On the Stability of Distributed Circuit Simulations

Abstract

We examine the stability of distributed simulations of electric circuits via their representation as distributed discrete-time dynamical systems. Our framework leads to necessary and sufficient stability conditions for distributed circuit solvers, even when the inter-processor communication pattern changes dynamically. The proposed framework is not only suitable for analyzing the co-simulation of large-scale power systems but also for analyzing a variety of dynamical systems that operate over a network. Stability analysis for a distributed simulation model of coupled nonlinear oscillation-known as the Kuramoto model-is also examined