Statistical analysis of multiconductor cables and interconnects with internal variability and field coupling

This paper provides an overview of the polynomial chaos (PC) technique applied to the statistical analysis of multi-conductor cables and PCB interconnects with internal variability, like cross-sectional variations, or random field coupling. The methodology is based on the expansion of the random electrical variables onto orthogonal polynomial bases. Accurate polynomial approximations for the random output variables of interest can be obtained through the solution of augmented but deterministic systems of equations, and used for a faster computation of relevant statistical information. Compared to traditional brute-force techniques for statistical analysis, like the Monte Carlo (MC) method, PC offers comparable accuracy and increased efficiency in many practical situations. Application examples demonstrate the strength of the proposed approach.