Analysis of Magnetic Fields induced by Line Currants using Coupling of FEM and Analytical Solution

선전류에 의해 발생되는 자장의 해석을 위한 유한요소법과 해석해의 결합 기법

The analysis of magnetic fields(2-D) induced by line currents, such as Overhead Trolley Lines or Transmission Lines, is not so easy by using the standard Finite Element Method(FEM). Mesh generation is one of the most important processes in the standard FEM. Because, the current region is relatively small compared with whole region, and actually is a line without thickness, the mesh refinement around the source lines yields many demerits. A way of supplement such a defect, we proposed the coupling scheme of analytical solution and FEM. In this study, the analytical solution is adopted around the region of line currents and FE solution is a lied to the rest of source region. And the two types of solution are coupled at the artificial boundary. To verify the usefulness of proposed algorithm, simplified model with magnetic material in FE region is chosen and analyzed. The results are compared with those of standard FEM. And the errors between them can be reduced by increasing harmonic orders.