Time-domain finite element modeling of nonlinear conductivity using Newton's method

Su Yan, Jianming Jin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Dielectric breakdown during high power operation is hazardous to electric and electronic devices and systems. During the breakdown process, the bound charges break free and are pushed to move under the force of high intensity fields. As a result, the dielectric which was a good insulator becomes a conductor. Such a process can be described as the change of conductivity of the dielectric, which in this case, is a nonlinear function of the electric field. In this paper, the nonlinear conductivity is incorporated into Maxwell's equations, and the resulting nonlinear equation is solved using the time-domain finite element method together with Newton's method. A numerical example is presented to demonstrate the capability of the proposed algorithm and the nonlinear effect caused by the nonlinear conductivity.

Original languageEnglish (US)
Title of host publication2015 IEEE Antennas and Propagation Society International Symposium, APS 2015 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1822-1823
Number of pages2
ISBN (Electronic)9781479978151
DOIs
StatePublished - Oct 22 2015
EventIEEE Antennas and Propagation Society International Symposium, APS 2015 - Vancouver, Canada
Duration: Jul 19 2015Jul 24 2015

Publication series

NameIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume2015-October
ISSN (Print)1522-3965

Other

OtherIEEE Antennas and Propagation Society International Symposium, APS 2015
CountryCanada
CityVancouver
Period7/19/157/24/15

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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  • Cite this

    Yan, S., & Jin, J. (2015). Time-domain finite element modeling of nonlinear conductivity using Newton's method. In 2015 IEEE Antennas and Propagation Society International Symposium, APS 2015 - Proceedings (pp. 1822-1823). [7305300] (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest); Vol. 2015-October). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/APS.2015.7305300