Multi-vector model predictive control (MPC) of permanent magnet synchronous motors (PMSM) has two issues: selecting the optimal voltage vector (VV) combination is very complicated, and multiple prediction calculations to minimize the cost function result in a heavy computational burden; applying a VV with a short duration may generate narrow pulses, while the effect of reducing torque ripples and stator current harmonics is not obvious. The hybrid-vector model prediction flux control (HV-MPFC) strategy considering narrow pulse suppression is proposed in this paper. First, the optimal VV combination is quickly identified by the sector where the stator flux error vector is located, which lowers the control complexity and computational burden. Secondly, by the relationship between the action time of three VVs and the set time threshold, the hybrid-vector strategy to switch among three VVs, two VVs, and a single VV is employed to prevent the generation of narrow pulses. Finally, experimental results show that, compared with the existing three-vector MPC strategy, the HV-MPFC strategy effectively suppresses the generation of narrow pulses and achieves smaller torque ripples and stator current harmonics at the same switching frequency.
2. Zhang, R., Z. Yin, N. Du, J. Liu, and X. Tong, "Robust adaptive current control of a 1.2-MW direct-drive PMSM for traction drives based on internal model control with disturbance observer," IEEE Transactions on Transportation Electrification, Vol. 7, No. 3, 1466-1481, Sept. 2021.
doi:10.1109/TTE.2021.3058012
3. Murshid, S. and B. Singh, "Implementation of PMSM drive for a solar water pumping system," IEEE Transactions on Industry Applications, Vol. 55, No. 5, 4956-4964, Sept.-Oct. 2019.
doi:10.1109/TIA.2019.2924401
4. Wang, G., M. Valla, and J. Solsona, "Position sensorless permanent magnet synchronous machine drives --- A review," IEEE Transactions on Industrial Electronics, Vol. 67, No. 7, 5830-5842, Jul. 2020.
doi:10.1109/TIE.2019.2955409
5. Wang, W., et al., "New three-phase current reconstruction for PMSM drive with hybrid space vector pulsewidth modulation technique," IEEE Transactions on Power Electronics, Vol. 36, No. 1, 662-673, Jan. 2021.
doi:10.1109/TPEL.2020.2997986
6. Casadei, D., F. Profumo, G. Serra, and A. Tani, "FOC and DTC: two viable schemes for induction motors torque control," IEEE Transactions on Power Electronics, Vol. 17, No. 5, 779-787, Sept. 2002.
doi:10.1109/TPEL.2002.802183
7. Zhang, X. and Y. He, "Direct voltage-selection based model predictive direct speed control for PMSM drives without weighting factor," IEEE Transactions on Power Electronics, Vol. 34, No. 8, 7838-7851, Aug. 2019.
doi:10.1109/TPEL.2018.2880906
8. Yu, F., S. Zhao, Z. Tian, and X. Wu, "Model predictive flux control of semicontrolled open-winding PMSG with circulating current elimination," IEEE Transactions on Industrial Informatics, Vol. 17, No. 2, 1438-1448, Feb. 2021.
doi:10.1109/TII.2020.2994086
9. Ge, L., J. Zhong, J. Huang, N. Jiao, S. Song, and R. W. De Doncker, "A novel model predictive torque control of SRMs with low measurement effort," IEEE Transactions on Industrial Electronics, Vol. 70, No. 4, 3561-3570, Apr. 2023.
doi:10.1109/TIE.2022.3179564
10. Zhang, Y., D. Xu, and L. Huang, "Generalized multiple-vector-based model predictive control for PMSM drives," IEEE Transactions on Industrial Electronics, Vol. 65, No. 12, 9356-9366, Dec. 2018.
doi:10.1109/TIE.2018.2813994
11. Zhang, X. and B. Hou, "Double vectors model predictive torque control without weighting factor based on voltage tracking error," IEEE Transactions on Power Electronics, Vol. 33, No. 3, 2368-2380, Mar. 2018.
doi:10.1109/TPEL.2017.2691776
12. Osman, I., D. Xiao, K. S. Alam, S. M. S. I. Shakib, M. P. Akter, and M. F. Rahman, "Discrete space vector modulation-based model predictive torque control with no suboptimization," IEEE Transactions on Industrial Electronics, Vol. 67, No. 10, 8164-8174, Oct. 2020.
doi:10.1109/TIE.2019.2946559
13. Zhang, X. and Z. Zhao, "Multi-stage series model predictive control for PMSM drives," IEEE Transactions on Vehicular Technology, Vol. 70, No. 7, 6591-6600, Jul. 2021.
doi:10.1109/TVT.2021.3086532
14. Sun, X., T. Li, M. Yao, G. Lei, Y. Guo, and J. Zhu, "Improved finite-control-set model predictive control with virtual vectors for PMSHM drives," IEEE Transactions on Energy Conversion, Vol. 37, No. 3, 1885-1894, Sept. 2022.
