Skin effect and proximity effect in multiconductor systems with applied currents and voltages

Abstract

A finite element-boundary element coupling method is used to compute the two-dimensional magnetic field in multiconductor systems with magnetic materials. The terminal voltages and the tangential magnetic field on the boundaries are included in the finite element formulation for conductors. The total current in a conductor is expressed as the line integral of the tangential field around the conductor. One extra condition per conductor is necessary. It can be used to force the total current or, more generally, to couple the magnetic field computation program with circuit equations. Comparison between numerical results and analytical computations (a circular conductor and two rectangular bars in a slot) shows the accuracy of the method.