Variability analysis of a boost converter based on an iterative and decoupled circuit implementation of the stochastic Galerkin method

This paper proposes a decoupled and iterative circuit implementation of the stochastic Galerkin method (SGM) for the variability analysis of electrical circuits via polynomial chaos (PC). The method is based on a perturbative reformulation of the SGM, resulting in a decoupled system with equivalent sources that is solved iteratively by suitably updating the sources at each step. This alternative approach is easier to implement and its computational cost scales linearly with the number of unknown PC coefficients. This contribution addresses the case of stochastic resistors. As a validation, the technique is applied to the variability analysis of a boost converter.This paper proposes a decoupled and iterative circuit implementation of the stochastic Galerkin method (SGM) for the variability analysis of electrical circuits via polynomial chaos (PC). The method is based on a perturbative reformulation of the SGM, resulting in a decoupled system with equivalent sources that is solved iteratively by suitably updating the sources at each step. This alternative approach is easier to implement and its computational cost scales linearly with the number of unknown PC coefficients. This contribution addresses the case of stochastic resistors. As a validation, the technique is applied to the variability analysis of a boost converter.P