An Electromagnetic Field and Electric Circuit Coupled Method for Solid Conductors in 3-D Finite-Element Method

The traditional low-frequency electromagnetic field computations do not include stray capacitive effect, while high-frequency solvers do not consider the nonlinear property of materials, and the internal regions of solid conductors as well as external circuit excitations. In this paper, the application of 3-D edge-element finite-element method (FEM) to problems with both inductive and capacitive effects for solid conductors, under external circuit excitations using the formulation with a magnetic vector potential and an electric scalar potential, is presented. The novel field-circuit coupled method that is presented does not need to look for the integration path of electromotive force computation. It has the merit of being convenient in algorithm implementation. Several numerical examples are given to showcase the proposed formulation and the developed computer program using an edge-element FEM.