Aitken-Schwarz heterogeneous Domain Decomposition for EMT-TS Simulation

TL;DR

This paper introduces a heterogeneous domain decomposition method combining EMT and TS models for electrical circuit simulation, demonstrating convergence and acceleration techniques without relying on transmission line cuts.

Contribution

It presents a novel heterogeneous DDM approach for EMT-TS simulation based on connectivity, avoiding transmission line cuts, and applies Aitken's acceleration for improved convergence.

Findings

Proven convergence of homogeneous and heterogeneous DDM methods.

Effective use of Aitken's acceleration to speed up convergence.

Domain partitioning based on connectivity enhances simulation accuracy.

Abstract

In this paper, a Schwarz heterogeneous domain decomposition method (DDM) is used to co-simulate an RLC electrical circuit where a part of the domain is modeled with Electro-Magnetic Transients (EMT) modeling and the other part with dynamic phasor (TS) modeling. Domain partitioning is not based on cutting at transmission lines which introduces a physical delay on the dynamics of the solution, as is usually done, but only on connectivity considerations. We show the convergence property of the homogeneous DDM EMT-EMT and TS-TS and of the heterogeneous DDM TS-EMT, with and without overlap and we use the pure linear divergence/convergence of the method to accelerate it toward the searched solution with the Aitken's acceleration of the convergence technique.