Polynomial chaos based variability analysis of power distribution networks using a 3D topology of multiconductor transmission lines

In this paper, a stochastic Galerkin formulation for the variability analysis of power distribution network (PDN) structures within a SPICE environment is proposed. The key feature of this work is that the augmented PDN model arising due to the Galerkin projection is realized using a 3D topology of multiconductor transmission lines. Thereafter, a sophisticated delay extraction based modeling technique, previously applied for 2D multiconductor transmission line networks, is used to model this 3D topology. As a result, the proposed work is able to provide more efficient broadband simulation compared to existing lumped stochastic models. A numerical example is provided to validate this work.