From Brayton-Moser formulation to Port Hamiltonian representation : the CSTR case study.

N.H. Hoang (1) , Françoise Couenne (1) , Denis Dochain (2) , Yann Le Gorrec (3)

1 LAGEP - Laboratoire d'automatique et de génie des procédés
2 CESAME - Centre for systems engineering and applied mechanics [Louvain]
3 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

This paper shows that any thermodynamic variable ful lling some stability criterion can be used as Hamiltonian for pseudo hamiltonian representation of a non isothermal Continuous Stirred Tank Reactor (CSTR) model. More precisely it is shown that from Brayton- Moser formulation is obtained some port hamiltonian representation with negative dissipation. This result is shown for reaction A !B.

Mots clés: Irreversible thermodynamics; CSTR; Port Hamiltonian systems; Brayton-Moser formulation; passivity.; passivity

Domaines: Micro et nanotechnologies/Microélectronique

N.H. Hoang, Françoise Couenne, Denis Dochain, Yann Le Gorrec. From Brayton-Moser formulation to Port Hamiltonian representation : the CSTR case study.. 18th World Congress of the International Federation of Automatic Control, IFAC'12., Aug 2011, Milan, Italy. pp.1628-1635. ⟨hal-00720335⟩