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

Su Yan; Jianming Jin

doi:10.1109/APS.2015.7305300

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

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	2015 IEEE Antennas and Propagation Society International Symposium, APS 2015 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1822-1823
Number of pages	2
ISBN (Electronic)	9781479978151
DOIs	https://doi.org/10.1109/APS.2015.7305300
State	Published - Oct 22 2015
Event	IEEE Antennas and Propagation Society International Symposium, APS 2015 - Vancouver, Canada Duration: Jul 19 2015 → Jul 24 2015

Publication series

Name	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume	2015-October
ISSN (Print)	1522-3965

Other

Other	IEEE Antennas and Propagation Society International Symposium, APS 2015
Country	Canada
City	Vancouver
Period	7/19/15 → 7/24/15

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/APS.2015.7305300

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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

Time-domain finite element modeling of nonlinear conductivity using Newton's method. / Yan, Su; Jin, Jianming.

2015 IEEE Antennas and Propagation Society International Symposium, APS 2015 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. p. 1822-1823 7305300 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest); Vol. 2015-October).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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., 7305300, IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), vol. 2015-October, Institute of Electrical and Electronics Engineers Inc., pp. 1822-1823, IEEE Antennas and Propagation Society International Symposium, APS 2015, Vancouver, Canada, 7/19/15. https://doi.org/10.1109/APS.2015.7305300

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

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