Computation of Axisymmetrical Open-Boundary Eddy-Current Field Problems Using A Hybrid Finite Element - Analytical Approach

摘要

This paper presents a new approach for modeling open boundary conditions in axisymmetric eddy-current field problems that is considerably simpler and more efficient than the existing alternatives. The approach is called hybrid finite element -analytical approach, because it combines a closed form solution for the exterior region with a finite element discretization of the interior region for axisymmetric geometry. In the hybrid finite element-analytical approach, the total field region is divided into an interior region Ω_I and an exterior region Ω_e by a half circular boundary Γ. The exterior region may be solved analytically using the separation of variables procedure. Substituting this solution into the functional for the integrodifferential equation of axisymmetrical eddy-current field problems, results in a symmetric matrix equation that is solved for the field. The method is applied to illustrative eddy-current problems, and the numerical results of example are compared with those obtained by analytical solution.