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On the Magneto-Heat Coupling Model for Large Power Transformers

Part of: Optics, electromagnetic theory - General Parabolic equations and systems Equations of mathematical physics and other areas of application

Published online by Cambridge University Press:  06 July 2017

Xujing Li ,
Shipeng Mao ,
Kangkang Yang  and
Weiying Zheng
Xujing Li*
Affiliation:
LSEC, NCMIS, Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences, CAS, Beijing, 100190, China
Shipeng Mao*
Affiliation:
LSEC, NCMIS, Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences, CAS, Beijing, 100190, China
Kangkang Yang*
Affiliation:
LSEC, NCMIS, Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences, CAS, Beijing, 100190, China
Weiying Zheng*
Affiliation:
LSEC, NCMIS, Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences, CAS, Beijing, 100190, China
*
*Corresponding author. Email addresses:lixujing@lsec.cc.ac.cn (X. Li), maosp@lsec.cc.ac.cn (S. Mao), yangkk@lsec.cc.ac.cn (K. Yang), zwy@lsec.cc.ac.cn (W. Zheng)
*Corresponding author. Email addresses:lixujing@lsec.cc.ac.cn (X. Li), maosp@lsec.cc.ac.cn (S. Mao), yangkk@lsec.cc.ac.cn (K. Yang), zwy@lsec.cc.ac.cn (W. Zheng)
*Corresponding author. Email addresses:lixujing@lsec.cc.ac.cn (X. Li), maosp@lsec.cc.ac.cn (S. Mao), yangkk@lsec.cc.ac.cn (K. Yang), zwy@lsec.cc.ac.cn (W. Zheng)
*Corresponding author. Email addresses:lixujing@lsec.cc.ac.cn (X. Li), maosp@lsec.cc.ac.cn (S. Mao), yangkk@lsec.cc.ac.cn (K. Yang), zwy@lsec.cc.ac.cn (W. Zheng)

Abstract

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This paper studies the magneto-heat coupling model which describes iron loss of conductors and energy exchange between magnetic field and Ohmic heat. The temperature influences Maxwell's equations through the variation of electric conductivity, while electric eddy current density provides the heat equation with Ohmic heat source. It is in this way that Maxwell's equations and the heat equation are coupled together. The system also incorporates the heat exchange between conductors and cooling oil which is poured into and out of the transformer. We propose a weak formulation for the coupling model and establish the well-posedness of the problem. The model is more realistic than the traditional eddy current model in numerical simulations for large power transformers. The theoretical analysis of this paper paves a way for us to design efficient numerical computation of the transformer in the future.

Keywords

Magneto-heat coupling modeleddy current problemMaxwell's equationsradiative boundary condition

MSC classification

Secondary: 35K55: Nonlinear parabolic equations 35Q60: PDEs in connection with optics and electromagnetic theory 78A25: Electromagnetic theory, general

Information

Type
Research Article
Information
Communications in Computational Physics , Volume 22 , Issue 3 , September 2017 , pp. 683 - 711
Copyright
Copyright © Global-Science Press 2017 

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