Distributed port-Hamiltonian modelling for irreversible processes

W. Zhou, B. Hamroun, F. Couenne and Y. Le Gorrec

Mathematical and Computer Modelling of Dynamical Systems, 2017, vol. 23, issue 1, 3-22

Abstract: Infinite-dimensional port-Hamiltonian representation of irreversible processes accounting for the thermal energy domain is presented. Two examples are studied: the transmission line and a non-isothermal reaction diffusion process. The proposed approach uses thermodynamic variables in order to define the infinite-dimensional interconnection structure linking the different phenomena. A presentation is given for one-dimensional spatial domain. For the transmission line, the Hamiltonian is the total energy and for the reaction diffusion process it is the enthalpy or the opposite of entropy.

Date: 2017
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DOI: 10.1080/13873954.2016.1237970

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