The numerical solution of steady-state skin effect problems--An integrodifferential approach

Abstract

An entirely new formulation of the classical steady-state skin effect problem is presented. The magnetic vector potential is obtained directly from the projective solution of a single integrodifferential equation. In this new form of the steady-state diffusion equation, the known measurable total current in conductors replaces the usual unknown source current density vector. The validity and correctness of the new formulation are demonstrated by a simple, easily verifiable example based on finite element discretization.