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2026-05-06
Analysis and Optimal Design of a Novel Permanent Magnet Fault-Tolerant Vernier Rim-Driven Motor with Inclined Modulation Tooth
By
Progress In Electromagnetics Research C, Vol. 170, 49-56, 2026
Abstract
To address the trade-off between torque density and power factor in conventional permanent magnet vernier rim-driven motors under material cost constraints, this study proposes a novel permanent magnet fault-tolerant vernier rim-driven motor with an inclined modulation tooth (PMFTVRDM-IMT). Unlike the conventional straight-tooth configuration, the proposed design introduces an inclination angle to the modulation teeth, thereby altering the air-gap permeance distribution pathway while preserving both the permanent magnet volume and overall motor envelope. Through magnetic field harmonic analysis, the underlying mechanism for the synchronous improvement in the torque and power factor was revealed: the inclined modulation tooth structure enhances the effective working harmonics while suppressing the ineffective harmonic components. To further optimize the motor performance, a combined approach of single-parameter scanning and multi-objective optimization was adopted, and the resulting performance metrics, such as the output torque and power factor, were systematically validated using the finite element analysis (FEA). The results indicate that, with modifications only to the modulation tooth structure, the proposed motor design achieves an approximately 15% improvement in the power factor and a 2.5% increase in the torque density, thereby substantiating the feasibility and engineering value of the inclined modulation-tooth topology in mitigating the low power factor issue inherent to vernier machines.
Citation
Defeng Zhao, Jingwei Zhu, Yaqian Cai, and Anni Wang, "Analysis and Optimal Design of a Novel Permanent Magnet Fault-Tolerant Vernier Rim-Driven Motor with Inclined Modulation Tooth," Progress In Electromagnetics Research C, Vol. 170, 49-56, 2026.
doi:10.2528/PIERC26032105
References

1. Zang, Kun, Jingwei Zhu, Haibo Liao, and Yaqian Cai, "Performance comparison of fault-tolerant permanent magnet vernier rim-driven machines with different winding distributions," Journal of Power Electronics, Vol. 26, No. 3, 684-695, 2026.
doi:10.1007/s43236-025-01100-7        Google Scholar

2. Liang, Ziyi, Xiang Ren, Dawei Li, Ronghai Qu, and Xun Han, "Analysis of a spoke-array brushless dual-electrical-port dual-mechanical-port machine with reluctance rotor," IEEE Transactions on Industrial Electronics, Vol. 68, No. 4, 2999-3011, 2021.
doi:10.1109/tie.2020.2982084        Google Scholar

3. Yanamoto, Toshiyuki, Mitsuru Izumi, Minoru Yokoyama, and Katsuya Umemoto, "Electric propulsion motor development for commercial ships in Japan," Proceedings of the IEEE, Vol. 103, No. 12, 2333-2343, 2015.
doi:10.1109/jproc.2015.2495134        Google Scholar

4. Zhao, Haisen, Hassan H. Eldeeb, Yang Zhan, Ziyan Ren, Guorui Xu, and Osama A. Mohammed, "Robust electromagnetic design of double-canned IM for submergible rim driven thrusters to reduce losses and vibration," IEEE Transactions on Energy Conversion, Vol. 35, No. 4, 2045-2055, 2020.
doi:10.1109/tec.2020.3008415        Google Scholar

5. Ojaghlu, Pourya and Abolfazl Vahedi, "Specification and design of ring winding axial flux motor for rim-driven thruster of ship electric propulsion," IEEE Transactions on Vehicular Technology, Vol. 68, No. 2, 1318-1326, 2019.
doi:10.1109/tvt.2018.2888841        Google Scholar

6. Cheng, Bo, Guang Pan, and Yali Cao, "Analytical design of the integrated motor used in a hubless rim-driven propulsor," IET Electric Power Applications, Vol. 13, No. 9, 1255-1262, 2019.
doi:10.1049/iet-epa.2018.5303        Google Scholar

7. Cai, Yaqian, Jingwei Zhu, Kun Zang, and Haibo Liao, "Design and performance analysis of a novel flux-concentrating fault tolerant permanent magnet vernier machine for rim driven thruster," Journal of Power Electronics, Vol. 25, No. 5, 849-858, 2025.
doi:10.1007/s43236-024-00937-8        Google Scholar

