Multiconductor transmission line models excited from multiple stochastic sources

Abstract

The paper deals with a technique for simulation of statistical characteristics of random responses in multiconductor transmission line (MTL) models excited from multiple stochastic sources. The method follows the theory of stochastic differential equations (SDE), specially a vector linear SDE with additive noise is developed for the solution. The MTL's model is prepared for testing number of situations at stochastic and/or deterministic excitations in its arbitrary nodes. In such a way one can cover effects of possible stochastic disturbances along the MTL wires. The MTL model is formed by generalized Π networks in cascade, while the state-variable method is used to derive its mathematical description. The excitations are permitted through generalized Thevenin equivalents of external circuits. To get the characteristics of the stochastic responses, a set of trajectories is statistically processed, while a weak stochastic backward Euler scheme, consistent with the Ito stochastic calculus, is applied.