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.
@article{arxiv.2108.05106,
title = {An Energy-based, always Index $\le1$ and Structurally Amenable Electrical Circuit Model},
author = {Nedialko Nedialkov and John D. Pryce and Lena Scholz},
journal= {arXiv preprint arXiv:2108.05106},
year = {2021}
}