CJEE

Chinese Journal of Electrical Engineering ›› 2023, Vol. 9 ›› Issue (4): 41-53.doi: 10.23919/CJEE.2023.000028

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Vibration Reduction and Torque Improvement of Integral-slot SPM Machines Using PM Harmonic Injection*

Jinghua Ji, Deyou Liu, Yu Zeng, Tong Liu, Wenxiang Zhao*   

  1. School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, China
  • Received:2023-01-13 Revised:2023-02-23 Accepted:2023-03-11 Published:2024-01-08
  • Contact: *E-mail: zwx@ujs.edu.cn
  • About author:Jinghua Ji received the B.Sc., M.Sc., and Ph.D. degrees in Electrical Engineering from Jiangsu University, Zhenjiang, China, in 2000, 2003, and 2009, respectively.
    Since 2000, she has been with the School of Electrical and Information Engineering, Jiangsu University, where she is currently a Professor. From 2013 to 2014, she was a Visiting Scholar with the Department of Electronic and Electrical Engineering at the University of Sheffield, Sheffield, UK. She has authored and coauthored over 50 technical papers in these areas. Her research interests include electrical machines and motor drives.
    Deyou Liu received the B.Sc. degree in Electrical Engineering from Jiangsu University, Zhenjiang, China, in 2020. He is currently working toward the M.Sc. degree in Electrical Engineering at Jiangsu University.
    His current research interests include optimized design and analysis of PMSM system.
    Yu Zeng received the B.Sc. and M.Sc. degrees in Electrical Engineering from Jiangsu University, Zhenjiang, China, in 2014 and 2017, respectively, and the Ph.D. degree in Electrical Engineering from Southeast University, Nanjing, China, in 2021.
    Since 2022, he has been with Jiangsu University, where he is currently a Lecturer with the School of Electrical and Information Engineering. His research interests include the design and analysis of permanent magnet synchronous machines and brushless doubly-fed machines.
    Tong Liu received the B.Sc. degree in Electrical Engineering from Jiangsu University, Zhenjiang, China, in 2018. He is currently working toward the Ph. D. degree in Electrical Engineering at Jiangsu University.
    His current research interests include modeling and calculation of the electromagnetic force, vibration, and acoustic noise of PMSM systems.
    Wenxiang Zhao (M'08-SM'14) received the B.Sc. and M.Sc. degrees in Electrical Engineering from Jiangsu University, Zhenjiang, China, in 1999 and 2003, respectively, and the Ph.D. degree in Electrical Engineering from Southeast University, Nanjing, China, in 2010.
    He has been with Jiangsu University since 2003, where he is currently a Professor with the School of Electrical and Information Engineering. From 2008 to 2009, he was a Research Assistant with the Department of Electrical and Electronic Engineering, University of Hong Kong, Hong Kong, China. From 2013 to 2014, he was a Visiting Professor with the Department of Electronic and Electrical Engineering at the University of Sheffield, Sheffield, UK. He has authored and coauthored over 150 papers published in IEEE Transactions. His current research interests include electric machine design, modeling, fault analysis, and intelligent control.
  • Supported by:
    * National Natural Science Foundation of China (52025073).

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Abstract: This study aimed to improve the vibration and torque of an integral-slot surface-mounted permanent magnet (SPM) machine by optimizing the shape of the harmonically injected permanent magnet (PM). First, the effect of the third harmonic injected into the sinusoidal PM shape on the electromagnetic performance of a 36-slot/12-pole SPM machine was investigated, including the torque performance and vibration response. It was found that the Sin+3rd harmonic-shaped PM had a contrary effect on the torque and vibration performance of the integral-slot machine, which improved the torque capability but worsened the vibration performance. Second, the response surface model and Barebones multi-objective particle swarm optimization algorithm based on a trade-off between the average torque and vibration were implemented to determine the optimal harmonic injection. Subsequently, the performances of the optimal Sin+3rd-shaped and eccentric PM machines were compared, showing the excellent torque and vibration performance of the adopted method. Finally, a prototype was manufactured and tested to verify the results of the theoretical analysis.

Key words: Integral-slot, surface-mounted permanent magnet machine, multi-objective optimization, third harmonic, torque, vibration