Numerical calculation of nonlinear transient field problems with the Newton-Raphson method

Author

Drobny, Silvia ; Weiland, Thomas

Author_Institution

Fachgebiet Theorie Elektromagnetischer Felder, Tech. Hochschule Darmstadt, Germany

Volume

36

Issue

4

fYear

2000

fDate

7/1/2000 12:00:00 AM

Firstpage

809

Lastpage

812

Abstract

The modeling and numerical simulation of transient electromagnetic field problems with ferromagnetic materials is described in the context of the Finite Integration Technique (FIT). This paper presents a Newton-Raphson method adapted to FIT which is faster than the Successive Approximation technique. Due to the nonlinear material behavior these algorithms are not always stable. In order to improve convergence, a dynamic relaxation process and a suitable interpolation of the magnetization curve are presented. Results of these iterative schemes are compared with measurements of typical benchmark problems

Keywords

Newton-Raphson method; convergence of numerical methods; electromagnetic field theory; ferromagnetic materials; integration; magnetisation; transient analysis; Newton-Raphson method; algorithm; convergence; dynamic relaxation; ferromagnetic material; finite integration technique; magnetization; nonlinear transient electromagnetic field; numerical simulation; Context modeling; Convergence; Electromagnetic fields; Electromagnetic modeling; Electromagnetic transients; Iterative algorithms; Magnetic materials; Newton method; Numerical models; Numerical simulation;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.877568

Filename

877568