A T-psi formulation with the penalty function term for the 3D eddy current problem in laminated structures

作者：Kang, Tong^*; Chen, Tao; Wang, Yanfang; Kim, Kwang Ik

来源：Applied Mathematics and Computation, 2015, 271: 618-641.

DOI：10.1016/j.amc.2015.08.133

• Nonlinear eddy current problem
• GO silicon steel lamination
• T-psi formulation
• Penalty function
• Well-posedness
• Error estimate

In this paper we present a new eddy current model by means of the T-psi formulation with the penalty function term for the three-dimensional(3D) nonlinear eddy current equations with laminated conductors. By omitting the insulating films between the neighboring laminations, the approximate model reduces the scale ratio by 2-3 orders of magnitude. Then it avoids very fine or very anisotropic mesh in coating films and can save computational work greatly in numerical approximations. We study the weak formulations of the original and the approximate problem to obtain their well-posedness. Further, we prove the convergence for the solution of the new model to the solution of the original problem as the thickness of coating films approaches zero.

• 出版日期2015-11-15
• 单位中国传媒大学; 河南理工大学