Radiated Susceptibility Analysis of Single-wire Transmission Lines by Means of Modified Stochastic Reduced-order Modeling

Abstract

This work investigates the statistical radiatedsusceptibility of an electrically-short transmission line (TL)consisting of a single wire over a ground plane. The angularparameters of the impinging plane wave and the height ofthe wire over the ground plane are modelled as randomvariables with Gaussian/Uniform distributions. Thestatistical properties of the current in the TL terminations(i.e., mean value, standard deviation, and cumulativedistribution function) are derived through a properlydefined numerical methodology consisting in a modifiedversion of the conventional Stochastic Reduced-OrderModel (SROM) approach. The proposed methodologyconsists in a straightforward approximation of the inputcontinuous random variables with small-size discreterandom variables. In contrast with conventional SROM, nonumerical pre-processing is needed. The modified SROMproposed in this paper demonstrates high efficiency whencompared with classical Monte Carlo approach. Theproposed technique can be applied to the statistical analysisof much more complex systems whose input/outputrelationship requires a huge computational burden and forwhich the conventional Monte Carlo approach is notsuitable