Development of integral equation solution for 3-D eddy current distribution in a conducting body

Eddy current analysis finds wide application in electrical machinery and devices, in power system analysis, nondestructive testing, continuous casting, ship board applications, and others. Finite-element methods such as T-Omega, A-phi and A-V methods [2] do provide solutions of acceptable accuracy for small problems where the element size is comparable to skin depth. Even for this, a large number of elements are required to model the entire space of the conducting medium and the surrounding air region. Integral equations [1], [3] require modeling of only the conducting parts and therefore offer an alternative approach to the problem. This paper presents an integral equation analysis and its application to a conducting body with and without a crack excited by a transmission line source.