SPICE-compatible admittance equivalent circuit for stochastic transmission line under external field illumination

For the stochastic transient analysis of transmission line with parameter uncertainties under plane wave illumination, a random admittance equivalent circuit model was presented. Based on the polynomial chaos theory and stochastic Galerkin method, the random transmission line equation was cast into the augmented deterministic transmission line equation. By virtue of eigenfunction decomposition and appropriate acceleration of convergence, a SPICE-compatible Foster form of admittance equivalent circuit model was obtained. The random boundary condition for non-linear loads was solved by applying the Gauss quadrature rule. Application examples validate the accuracy and efficiency of the presented methodology.