Multi-Objective Optimization of Permanent Magnet Motor Based on the Stochastic Collocation Method

Authors

  • Haichuan Cao College of Marine Electrical Engineering Dalian Maritime University, Dalian 116026, China
  • Jian Xiao College of Marine Electrical Engineering Dalian Maritime University, Dalian 116026, China
  • Chengzhou Yang College of Marine Electrical Engineering Dalian Maritime University, Dalian 116026, China
  • Jingwei Zhu College of Marine Electrical Engineering Dalian Maritime University, Dalian 116026, China

DOI:

https://doi.org/10.13052/2025.ACES.J.401210

Keywords:

Design optimization, finite element method, multi-objective optimization, permanent magnet synchronous motor, stochastic collocation method, two-layer Halbach array

Abstract

In this paper, a novel multi-objective optimization method based on the stochastic collocation method (SCM) is proposed, and the effectiveness of this method is verified by finite element method (FEM) simulations on a permanent magnet synchronous motor (PMSM) with a two-layer Halbach array structure for electric vehicles (EVs). First, the proposed optimization method is introduced; then, the multi-objective optimization problem of the PMSM is defined; third, the optimization parameters are divided into two different subspaces according to their influence on the optimization objective; finally, each subspace is optimized sequentially. The FEM results show that the optimized motor has higher torque, lower torque ripple, and higher sinusoidal back-EMF.

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Author Biographies

Haichuan Cao, College of Marine Electrical Engineering Dalian Maritime University, Dalian 116026, China

Haichuan Cao was born in China and is a Ph.D. lecturer. His current research interests are permanent magnet motors, marine rim propulsion motors and related fields. His main research areas are motor structure design and optimization, motor magnetic field analysis and optimization calculation, and drive and control technology.

Jian Xiao, College of Marine Electrical Engineering Dalian Maritime University, Dalian 116026, China

Jian Xiao received the bachelor’s degree in engineering. In 2023, he graduated from Dalian Maritime University, majoring in marine electronics and electrical engineering. He is currently a graduate student in electrical engineering at Dalian Maritime University, and his main research direction is the design and optimization analysis of six-phase permanent magnet linear motors.

Chengzhou Yang, College of Marine Electrical Engineering Dalian Maritime University, Dalian 116026, China

Chengzhou Yang was born in 1996. He completed a master’s degree in Electrical Engineering at Dalian Maritime University from 2020 to 2023, with research specializing in the design and optimization of switched reluctance motors. Since 2023, he has been employed at State Grid Shandong Electric Power Company Laiwu Power Supply Company.

Jingwei Zhu, College of Marine Electrical Engineering Dalian Maritime University, Dalian 116026, China

Jingwei Zhu (Member, IEEE) received the B.S. degree in automation instrumentation engineering from Jinzhou Institute of Technology, Jinzhou, China, in 1985, the M.S. degree in electronic engineering from the Shenyang University of Technology, Shenyang, in 1990, and the Ph.D. degree in electrical engineering from Adelaide University, Adelaide, SA, Australia, in 2008. He was a Lecturer and an Associate Professor with the Jinzhou Institute of Technology, from 1985 to 1999. In 2000, he joined the Marine Electrical Engineering College, Dalian Maritime University, Dalian, where he is currently a Professor. His research interests include design and control for electrical machine systems, power electronic devices, and sustainable energy generation.

References

T. A. Huynh and M. F. Hsieh, “Performance analysis of permanent magnet motors for electric vehicles (EV) traction considering driving cycles,” Energies, vol. 11, no. 6, p. 1385, May 2018.

C. Gong, Y. Hu, J. Gao, Z. Wu, J. Liu, H. Wen, and Z. Wang, “Winding-based DC-bus capacitor discharge technique selection principles based on parametric analysis for EV-PMSM drives in post-crash conditions,” IEEE Transactions on Power Electronics, vol. 36, no. 3, pp. 3551–3562, Mar. 2021.

H. Dhulipati, S. Mukundan, Z. Li, E. Ghosh, J. Tjong, and N. C. Kar, “Torque performance enhancement in consequent pole PMSM based on magnet pole shape optimization for direct-drive EV,” IEEE Transactions on Magnetics, vol. 57, no. 2, pp. 1–7, Feb. 2021.

