@Article{CiCP-22-683,
author = {Xujing Li, Shipeng Mao, Kangkang Yang and Weiying Zheng },
title = {On the Magneto-Heat Coupling Model for Large Power Transformers},
journal = {Communications in Computational Physics},
year = {2017},
volume = {22},
number = {3},
pages = {683--711},
abstract = {<p style="text-align: justify;">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&#39;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&#39;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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0194},
url = {http://global-sci.org/intro/article_detail/cicp/9977.html}
}