A magnetic oriented approach to the systematic coupling of field and circuit equations

TL;DR

This paper introduces a new method for coupling field and circuit equations in power device modeling, emphasizing energy conservation and structure preservation, with demonstrated numerical results.

Contribution

It presents a novel geometric approach to coupling field and circuit equations that maintains power balance and can be extended to nonlinear models.

Findings

Explicit energy-preserving structure in coupled equations

Numerical results validate the theoretical approach

Applicable to both linear and nonlinear models

Abstract

A novel strategy is proposed for the coupling of field and circuit equations when modeling power devices in the low-frequency regime. The resulting systems of differential-algebraic equations have a particular geometric structure which explicitly encodes the energy storage, dissipation, and transfer mechanisms. This implies a power balance on the continuous level which can be preserved under appropriate discretization in space and time. The models and main results are presented in detail for linear constitutive models, but the extension to nonlinear elements and more general coupling mechanisms is possible. The theoretical findings are demonstrated by numerical results.