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2026-08-28
A Hybrid-Magnet Rotor Topology for Demagnetization-Resistant PMaSynRMs Using Kriging-NSGA-III Optimization
By
Progress In Electromagnetics Research C, Vol. 173, 41-52, 2026
Abstract
Conventional ferrite-based permanent magnet-assisted synchronous reluctance motors (PMaSynRMs) suffer from low torque density and are vulnerable to irreversible demagnetization under heavy-load conditions due to the reverse armature field. To address this, this paper proposes a hybrid-magnet rotor topology in which ferrite and NdFeB magnets are arranged in series along the flux path within each U-type flux barrier (NdFeB on the airgap side, ferrite on the inner side), while the three radially layered U-type branches are connected magnetically in parallel. Within each barrier, the magnetomotive forces of the two magnet types superpose to enhance the excitation flux; meanwhile, a dual synergistic mechanism - outer NdFeB shielding and flux shunting via parallel rotor bridges - suppresses the demagnetizing field. To tackle the 15-dimensional optimization problem, a Kriging-NSGA-III framework incorporating Pearson sensitivity screening is established. Finite-element results show that, compared to the benchmark all-ferrite machine, the optimized motor achieves a 20.78% increase in average torque, torque ripple reduction from 18.80% to 8.07%, and 89.49% efficiency. The benchmark exhibits local irreversible demagnetization at 3 times rated d-axis current, whereas the proposed topology shows no observable demagnetization even at 6 times rated current, validating the effectiveness of the proposed hybrid topology and optimization strategy.
Citation
Fangrong Wang, Wen Kuang, and Chaozhi Huang, "A Hybrid-Magnet Rotor Topology for Demagnetization-Resistant PMaSynRMs Using Kriging-NSGA-III Optimization," Progress In Electromagnetics Research C, Vol. 173, 41-52, 2026.
doi:10.2528/PIERC26072401
References

1. Ajamloo, Akbar Mohammadi, Aghil Ghaheri, Mohamed N. Ibrahim, and Peter Sergeant, "A new hybrid permanent magnet-assisted synchronous reluctance motor with efficient utilization of rare-earth permanent magnets," IEEE Transactions on Energy Conversion, Vol. 40, No. 2, 1325-1338, 2025.
doi:10.1109/tec.2024.3486933        Google Scholar

2. Huang, Na, Keda Wang, Wanning Li, Hao Mu, Zhengyu He, and Guanghui Du, "Comprehensive comparison of ferrite-assisted synchronous reluctance motors for five rotor structures," IEEE Transactions on Industrial Electronics, Vol. 73, No. 8, 12055-12067, 2026.
doi:10.1109/tie.2026.3670273        Google Scholar

3. Creux, Jérémy, Najla Haje Obeid, Thierry Boileau, and Farid Meibody-Tabar, "PMASynRM local demagnetization fault detection using targeted harmonic excitation," IEEE Transactions on Industry Applications, Vol. 61, No. 3, 5026-5034, 2025.
doi:10.1109/tia.2025.3540805        Google Scholar

4. Chen, Wutao, Yawei Wang, Xinhua Liu, Yu Shi, Yiru Zhao, and Ronghai Qu, "Comparative study of hybrid PM assisted synchronous reluctance machines with different configurations," IEEE Transactions on Industry Applications, Vol. 61, No. 6, 9269-9280, 2025.
doi:10.1109/tia.2025.3569508        Google Scholar

5. Ma, Qingqing, Ayman El-Refaie, and Bruno Lequesne, "Low-cost interior permanent magnet machine with multiple magnet types," IEEE Transactions on Industry Applications, Vol. 56, No. 2, 1452-1463, 2020.
doi:10.1109/tia.2020.2966458        Google Scholar

6. Liu, Dabin, Hui Yang, Yunrui Huang, Rui Tu, Xing Liu, Yuming Yi, Xiping Liu, and Heyun Lin, "A novel hybrid-variable-flux permanent magnet machine," IEEE Transactions on Transportation Electrification, Vol. 11, No. 1, 4957-4967, 2025.
doi:10.1109/tte.2024.3471692        Google Scholar

7. Zhu, Xiaoyong, Sipeng Li, Shiyue Zheng, Li Quan, Deyang Fan, Xianxian Zeng, and Christopher H. T. Lee, "Torque component redistribution and enhancement for hybrid permanent magnet motor with permanent magnet offset placement," IEEE Transactions on Transportation Electrification, Vol. 9, No. 1, 631-641, 2023.
doi:10.1109/tte.2022.3177745        Google Scholar

