Advanced finite-element method employing a singularity function for triple junction problems

Yeon Ho Oh; Ki Dong Song; Hee Jun Choe; Sung Chin Hahn

doi:10.1109/TMAG.2009.2012619

Advanced finite-element method employing a singularity function for triple junction problems

Yeon Ho Oh, Ki Dong Song, Hee Jun Choe, Sung Chin Hahn

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A triple junction, joining place of a conductor, insulator, and gas substance, is a critical place with low dielectric strength in a high voltage apparatus. Around this triple junction, the electric field intensity is abruptly increased and the breakdown phenomena can be easily observed. To predict the breakdown characteristics of the triple junction, it is essential to estimate the distributions of electric field intensity with very high accuracy. In this work, to more accurately evaluate the electric field around the triple junction, we propose an advanced FEM (A-FEM) adopting a singularity function combined with the conventional FEM augmented with only one unknown variable.

Original language	English
Article number	4787498
Pages (from-to)	1336-1339
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	45
Issue number	3
DOIs	https://doi.org/10.1109/TMAG.2009.2012619
Publication status	Published - 2009 Mar

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/TMAG.2009.2012619

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abstract = "A triple junction, joining place of a conductor, insulator, and gas substance, is a critical place with low dielectric strength in a high voltage apparatus. Around this triple junction, the electric field intensity is abruptly increased and the breakdown phenomena can be easily observed. To predict the breakdown characteristics of the triple junction, it is essential to estimate the distributions of electric field intensity with very high accuracy. In this work, to more accurately evaluate the electric field around the triple junction, we propose an advanced FEM (A-FEM) adopting a singularity function combined with the conventional FEM augmented with only one unknown variable.",

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AU - Song, Ki Dong

AU - Choe, Hee Jun

AU - Hahn, Sung Chin

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AB - A triple junction, joining place of a conductor, insulator, and gas substance, is a critical place with low dielectric strength in a high voltage apparatus. Around this triple junction, the electric field intensity is abruptly increased and the breakdown phenomena can be easily observed. To predict the breakdown characteristics of the triple junction, it is essential to estimate the distributions of electric field intensity with very high accuracy. In this work, to more accurately evaluate the electric field around the triple junction, we propose an advanced FEM (A-FEM) adopting a singularity function combined with the conventional FEM augmented with only one unknown variable.

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Advanced finite-element method employing a singularity function for triple junction problems

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