Port-Based modelling for open channel irrigation systems

Abstract : A port-based model for the water flow and level dynamics in open channel systems is derived. It is structured into dissipative and conservative sub-systems related through a symplectic geometric structure which expresses instantaneous power conservation. This model is equivalent to the classical Saint-Venant equations (nonlinear PDEs also called shallow water equations) but trivially exhibits some interesting properties (passivity, stability, stored energy, entropy production) which may be useful for analysis or control purposes. The use of a geometric reduction leads to a reduced port-controlled hamiltonian (PCH) system. A Comparison between simulation results and experimental ones, obtained on an experimental micro-channel, demonstrates the effectiveness of the reduced model.
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Contributor : Eduardo Mendes <>
Submitted on : Sunday, December 9, 2007 - 10:41:47 PM
Last modification on : Saturday, April 13, 2019 - 1:34:29 AM


  • HAL Id : hal-00195129, version 1



Boussad Hamroun, Laurent Lefèvre, Eduardo Mendes. Port-Based modelling for open channel irrigation systems. WSEAS, 2nd IASME Int. Conf. on Water Resources, Hydraulics & Hydrology, May 2007, Portorose, Slovenia. pp 182-187. ⟨hal-00195129⟩



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