15. Zhang, Y., D. Xu, J. Liu, S. Gao, and W. Xu, "Performance improvement of model-predictive current control of permanent magnet synchronous motor drives," IEEE Transactions on Industry Applications, Vol. 53, No. 4, 3683-3695, Jul.-Aug. 2017.
doi:10.1109/TIA.2017.2690998
16. Zhao, W., H. Wang, T. Tao, and D. Xu, "Model Predictive torque control of five-phase PMSM by using double virtual voltage vectors based on geometric principle," IEEE Transactions on Transportation Electrification, Vol. 7, No. 4, 2635-2644, Dec. 2021.
doi:10.1109/TTE.2021.3063193
17. Kang, S.-W., J.-H. Soh, and R.-Y. Kim, "Symmetrical three-vector-based model predictive control with deadbeat solution for IPMSM in rotating reference frame," IEEE Transactions on Industrial Electronics, Vol. 67, No. 1, 159-168, Jan. 2020.
doi:10.1109/TIE.2018.2890490
18. Wang, C., J. Ji, H. Tang, T. Tao, and W. Zhao, "Improved model predictive current control for linear vernier permanent-magnet motor with efficient voltage vectors selection," IEEE Transactions on Industrial Electronics, Vol. 70, No. 3, 2833-2842, Mar. 2023.
doi:10.1109/TIE.2022.3169827
19. Yu, F., K. Li, Z. Zhu, and X. Liu, "An over-modulated model predictive current control for permanent magnet synchronous motors," IEEE Access, Vol. 10, 40391-40401, 2022.
doi:10.1109/ACCESS.2022.3166511
20. Gu, M., et al., "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
21. Jin, T., H. Song, D. L. Mon-Nzongo, P. G. Ipoum-Ngome, H. Liao, and M. Zhu, "Virtual three-level model predictive flux control with reduced computational burden and switching frequency for induction motors," IEEE Transactions on Power Electronics, Vol. 38, No. 2, 1571-1582, Feb. 2023.
doi:10.1109/TPEL.2022.3210388
22. Li, X., Z. Xue, L. Zhang, and W. Hua, "A low-complexity three-vector-based model predictive torque control for SPMSM," IEEE Transactions on Power Electronics, Vol. 36, No. 11, 13002-13012, Nov. 2021.
doi:10.1109/TPEL.2021.3079147
23. Xu, B., Q. Jiang, W. Ji, and S. Ding, "An improved three-vector-based model predictive current control method for surface-mounted PMSM drives," IEEE Transactions on Transportation Electrification, Vol. 8, No. 4, 4418-4430, Dec. 2022.
doi:10.1109/TTE.2022.3169515
24. Petkar, S. G. and V. K. Thippiripati, "Effective multivector-operated predictive current control of PMSM drive with reduced torque and flux ripple," IEEE Transactions on Transportation Electrification, Vol. 9, No. 2, 2217-2227, Jun. 2023.
doi:10.1109/TTE.2022.3218747
25. Amiri, M., J. Milimonfared, and D. A. Khaburi, "Predictive torque control implementation for induction motors based on discrete space vector modulation," IEEE Transactions on Industrial Electronics, Vol. 65, No. 9, 6881-6889, Sept. 2018.
doi:10.1109/TIE.2018.2795589
26. Wang, Y., et al., "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
27. Yang, Y., H. Wen, M. Fan, M. Xie, and R. Chen, "Fast finite-switching-state model predictive control method without weighting factors for T-type three-level three-phase inverters," IEEE Transactions on Industrial Informatics, Vol. 15, No. 3, 1298-1310, Mar. 2019.
doi:10.1109/TII.2018.2815035
28. Park, D.-M. and K.-H. Kim, "Parameter-independent online compensation scheme for dead time and inverter nonlinearity in IPMSM drive through waveform analysis," IEEE Transactions on Industrial Electronics, Vol. 61, No. 2, 701-707, Feb. 2014.
doi:10.1109/TIE.2013.2251737
29. Leggate, D. and R. J. Kerkman, "Pulse-based dead-time compensator for PWM voltage inverters," IEEE Transactions on Industrial Electronics, Vol. 44, No. 2, 191-197, Apr. 1997.
doi:10.1109/41.564157
30. Li, X., et al., "Voltage vector rapid screening-based three-vector model predictive torque control for permanent magnet synchronous motor," Transactions of China Electrotechnical Society, Vol. 37, No. 7, 1666-1678, 2022.