论文题目:An H-Ã Formulation for the Three-Dimensional Eddy Current Problem in Laminated Structures
作 者:Peijun Li¤ Weiying Zhengy
论文摘要: It is a very challenging problem for the direct simulation of the three-dimensional eddy currents in grain-oriented (GO) silicon steel laminations since the coating ¯lm is only several microns thick over each lamination and the magnetic permeability is nonlinear and anisotropic.In addition, the system of GO silicon steel laminations has multiple scales and the ratio of the largest scale to the smallest scale can be up to 106. In this paper, we study an H-Ã
formulation for the nonlinear eddy current problem in laminated conductors. By omitting the insulating ¯lms between neighboring laminations, we propose an approximate but e®ective H-Ã formulation for the nonlinear eddy current problem, which reduces the scale ratio by 2{3 orders of magnitude. The well-posedness of the original problem and the approximate problem are established by examining their weak formulations. The convergence is proved for the solution of the approximate problem to the solution of the original problem as the thickness of coating ¯lms approaches zero.
所属实验室或研究中心:科学与工程计算国家重点实验室
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