TY - JOUR
T1 - Finite Element Analysis for Nonstationary Magneto-Heat Coupling Problem
AU - Jiang , Xue
AU - Zhang , Donghang
AU - Zhang , Linbo
AU - Zheng , Weiying
JO - Communications in Computational Physics
VL - 5
SP - 1471
EP - 1489
PY - 2019
DA - 2019/08
SN - 26
DO - http://doi.org/10.4208/cicp.2019.js60.08
UR - https://global-sci.org/intro/article_detail/cicp/13272.html
KW - Magneto-heat coupling model, eddy current problem, Maxwell equations, finite element method.
AB - <p style="text-align: justify;">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&#39;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<sup>b</sup>-MN. The numerical results agree well with experimental data.</p>