Finite-Element Solution of the Eddy-Current Problem in Magnetic Structures

TLDR

The analysis is based on the linear diffusion equation that represents the energy functional for eddy‑current problems. The paper presents a finite‑element analysis of eddy‑current problems in magnetic structures. Triangular finite elements discretise the field region, and the solution is obtained by minimizing the energy functional with respect to the vertex values of the vector potential. The method yields expressions for magnetic and electric fields and eddy‑current losses, and its application to engineering cases shows agreement with classical analysis and experimental tests.

Abstract

Analysis of the eddy-currentproblem in magnetic structures by the method of Finite-elements is presented. The linear diffusion equation representing the appropriate energy functional is described. The field region is discretised by triangular Finite-elements and the solution to the field problem is obtained by minimizing the energy functional with respect to each of the vertex values of the vector potential. Expressions for the magnetic field, electric field and eddy-current losses are presented. The method is applied to a few cases of engineering interest and compared with results of classical analysis and tests.