Harmonic-balance finite-element modeling of electromagnetic devices: a novel approach

Author

Gyselinck, Johan ; Dular, Patrick ; Geuzaine, Christophe ; Legros, Willy

Author_Institution

Dept. of Electr. Eng., Liege Univ., Belgium

Volume

38

Issue

2

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

521

Lastpage

524

Abstract

In this paper, a novel and easy-to-implement approach to the harmonic-balance finite-element modeling of electromagnetic devices is presented. The governing system of nonlinear algebraic equations is derived assuming an arbitrary (anisotropic) magnetic constitutive law. It is solved by means of the Newton-Raphson (NR) method, the elaboration of which is very simple thanks to the introduction of the differential reluctivity tensor. The method is validated by applying it to a three-dimensional and a two-dimensional voltage-driven model of a three-phase inductor. The convergence of the NR scheme and the accuracy of the obtained harmonic-balance current waveforms are studied

Keywords

Newton-Raphson method; convergence of numerical methods; electromagnetic devices; finite element analysis; harmonic analysis; inductors; Newton-Raphson method; anisotropic magnetic constitutive law; convergence; current waveform; differential reluctivity tensor; electromagnetic device; harmonic balance finite element model; nonlinear algebraic equation; three-dimensional model; three-phase inductor; two-dimensional model; voltage-driven model; Anisotropic magnetoresistance; Electromagnetic devices; Electromagnetic modeling; Finite element methods; Inductors; Magnetic anisotropy; Nonlinear equations; Perpendicular magnetic anisotropy; Tensile stress; Voltage;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.996137

Filename

996137