Multi-conductor Transmission Line with Non-linear Impedances: Application to 50Hz Studies

Abstract

This paper presents an algorithm for the evaluation of currents and voltages along a multi-conductor transmission line having non-linear impedances due to the presence of ferromagnetic conductors; we assume that these impedances are function of the current carried by the relevant conductor so that the equivalent circuit modelling the line is non-linear and has to be solved by means of an iterative procedure. The present paper can be considered as the generalization of our previous works successfully applied to single conductor lines with earth return. Some examples of application to typical 50-60Hz interference studies between power/railway lines on telecommunication cables and pipelines are shown.