Model-Free Stator Flux Sliding Mode Control for Permanent Magnet Synchronous Motors Considering Parameter Mismatch
Xiao Hu1, Wu Gongping1, Long Zhuo1, Zheng Jian2, Li Zewen1
1. School of Electrical and Information Engineering Changsha University of Science & Technology Changsha 410114 China; 2. College of Electrical and Information Engineering Hunan University of Technology Zhuzhou 412007 China
Abstract:Permanent magnet synchronous motor (PMSM) has become a core component of complex electromechanical systems such as electric vehicles, new energy urban rail vehicles, and wind power generation due to its advantages of high efficiency, high power density, and high torque density. The model predictive control strategy based on the mathematical model of the controlled object has been widely applied in PMSMs. However, there is inevitably a mismatch between the actual parameters of the motor system and the application parameters of the model predictive controller, which seriously affects the performance of the predictive control system. This paper proposes a novel model-free stator flux sliding mode control (MF-FSMC) method to achieve high-performance control under parameter mismatch. The model-free flux sliding mode controller is adopted to replace the model predictive control algorithm that relies on the controlled object. First, a mathematical model of PMSM is established under parameter mismatch, and an ultralocal stator flux linkage model considering parameter mismatch is constructed under a rotating coordinate system. The novel MF-FSMC method is proposed, a model-free flux sliding mode controller based on a novel reaching law is designed, and a one-beat speed predictive controller is constructed. Finally, the composite integral sliding mode disturbance observer online estimation strategy is proposed, which can effectively observe the unknown disturbance part in the ultralocal model of PMSM under parameter mismatch. Simulation and experimental results show that the proposed method can effectively improve the steady-state performance, significantly reduce the stator flux and torque ripple, and enhance the robustness and anti- interference performance of the PMSM system under parameter mismatch. The designed composite integral sliding mode disturbance observer can accurately observe the stator flux values and unknown disturbances on the dq axis. Compared with conventional model predictive control methods, the proposed MF-FSMC method can reduce torque ripple from 75 N·m to 45 N·m in the case of flux linkage parameter mismatch. In addition, with the proposed MF-FSMC method, the distortion of stator current has also been significantly improved, and the static error of stator flux linkage has been reduced from 0.35 Wb to ±0.01 Wb. In the case of inductance parameter mismatch, the proposed MF-FSMC method can reduce torque ripple from 110 N·m to 80 N·m and the fluctuation value of stator flux linkage error from ±0.235 Wb to ±0.02 Wb. The MF-FSMC method proposed can obtain the following conclusions: (1) The composite integral sliding mode disturbance observer can accurately observe unknown disturbances and stator flux linkage, effectively enhancing the robustness of predictive control systems under parameter mismatch. (2) The proposed model-free stator flux sliding mode control method designs a model-free flux sliding mode controller in the inner loop of the controller and constructs a one-beat speed predictive controller in the outer loop of the controller. The proposed MF-FSMC method can effectively improve the control accuracy of stator flux, significantly reduce the stator flux/torque ripple of the motor, and ensure the strong robustness of the predictive control system under parameter mismatch.
