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