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Transient stability simulation of a large-scale and interconnected electricpower system involves solving a large set of differential algebraic equations(DAEs) at every simulation time-step. With the ever-growing size and complexityof power grids, dynamic simulation becomes more time-consuming andcomputationally difficult using conventional sequential simulation techniques.To cope with this challenge, this paper aims to develop a fully distributedapproach intended for implementation on High Performance Computer (HPC)clusters. A novel, relaxation-based domain decomposition algorithm known asParallel-General-Norton with Multiple-port Equivalent (PGNME) is proposed asthe core technique of a two-stage decomposition approach to divide the overalldynamic simulation problem into a set of subproblems that can be solvedconcurrently to exploit parallelism and scalability. While the convergenceproperty has traditionally been a concern for relaxation-based decomposition,an estimation mechanism based on multiple-port network equivalent is adopted asthe preconditioner to enhance the convergence of the proposed algorithm. Theproposed algorithm is illustrated using rigorous mathematics and validated bothin terms of speed-up and capability. Moreover, a complexity analysis isperformed to support the observation that PGNME scales well when the size ofthe subproblems are sufficiently large.

A Relaxation-based Network Decomposition Algorithm for Parallel Transient Stability Simulation with Improved Convergence