Abstract：In order to achieve high-performance speed control of permanent magnet synchronous motor (PMSM), the model predictive control strategy is usually adopted. The single-vector model predictive control only outputs one voltage vector in each control cycle, which leads to a high steady-state ripple. The dual-vector model predictive control is widely used in PMSM control. However, the switching frequency of the inverter using dual-vector model predictive control is high and unfixed, and needs a large amount of calculation, increasing the hardware requirements and costs. Therefore, this paper proposes a dual-vector model predictive control with fixed switching frequency for PMSM, which fixes the switching frequency, reduces the calculation amount, and is more beneficial to practical application. The sector where the reference voltage vector is located in each control period always changes in a fixed mode, circulating from sector I to sector VI and only changing to the adjacent sectors or remaining the same in the next control cycle. Accordingly, an efficient voltage vector selection table is designed. Thus, the voltage vector will be only selected from the adjacent voltage vectors. In addition, to further reduce the calculation burden, the value function based on voltage difference is used to screen the voltage vector. The calculation scheme of voltage vector action time is given based on the voltage difference value function using the reservation error. The negative action time and the sum of action time exceeding the control cycle are avoided, and the stability of the control system is improved. An experimental prototype based on dSPACE1104 is built to compare and study the control strategies mentioned in this paper. The experimental results show that in terms of static performance, compared with the traditional D-MPCC, the proposed FD-MPC has less torque ripple, better smoothness, and a lower harmonic rate of A-phase current, indicating that the FD-MPC can maintain good steady-state performance while reducing calculation amount and fixing switching frequency. Regarding dynamic performance, both strategies have good effects on adjusting speed after adding load. The A-phase current of both strategies can quickly track the torque change while maintaining a good sine degree. Regarding calculation amount, the calculation time of FD-MPC is significantly smaller than that of D-MPCC, which is beneficial to improve the practicability of the control system. The following conclusions can be drawn from the experimental and simulation results: (1) Compared with the traditional D-MPCC, the proposed FD-MPC can effectively reduce the amount of calculation, simplify the control structure and enhance the robustness using the efficient voltage vector selection table and the value function based on voltage difference to filter the voltage vector. (2) The voltage vector action time calculation method based on the voltage difference value function is further proposed. The reservation error is used to avoid the negative action time, and the sum of action time is greater than the control period. The proposed FD-MPC has better steady-state and dynamic performance than the traditional D-MPCC.
陈荣, 翟凯淼, 舒胡平. 永磁同步电机双矢量固定开关频率模型预测控制研究[J]. 电工技术学报, 2023, 38(14): 3812-3823.
Chen Rong, Zhai Kaimiao, Shu Huping. Predictive Control of Dual Vector Fixed Switching Frequency Model for Permanent Magnet Synchronous Motor. Transactions of China Electrotechnical Society, 2023, 38(14): 3812-3823.
[1] 於锋, 朱晨光, 吴晓新, 等. 基于矢量分区的永磁同步电机三电平双矢量模型预测磁链控制[J]. 电工技术学报, 2020, 35(10): 2130-2140. Yu Feng, Zhu Chenguang, Wu Xiaoxin, et al.Two- vector-based model predictive flux control of three- level based permanent magnet synchronous motor with sector subregion[J]. Transactions of China Electrotechnical Society, 2020, 35(10): 2130-2140. [2] 王晓琳, 刘思豪, 顾聪. 基于自适应基准锁相环的高速永磁电机转子位置误差全补偿方法[J]. 电工技术学报, 2021, 36(20): 4308-4317. Wang Xiaolin, Liu Sihao, Gu Cong.A rotor position error compensation algorithm for high-speed per- manent magnet motor based on phase-locked loop with adaptive reference[J]. Transactions of China Electrotechnical Society, 2021, 36(20): 4308-4317. [3] Shriwastava R G, Bhise D R, Nagrale P.Comparative analysis of FOC based three level DCMLI driven PMSM drive[C]//2019 International Conference on Innovative Trends and Advances in Engineering and Technology (ICITAET), Shegoaon, India, 2020: 26-31. [4] 王学庆, 王政, 程明. T型三电平逆变器馈电双三相PMSM直接转矩控制[J]. 