An Equivalent Two-Port Model for a Transmission Line of Finite Length Accounting for High-Frequency Effects

The aim of this paper is the definition of an equivalent two-port model of a transmission line that is able to take into account high frequency radiation effects. Such a model is particularly useful when one has to represent the line into a more complex power system, modeled in a lumped way. To reach this goal, it is necessary to produce a reliable and computationally effective solution to the problem of the high-frequency electromagnetic field coupling with a terminated transmission line. From a mathematical standpoint, this problem can be presented by means of an integral equation whose solution can be achieved with regularization procedures for linear inverse problems. In order to obtain a computationally efficient result, the unknown current is first developed in a Fourier series and then the Landweber iterative algorithm is applied to identify the series coefficients. The proposed method is then tested taking as reference the numerical results obtained using the Numerical Electromagnetics Code (NEC-2), reaching a good agreement.

I. Introduction

The analysis of the coupling between high-frequency (HF) electromagnetic fields and conducting wires is becoming one important field of investigation among the electromagnetic compatibility (EMC) researchers, due to the huge number of electromagnetic field sources (FM radio broadcasting, TV broadcasting, lightning electromagnetic pulses (LEMP), mobile phones and so on) that can impact on both power and signal transmission lines (TLs) and the quantity of devices which could be affected by the coupling phenomena.