Conversion from Discharge to Gate Opening for the Control of Irrigation Canals
Publication: Journal of Irrigation and Drainage Engineering
Volume 134, Issue 3
Abstract
The paper reviews several methods to convert discharge into gate opening. A control algorithm for one or several reaches of an irrigation canal sometimes uses a discharge as the control action variable even though the device to be manipulated is a gate or a weir. In this case a slave controller has to convert the discharge into a gate opening or a sill elevation in the case of a weir. This is usually done by inverting the static relation between discharge and gate opening. An improved method can be based on the characteristics theory to estimate the deviations of the water levels. However, both methods underestimate the gate opening deviations required to deliver a desired discharge deviation, because water levels vary continuously over time when the gate is operated. The paper proposes a method to take into account this dynamic behavior of the pool-gate interaction by using a simple linear model for the pools’ dynamics, the integer delay zero model. The proposed method enables us to better estimate the gate opening necessary to get a desired average discharge. The method is evaluated in simulation and on a gate of the Gignac Canal, located in the South of France. A dimensionless analysis of the problem is finally performed to evaluate the methods’ applicability.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers acknowledge the financial help of Région Languedoc-Roussillon, Conseil Général de l’Hérault, Agence de l’Eau Rhône-Méditerranée-Corse and Cemagref through the “Plateforme expérimentale du canal de Gignac.” They also thank Vincent Kulesza, head of the ASA de Gignac, for his collaboration in the experiments.
References
Abramowitz, M., and Stegun, I. A. (1972). Handbook of mathematical functions, Applied Mathematics Series, 10th Ed., Vol. 55, National Bureau of Standards, Gaithersburg, Md.
Baume, J.-P., and Sau, J. (1997). “Study of irrigation canal dynamics for control purposes. Proc., Int. Workshop on the Regulation of Irrigation Canals, RIC’97, Cemagref Montpellier France, LAAS Toulouse France, Univ of Marrakech, Morroco, 3–12.
Baume, J.-P., Malaterre, P.-O., Belaud, G., and Le Guennec, B. (2005). “SIC: A 1D hydrodynamic model for river and irrigation canal modeling and regulation. Métodos Numéricos em Recursos Hidricos 7, Rui Carlos Vieira da Silva, ed., Associacao Brasileira de Recursos Hidricos (ABRH), Coppetec Fundacao, 1–87.
De Leon Mojarro, B. (1986). “Contribution à l’amélioration de la gestion des périmètres irrigués.” Ph.D. thesis, USTL, Montpellier, France.
Litrico, X., and Fromion, V. (2004a). “Frequency modeling of open channel flow.” J. Hydraul. Eng., 130(8), 806–815.
Litrico, X., and Fromion, V. (2004b). “Simplified modelling of irrigation canals for controller design.” J. Irrig. Drain. Eng., 130(5), 373–383.
Litrico, X., Malaterre, P.-O., Baume, J.-P., Vion, P.-Y., and Ribot-Bruno, J. (2007). “Automatic tuning of PI controllers for an irrigation canal pool.” J. Irrig. Drain. Eng., 133(1), 27–37.
Malaterre, P.-O. (1995). “Regulation of irrigation canals: Characterization and classification.” Irrig. Drain. Syst., 9(4), 297–327.
Malaterre, P.-O. (2006). “SIC 4.20: Simulation of irrigation canals.” http://canari.montpellier.cemagref.fr/ (March 31, 2008).
Malaterre, P.-O., and Baume, J.-P. (1999). “Optimum choice of control action variables and linked algorithms. Comparison of different alternatives.” Workshop on Modernization of Irrigation Water Delivery Systems, Phoenix, USCID, Denver, 387–406.
Malaterre, P.-O., Rogers, D. C., and Schuurmans, J. (1998). “Classification of canal control algorithms.” J. Irrig. Drain. Eng., 124(1), 3–10.
Schuurmans, J. (1997). “Control of water levels in open-channels.” Ph.D. thesis, Delft Univ. of Technology, Delft, The Netherlands.
Information & Authors
Information
Published In
Copyright
© 2008 ASCE.
History
Received: Feb 19, 2007
Accepted: May 11, 2007
Published online: Jun 1, 2008
Published in print: Jun 2008
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.