An Energy-based, always Index ≤1 and Structurally Amenable Electrical Circuit Model

08/11/2021

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by   Nedialko Nedialkov, et al.

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Combining three themes: port-Hamiltonian energy-based modelling, structural analysis as used in the circuit world, and structural analysis of general differential-algebraic equations, we form a new model for electrical circuits, the compact port-Hamiltonian equations. They have remarkable simplicity and symmetry, and always have index at most 1 and other good numerical properties. The method has been implemented in Matlab. We give proofs and numerical results.