Abstract：Permanent magnet synchronous motor (PMSM) has been widely used in industrial production, marine propulsion, and electric vehicle drive systems. To realize the high-performance control of PMSM, the finite control set model predictive current control (FCS-MPCC) algorithm has been applied to the speed control of PMSM by its single control mode and excellent dynamic performance. However, the prediction accuracy of this method largely depends on the accuracy of the mathematical model of the motor. In the actual control system, factors such as the magnetic saturation effect and temperature rise will cause parameter changes in motors, leading to the decline of model predictive control accuracy. The ultralocal model has been proposed as a model-free predictive control algorithm instead of the motor mathematical model to solve the parameter sensitivity problem in the FCS-MPCC algorithm. In this case, the current prediction can be realized by identifying the lumped parameters in the ultralocal model. The current sampling values of three consecutive sampling periods are subtracted successively to obtain the current error values for representing the lumped parameters in the ultralocal model. However, a stagnation problem exists in the current update. The specific phenomenon of this problem is that the phase current waveform appears to have an obvious peak, and the switching state of the inverter is no longer updated in several periods. This paper analyzes the mechanism of this phenomenon and then proposes a suppression strategy based on power factor angle calculation. The phenomenon of the current updating stagnation mainly occurs in the period with small phase current variation amplitude. During the initial several sampling cycles in this period, the current error value is unchanged even if the switching state of the inverter is different, which causes the lumped parameter expression to cross zero. The ultralocal model cannot accurately predict the current. The switching state of the inverter remains unchanged without updating under the inaccuracy prediction. Therefore, this paper adopts two steps to suppress such a phenomenon. The current updating stagnation state is first judged, and then the calculated switching state is updated on the inverter to make the system exit the stagnation state. When the system enters the current updating stagnation state, its main feature is that the switching state of the inverter remains unchanged for several periods. Once the continuous period value of the switching state of the inverter reaches the set value, the inverter state is directly forced to update. Then, to get the appropriate switching state, it is necessary to determine the sector of the reference voltage vector. Thus, a method based on power factor angle calculation is proposed. In this method, the sampled current and voltage of the current dq axis are calculated to obtain the value of the power factor angle, and the position of the reference voltage vector is calculated. Finally, the effectiveness of the proposed method is verified by experiments on a PMSM pair-tow platform. Under low speed and light load conditions, the THD value of the current after the suppression is reduced from 36.68% to 14.66%. Compared with the traditional FCS-MPCC algorithm, the THD value of phase current is reduced by 8.36%, which proves that the proposed method can reduce the sensitivity of motor parameters.
罗力岩, 樊启高. 一种改进型永磁同步电机无模型预测电流控制策略[J]. 电工技术学报, 2025, 40(4): 1034-1045.
Luo Liyan, Fan Qigao. An Improved Model-Free Predictive Current Control Strategy for Permanent Magnet Synchronous Motors. Transactions of China Electrotechnical Society, 2025, 40(4): 1034-1045.
[1] 鲍旭聪, 王晓琳, 彭旭衡, 等. 高速电机驱动关键技术研究综述[J]. 中国电机工程学报, 2022, 42(18): 6856-6871. Bao Xucong, Wang Xiaolin, Peng Xuheng, et al.Review of key technologies of high-speed motor drive[J]. Proceedings of the CSEE, 2022, 42(18): 6856-6871. [2] Huang Wentao, Zhu Xiaofeng, Zhang Hengliang, et al.Generalized fault-tolerant model predictive control of five-phase PMSM drives under single/two openswitch faults[J]. IEEE Transactions on Industrial Electronics, 2023, 70(8): 7569-7579. [3] Huang Wentao, Du Jiachen, Hua Wei, et al.A hybrid model-based diagnosis approach for open-switch faults in PMSM drives[J]. IEEE Transactions on Power Electronics, 2022, 37(4): 3728-3732. [4] 蒋钱, 卢琴芬, 李焱鑫. 双三相永磁直线同步电机的推力波动及抑制[J]. 电工技术学报, 2021, 36(5): 883-892. Jiang Qian, Lu Qinfen, Li Yanxin.Thrust ripple and depression method of dual three-phase permanent magnet linear synchronous motors[J]. Transactions of China Electrotechnical Society, 2021, 36(5): 883-892. [5] 黄文涛, 花为, 於锋. 考虑定位力矩补偿的磁通切换永磁电机模型预测转矩控制方法[J]. 电工技术学报, 2017, 32(15): 27-33. Huang Wentao, Hua Wei, Yu Feng.A model predictive torque control scheme for flux-switching permanent magnet machines with cogging torque compensation[J]. Transactions of China Electrotechnical Society, 2017, 32(15): 27-33. [6] 柯栋梁, 汪凤翔, 李家祥. 基于自适应高增益观测器的永磁同步电机预测电流控制方法[J]. 