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Author:

Jiang, Xue (Jiang, Xue.) | Zhang, Donghang (Zhang, Donghang.) | Zhang, Linbo (Zhang, Linbo.) | Zheng, Weiying (Zheng, Weiying.)

Indexed by:

Scopus SCIE

Abstract:

This paper is devoted to finite element analysis for the magneto-heat coupling model which governs the electromagnetic fields in large power transformers. The model, which couples Maxwell's equations and Heat equation through Ohmic heat source, is nonlinear. First we derive an equivalent weak formulation for the nonlinear magneto-heat model. We propose a linearized and temporally discrete scheme to approximate the continuous problem. The well-posedness and error estimates are proven for the semi-discrete scheme. Based on the results, we propose a fully discrete finite element problem and prove the error estimates for the approximate solutions. To validate the magneto-heat model and verify the efficiency of the finite element method, we compute an engineering benchmark problem of the International Compumag Society, P21(b)-MN. The numerical results agree well with experimental data.

Keyword:

Magneto-heat coupling model finite element method Maxwell equations eddy current problem

Author Community:

  • [ 1 ] [Jiang, Xue]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Donghang]Acad Math & Syst Sci, Chinese Acad Ef Sci, NCMIS, LSEC, Beijing 100190, Peoples R China
  • [ 3 ] [Zhang, Linbo]Acad Math & Syst Sci, Chinese Acad Ef Sci, NCMIS, LSEC, Beijing 100190, Peoples R China
  • [ 4 ] [Zheng, Weiying]Acad Math & Syst Sci, Chinese Acad Ef Sci, NCMIS, LSEC, Beijing 100190, Peoples R China
  • [ 5 ] [Zhang, Donghang]Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
  • [ 6 ] [Zhang, Linbo]Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
  • [ 7 ] [Zheng, Weiying]Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

Reprint Author's Address:

  • [Zheng, Weiying]Acad Math & Syst Sci, Chinese Acad Ef Sci, NCMIS, LSEC, Beijing 100190, Peoples R China;;[Zheng, Weiying]Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

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Source :

COMMUNICATIONS IN COMPUTATIONAL PHYSICS

ISSN: 1815-2406

Year: 2019

Issue: 5

Volume: 26

Page: 1471-1489

3 . 7 0 0

JCR@2022

ESI Discipline: PHYSICS;

ESI HC Threshold:123

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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