W. Wei, J. Zhang, J. Yao, S. Tang, and S. Zhang, “Performance analysis and optimization of power density enhanced PMSM with magnetic stripe on rotor,” Energies, vol. 13, no. 17, p. 4457, Sep. 2020.

R. Dutta, A. Pouramin, and M. F. Rahman, “A novel rotor topology for High-Performance fractional slot concentrated winding interior permanent magnet machine,” IEEE Transactions on Energy Conversion, vol. 36, no. 2, pp. 658–670, June 2021.

W. Chai, Z. Cai, B. I. Kwon, and J. W. Kwon, “Design of a novel low-cost consequent-pole permanent magnet synchronous machine,” IEEE Access, vol. 8, pp. 194251–194259, 2020.

H. Sato and H. Igarashi, “Automatic design of PM motor using Monte Carlo tree search in conjunction with topology optimization,” IEEE Transactions on Magnetics, vol. 58, no. 9, pp. 1–4, Sep. 2022.

J. Wu, X. Zhu, D. Fan, Z. Xiang, L. Xu, and L. Quan, “Robust optimization design for permanent magnet machine considering magnet material uncertainties,” IEEE Transactions on Magnetics, vol. 58, no. 2, pp. 1–7, Feb. 2022.

L. Xu, W. Wu, and W. Zhao, “Airgap magnetic field harmonic synergetic optimization approach for power factor improvement of PM vernier machines,” IEEE Transactions on Industrial Electronics, vol. 69, no. 12, pp. 12281–12291, Dec. 2022.

J. Bai, L. Wang, D. Wang, A. P. Duffy, and G. Zhang, “Validity evaluation of the uncertain EMC simulation results,” IEEE Transactions on Electromagnetic Compatibility, vol. 59, no. 3, pp. 797–804, June 2017.

M. Naseh, S. Hasanzadeh, S. M. Dehghan, H. Rezaei, and A. S. Al-Sumaiti, “Optimized design of rotor barriers in PM-assisted synchronous reluctance machines with Taguchi method,” IEEE Access, vol. 10, pp. 38165–38173, 2022.

J. Bai, G. Zhang, A. P. Duffy, and L. Wang, “Dimension-reduced sparse grid strategy for a stochastic collocation method in EMC software,” IEEE Transactions on Electromagnetic Compatibility, vol. 60, no. 1, pp. 218–224, Feb. 2018.

J. Bai, K. Gou, J. Sun, and N. Wang, “Application of the multi-element grid in EMC uncertainty simulation,” Appl. Comput. Electromagn. Soc. J., vol. 37, no. 4, pp. 428–434, Apr. 2022.

Y. M. You, “Optimal design of PMSM based on automated finite element analysis and metamodeling,” Energies, vol. 12, no. 24, p. 4673, Dec. 2019.

D. Xiu and G. Karniadakis, “The Wiener-Askey polynomial chaos for stochastic differential equations,” SIAM Journal on Scientific Computing, vol. 24, no. 2, pp. 619–644, Oct. 2002.

B. Kou, H. Cao, W. Li, and X. Zhang, “Analytical analysis of a novel double layer Halbach permanent magnet array,” Transactions of China Electrotechnical Society, vol. 30, no. 10, pp. -76, 2015.

J. Morio, “Global and local sensitivity analysis methods for a physical system,” European Journal of Physics, vol. 32, no. 6, pp. 1577–1583, Nov. 2011.

W. Yan, H. Chen, H. Liu, X. Ma, Z. Lv, X. Wang, R. Palka, L. Chen, and K. Wang “Design and multi-objective optimization of switched reluctance machine with iron loss,” IET Electr. Power Appl., vol. 13, no. 4, pp. 435–444, Apr. 2019.

X. Niu, S. Liu, and R. Qiu, “Efficient electromagnetic compatibility optimization design based on the stochastic collocation method,” Appl. Comput. Electromagn. Soc. J., vol. 39, no. 6, pp. 533–541, June 2024.

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Published

2025-12-30

How to Cite

[1]
H. Cao, J. . Xiao, C. . Yang, and J. . Zhu, “Multi-Objective Optimization of Permanent Magnet Motor Based on the Stochastic Collocation Method”, ACES Journal, vol. 40, no. 12, pp. 1226–1235, Dec. 2025.