中国电机工程学报, 2021, 41(2): 728-738. Ke Dongliang, Wang Fengxiang, Li Jiaxiang.Predictive current control of permanent magnet synchronous motor based on an adaptive high-gain observer[J]. Proceedings of the CSEE, 2021, 41(2): 728-738. [7] 杜嘉晨, 樊启高, 黄文涛. 基于混合逻辑动态模型的PMSM系统开路故障诊断方法[J]. 电机与控制学报, 2023, 27(8): 100-108. Du Jiachen, Fan Qigao, Huang Wentao.Open-circuit fault diagnosis for PMSM system based on mixed logical dynamic model[J]. Electric Machines and Control, 2023, 27(8): 100-108. [8] 章回炫, 范涛, 边元均, 等. 永磁同步电机高性能电流预测控制[J]. 电工技术学报, 2022, 37(17): 4335-4345. Zhang Huixuan, Fan Tao, Bian Yuanjun, et al.Predictive current control strategy of permanent magnet synchronous motors with high performance[J]. Transactions of China Electrotechnical Society, 2022, 37(17): 4335-4345. [9] 张虎, 张永昌, 刘家利, 等. 基于单次电流采样的永磁同步电机无模型预测电流控制[J]. 电工技术学报, 2017, 32(2): 180-187. Zhang Hu, Zhang Yongchang, Liu Jiali, et al.Model-free predictive current control of permanent magnet synchronous motor based on single current sampling[J]. Transactions of China Electrotechnical Society, 2017, 32(2): 180-187. [10] Huang Wentao, Hua Wei, Yin Fangbo, et al.Model predictive thrust force control of a linear fluxswitching permanent magnet machine with voltage vectors selection and synthesis[J]. IEEE Transactions on Industrial Electronics, 2019, 66(6): 4956-4967. [11] 陈卓易, 屈稳太. 基于PID型代价函数的永磁同步电机模型预测电流控制[J]. 电工技术学报, 2021, 36(14): 2971-2978. Chen Zhuoyi, Qu Wentai.Model predictive current control for permanent magnet synchronous motors based on PID-type cost function[J]. Transactions of China Electrotechnical Society, 2021, 36(14): 2971-2978. [12] 郭磊磊, 王朋帅, 李琰琰, 等. 不同代价函数下永磁同步电机模型预测控制参数失配可视化分析[J]. 电工技术学报, 2023, 38(4): 903-914. Guo Leilei, Wang Pengshuai, Li Yanyan, et al.Visual analysis of parameters mismatch in model predictive control for permanent magnet synchronous motor under different cost functions[J]. Transactions of China Electrotechnical Society, 2023, 38(4): 903-914. [13] 史涔溦, 解正宵, 陈卓易, 等. 永磁同步电机无参数超局部模型预测控制[J]. 电机与控制学报, 2021, 25(8): 1-8. Shi Cenwei, Xie Zhengxiao, Chen Zhuoyi, et al.Model-free predictive control based on ultra-local model for permanent magnet synchronous machines[J]. Electric Machines and Control, 2021, 25(8): 1-8. [14] 张永昌, 杨海涛, 魏香龙. 基于快速矢量选择的永磁同步电机模型预测控制[J]. 电工技术学报, 2016, 31(6): 66-73. Zhang Yongchang, Yang Haitao, Wei Xianglong.Model predictive control of permanent magnet synchronous motors based on fast vector selection[J]. Transactions of China Electrotechnical Society, 2016, 31(6): 66-73. [15] 李键, 牛峰, 黄晓艳, 等. 永磁同步电机有限控集模型预测电流控制预测误差分析[J]. 电机与控制学报, 2019, 23(4): 1-7. Li Jian, Niu Feng, Huang Xiaoyan, et al.Prediction error analysis of finite-control-set model predictive current control for PMSMs[J]. Electric Machines and Control, 2019, 23(4): 1-7. [16] Khalilzadeh M, Vaez-Zadeh S, Rodriguez J, et al.Model-free predictive control of motor drives and power converters: a review[J]. IEEE Access, 2021, 9: 105733-105747. [17] Zhang Yongchang, Liu Jie.An improved model-free predictive current control of PWM rectifiers[C]//2017 20th International Conference on Electrical Machines and Systems (ICEMS), Sydney, NSW, Australia, 2017: 1-5. [18] Lin Chengkai, Liu Tianhua, Yu J T, et al.Model-free predictive current control for interior permanentmagnet synchronous motor drives based on current difference detection technique[J]. IEEE Transactions on Industrial Electronics, 2014, 61(2): 667-681. [19] Lin Chengkai, Yu J T, Lai Y S, et al.Improved model-free predictive current control for synchronous reluctance motor drives[J]. IEEE Transactions on Industrial Electronics, 2016, 63(6): 3942-3953. [20] Carlet P G, Tinazzi F, Bolognani S, et al.An effective model-free predictive current control for synchronous reluctance motor drives[J]. IEEE Transactions on Industry Applications, 2019, 55(4): 3781-3790. [21] Zerdali E, Wheeler P.Model-free simplified predictive current control of PMSM drive with ultra-local model-based EKF[C]//2021 3rd Global Power, Energy and Communication Conference (GPECOM), Antalya, Turkey, 2021: 62-66. [22] 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. [23] 许令亮, 陈桂明, 李乔扬. 基于ESO的超局部无模型PMSM转速预测控制[J]. 北京航空航天大学学报, 2022, 48(11): 2204-2214. Xu Lingliang, Chen Guiming, Li Qiaoyang.Ultralocal model-free speed predictive control based on ESO for PMSM[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(11): 2204-2214. [24] 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. [25] Han Lei, Zhang Yongchang, Wang Xing, et al.Current harmonics minimization of model-free predictive current control for PWM rectifiers based on hybrid SVM[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2024, 12(1): 486-495. [26] 陈卓易, 邱建琪, 金孟加. 永磁同步电机有限集无参数模型预测控制[J]. 电机与控制学报, 2019, 23(1): 19-26. Chen Zhuoyi, Qiu Jianqi, Jin Mengjia.Finite control set nonparametric model predictive control for permanent magnet synchronous machines[J]. Electric Machines and Control, 2019, 23(1): 19-26. [27] Michel F, Cédric J.Model-free control[J]. International Journal of Control, 2013, 86(12): 2228-2252.
2025, Vol. 40 
