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Analytical Approach for Sharp Corner Reconstruction in the Kernel Free Boundary Integral Method during Magnetostatic Analysis for Inductor Design

Author

Listed:
  • Zichao Jin

    (Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL 60616, USA)

  • Yue Cao

    (Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USA)

  • Shuwang Li

    (Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USA)

  • Wenjun Ying

    (Institute of Natural Sciences and School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China)

  • Mahesh Krishnamurthy

    (Department of Electrical and Computer Engineering, Illinois Institute of Technology, Chicago, IL 60616, USA)

Abstract

It is very important to perform magnetostatic analysis accurately and efficiently when it comes to multi-objective optimization of designs of electromagnetic devices, particularly for inductors, transformers, and electric motors. A kernel free boundary integral method (KFBIM) was studied for analyzing 2D magnetostatic problems. Although KFBIM is accurate and computationally efficient, sharp corners can be a major problem for KFBIM. In this paper, an inverse discrete Fourier transform (DFT) based geometry reconstruction is explored to overcome this challenge for smoothening sharp corners. A toroidal inductor core with an airgap (C-core) is used to show the effectiveness of the proposed approach for addressing the sharp corner problem. A numerical example demonstrates that the method works for the variable coefficient PDE. In addition, magnetostatic analysis for homogeneous and nonhomogeneous material is presented for the reconstructed geometry, and results carried out using KFBIM are compared with the results of FEM analysis for the original geometry to show the differences and the potential of the proposed method.

Suggested Citation

  • Zichao Jin & Yue Cao & Shuwang Li & Wenjun Ying & Mahesh Krishnamurthy, 2023. "Analytical Approach for Sharp Corner Reconstruction in the Kernel Free Boundary Integral Method during Magnetostatic Analysis for Inductor Design," Energies, MDPI, vol. 16(14), pages 1-16, July.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:14:p:5420-:d:1195683
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    References listed on IDEAS

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    1. Sadeeshvara Udayanga Silva Thotabaddadurage & Nihal Kularatna & D. Alistair Steyn-Ross, 2021. "Optimization of Supercapacitor Assisted Surge Absorber (SCASA) Technique: A New Approach to Improve Surge Endurance Using Air-Gapped Ferrite Cores," Energies, MDPI, vol. 14(14), pages 1-21, July.
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    Cited by:

    1. Sami Barmada & Paolo Di Barba & Nunzia Fontana & Maria Evelina Mognaschi & Mauro Tucci, 2024. "A Source Identification Problem in Magnetics Solved by Means of Deep Learning Methods," Mathematics, MDPI, vol. 12(6), pages 1-14, March.

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