基于增强型扩张状态观测器的永磁同步电机低抖振高抗扰二阶终端滑模电流控制

doi:10.19595/j.cnki.1000-6753.tces.222359

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Abstract As the bottom control link of the interior permanent magnet synchronous motor (IPMSM) system, the current control plays a crucial role in the system's performance. The sliding-mode current control (SMCC) of the IPMSM has the merit of high robustness to parameter mismatch. However, the control accuracy in practice is subjected to sliding-mode chattering, and its suppression would negatively affect the anti-disturbance performance. In order to suppress the chattering of the traditional first-order SMCC system and ensure the excellent anti-disturbance performance of the system, an enhanced extended state observer (ESO) based second-order terminal sliding mode (TSM) control strategy is proposed to improve the final performance of the stator current control.
The structure of the second-order TSM surface is that an integral fast TSM surface is nested into the second-order non-singular TSM surface. The coefficients of the integral fast TSM surface guarantee the rapidity of stator current convergence, and the overshoot is not obvious. The integral term makes the system feedback state have no steady-state current error. The second-order TSM control has superior chattering suppression ability and retains the robustness of switching function to parameter deviation. By introducing the EESO, the disturbance is estimated and compensated, which is beneficial to easing the confliction between chattering suppression and anti-disturbance. A Smith predictor is designed to address negative effects of the delay inherent to the digital control. Consequently, the disturbance is suppressed well.
Experiments based on an 18 kW-IPMSM hardware platform verify the current control strategy. The voltage chattering amplitude of the second-order TSM control strategy is less than 20% of that of the traditional SMCC strategy at the rated speed. The amplitude of the current tracking error is affected by voltage chattering. The current tracking accuracy is high, the three-phase currents are smooth, and the distortion is low when voltage chattering becomes small. The feedback current can track the reference signal within 2 ms to achieve the engineering rapidity of the current loop. To simulate the dramatic change of back electromotive force caused by external interference, a 10 V step disturbance is suddenly added to the q-axis input of IPMSM. The disturbance recovered within 10 ms after the current change.
The strategy solves the problems of large chattering and the contradiction between chattering and disturbance suppression in the traditional SMCC of IPMSM. The results of theoretical analysis and experimental research are as follows. (1) The proposed strategy can better suppress the influence of voltage chattering on the current tracking accuracy. It improves the steady-state and dynamic performance of the system, solves the problems of low steady-state accuracy and large fluctuation caused by large chattering in traditional SMCC strategy, and ensures that the motor current state can track the reference signal in a limited time. (2) The strategy proposed improves the anti-disturbance performance of the system effectively. The second-order TSM control strategy reduces chattering, but its disturbance immunity worsens. ESO is designed to estimate system disturbance and make compensation in the control law to solve the contradiction between chattering suppression and anti-disturbance. (3) The Smith predictor is introduced to reduce the influence of time delay in the system by predicting the current one beat, thus reducing the resulting system interference and coupling influence.

Key words： Permanent magnet synchronous motor second-order terminal sliding mode control extended state observer Smith predictor

Received: 23 December 2022

PACS:

TM341

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	Dongye Yalan
	Yang Shuying
	Wang Qishuai
	Xie Zhen
	Zhang Xing

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Dongye Yalan,Yang Shuying,Wang Qishuai等. Enhanced Extended State Observer Based Second Order Terminal Sliding Mode Current Control for Permanent Magnet Synchronous Machine with Low Chattering and Improved Disturbance Rejection[J]. Transactions of China Electrotechnical Society, 2024, 39(8): 2434-2448.

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https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.222359 OR https://dgjsxb.ces-transaction.com/EN/Y2024/V39/I8/2434

