Model order reduction techniques for linear differential-algebraic equations applied to semi-discretized eddy current model

The generation of reduced order models describing the input-output behavior of linear quasi-stationary electromagnetic field problems is of particular interest in numerous applications, for example, in the field of wireless power transfer. Especially when rigorous optimization strategies shall be applied which require a large number of function calls. This contribution demonstrates the construction of a differential-algebraic equation system to describe a given single-input single-output behavior of a two and three dimensional eddy current model which is essential for a broad range of model order reduction techniques. The description of the problem in terms of a differential-algebraic equation system furthermore allows an ease coupling of electric circuits.