[1] 赵文祥, 宋世昌, 周书文, 等. 改进滑模观测器的电流源逆变器驱动PMSM无位置传感器控制[J]. 电工技术学报, 2024, 39(4): 987-995. Zhao Wenxiang, Song Shichang, Zhou Shuwen, et al.Sensorless control of current source inverter driven PMSM with improved sliding mode observer[J]. Transactions of China Electrotechnical Society, 2024, 39(4): 987-995. [2] 马伟明, 王东, 程思为, 等. 高性能电机系统的共性基础科学问题与技术发展前沿[J]. 中国电机工程学报, 2016, 36(8): 2025-2035. Ma Weiming, Wang Dong, Cheng Siwei, et al.Common basic scientific problems and development of leading-edge technology of high performance motor system[J]. Proceedings of the CSEE, 2016, 36(8): 2025-2035. [3] 张冰鑫, 刘侃, 李跃, 等. 基于累积误差补偿的永磁同步电机低速插值控制策略[J]. 电气工程学报, 2023, 18(3): 145-153. Zhang Bingxin, Liu Kan, Li Yue, et al.Low speed interpolation control strategy of permanent magnet synchronous motor based on accumulative error compensation[J]. Journal of Electrical Engineering, 2023, 18(3): 145-153. [4] 鲍旭聪, 王晓琳, 严廷雄, 等. 超高基频与超宽速域电机驱动系统优化设计[J]. 中国电机工程学报, 2023, 43(1): 329-339. Bao Xucong, Wang Xiaolin, Yan Tingxiong, et al.Optimization design of ultra-high fundamental frequency and ultra-wide speed motor drive system[J]. Proceedings of the CSEE, 2023, 43(1): 329-339. [5] 吴公平, 黄守道, 饶志蒙, 等. 新型N*3相永磁同步电机的特性分析及其预测控制[J]. 中国电机工程学报, 2019, 39(4): 1171-1181. Wu Gongping, Huang Shoudao, Rao Zhimeng, et al.Characteristic analysis and predictive control of a novel N*3-phase permanent magnet synchronous motor[J]. Proceedings of the CSEE, 2019, 39(4): 1171-1181. [6] 汪凤翔, 柯哲涵, 柯栋梁, 等. 基于强跟踪扩展卡尔曼观测器的三电平逆变器永磁同步电机无模型预测电流控制[J]. 中国电机工程学报, 2023, 43(22): 8910-8922. Wang Fengxiang, Ke Zhehan, Ke Dongliang, et al.Model-free predictive current control of three-level inverter-fed PMSM based on strong tracking extended Kalman observer[J]. Proceedings of the CSEE, 2023, 43(22): 8910-8922. [7] 李祥林, 薛志伟, 阎学雨, 等. 基于电压矢量快速筛选的永磁同步电机三矢量模型预测转矩控制[J]. 电工技术学报, 2022, 37(7): 1666-1678. Li Xianglin, Xue Zhiwei, Yan Xueyu, et al.Voltage vector rapid screening-based three-vector model predictive torque control for permanent magnet syn-chronous motor[J]. Transactions of China Electro-technical Society, 2022, 37(7): 1666-1678. [8] 邱建琪, 毛意涵, 陈卓易, 等. 永磁同步电机新型有限集模型预测速度控制[J]. 电机与控制学报, 2023, 27(4): 1-9. Qiu Jianqi, Mao Yihan, Chen Zhuoyi, et al.Improved finite set model predictive speed control of permanent magnet synchronous motor[J]. Electric Machines and Control, 2023, 27(4): 1-9. [9] 何黎鹏, 郭强, 肖蕙蕙, 等. 含负载前馈补偿的电流型PWM整流器改进无差拍控制[J]. 电工技术学报, 2024, 39(2): 501-513. He Lipeng, Guo Qiang, Xiao Huihui, et al.Improved deadbeat control of current-source PWM rectifiers with load feed-forward compensation[J]. Transactions of China Electrotechnical Society, 2024, 39(2): 501-513. [10] 王政, 温从剑, 朱辰雨, 等. 位置伺服永磁电机鲁棒性无差拍预测转速控制[J]. 电工技术学报, 2023, 38(19): 5176-5184. Wang Zheng, Wen Congjian, Zhu Chenyu, et al.Deadbeat predictive control for position servo permanent magnet motor[J]. Transactions of China Electrotechnical Society, 2023, 38(19): 5176-5184. [11] 徐艳平, 李园园, 张保程, 等. 一种消除权重系数三矢量模型预测转矩控制[J]. 电工技术学报, 2018, 33(16): 3925-3934. Xu Yanping, Li Yuanyuan, Zhang Baocheng, et al.Three-vector based model predictive torque control of eliminating weighting factor[J]. Transactions of China Electrotechnical Society, 2018, 33(16): 3925-3934. [12] 兰志勇, 罗杰, 李延昊, 等. 基于快速选择表的永磁同步电机模型预测转矩控制[J]. 电工技术学报, 2023, 38(21): 5749-5757. Lan Zhiyong, Luo Jie, Li Yanhao, et al.Model prediction torque control for permanent magnet synchronous motor based on the fast selection table[J]. Transactions of China Electrotechnical Society, 2023, 38(21): 5749-5757. [13] 谷鑫, 鲁金月, 王志强, 等. 基于无差拍电流预测控制的永磁同步电机谐波电流抑制策略[J]. 电工技术学报, 2022, 37(24): 6345-6356. Gu Xin, Lu Jinyue, Wang Zhiqiang, et al.Harmonic current suppression strategy for permanent magnet synchronous motor based on deadbeat current predi-ction control[J]. Transactions of China Electro-technical Society, 2022, 37(24): 6345-6356. [14] 付兴贺, 陈锐, 董婷, 等. 