Wirbelstromdichte in Keilfoermigen Leitenden Zylindern Inhomogener Leitfaehigkeit (Eddy Current Density in Wedge-Shaped Conducting Cylinders with Inhomogeneous Conductivity)

摘要

An analytical method for the calculation of eddy currents induced in wedge-shaped conductors was developed. The wedge-shaped conducting cylinders are in the field of a two-wire line in which an alternating current flows. By symmetry considerations the problem was reduced to two partial problems. For each partial problem three spaces were considered. For each space assumptions for the field-describing vector potential were deduced, leading to a complex transcendental eigenvalue equation for the constants of the potential assumptions. The fulfilment of the boundary conditions leads to a linear system of equations which was numerically solved. Using the calculated constants, the induced eddy current density was computed and graphically represented for several dimensions. The magnetic field lines for small and large skin depths are shown.