A structural analysis of field/circuit coupled problems based on a generalised circuit element (Q2287870)

This paper is concerned with the coupling of spatially distributed electromagnetic fields described by Maxwell's equations with electrical circuit models. Here the Maxwell's equations are considered under a magnetoquasistatic approximation, which leads to the so-called eddy current problem. To solve the eddy current problem, the authors consider both the \(A*\) and \(T-\Omega\) formulations. Both formulations coupled to the circuit modeling lead to a system of differential algebraic equations (DAEs). The numerical and analytical complexity of a system of DAEs is usually described by its differential index. To study the index of the coupled system, the authors introduce a new generalized element type, which eases the index analysis. Then they show that both the \(A*\) and \(T-\Omega\) formulation field-circuit coupling indices have an inductive behaviour. Finally, numerical results are presented to support their analysis.