Modelling and control of multi-energy systems: An irreversible port-Hamiltonian approach

Authors

Hector Ramirez, Bernhard Maschke, Daniel Sbarbaro

Abstract

In recent work a class of quasi port Hamiltonian system expressing the first and second principle of thermodynamics as a structural property has been defined: Irreversible port-Hamiltonian system. These systems are very much like port-Hamiltonian systems but differ in that their structure matrices are modulated by a non-linear function that precisely expresses the irreversibility of the system. In a first instance irreversible port-Hamiltonian systems are extended to encompass coupled mechanical and thermodynamical systems, leading to the definition of reversible–irreversible port Hamiltonian systems. In a second instance, the formalism is used to suggest a class of passivity based controllers for thermodynamic systems based on interconnection and Casimir functions. However, the extension of the Casimir method to irreversible port-Hamiltonian systems is not so straightforward due to the “interconnection obstacle”. The heat exchanger, a gas-piston system and the non-isothermal CSTR are used to illustrate the formalism.

Keywords

Irreversible thermodynamics; Port-Hamiltonian system; Control; Multi-energy systems

Citation

Journal: European Journal of Control
Year: 2013
Volume: 19
Issue: 6
Pages: 513–520
Publisher: Elsevier BV
DOI: 10.1016/j.ejcon.2013.09.009
Note: Lagrangian and Hamiltonian Methods for Modelling and Control

BibTeX

@article{Ramirez_2013,
  title={{Modelling and control of multi-energy systems: An irreversible port-Hamiltonian approach}},
  volume={19},
  ISSN={0947-3580},
  DOI={10.1016/j.ejcon.2013.09.009},
  number={6},
  journal={European Journal of Control},
  publisher={Elsevier BV},
  author={Ramirez, Hector and Maschke, Bernhard and Sbarbaro, Daniel},
  year={2013},
  pages={513--520}
}

Download the bib file

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