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

Zichao Jin, Yue Cao, Shuwang Li, Wenjun Ying and Mahesh Krishnamurthy ()
Additional contact information
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

Energies, 2023, vol. 16, issue 14, 1-16

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.

Keywords: boundary integral method; magnetostatic analysis; sharp corner reconstruction; inverse discrete Fourier transform; iDFT; inductor design (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/1996-1073/16/14/5420/pdf (application/pdf)
https://www.mdpi.com/1996-1073/16/14/5420/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:16:y:2023:i:14:p:5420-:d:1195683

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().