A multi-step method for 3-D nonlinear transient eddy current problems

Author

Yingying, Yao ; Dexin, Xie ; Jinming, Wang ; Mohammed, Osama A.

Author_Institution

Sch. of Electr. Eng., Shenyang Univ. of Technol., China

Volume

37

Issue

5

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

3194

Lastpage

3197

Abstract

A new method for solving the 3-D nonlinear transient eddy current problem is presented in this paper. The original finite element governing equations are separated into two parts: algebraic and differential equations. Multi-step algorithm, which is used only for the variables in conducting area, is adopted to analyze the first order differential equations. The investigating results reveal that this method avoids the oscillation occurred in single-step method and has higher precision with less computational effort

Keywords

Galerkin method; computational complexity; eddy currents; electrical engineering computing; finite element analysis; interpolation; nonlinear differential equations; partial differential equations; 3D nonlinear transient eddy current problem; Galerkin method; algebraic equations; electric scalar potential; finite element governing equations; first order differential equations; interpolation functions; less computational effort; magnetic vector potential; multistep algorithm; transient equations; Algorithm design and analysis; Differential algebraic equations; Differential equations; Eddy currents; Electric potential; Finite element methods; Finite wordlength effects; Nonlinear equations; Numerical analysis; Transient analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.952575

Filename

952575