8. Tu, Rui, Hui Yang, Yixian Wang, Heyun Lin, and Yiming Shen, "Design and analysis of a novel asymmetric-hybrid-pole variable flux memory machine," IEEE Transactions on Industrial Electronics, Vol. 72, No. 5, 5234-5245, 2025.
doi:10.1109/tie.2024.3485713        Google Scholar

9. Yang, Hui, Shukang Lyu, Heyun Lin, Zi-qiang Zhu, Hao Zheng, and Tiangang Wang, "A novel hybrid-magnetic-circuit variable flux memory machine," IEEE Transactions on Industrial Electronics, Vol. 67, No. 7, 5258-5268, 2020.
doi:10.1109/tie.2019.2931494        Google Scholar

10. Jeong, Chae-Lim and Jin Hur, "Optimization design of PMSM with hybrid-type permanent magnet considering irreversible demagnetization," IEEE Transactions on Magnetics, Vol. 53, No. 11, 1-4, 2017.
doi:10.1109/tmag.2017.2707102        Google Scholar

11. Islam, Md. Zakirul, Akm Arafat, Sai Sudheer Reddy Bonthu, and Seungdeog Choi, "Design of a robust five-phase ferrite-assisted synchronous reluctance motor with low demagnetization and mechanical deformation," IEEE Transactions on Energy Conversion, Vol. 34, No. 2, 722-730, 2019.
doi:10.1109/tec.2018.2882780        Google Scholar

12. Huynh, Thanh Anh, Jun-Xian Peng, Min-Fu Hsieh, and Po-Wei Huang, "Anti-demagnetization analysis of fractional slot concentrated windings interior permanent magnet motor considering effect of rotor design parameters," IEEE Transactions on Magnetics, Vol. 58, No. 2, 1-6, 2022.
doi:10.1109/tmag.2021.3090319        Google Scholar

13. Kazemisangdehi, Seyedmilad, Zi Qiang Zhu, Yanjian Zhou, Liang Chen, and Lei Yang, "Series hybrid rare-earth and ferrite magnets delta-shape IPMSM with split ferrite spoke," IEEE Transactions on Industry Applications, Vol. 61, No. 6, 9095-9106, 2025.
doi:10.1109/tia.2025.3574001        Google Scholar

14. Qu, B. Y., Y. S. Zhu, Y. C. Jiao, M. Y. Wu, P. N. Suganthan, and J. J. Liang, "A survey on multi-objective evolutionary algorithms for the solution of the environmental/economic dispatch problems," Swarm and Evolutionary Computation, Vol. 38, 1-11, 2018.
doi:10.1016/j.swevo.2017.06.002        Google Scholar

15. Jain, Himanshu and Kalyanmoy Deb, "An evolutionary many-objective optimization algorithm using reference-point based nondominated sorting approach, part II: Handling constraints and extending to an adaptive approach," IEEE Transactions on Evolutionary Computation, Vol. 18, No. 4, 602-622, 2014.
doi:10.1109/tevc.2013.2281534        Google Scholar

16. Tan, Shenglian, Yong Wang, Guangyong Sun, and Tong Pang, "A surrogate-assisted high-dimensional mixed-variable evolutionary framework and its application to vehicle lightweighting design," IEEE Transactions on Evolutionary Computation, Vol. 30, No. 2, 836-850, 2026.
doi:10.1109/tevc.2025.3573768        Google Scholar

17. Chen, Weichao, Ziyang Li, Yu Xue, and Yonglin Pu, "Surrogate-assisted evolutionary multi-objective optimization grouped by significant influence for high-dimensional problems," IEEE Transactions on Emerging Topics in Computational Intelligence, Vol. 10, No. 2, 1959-1973, Apr. 2026.
doi:10.1109/tetci.2026.3657944        Google Scholar

18. Li, Hui, Kalyanmoy Deb, Qingfu Zhang, P. N. Suganthan, and Lei Chen, "Comparison between MOEA/D and NSGA-III on a set of novel many and multi-objective benchmark problems with challenging difficulties," Swarm and Evolutionary Computation, Vol. 46, 104-117, 2019.
doi:10.1016/j.swevo.2019.02.003        Google Scholar

19. Rossmann, Johannes, Maarten J. Kamper, and Christoph M. Hackl, "A global multi-objective bayesian optimization framework for generic machine design using Gaussian process regression," IEEE Transactions on Energy Conversion, Vol. 40, No. 3, 2384-2398, 2025.
doi:10.1109/tec.2025.3544330        Google Scholar

20. Im, So-Yeon, Soo-Gyung Lee, Dong-Min Kim, Gu Xu, Sun-Yong Shin, and Myung-Seop Lim, "Kriging surrogate model-based design of an ultra-high-speed surface-mounted permanent-magnet synchronous motor considering stator iron loss and rotor eddy current loss," IEEE Transactions on Magnetics, Vol. 58, No. 2, 1-5, 2022.
doi:10.1109/tmag.2021.3080119        Google Scholar

