Distributed port-Hamiltonian modelling for irreversible processes

Authors

W. Zhou, B. Hamroun, F. Couenne, Y. Le Gorrec

Abstract

Infinite-dimensional port-Hamiltonian representation of irreversible processes accounting for the thermal energy domain is presented. Two examples are studied: the transmission line and a non-isothermal reaction diffusion process. The proposed approach uses thermodynamic variables in order to define the infinite-dimensional interconnection structure linking the different phenomena. A presentation is given for one-dimensional spatial domain. For the transmission line, the Hamiltonian is the total energy and for the reaction diffusion process it is the enthalpy or the opposite of entropy.

Citation

• Journal: Mathematical and Computer Modelling of Dynamical Systems
• Year: 2017
• Volume: 23
• Issue: 1
• Pages: 3–22
• Publisher: Informa UK Limited
• DOI: 10.1080/13873954.2016.1237970

BibTeX

@article{Zhou_2016,
  title={{Distributed port-Hamiltonian modelling for irreversible processes}},
  volume={23},
  ISSN={1744-5051},
  DOI={10.1080/13873954.2016.1237970},
  number={1},
  journal={Mathematical and Computer Modelling of Dynamical Systems},
  publisher={Informa UK Limited},
  author={Zhou, W. and Hamroun, B. and Couenne, F. and Le Gorrec, Y.},
  year={2016},
  pages={3--22}
}

Download the bib file

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