Three-dimensional eddy current problems using the T-Ω method and fredholm integral equations

Abstract

A technique is discussed for computing three-dimensional magnetic fields created by an oscillating source in a conducting medium. The technique's contribution lies in the manner in which the Fredholm integral technique is merged with a representation of the magnetic field as the sum of a vector and the gradient of a scalar (the T-Ω representation). The T-Ω representation is shown to conveniently realize the boundary conditions without introducing higher order derivative terms into the integral equations. The technique offers a powerful means of numerically calculating three-dimensional fields, necessitating only the discretization of interfacial surfaces.