8. Wang, Zhe, Jingwei Zhu, Wangsong He, Jiubo Yue, and Tianrui Zhao, "Analysis and optimization of fault tolerant permanent magnet vernier rim driven machine based on the continuous variable magnetic network model," Journal of Electrical Engineering & Technology, Vol. 19, No. 5, 3233-3246, 2024.
doi:10.1007/s42835-024-01789-9        Google Scholar

9. Qiao, Tianhuai, Jingwei Zhu, and Xiaoyi Wang, "Design and optimization of a flux-modulated fault-tolerant permanent magnet rim-driven machine with combined stator to improve torque density," IEEE Transactions on Energy Conversion, Vol. 38, No. 1, 75-88, 2023.
doi:10.1109/tec.2022.3210266        Google Scholar

10. Fang, Li, Dawei Li, Xiang Ren, and Ronghai Qu, "A novel permanent magnet vernier machine with coding-shaped tooth," IEEE Transactions on Industrial Electronics, Vol. 69, No. 6, 6058-6068, 2022.
doi:10.1109/tie.2021.3088331        Google Scholar

11. Wang, Rongxin, Bo Wang, Dewen Tian, Haiwei Cai, Ming Cheng, and Wei Hua, "Slot-pole combination analysis of FSCW-PMVM on magnetic field modulation performance," IEEE Transactions on Transportation Electrification, Vol. 11, No. 2, 5665-5675, 2025.
doi:10.1109/tte.2024.3487869        Google Scholar

12. Zou, Tianjie, Dawei Li, Ronghai Qu, Dong Jiang, and Jian Li, "Advanced high torque density PM vernier machine with multiple working harmonics," IEEE Transactions on Industry Applications, Vol. 53, No. 6, 5295-5304, 2017.
doi:10.1109/tia.2017.2724505        Google Scholar

13. Liu, Wenbo and Thomas A. Lipo, "Analysis of consequent pole spoke type vernier permanent magnet machine with alternating flux barrier design," IEEE Transactions on Industry Applications, Vol. 54, No. 6, 5918-5929, 2018.
doi:10.1109/tia.2018.2856579        Google Scholar

14. Gao, Yuting, Ronghai Qu, Dawei Li, Jian Li, and Guopeng Zhou, "Consequent-pole flux-reversal permanent-magnet machine for electric vehicle propulsion," IEEE Transactions on Applied Superconductivity, Vol. 26, No. 4, 1-5, 2016.
doi:10.1109/tasc.2016.2514345        Google Scholar

15. Du, Kangkang, Liang Xu, Wenxiang Zhao, and Guohai Liu, "Analysis and design of a fault-tolerant permanent magnet vernier machine with improved power factor," IEEE Transactions on Industrial Electronics, Vol. 69, No. 5, 4353-4363, 2022.
doi:10.1109/tie.2021.3080206        Google Scholar

16. Liu, Yue, H. Y. Li, and Z. Q. Zhu, "A high-power factor vernier machine with coil pitch of two slot pitches," IEEE Transactions on Magnetics, Vol. 54, No. 11, 1-5, 2018.
doi:10.1109/tmag.2018.2839976        Google Scholar

17. Zhao, Yu, Dawei Li, Ziyi Liang, and Ronghai Qu, "A high power factor PM vernier machine with segmented stator," IEEE Transactions on Transportation Electrification, Vol. 10, No. 4, 9294-9303, 2024.
doi:10.1109/tte.2024.3353925        Google Scholar

18. Zhao, Yu, Xiang Ren, Xinggang Fan, Dawei Li, and Ronghai Qu, "A high power factor permanent magnet vernier machine with modular stator and yokeless rotor," IEEE Transactions on Industrial Electronics, Vol. 70, No. 7, 7141-7152, 2023.
doi:10.1109/tie.2022.3199863        Google Scholar

19. Zhao, Yu, Dawei Li, Xiang Ren, Ziyi Liang, and Ronghai Qu, "Low pole-pair ratio integration design of permanent magnet vernier machine with improved power factor," IEEE Transactions on Industrial Electronics, Vol. 71, No. 3, 2820-2830, 2024.
doi:10.1109/tie.2023.3265037        Google Scholar

20. Citroni, Rocco, Fabio Mangini, and Fabrizio Frezza, "Efficient integration of ultra-low power techniques and energy harvesting in self-sufficient devices: A comprehensive overview of current progress and future directions," Sensors, Vol. 24, No. 14, 4471, 2024.
doi:10.3390/s24144471        Google Scholar