volume | PIER Journals

Abstract

Conventional model predictive flux control (C-MPFC) generates large steady-state ripples, and the system reference values are heavily dependent on the permanent magnet (PM) flux This paper proposes a discrete space vector modulation model predictive flux control with a reformulated incremental cost function and efficient search strategy (RDSVM-MPFC) for surface-mounted permanent magnet synchronous motors (SPMSMs). First, a unified cost function based on flux increments is reconstructed by redefining the d-axis reference flux. Second, the candidate set is expanded via discrete space vector modulation (DSVM) in the spatial flux increment plane to generate a set of virtual flux increment vectors (VFIVs), thereby significantly suppressing steady-state errors. Furthermore, to manage the heavy computation burden associated with the expanded VFIVs, a three-stage hierarchical optimization strategy is designed. This approach achieves rapid identification of the optimal control vector, which preserves the high steady-state precision while largely reducing the computational complexity of the system. Finally, experimental studies demonstrate that the proposed RDSVM-MPFC strategy eliminates sensitivity to PM flux variations and markedly suppresses steady-state pulsations.

1. Luo, Yixiao and Chunhua Liu, "Elimination of harmonic currents using a reference voltage vector based-model predictive control for a six-phase PMSM motor," IEEE Transactions on Power Electronics, Vol. 34, No. 7, 6960-6972, Jul. 2019.
doi:10.1109/tpel.2018.2874893 Google Scholar

2. Ramesh, P. and N. C. Lenin, "High power density electrical machines for electric vehicles --- Comprehensive review based on material technology," IEEE Transactions on Magnetics, Vol. 55, No. 11, 1-21, Nov. 2019.
doi:10.1109/tmag.2019.2929145 Google Scholar

3. Navardi, Mohammad Javad, Jafar Milimonfared, and Heidar Ali Talebi, "Torque and flux ripples minimization of permanent magnet synchronous motor by a predictive-based hybrid direct torque control," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 6, No. 4, 1662-1670, Dec. 2018.
doi:10.1109/jestpe.2018.2834559 Google Scholar

4. Zhong, L., M. F. Rahman, W. Y. Hu, and K. W. Lim, "Analysis of direct torque control in permanent magnet synchronous motor drives," IEEE Transactions on Power Electronics, Vol. 12, No. 3, 528-536, May 1997.
doi:10.1109/63.575680 Google Scholar

5. Alfaro, Carlos, Ramon Guzman, Luis Garcia de Vicuña, Jaume Miret, and Miguel Castilla, "Dual-loop continuous control set model-predictive control for a three-phase unity power factor rectifier," IEEE Transactions on Power Electronics, Vol. 37, No. 2, 1447-1460, Feb. 2022.
doi:10.1109/tpel.2021.3107221 Google Scholar

6. Preindl, Matthias, "Robust control invariant sets and Lyapunov-based MPC for IPM synchronous motor drives," IEEE Transactions on Industrial Electronics, Vol. 63, No. 6, 3925-3933, Jun. 2016.
doi:10.1109/tie.2016.2527722 Google Scholar

7. Yuan, Xin, Shuo Zhang, Chengning Zhang, Alessandro Galassini, Giampaolo Buticchi, and Michele Degano, "Improved model predictive current control for SPMSM drives using current update mechanism," IEEE Transactions on Industrial Electronics, Vol. 68, No. 3, 1938-1948, Mar. 2021.
doi:10.1109/tie.2020.2973880 Google Scholar

8. Zhou, Zhanqing, Changliang Xia, Yan Yan, Zhiqiang Wang, and Tingna Shi, "Torque ripple minimization of predictive torque control for PMSM with extended control set," IEEE Transactions on Industrial Electronics, Vol. 64, No. 9, 6930-6939, Sep. 2017.
doi:10.1109/tie.2017.2686320 Google Scholar

9. Davari, S. Alireza, Davood Arab Khaburi, and Ralph Kennel, "An improved FCS–MPC algorithm for an induction motor with an imposed optimized weighting factor," IEEE Transactions on Power Electronics, Vol. 27, No. 3, 1540-1551, Mar. 2012.
doi:10.1109/tpel.2011.2162343 Google Scholar

10. Zhang, Yongchang and Haitao Yang, "Model predictive torque control of induction motor drives with optimal duty cycle control," IEEE Transactions on Power Electronics, Vol. 29, No. 12, 6593-6603, Dec. 2014.
doi:10.1109/tpel.2014.2302838 Google Scholar

11. Rojas, Christian A., Jose Rodriguez, Felipe Villarroel, José R. Espinoza, César A. Silva, and Mauricio Trincado, "Predictive torque and flux control without weighting factors," IEEE Transactions on Industrial Electronics, Vol. 60, No. 2, 681-690, Feb. 2013.
doi:10.1109/tie.2012.2206344 Google Scholar

12. Villarroel, Felipe, José R. Espinoza, Christian A. Rojas, Jose Rodriguez, Marco Rivera, and Daniel Sbarbaro, "Multiobjective switching state selector for finite-states model predictive control based on fuzzy decision making in a matrix converter," IEEE Transactions on Industrial Electronics, Vol. 60, No. 2, 589-599, Feb. 2013.
doi:10.1109/tie.2012.2206343 Google Scholar

13. Davari, Seyed Alireza, Davood Arab Khaburi, and Ralph Kennel, "Using a weighting factor table for FCS-MPC of induction motors with extended prediction horizon," IECON 2012 --- 38th Annual Conference on IEEE Industrial Electronics Society, 2086-2091, Montreal, QC, Canada, Oct. 2012.
doi:10.1109/IECON.2012.6388737

