TY - JOUR
T1 - On the Magneto-Heat Coupling Model for Large Power Transformers
AU - Xujing Li, Shipeng Mao, Kangkang Yang & Weiying Zheng 
JO - Communications in Computational Physics
VL - 3
SP - 683
EP - 711
PY - 2017
DA - 2017/09
SN - 22
DO - http://doi.org/10.4208/cicp.OA-2016-0194
UR - https://global-sci.org/intro/article_detail/cicp/9977.html
KW - 
AB - <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>