Stochastic Analysis of Multi-Twisted Bundle of Twisted-Wire Pairs (MTB-TWP) Above Ground Plane With Random Non-uniform Twisting

A generalized multi-conductor transmission (MTL) line model is developed for predicting electromagnetic wave coupling effects with multi-twisted bundle of twisted-wire pairs (MTB-TWP) above a ground with random non-uniform twisting. The twist pitches of the MTB-TWP are considered to be spatial stochastic functions. Then, the parametric equations of the nonuniform MTB-TWP are derived in their general form. In addition, the effect of non-synchronism during the twisting and incomplete terminal twist on the common mode (CM) and differential mode (DM) currents are investigated. Moreover, to imitate the real life disturbances, the twist pitches are assumed to follow Gaussian stochastic noises. After that, Monte Carlo simulations are carried out, hence, it is shown that the DM currents are very sensitive to the geometry of the twisting whereas the CM current is slightly effected. The MTL model is validated in comparison with MoM results and good agreements are obtained.