Modal Decomposition in Numerical Computation of Eddy Current Transients

TL;DR

This paper introduces a modal decomposition method for simulating eddy current transients that significantly reduces computational costs, especially in large-scale problems, by leveraging parallel computing and an efficient integration algorithm.

Contribution

It presents a novel modal decomposition approach applicable to large eddy current problems, improving computational efficiency over classical methods like Cholesky factorization.

Findings

The proposed method is much faster than classical approaches for large problems.

It effectively handles injected currents in conducting domains.

Performance is validated on a case with over 100,000 unknowns and 100,000 time steps.

Abstract

A methodology to reduce the computational cost of time domain computations of eddy currents problems is proposed and implemented in a parallel computing environment. It is based on the modal decomposition of the current density and it is applicable even in presence of injected currents into the electrodes of a conducting domain. Using a theta-method integration algorithm, the performances of the the proposed approach are compared against those of a classical method based on the Cholesky factorization, for a case of interest from eddy current nondestructive testing. For this large eddy current problem (number of unknowns greater than 100k, number of time steps of interest equal to 100k) the proposed solution method is shown to be much faster than those based on standard time integration schemes.