A New Analytical Method for Calculation of Eddy Current Distribution and Its Application to a System of Conductor-slab and Rectangular Coil

摘要

This study proposes an analytical method for the eddy current distribution analyses, and provides the eddy current distribution in conductor slab with rectangular coils arranged perpendicular to the slab. Our analytical method utilizes double Fourier transform to derive a set of equations for determining the eddy current distribution. The eddy current density is derived from the analytical solution called stream function. The spatial distribution of eddy current, which is dependent upon the frequency of coil current, the thickness and velocity of a conductor slab, is successfully obtained. Our analytical method is usable for calculations of varieties of eddy current problems, and we demonstrate the eddy current distributions in a conductor slab facing to a rectangular coil.