Port-Hamiltonian formulation of nonlinear electrical circuits

JOURNAL OF GEOMETRY AND PHYSICS

卷:159

Article

Gernandt, H.¹  Haller, F. E.²  Reis, T.²  van der Schaft, A. J.³ 

[1] TU Ilmenau, Weimarer Str 25, D-98693 Ilmenau, Germany

[2] Univ Hamburg, Bundesstr 55, D-20146 Hamburg, Germany

[3] Univ Groningen, Bernoulli Inst Math CS & AI, Groningen, Netherlands

关键词: Port-Hamiltonian system;    Electrical circuit;    Graph;    Dirac structure;    Lagrangian submanifold;    Resistive relation;   

DOI  :  10.1016/j.geomphys.2020.103959

来源: Elsevier

【 摘 要 】

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 modeling approach with standard formulations of nonlinear electrical circuits. (c) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free