14. Cortes, Patricio, Samir Kouro, Bruno La Rocca, Rene Vargas, Jose Rodriguez, Jose I. Leon, Sergio Vazquez, and Leopoldo G. Franquelo, "Guidelines for weighting factors design in model predictive control of power converters and drives," 2009 IEEE International Conference on Industrial Technology, 1-7, Churchill, VIC, Australia, 2009.
doi:10.1109/ICIT.2009.4939742

15. Zheng, Zhihao and Dan Sun, "Model predictive flux control with cost function-based field weakening strategy for permanent magnet synchronous motor," IEEE Transactions on Power Electronics, Vol. 35, No. 2, 2151-2159, Feb. 2020.
doi:10.1109/tpel.2019.2921361 Google Scholar

16. Zhang, Yongchang, Haitao Yang, and Bo Xia, "Model-predictive control of induction motor drives: Torque control versus flux control," IEEE Transactions on Industry Applications, Vol. 52, No. 5, 4050-4060, Sep.-Oct. 2016.
doi:10.1109/tia.2016.2582796 Google Scholar

17. Yan, Liming, Manfeng Dou, and Zhiguang Hua, "Disturbance compensation-based model predictive flux control of SPMSM with optimal duty cycle," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 7, No. 3, 1872-1882, Sep. 2019.
doi:10.1109/jestpe.2018.2859979 Google Scholar

18. Wang, Qiwei, Gaolin Wang, Nannan Zhao, Guoqiang Zhang, Qingwen Cui, and Dianguo Xu, "An impedance model-based multiparameter identification method of PMSM for both offline and online conditions," IEEE Transactions on Power Electronics, Vol. 36, No. 1, 727-738, Jan. 2021.
doi:10.1109/tpel.2020.3000896 Google Scholar

19. Mousavi, Mahdi S., S. Alireza Davari, Vahab Nekoukar, Cristian Garcia, and Jose Rodriguez, "A robust torque and flux prediction model by a modified disturbance rejection method for finite-set model-predictive control of induction motor," IEEE Transactions on Power Electronics, Vol. 36, No. 8, 9322-9333, Aug. 2021.
doi:10.1109/tpel.2021.3054242 Google Scholar

20. Huang, Shoudao, Gongping Wu, Fei Rong, Changfan Zhang, Sheng Huang, and Qiuwei Wu, "Novel predictive stator flux control techniques for PMSM drives," IEEE Transactions on Power Electronics, Vol. 34, No. 9, 8916-8929, Sep. 2019.
doi:10.1109/tpel.2018.2884984 Google Scholar

21. Hou, Qiankang, Shihong Ding, and Xinghuo Yu, "Composite super-twisting sliding mode control design for PMSM speed regulation problem based on a novel disturbance observer," IEEE Transactions on Energy Conversion, Vol. 36, No. 4, 2591-2599, Dec. 2021.
doi:10.1109/tec.2020.2985054 Google Scholar

22. Chen, Long, Hao Xu, Xiaodong Sun, and Yingfeng Cai, "Three-vector-based model predictive torque control for a permanent magnet synchronous motor of EVs," IEEE Transactions on Transportation Electrification, Vol. 7, No. 3, 1454-1465, Sep. 2021.
doi:10.1109/tte.2021.3053256 Google Scholar

23. Gao, Liliang, John E. Fletcher, and Libo Zheng, "Low-speed control improvements for a two-level five-phase inverter-fed induction machine using classic direct torque control," IEEE Transactions on Industrial Electronics, Vol. 58, No. 7, 2744-2754, Jul. 2011.
doi:10.1109/tie.2010.2070775 Google Scholar

24. Gu, Mingxing, Yong Yang, Mingdi Fan, Yang Xiao, Ping Liu, Xinan Zhang, Hui Yang, and Jose Rodriguez, "Finite control set model predictive torque control with reduced computation burden for PMSM based on discrete space vector modulation," IEEE Transactions on Energy Conversion, Vol. 38, No. 1, 703-712, Mar. 2023.
doi:10.1109/tec.2022.3211569 Google Scholar

25. Wang, Wusen, Chunhua Liu, Senyi Liu, and Hang Zhao, "Model predictive torque control for dual three-phase PMSMs with simplified deadbeat solution and discrete space-vector modulation," IEEE Transactions on Energy Conversion, Vol. 36, No. 2, 1491-1499, Jun. 2021.
doi:10.1109/tec.2021.3052132 Google Scholar

26. Wang, Yuanlin, Xiaocan Wang, Wei Xie, Fengxiang Wang, Manfeng Dou, Ralph M. Kennel, Robert D. Lorenz, and Dieter Gerling, "Deadbeat model-predictive torque control with discrete space-vector modulation for PMSM drives," IEEE Transactions on Industrial Electronics, Vol. 64, No. 5, 3537-3547, May 2017.
doi:10.1109/tie.2017.2652338 Google Scholar

27. Osman, Ilham, Dan Xiao, Muhammed F. Rahman, Margarita Norambuena, and Jose Rodriguez, "Discrete space vector modulation based model predictive flux control with reduced switching frequency for IM drive," IEEE Transactions on Energy Conversion, Vol. 36, No. 2, 1357-1367, Jun. 2021.
doi:10.1109/tec.2020.3033356 Google Scholar

Dr. Yang Zhang

Dr. Jiahao Zhang

Mr. Ping Yang

Dr. Wancheng Xie

Dr. Shaoziyi Wu