Co-simulation domain decomposition algorithm for hybrid EMT-Dynamic Phasor modeling

TL;DR

This paper presents a non-intrusive co-simulation algorithm for hybrid EMT and dynamic phasor modeling of electrical circuits, featuring domain decomposition and convergence acceleration, validated through numerical tests on a linear RLC circuit.

Contribution

It introduces a domain decomposition algorithm that avoids delays and uses Aitken's acceleration to improve convergence in hybrid EMT-TS co-simulation.

Findings

Algorithm achieves linear convergence in co-simulation.

Aitken's acceleration enhances convergence even with divergent interface conditions.

Numerical tests validate the effectiveness on a linear RLC circuit.

Abstract

An iterative coupling algorithm based on restricted additive Schwarz domain decomposition is investigated to co-simulate electrical circuits with hybrid electromagnetic (EMT) and transient stability (TS) modeled using dynamic phasors. This co-simulation algorithm does not introduce any delay between the data exchanged at the co-simulation step. The pure linear convergence property of the iterative method allows it to be accelerated towards the true solution by a non-intrusive Aitken's acceleration of the convergence post-processing, even if the domain decomposition interface conditions make the iterative method divergent. This provides a method less sensitive to the splitting. Numerical tests on a linear RLC circuit combining EMT and TS modeling are provided.