Multi-conductor transmission line with nonlinear 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 a generalization of our previous works successfully applied to single-conductor lines with earth return. Some examples of application to typical 50-60 Hz interference studies between power/railway lines on telecommunication cables and pipelines are shown.