A Two-Step Method Coupling Eddy Currents and Magneto-Statics

TL;DR

This paper introduces a two-step numerical method that efficiently models eddy-current effects in a specific part of a domain by coupling it with a magneto-static model, validated through numerical experiments.

Contribution

The paper develops and validates a novel two-step approach for coupling eddy-current and magneto-static models in a heterogeneous domain.

Findings

Validated the numerical formulation with simulations.

Demonstrated effective coupling of eddy-current and magneto-static models.

Showed the method's potential for domain-specific eddy-current analysis.

Abstract

We present the mathematical theory and its numerical validation of a method tailored to include eddy-current effects only in a part of the domain. This results in a heterogeneous problem combining an eddy-current model in a subset of the computational domain with a magneto-static model in the remainder of the domain. We adopt a two-domain two-step approach in which the primary variables of the problem are the electric scalar potential and the magnetic vector potential. We show numerical results that validate the formulation.