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

An Energy-based, always Index $\le1$ and Structurally Amenable Electrical Circuit Model