电工技术学报, 2017, 32(增刊1): 116-123. Wang Xueqing, Wang Zheng, Cheng Ming.Direct torque control of T-type three-level inverter fed dual three-phase PMSM drives[J]. Transactions of China Electrotechnical Society, 2017, 32(S1): 116-123. [5] Rehman A U, Basit B A, Choi H H, et al.Com- putationally efficient deadbeat direct torque control considering speed dynamics for a surface-mounted PMSM drive[J]. IEEE/ASME Transactions on Mechatro- nics, 2022, 27(5): 3407-3418. [6] 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. [7] 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/OL]. 中国电机工程学报: 1-13[2022-12-10]. Yao Xuliang, Huang Chengqi, Wang Jingfang, et al.A two-vector-based model predictive current control with online parameter identification for PMSM drives[J/OL]. Proceedings of the CSEE, 1-13[2022- 12-10]. [8] 冯智煜, 高琳, 殷凯轩, 等. 开绕组永磁同步电机零矢量注入模型预测控制[J]. 电机与控制学报, 2022, 26(2): 32-42. Feng Zhiyu, Gao Lin, Yin Kaixuan, et al.Improved model predictive zero vector injection control for open-winding permanent magnet synchronous motors[J]. Electric Machines and Control, 2022, 26(2): 32-42. [9] 徐艳平, 张保程, 周钦. 永磁同步电机双矢量模型预测电流控制[J]. 电工技术学报, 2017, 32(20): 222-230. Xu Yanping, Zhang Baocheng, Zhou Qin.Two-vector based model predictive current control for permanent magnet synchronous motor[J]. Transactions of China Electrotechnical Society, 2017, 32(20): 222-230. [10] 窦智峰, 晋玉祥, 金楠, 等. 高效电压源逆变器双矢量模型预测电流控制[J]. 电机与控制学报, 2020, 24(6): 153-162. Dou Zhifeng, Jin Yuxiang, Jin Nan, et al.Two- vector-based mode predictive current control for voltage source inverter with high efficiency[J]. Elec- tric Machines and Control, 2020, 24(6): 153-162. [11] 张晓光, 闫康, 张文涵. 开绕组永磁同步电机混合双矢量模型预测控制[J]. 电工技术学报, 2021, 36(1): 96-106. Zhang Xiaoguang, Yan Kang, Zhang Wenhan.Hybrid double vector model predictive control for open- winding permanent magnet synchronous motor with common DC bus[J]. Transactions of China Electro- technical Society, 2021, 36(1): 96-106. [12] 高逍男, 陈希有. 一种改进的永磁同步电机模型预测控制[J]. 电力自动化设备, 2017, 37(4): 197-202, 217. Gao Xiaonan, Chen Xiyou.Improved model predi- ctive control of permanent magnet synchronous motor[J]. Electric Power Automation Equipment, 2017, 37(4): 197-202, 217. [13] 姚骏, 刘瑞阔, 尹潇. 永磁同步电机三矢量低开关频率模型预测控制研究[J]. 电工技术学报, 2018, 33(13): 2935-2945. Yao Jun, Liu Ruikuo, Yin Xiao.Research on 3-vector model predictive control with low switching fre- quency of permanent magnet synchronous motor[J]. Transactions of China Electrotechnical Society, 2018, 33(13): 2935-2945. [14] 朱晨光, 於锋, 罗潇, 等. 计及开关频率分区优化的PMSM三电平模型预测控制[J]. 电源学报, 2022, 20(3): 133-143. Zhu Chenguang, Yu Feng, Luo Xiao, et al.Three- level model predictive control of PMSM based on subregion switching frequency optimization[J]. Journal of Power Supply, 2022, 20(3): 133-143. [15] Zhang Xiaoguang, Zhao Zhihao.Model predictive control for PMSM drives with variable dead-zone time[J]. IEEE Transactions on Power Electronics, 2021, 36(9): 10514-10525. [16] 李昱, 郭宏, 平朝春, 等. 基于电流源变流器的永磁同步电机驱动系统全状态变量预测转矩控制[J]. 电工技术学报, 2021, 36(1): 15-26. Li Yu, Guo Hong, Ping Zhaochun, et al.A full-state variable predictive torque control of current source converter fed permanent magnet synchronous motor drives[J]. Transactions of China Electrotechnical Society, 2021, 36(1): 15-26. [17] 郑长明, 阳佳峰, 高昂, 等. 永磁同步电机长线变频驱动系统定频滑模预测电流控制[J/OL]. 电工技术学报: 1-11[2022-11-25]. Zheng Changming, Yang Jiafeng, Gao Ang, et al.Fixed switching frequency sliding-mode predictive current control of a PMSM variable-frequency drive system with long cables[J/OL]. Transactions of China Electrotechnical Society, 1-11[2022-11-25]. [18] Xu Shuai, Sun Zhenyao, Yao Chunxing, et al.Model predictive control with constant switching frequency for three-level T-type inverter-fed PMSM drives[J]. IEEE Transactions on Industrial Electronics, 2022, 69(9): 8839-8850. [19] Liu Xiaodong, Zhang Zhenbin, Yang Xinliang, et al.Fixed switching frequency predictive control for PMSM drives with guaranteed control dynamics[C]// 2020 IEEE 9th International Power Electronics and Motion Control Conference (IPEMC2020-ECCE Asia), Nanjing, China, 2021: 3033-3038. [20] Mishra I, Tripathi R N, Kumar Singh V, et al.Discrete adaptive HCC based FS-MPC with constant switching frequency for PMSM drives[C]//2019 22nd International Conference on Electrical Machines and Systems (ICEMS), Harbin, China, 2019: 1-6.
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