English

A compact, structural analysis amenable, port-Hamiltonian circuit analysis

Numerical Analysis 2020-06-09 v2 Numerical Analysis

Abstract

This article presents a simple port-Hamiltonian formulation of the equations for an RLC electric circuit as a differential-algebraic equation system, and a proof that structural analysis always succeeds on it for a well-posed circuit, thus providing a correct regularisation for numerical solution. The DAE is small - its number of variables/equations is at most the number of edges in the circuit graph.

Keywords

Cite

@article{arxiv.2006.02885,
  title  = {A compact, structural analysis amenable, port-Hamiltonian circuit analysis},
  author = {John D. Pryce},
  journal= {arXiv preprint arXiv:2006.02885},
  year   = {2020}
}

Comments

9 pages

R2 v1 2026-06-23T16:03:29.835Z