A coupling scheme of analytical method and FEM for analysis of magnetic field by singular line currents

Young Sun Kim; Hong Soon Choi; Il Han Park; Ki Sik Lee

doi:10.1109/TMAG.2007.915990

A coupling scheme of analytical method and FEM for analysis of magnetic field by singular line currents

Young Sun Kim, Hong Soon Choi, Il Han Park, Ki Sik Lee

Department of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

This paper proposes a coupling method involving the finite element (FE) equation of a discretized region and an analytical equation along with the field singularity of line currents in two-dimensional space. The singular field in the interior region is represented by Green's function of the line source, and the exterior region of air, conductor, or ferromagnetic material is represented by using the finite element method (FEM). An analytical expression for a magnetic field that contains unknown coefficients is coupled with the FE formulation for a coupled system equation with a matrix form. A numerical experiment relating to a line current near a ferromagnetic material shows the validity of this coupling method.

Original language	English
Article number	4526915
Pages (from-to)	1290-1293
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	44
Issue number	6
DOIs	https://doi.org/10.1109/TMAG.2007.915990
State	Published - Jun 2008

Keywords

Analytical solution
Coupling scheme
Finite element method (FEM)
Fourier series expansion
Singular line current

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10.1109/TMAG.2007.915990

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title = "A coupling scheme of analytical method and FEM for analysis of magnetic field by singular line currents",

abstract = "This paper proposes a coupling method involving the finite element (FE) equation of a discretized region and an analytical equation along with the field singularity of line currents in two-dimensional space. The singular field in the interior region is represented by Green's function of the line source, and the exterior region of air, conductor, or ferromagnetic material is represented by using the finite element method (FEM). An analytical expression for a magnetic field that contains unknown coefficients is coupled with the FE formulation for a coupled system equation with a matrix form. A numerical experiment relating to a line current near a ferromagnetic material shows the validity of this coupling method.",

keywords = "Analytical solution, Coupling scheme, Finite element method (FEM), Fourier series expansion, Singular line current",

author = "Kim, {Young Sun} and Choi, {Hong Soon} and Park, {Il Han} and Lee, {Ki Sik}",

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AU - Kim, Young Sun

AU - Choi, Hong Soon

AU - Park, Il Han

AU - Lee, Ki Sik

PY - 2008/6

Y1 - 2008/6

N2 - This paper proposes a coupling method involving the finite element (FE) equation of a discretized region and an analytical equation along with the field singularity of line currents in two-dimensional space. The singular field in the interior region is represented by Green's function of the line source, and the exterior region of air, conductor, or ferromagnetic material is represented by using the finite element method (FEM). An analytical expression for a magnetic field that contains unknown coefficients is coupled with the FE formulation for a coupled system equation with a matrix form. A numerical experiment relating to a line current near a ferromagnetic material shows the validity of this coupling method.

AB - This paper proposes a coupling method involving the finite element (FE) equation of a discretized region and an analytical equation along with the field singularity of line currents in two-dimensional space. The singular field in the interior region is represented by Green's function of the line source, and the exterior region of air, conductor, or ferromagnetic material is represented by using the finite element method (FEM). An analytical expression for a magnetic field that contains unknown coefficients is coupled with the FE formulation for a coupled system equation with a matrix form. A numerical experiment relating to a line current near a ferromagnetic material shows the validity of this coupling method.

KW - Analytical solution

KW - Coupling scheme

KW - Finite element method (FEM)

KW - Fourier series expansion

KW - Singular line current

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JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 6

M1 - 4526915

ER -

A coupling scheme of analytical method and FEM for analysis of magnetic field by singular line currents

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Keywords

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