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Saint-Venant reduced order model for water level control in open channels

Abstract : Water level control in open channels used forhydroelectric production is adressed in this paper. In orderto use classical methods of controller design, a new reducedorder model based on Saint-Venant equations is proposed. Itis derived from irrational transfer functions developed withthe WKB method for any non-uniform subcritical flow regime.The reduced model captures the first two modes. A comparisonof open-loop simulations with the proposed 5th order plusdelay transfer functions and with numerical non linear modelis performed. The inputs of the simulations are given byon-site measurements to show the accuracy of the model inrealistic conditions. Based on the resulting model, a robusttuning of controller is developed. It consists of a two-degree-offreedomproportional integral controller. Time domain scenariiare shown to illustrate the closed-loop performance.
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Contributor : Gildas Besancon Connect in order to contact the contributor
Submitted on : Friday, January 11, 2019 - 4:44:28 PM
Last modification on : Wednesday, November 3, 2021 - 5:08:06 AM


  • HAL Id : hal-01978701, version 1



Violaine Dalmas, Gérard Robert, Gildas Besancon, Didier Georges. Saint-Venant reduced order model for water level control in open channels. CDC 2018 - 57th IEEE Conference on Decision and Control, Dec 2018, Miami, FL, United States. ⟨hal-01978701⟩



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