21. Li, Min, Fabien Gabriel, Maria Alkadri, and David A. Lowther, "Kriging-assisted multi-objective design of permanent magnet motor for position sensorless control," IEEE Transactions on Magnetics, Vol. 52, No. 3, 1-4, 2016.
doi:10.1109/tmag.2015.2491301        Google Scholar

22. Sun, Xiaodong, Zhou Shi, Gang Lei, Youguang Guo, and Jianguo Zhu, "Multi-objective design optimization of an IPMSM based on multilevel strategy," IEEE Transactions on Industrial Electronics, Vol. 68, No. 1, 139-148, 2021.
doi:10.1109/tie.2020.2965463        Google Scholar

23. Sun, Xiaodong, Naixi Xu, and Ming Yao, "Sequential subspace optimization design of a dual three-phase permanent magnet synchronous hub motor based on NSGA III," IEEE Transactions on Transportation Electrification, Vol. 9, No. 1, 622-630, 2023.
doi:10.1109/tte.2022.3190536        Google Scholar

24. Huang, Chaozhi, Fangrong Wang, Wen Kuang, Junxin Xu, and Aikang Xu, "Optimisation of a permanent magnet-assisted synchronous reluctance motor with hybrid magnets and segmented air-gap rotor using the A-NSGA-III algorithm," COMPEL, 1-20, 2026.
doi:10.1108/compel-03-2026-0165        Google Scholar

25. Huang, Chaozhi, Fangrong Wang, Wen Kuang, and Long Chen, "Torque enhancement of ferrite PM-assisted synchronous reluctance motor with asymmetric flux barriers based on flux linkage phase shift," Progress In Electromagnetics Research C, Vol. 172, 206-214, 2026.
doi:10.2528/pierc26060905        Google Scholar

26. Mohammadi, Ali and Seyyed Mehdi Mirimani, "Design of a novel PM-assisted synchronous reluctance motor topology using V-shape permanent magnets for improvement of torque characteristic," IEEE Transactions on Energy Conversion, Vol. 37, No. 1, 424-432, 2022.
doi:10.1109/tec.2021.3109079        Google Scholar

27. Wang, Ziyu, Xiaolin Wang, and Xucong Bao, "A PM dimensions design method for hybrid less rare-earth permanent magnet motors based on analytical approach," IEEE Transactions on Transportation Electrification, Vol. 11, No. 2, 6512-6524, 2025.
doi:10.1109/tte.2024.3510615        Google Scholar

28. Kong, Yong, Mingyao Lin, Ming Yin, and Li Hao, "Rotor structure on reducing demagnetization of magnet and torque ripple in a PMa-synRM with ferrite permanent magnet," IEEE Transactions on Magnetics, Vol. 54, No. 11, 1-5, 2018.
doi:10.1109/tmag.2018.2827104        Google Scholar

29. Gao, Qixing, Xiaolin Wang, Zhiquan Deng, and Yan Zhang, "Loss calculation, analysis, and separation method of 550 000 r/min ultrahigh-speed permanent magnet motor," IEEE Transactions on Industrial Electronics, Vol. 70, No. 4, 3471-3481, 2023.
doi:10.1109/tie.2022.3177816        Google Scholar

30. Shin, Pan Seok, Sung Hyun Woo, and Chang Seop Koh, "An optimal design of large scale permanent magnet pole shape using adaptive response surface method with latin hypercube sampling strategy," IEEE Transactions on Magnetics, Vol. 45, No. 3, 1214-1217, 2009.
doi:10.1109/tmag.2009.2012565        Google Scholar

31. Ruoho, Sami, Emad Dlala, and Antero Arkkio, "Comparison of demagnetization models for finite-element analysis of permanent-magnet synchronous machines," IEEE Transactions on Magnetics, Vol. 43, No. 11, 3964-3968, 2007.
doi:10.1109/tmag.2007.906749        Google Scholar

32. Ruoho, Sami and Antero Arkkio, "Partial demagnetization of permanent magnets in electrical machines caused by an inclined field," IEEE Transactions on Magnetics, Vol. 44, No. 7, 1773-1778, 2008.
doi:10.1109/tmag.2008.921951        Google Scholar

33. Vagati, Alfredo, Barbara Boazzo, Paolo Guglielmi, and Gianmario Pellegrino, "Design of ferrite-assisted synchronous reluctance machines robust toward demagnetization," IEEE Transactions on Industry Applications, Vol. 50, No. 3, 1768-1779, 2014.
doi:10.1109/tia.2013.2284302        Google Scholar