[1] 刘善宏, 杨淑英, 李浩源, 等. 基于旋转坐标系解调的内置式永磁同步电机旋转高频注入法位置观测[J]. 电工技术学报, 2020, 35(4): 708-716.
Liu Shanhong, Yang Shuying, Li Haoyuan, et al.Rotating high frequency signal injection based on interior permanent magnet synchronous motor rotor position estimation with the demodulation imple- mented on the synchronous reference frame[J]. Transactions of China Electrotechnical Society, 2020, 35(4): 708-716.
[2] 徐奇伟, 熊德鑫, 陈杨明, 等. 基于新型高频纹波电流补偿方法的内置式永磁同步电机无传感器控制[J]. 电工技术学报, 2023, 38(3): 680-691.
Xu Qiwei, Xiong Dexin, Chen Yangming, et al.Research on sensorless control strategy of IPMSM based on new high frequency ripple current com- pensation method[J]. Transactions of China Elec- trotechnical Society, 2023, 38(3): 680-691.
[3] 杨淑英, 王玉柱, 储昭晗, 等. 基于增益连续扩张状态观测器的永磁同步电机电流解耦控制[J]. 中国电机工程学报, 2020, 40(6): 1985-1997.
Yang Shuying, Wang Yuzhu, Chu Zhaohan, et al.Current decoupling control of PMSM based on an extended state observer with continuous gains[J]. Proceedings of the CSEE, 2020, 40(6): 1985-1997.
[4] 邱伟康, 陈宇, 文刚, 等. 九开关双馈风力发电系统的恒定开关频率电流滑模控制方法[J]. 中国电机工程学报, 2018, 38(20): 6134-6144.
Qiu Weikang, Chen Yu, Wen Gang, et al.Constant switching frequency current sliding mode control method for nine-switch-converter-based doubly-fed wind generation system[J]. Proceedings of the CSEE, 2018, 38(20): 6134-6144.
[5] 赵文祥, 刘桓, 陶涛, 等. 基于虚拟信号和高频脉振信号注入的无位置传感器内置式永磁同步电机MTPA控制[J]. 电工技术学报, 2021, 36(24): 5092-5100.
Zhao Wengxiang, Liu Huan, Tao Tao, et al.MTPA control of sensorless IPMSM based on virtual signal and high-frequency pulsating signal injection[J]. Transactions of China Electrotechnical Society, 2021, 36(24): 5092-5100.
[6] 王爽, 冯坚栋, 丁雪, 等. 基于最优开环截止频率学习的永磁伺服系统PI控制器参数整定方法[J]. 电工技术学报, 2017, 32(21): 44-54.
Wang Shuang, Feng Jiandong, Ding Xue, et al.PI controllers tuning method of permanent magnet servo system based on optimal open-loop cut-off frequency learning[J]. Transactions of China Electrotechnical Society, 2017, 32(21): 44-54.
[7] Kang B J, Liaw C M.A robust hysteresis current- controlled PWM inverter for linear PMSM driven magnetic suspended positioning system[J]. IEEE Transactions on Industrial Electronics, 2001, 48(5): 956-967.
[8] 王志彬, 朱景伟, 赵锡阳, 等. 永磁容错轮缘推进电机预测占空比电流滞环控制[J]. 电工技术学报, 2023, 38(3): 670-679.
Wang Zhibin, Zhu Jingwei, Zhao Xiyang, et al.Predictive duty cycle current hysteresis control for fault-tolerant permanent magnet rim drive motor[J]. Transactions of China Electrotechnical Society, 2023, 38(3): 670-679.
[9] 张珍睿, 刘彦呈, 陈九霖, 等. 永磁同步电机幅值控制集模型预测控制策略[J]. 电工技术学报, 2022, 37(23): 6126-6134.
Zhang Zhenrui, Liu Yancheng, Chen Jiulin, et al.Amplitude control set model predictive control strategy for permanent magnet synchronous motor[J]. Transactions of China Electrotechnical Society, 2022, 37(23): 6126-6134.
[10] 周奇勋, 刘帆, 吴紫辉, 等. 永磁同步电机转矩与定子磁链模型预测控制预测误差补偿方法[J]. 电工技术学报, 2022, 37(22): 5728-5739.
Zhou Qixun, Liu Fan, Wu Zihui, et al.Model predictive torque and stator flux control method for PMSMs with prediction error compensation[J]. Transactions of China Electrotechnical Society, 2022, 37(22): 5728-5739.
[11] Gao Jinqiu, Gong Chao, Li Wenzhen, et al.Novel compensation strategy for calculation delay of finite control set model predictive current control in PMSM[J]. IEEE Transactions on Industrial Elec- tronics, 2020, 67(7): 5816-5819.
[12] Niu Feng, Chen Xi, Huang Shaopo, et al.Model predictive current control with adaptive-adjusting timescales for PMSMs[J]. CES Transactions on Elec- trical Machines and Systems, 2021, 5(2): 108-117.
[13] Utkin V.Variable structure systems with sliding modes[J]. IEEE Transactions on Automatic Control, 1977, 22(2): 212-222.
[14] 刘金琨. 滑模变结构控制MATLAB仿真: 基本理论与设计方法[M]. 3版. 北京: 清华大学出版社, 2015.