考虑参数不确定的永磁同步电机MTPA控制综述[J]. 中国电机工程学报, 2022, 42(2): 796-808. Fu Xinghe, Chen Rui, Dong Ting, et al.Review of MTPA control of permanent magnet synchronous motor considering parameter uncertainties[J]. Pro-ceedings of the CSEE, 2022, 42(2): 796-808. [15] An Xingke, Liu Guohai, Chen Qian, et al.Adjustable model predictive control for IPMSM drives based on online stator inductance identification[J]. IEEE Transactions on Industrial Electronics, 2022, 69(4): 3368-3381. [16] Zhou Ying, Zhang Shuo, Zhang Chengning, et al.Current prediction error based parameter identi-fication method for SPMSM with deadbeat predictive current control[J]. IEEE Transactions on Energy Conversion, 2021, 36(3): 1700-1710. [17] 姚绪梁, 黄乘齐, 王景芳, 等. 具有参数辨识功能的永磁同步电机双矢量模型预测电流控制[J]. 中国电机工程学报, 2023, 43(23): 9319-9330. Yao Xuliang, Huang Shengqi, Wang Jingfang, et al.A two-vector-based model predictive current control with online parameter identification for PMSM drives[J]. Proceedings of the CSEE, 2023, 43(23): 9319-9330. [18] 李争, 安金峰, 肖宇, 等. 基于自适应观测器的永磁同步直线电机模型预测控制系统设计[J]. 电工技术学报, 2021, 36(6): 1190-1200. Li Zheng, An Jinfeng, Xiao Yu, et al.Design of model predictive control system for permanent magnet synchronous linear motor based on adaptive observer[J]. Transactions of China Electrotechnical Society, 2021, 36(6): 1190-1200. [19] 杨帆, 赵希梅, 金鸿雁, 等. 基于无参数PMSM的自适应有限集模型预测控制[J]. 中国电机工程学报, 2023, 43(22): 8935-8944. Yang Fan, Zhao Ximei, Jin Hongyan, et al.Parameter-free adaptive finite control set model predictive control for PMSM[J]. Proceedings of the CSEE, 2023, 43(22): 8935-8944. [20] 苏光靖, 李红梅, 李争, 等. 永磁同步直线电机无模型电流控制[J]. 电工技术学报, 2021, 36(15): 3182-3190. Su Guangjing, Li Hongmei, Li Zheng, et al.Research on model-free current control of permanent magnet synchronous linear motor[J]. Transactions of China Electrotechnical Society, 2021, 36(15): 3182-3190. [21] Zhang Yongchang, Jin Jialin, Huang Lanlan.Model-free predictive current control of PMSM drives based on extended state observer using ultralocal model[J]. IEEE Transactions on Industrial Electronics, 2021, 68(2): 993-1003. [22] Gao Siyu, Wei Yanjun, Zhang Di, et al.Model-free hybrid parallel predictive speed control based on ultralocal model of PMSM for electric vehicles[J]. IEEE Transactions on Industrial Electronics, 2022, 69(10): 9739-9748. [23] Yuan Xin, Zuo Yuefei, Fan Ying, et al.Model-free predictive current control of SPMSM drives using extended state observer[J]. IEEE Transactions on Industrial Electronics, 2022, 69(7): 6540-6550. [24] Xu Dezhi, Shi Yan, Ji Zhicheng.Model-free adaptive discrete-time integral sliding-mode-constrained-control for autonomous 4WMV parking systems[J]. IEEE Transactions on Industrial Electronics, 2018, 65(1): 834-843. [25] 魏尧, 柯栋梁, 黄东晓, 等. 基于时间序列的永磁同步电机连续控制集无模型预测电流控制[J]. 电工技术学报, 2023, 38(22): 6027-6038. Wei Yao, Ke Dongliang, Huang Dongxiao, et al.A continuous-control-set type model-free predictive current control based on time-series for permanent magnet synchronous motor drives[J]. Transactions of China Electrotechnical Society, 2023, 38(22): 6027-6038. [26] Wu Gongping, Huang Sheng, Wu Qiuwei, et al.Predictive torque and stator flux control for N*3-phase PMSM drives with parameter robustness improvement[J]. IEEE Transactions on Power Elec-tronics, 2021, 36(2): 1970-1983. [27] 赵凯辉, 戴旺坷, 周瑞睿, 等. 基于扩展滑模扰动观测器的永磁同步电机新型无模型滑模控制[J]. 中国电机工程学报, 2022, 42(6): 2375-2386. Zhao Kaihui, Dai Wangke, Zhou Ruirui, et al.Novel model-free sliding mode control of permanent magnet synchronous motor based on extended sliding mode disturbance observer[J]. Proceedings of the CSEE, 2022, 42(6): 2375-2386.