Influence of Nonlinearity of Magnetic Material on Skin Effect in Tubes

The skin effect will be considered on the basis of solving both the wave and integral equations of the skin effect in which the magnitudes of the current density within the conductor are unknown. Both equations are derived under the assumption that the conduction current prevails over the dielectric displacement current in the conductor and that the effect of propagation along the conductor is negligible, so that it is a plane-parallel quasi-stationary field. The obtained approximate numerical results were compared with the exact analytical ones and with results obtained by FEM and very good agreement was found. A massive tube filled with a nonlinear material in the magnetic sense, whose hysteresis loop is approximated by an ellipse, is considered in this paper.