Influence of Stochastic Contact Resistances on Coupling Losses

Abstract

In this paper the influence of stochastic contact resistances on coupling losses in cables is determined. The model consists of two parallel strands making contact with each other at several positions. The parallel resistances in the strands are constant. The interstrand contacts can have stochastic values. As time dependent electromagnetic fields induce currents, heat dissipation arizes. The dissipation due to the currents between the strands, defined as coupling losses, is investigated for constant contact resistances as well as for stochastic values. From the analysis, both analytical and numerical, it follows that, for spatially dependent time varying applied magnetic fields, the coupling losses increase when the parallel resistances decrease. Furthermore, it is shown that for smaller contact resistances the relative influence of the stochastic nature of the contact resistances on the coupling losses increases.