear extended state observer for rotor position and speed estimation for sensorless IPMSM drives[J]. IEEE Transactions on Power Electronics, 2020, 35(1):733-743. doi: 10.1109/TPEL.63
[17]	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 Electronics, 2023, 38(1):229-244. doi: 10.1109/TPEL.2022.3199773
[18]	李冉, 赵光宙, 徐绍娟. 基于扩展滑模观测器的永磁同步电动机无传感器控制[J]. 电工技术学报, 2012, 27(3):79-85.
	LI Ran, ZHAO Guangzhou, XU Shaojuan. Sensorless control of permanent magnet synchronous motor based on extended sliding mode observer[J]. Transactions of China Electrotechnical Society, 2012, 27(3):79-85.
[19]	DONG Hanlin, YANG Xuebo, BASIN M V. Practical tracking of permanent magnet linear motor via logarithmic sliding mode control[J]. IEEE/ASME Transactions on Mechatronics, 2022, 27(5):4112-4121. doi: 10.1109/TMECH.2022.3142175
[20]	CHERRY G W. Integration in finite terms with special functions:The logarithmic integral[J]. Society for Industrial and Applied Mathematics, 1986, 15(1):1-21.
[21]	CHEN Zhe, DAWARA A A, ZHANG Xuxuan, et al. Adaptive sliding mode observer-based sensorless control for SPMSM employing a dual-PLL[J]. IEEE Transactions on Transportation Electrification, 2022, 8(1):1267-1277. doi: 10.1109/TTE.2021.3112123
[22]	ZHANG Tianru, XU Zhuang, LI Jing, et al. A third-order super-twisting extended state observer for dynamic performance enhancement of sensorless IPMSM drives[J]. IEEE Transactions on Industrial Electronics, 2020, 67(7):5948-5958. doi: 10.1109/TIE.41
[23]	FERNANDO A, ORTIZ R, TONÁMETL S, et al. Smooth Lyapunov function and gain design for a second order differentiator[C]// 54th IEEE Conference on Decision and Control(CDC), December 15-18,2015,Osaka,Japan. IEEE, 2015:5402-5407.
[24]	YANG Yongjie, LIU Xudong. A novel nonsingular terminal sliding mode observer-based sensorless control for electrical drive system[J]. Mathematics, 2022, 10(17):3123. doi: 10.3390/math10173123
[25]	LIU Zhaohua, NIE Jie, WEI Hualiang, et al. Second-order ESO-based current sensor fault-tolerant strategy for sensorless control of PMSM with B-phase current[J]. IEEE/ASME Transactions on Mechatronics, 2022, 27(6):5427-5438. doi: 10.1109/TMECH.2022.3182134

参数	数值
额定转速/(r/min)	1 000
额定功率/kW	1.5
转动惯量/(kg·m²)	0.002 7
永磁体磁链/Wb	0.32
线电阻/Ω	1.84
线电感/mH 额定电流/A	6.65 7.3
磁极对数	4