Stability analysis and passivity properties of a class of thermodynamic processes: An internal entropy production approach

Authors

J.P. García-Sandoval, N. Hudon, D. Dochain, V. González-Álvarez

Abstract

In this contribution, stability and passivity properties of a class of thermodynamic processes are addressed from a thermodynamical point of view. These thermodynamic processes can be constituted by multiple spatially homogeneous dynamic subsystems modeled by ordinary differential equations. It is shown that the internal entropy production may be used as a Lyapunov function candidate to prove the isolated system stability properties and as a storage function to assess the passivity properties when the system interacts with the surroundings. In addition, it is shown that the stability condition depends on a matrix whose dimension is equal to the number of modeled dynamical phenomena taking place within the system, i.e. the number of phenomena can be smaller than the system dimension. Moreover, a port-controlled Hamiltonian representation of this class of systems based on the internal entropy production is developed. Finally, the theory proposed is applied to three study cases: a heat exchanger, a ideal gas adiabatic chemical reactor and a ideal gas jacketed chemical reactor.

Keywords

internal entropy production, passivity, port-controlled hamiltonian systems, stability, thermodynamics

Citation

• Journal: Chemical Engineering Science
• Year: 2016
• Volume: 139
• Issue:
• Pages: 261–272
• Publisher: Elsevier BV
• DOI: 10.1016/j.ces.2015.07.039

BibTeX

@article{Garc_a_Sandoval_2016,
  title={{Stability analysis and passivity properties of a class of thermodynamic processes: An internal entropy production approach}},
  volume={139},
  ISSN={0009-2509},
  DOI={10.1016/j.ces.2015.07.039},
  journal={Chemical Engineering Science},
  publisher={Elsevier BV},
  author={García-Sandoval, J.P. and Hudon, N. and Dochain, D. and González-Álvarez, V.},
  year={2016},
  pages={261--272}
}

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