Two-Dimensional Analysis of AC Loss in Superconductors Carrying Transport Current

Abstract

Previous treatments of hysteresis loss in cylindrical type II superconductors have been based primarily on slab models owing to the difficulty in solving the two-dimensional field problem for the flux and current distribution in the conductor cross section. Solutions have recently been found from numerical techniques for the two-dimensional transverse magnetic field penetration, 1, 2, 3 although these solutions do not include the effect of the transport current. To date, this effect has only been included by approximations and empirical interpolations from the slab model. Since most cases of practical interest include filaments carrying transport current, greater accuracy in the loss calculation can only come from a two-dimensional solution that takes account of the transport current.