Transient eddy-current calculation with the FI-method

Author

Clemens, Markus ; Weiland, Thomas

Author_Institution

FB 18 Elektrotech. und Informationstech., Tech. Univ. Darmstadt, Germany

Volume

35

Issue

3

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

1163

Lastpage

1166

Abstract

This paper introduces time-domain formulations based on the Maxwell grid equations of the consistent finite integration (FI) method which allows calculation of slowly-varying electromagnetic fields with various implicit time-stepping techniques. The resultant large sparse linear systems of equations have to be solved by iterative methods for each time step. The preconditioned conjugate gradient methods allow the calculation of nongauged (quasi-)static problems efficiently. Numerical results are shown for the TEAM workshop problem 7 and an SRC high density magnetic head problem, which could be calculated with more than one million degrees of freedom

Keywords

Maxwell equations; eddy currents; electromagnetic field theory; integration; iterative methods; linear algebra; time-domain analysis; Maxwell grid equations; consistent finite integration method; implicit time-stepping techniques; iterative methods; large sparse linear equation systems; nongauged (quasi-)static problems; preconditioned conjugate gradient methods; slowly-varying electromagnetic fields; time-domain formulations; transient eddy-current calculation; Electromagnetic fields; Integral equations; Iterative methods; Linear systems; Magnetic materials; Magnetostatic waves; Maxwell equations; Partial differential equations; Time domain analysis; Voltage;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.767155

Filename

767155