English

Port-Hamiltonian formulation of nonlinear electrical circuits

Optimization and Control 2020-10-28 v1 Dynamical Systems

Abstract

We consider nonlinear electrical circuits for which we derive a port-Hamiltonian formulation. After recalling a framework for nonlinear port-Hamiltonian systems, we model each circuit component as an individual port-Hamiltonian system. The overall circuit model is then derived by considering a port-Hamiltonian interconnection of the components. We further compare this modelling approach with standard formulations of nonlinear electrical circuits

Keywords

Cite

@article{arxiv.2004.10821,
  title  = {Port-Hamiltonian formulation of nonlinear electrical circuits},
  author = {Hannes Gernandt and Frédéric Haller and Timo Reis Arjan van der Schaft},
  journal= {arXiv preprint arXiv:2004.10821},
  year   = {2020}
}