Time-domain analysis of quasistatic electric fields in media with frequency-dependent permittivity

Author

Preis, K. ; Biro, O. ; Supancic, P. ; Ticar, I. ; Matzenauer, G.

Author_Institution

Inst. for Fundamentals & Theor. in Electr. Eng., Graz Univ. of Technol., Austria

Volume

40

Issue

2

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

1302

Lastpage

1305

Abstract

A time-domain method is presented to treat transient quasistatic electric problems if the permittivity depends on frequency. The inverse Fourier transform of the complex permittivity spectrum is used in a time-stepping procedure. The method is numerically realized using finite-element techniques. The approach is validated by assuming a frequency dependence having an analytical inverse transform. Thus, the frequency dependence of the permittivity of a real electroceramic material is determined from measurement results by curve fitting. An example using this curve illustrates the effect of the frequency dependence of permittivity on the time-domain solution.

Keywords

Fourier transforms; curve fitting; electric fields; finite element analysis; permittivity; time-domain analysis; transient analysis; analytical inverse transform; curve fitting; electroceramic material; finite-element calculations; finite-element techniques; frequency dependence; frequency-dependent permittivity; inverse Fourier transform; permittivity spectrum; quasistatic electric fields; time-dependent electric fields; time-domain analysis; transient analysis; transient quasistatic electric problems; Conductivity; Curve fitting; Electric potential; Finite element methods; Fourier transforms; Frequency dependence; Frequency measurement; Permittivity measurement; Time domain analysis; Transient analysis;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.825455

Filename

1284659