Efficient Simulation of Field/Circuit Coupled Systems with Parallelised Waveform Relaxation

TL;DR

This paper introduces a parallel-in-time waveform relaxation method combined with parareal techniques to efficiently simulate coupled field and circuit systems, significantly accelerating computations through time-parallelisation.

Contribution

It presents a novel parallelised waveform relaxation approach integrated with parareal and micro-macro techniques for faster field/circuit co-simulation.

Findings

Achieved increased computational speed with parallel-in-time methods.

Validated approach on a transformer-circuit model.

Demonstrated effectiveness of lumped models in micro-macro parareal.

Abstract

This paper proposes an efficient parallelised computation of field/circuit coupled systems co-simulated with the Waveform Relaxation (WR) technique. The main idea of the introduced approach lies in application of the parallel-in-time method parareal to the WR framework. Acceleration obtained by the time-parallelisation is further increased in the context of micro-macro parareal. Here, the field system is replaced by a lumped model in the circuit environment for the sequential computations of parareal. The introduced algorithm is tested with a model of a single-phase isolation transformer coupled to a rectifier circuit.