Abstract :
Modern finite-element software enables engineers to model a wide range of eddy-current problems in both two and three dimensions. For a less general range of problems, it can be efficient and instructive to use hybrid analytical/numerical techniques, the most popular of which use Fourier analysis in either rectangular or cylindrical coordinates. An analytical circuit model of infinite current sheet systems is presented in which boundaries are approximated by Fourier symmetries. By using properties of such a system the model is extended to a bounded conducting region, where the secondary is represented by a set of harmonic windings whose currents are outside the boundary. The model is applied to the TEAM Workshop problem Felix1b, which is documented by Davey (1988), and whose own efficient numerical formulation successfully uses a Green´s function approach and Fourier eigenmodal shapes. In the models presented, however, all results are analytical and were derived symbolically using Mathematica
