A sinusoidal magnetic field computation in nonlinear materials

Author

Hedia, H. ; Remacle, J.F. ; Dular, P. ; Nicolet, A. ; Genon, A. ; Legros, W.

Author_Institution

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

Volume

31

Issue

6

fYear

1995

fDate

11/1/1995 12:00:00 AM

Firstpage

3527

Lastpage

3529

Abstract

This paper presents a new approach to solve nonlinear problems using the complex formalism in the finite element method. The main idea is to use a modified Newton Raphson procedure taking into account both the derivative and the conjugate derivative of the unknowns in the Jacobian matrix. To validate this method, the nonlinear complex analysis is compared to a classical time stepping analysis for the computation of the magnetic field outsides shielded three-phase cable

Keywords

Jacobian matrices; Newton-Raphson method; cable sheathing; ferromagnetic materials; ferromagnetism; finite element analysis; magnetic shielding; Jacobian matrix; Newton Raphson procedure; classical time stepping analysis; conjugate derivative; finite element method; nonlinear ferromagnetic materials; shielded three-phase cable; sinusoidal magnetic field; Conducting materials; Finite element methods; Jacobian matrices; Magnetic analysis; Magnetic fields; Magnetic flux; Magnetic materials; Magnetic shielding; Nonlinear equations; Shape;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.489558

Filename

489558