Infinite Dimensional Port Hamiltonian Representation of Chemical Reactors

Weijun Zhou (1) , Boussag Hamroun (1) , Yann Le Gorrec (2) , Françoise Couenne (1)

1 LAGEP - Laboratoire d'automatique et de génie des procédés
2 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

Infinite dimensional Port Hamiltonian representation of non isothermal chemical reactors is proposed in the case of mass transport diffusion and chemical reaction without convection. The proposed approach uses thermodynamic variables. The presentation is given for one dimensional spatial domain by using the internal energy and the opposite of the entropy as hamiltonian functions.

Mots clés: Port Hamiltonian systems; distributed systems; irreversible thermodynamics.; irreversible thermodynamics

Domaines: Micro et nanotechnologies/Microélectronique

Weijun Zhou, Boussag Hamroun, Yann Le Gorrec, Françoise Couenne. Infinite Dimensional Port Hamiltonian Representation of Chemical Reactors. 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control, LHMNLC'12., Aug 2012, Bertinoro, Italy. pp.1-6. ⟨hal-00803504⟩