[15] Sun Qingguo, Zhu Xiaolei, Niu Feng.Sensorless control of permanent magnet synchronous motor based on new sliding mode observer with single resistor current reconstruction[J]. CES Transactions on Electrical Machines and Systems, 2022, 6(4): 378-383.
[16] 张袅娜. 终端滑模控制理论及应用[M]. 北京: 科学出版社, 2011.
[17] Xu S S D, Chen C C, Wu Zhenglun. Study of nonsingular fast terminal sliding-mode fault-tolerant control[J]. IEEE Transactions on Industrial Elec- tronics, 2015, 62(6): 3906-3913.
[18] 冯勇, 鲍晟, 余星火. 非奇异终端滑模控制系统的设计方法[J]. 控制与决策, 2002, 17(2): 194-198.
Feng Yong, Bao Sheng, Yu Xinghuo.Design method of non-singular terminal sliding mode control systems[J]. Control and Decision, 2002, 17(2): 194-198.
[19] Chiu C S.Derivative and integral terminal sliding mode control for a class of MIMO nonlinear systems[J]. Automatica, 2012, 48(2): 316-326.
[20] 王艳敏, 冯勇, 陆启良. 永磁同步电动机的无抖振滑模控制系统设计[J]. 电机与控制学报, 2008, 12(5): 514-519.
Wang Yanmin, Feng Yong, Lu Qiliang.Design of free-chattering sliding mode control systems for permanent magnet synchronous motor[J]. Electric Machines and Control, 2008, 12(5): 514-519.
[21] Slotine J J, Sastry S S.Tracking control of non-linear systems using sliding surfaces with application to robot manipulators[C]//American Control Conference, San Francisco, CA, USA, 2009: 132-135.
[22] 金鸿雁, 赵希梅, 原浩. 永磁直线同步电机动态边界层全局互补滑模控制[J]. 电工技术学报, 2020, 35(9): 1945-1951.
Jin Hongyan, Zhao Ximei, Yuan Hao.Dynamic boundary layer global complementary sliding mode control for permanent magnet linear synchronous motor[J]. Transactions of China Electrotechnical Society, 2020, 35(9): 1945-1951.
[23] Xu Yongxiang, Li Shaobin, Zou Jibin.Integral sliding mode control based deadbeat predictive current control for PMSM drives with disturbance rejection[J]. IEEE Transactions on Power Electronics, 2022, 37(3): 2845-2856.
[24] 宁博文, 周凤星, 卢少武. 基于高阶滑模速度控制器的异步电机模型预测转矩控制[J]. 控制与决策, 2021, 36(4): 953-958.
Ning Bowen, Zhou Fengxing, Lu Shaowu.A model predictive torque control for induction motor based on high order sliding mode speed controller[J]. Control and Decision, 2021, 36(4): 953-958.
[25] Zhang Kang, Wang Limei, Fang Xin.High-order fast nonsingular terminal sliding mode control of permanent magnet linear motor based on double dis- turbance observer[J]. IEEE Transactions on Industry Applications, 2022, 58(3): 3696-3705.
[26] 方馨, 王丽梅, 张康. 基于扰动观测器的永磁直线电机高阶非奇异快速终端滑模控制[J]. 电工技术学报, 2023, 38(2): 409-421.
Fang Xin, Wang Limei, Zhang Kang.High order nonsingular fast terminal sliding mode control of permanent magnet linear motor based on disturbance observer[J]. Transactions of China Electrotechnical Society, 2023, 38(2): 409-421.
[27] 毛海杰, 李炜, 蒋栋年, 等. 基于线性扩张状态观测器的永磁同步电机状态估计与性能分析[J]. 电工技术学报, 2019, 34(10): 2155-2165.
Mao Haijie, Li Wei, Jiang Dongnian, et al.State estimation and performance analysis based on linear extended state observer for permanent magnet synchronous motor[J]. Transactions of China Elec- trotechnical Society, 2019, 34(10): 2155-2165.
[28] Diab A M, Yeoh S S, Bozhko S, et al.Enhanced active disturbance rejection current controller for permanent magnet synchronous machines operated at low sampling time ratio[J]. IEEE Journal of Emerging and Selected Topics in Industrial Electronics, 2022, 3(2): 230-241.
[29] 潘子昊, 卜飞飞, 轩富强, 等. 基于Smith预估器的永磁电机高动态响应电流环控制策略[J]. 电工技术学报, 2020, 35(9): 1921-1930.
Pan Zihao, Bu Feifei, Xuan Fuqiang, et al.High- dynamic-response current loop control strategy of permanent magnet motor based on Smith predictor[J]. Transactions of China Electrotechnical Society, 2020, 35(9): 1921-1930.
[30] Qu Lizhi, Qiao Wei, Qu Liyan.Active-disturbance- rejection-based sliding-mode current control for permanent-magnet synchronous motors[J]. IEEE Transactions on Power Electronics, 2021, 36(1): 751-760.