An Algorithm for Obtaining Periodic Steady-State Solution of a Multiphase Network with Nonlinear and Switching Elements

Abstract

This paper proposes an algorithm for obtaining the periodic steady-state solution of a multiphase network, which includes nonlinear and switching elements, to be used for steady-state initialization in electromagnetic transient analysis. The algorithm takes rigorously into account the inter-harmonic couplings in the Jacobian matrix of the proposed Newton-Raphson iteration process and is capable of handling any circuit topology by use of Modified Nodal Equations. In this paper, the algorithm is first described and then applied to a test case to demonstrate its performance.