Pressure Control for Liquid-Vapor Systems far from Thermodynamic Equilibrium
(2020) Industrial & Engineering Chemistry Research — Vol. 59, n° 6, p. 2252-2260 (2019)
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- Authors
Dochain, Denis 
- Abstract
- In this paper, we investigate the stability analysis and the feedback stabilization design problem for multiphase chemical systems using the formalism of non-equilibrium thermodynamics. We first present a compartmental model for multiphase systems far from thermodynamic equilibrium. The modelling framework allows to describe irreversible multiphase systems as a differential-algebraic (DAE) system of equations. The differential part of the model corresponds to macroscopic balance equations. The algebraic system of equations physically represents the interface as a thermodynamic subsystem that occurs between bulk phases. Integrating the DAE model is equivalent to fix the degrees of freedom prescribed by Gibbs phase rule. A linear stability analysis and numerical simulations for the resulting differential-algebraic model are presented. As a side result, we stabilize the system by introducing a pressure controller using the proposed modelling framework.
- Affiliations
Citations
Romo-Hernandez, R., Hudon, N., Ydstie, E., & Dochain, D. (2020). Pressure Control for Liquid-Vapor Systems far from Thermodynamic Equilibrium. Industrial & Engineering Chemistry Research, 59(6), 2252-2260. https://hdl.handle.net/2078.5/170008 (Original work published 2019)