A Kernel-Free Boundary Integral Method for 2-D Magnetostatics Analysis

Jin, Zichao; Cao, Yue; Li, Shuwang; Ying, Wenjun; Krishnamurthy, Mahesh

doi:10.1109/tmag.2023.3247444

Cited by 1 publication

(4 citation statements)

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“…The KFBIM framework is implemented for the C-core magnetostatics problem shown in the next section to study the sharp corner reconstruction method. Similar work has been performed for a toroidal core magnetostatics problem with double boundaries [15]. In this paper, the presented formulation is extended from the method developed in recent years [16] and is reformulated for the single boundary magnetostatics problem.…”

Section: Kfbim Framework For Single Boundary Magnetostatic Problemsmentioning

confidence: 93%

“…A new boundary integral method named the Kernel Free Boundary Integral Method (KFBIM) was recently developed and introduced in electromagnetics [15]. The uniqueness of the KFBIM method is that special quadrature, or kernels, are not needed for the evaluation of integrals directly.…”

Section: Introductionmentioning

confidence: 99%

“…Problems with smooth boundaries in electromagnetics in two-dimensions are well understood. It was found that they can be solved by the boundary integral method accurately and efficiently [6][7][8]15]. However, sharp corners can be a problem for integral method analysis-the derivation of integral methods assumes that domain boundaries are smooth in general.…”

Section: Introductionmentioning

confidence: 99%

“…Most magnetic flux enclosed in the toroidal core leads to higher inductance [28]. Due to the advantages of toroidal transformers and inductorssuch as higher efficiency and inductance, lower flux leakage and lighter weight, they are often used in the following applications: amplifiers, inverters, and power supplies [15]. They are widely used in high power low-frequency power electronics applications.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Jin

Cao

et al. 2023

Energies

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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.

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Section: Kfbim Framework For Single Boundary Magnetostatic Problemsmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%