# Stochastic Power Grid Analysis Considering Process Variations - Computer Science > Hardware Architecture

Abstract: In this paper, we investigate the impact of interconnect and device processvariations on voltage fluctuations in power grids. We consider randomvariations in the power grid-s electrical parameters as spatial stochasticprocesses and propose a new and efficient method to compute the stochasticvoltage response of the power grid. Our approach provides an explicitanalytical representation of the stochastic voltage response using orthogonalpolynomials in a Hilbert space. The approach has been implemented in aprototype software called OPERA Orthogonal Polynomial Expansions for ResponseAnalysis. Use of OPERA on industrial power grids demonstrated speed-ups of upto two orders of magnitude. The results also show a significant variation ofabout $\pm$ 35% in the nominal voltage drops at various nodes of the powergrids and demonstrate the need for variation-aware power grid analysis.

Author: Praveen Ghanta, Sarma Vrudhula, Rajendran Panda, Janet Wang

Source: https://arxiv.org/