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A Novel 3-D Analytical Modeling Method of Trapezoidal Shape Permanent Magnet Halbach Array for Multi-objective Optimization

  • Jiaheng Duan
  • Song XiaoEmail author
  • Kunlun Zhang
  • Yongzhi Jing
Original Article

Abstract

In this paper, a novel three-dimension magnetic flux density analytical model of linear permanent magnet (PM) Halbach arrays with trapezoidal shape PMs, is established based on the theory of magnetic charge. The proposed analytical model is numerically efficient and can be utilized to evaluate the effects on motor performance caused by varying their configurations. Furthermore, the configurations of PMs for both single and double-sided structures are optimized exploiting a surrogate model assisted by a multi-objective optimization algorithm, where the surrogated model is constructed by the kriging method with expected improvement utility function. The validity and accuracy of this proposed analytical model is verified via finite element modeling, the optimization results with different schemes of weight distribution show the further improvement of magnetic flux density distribution.

Keywords

Analytical method Halbach array Kriging surrogate model Permanent magnet 

Notes

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant no. 51707166).

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Copyright information

© The Korean Institute of Electrical Engineers 2019

Authors and Affiliations

  • Jiaheng Duan
    • 1
  • Song Xiao
    • 1
    Email author
  • Kunlun Zhang
    • 1
    • 2
  • Yongzhi Jing
    • 1
    • 2
  1. 1.School of Electrical EngineeringSouthwest Jiaotong UniversityChengduChina
  2. 2.Key Laboratory of Magnetic Suspension Technology and Maglev VehicleMinistry of EducationChengduChina

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