Abstract
Model predictive control (MPC) has been extensively studied for controlling irrigation canals. Most of the studies use lumped models and fixed target for the controller. This setup works fine if the water delivery is on demand. However, in the case of on-supply delivery, balancing mismatches between demand and supply and spreading mismatches among all users are crucial. A fixed control target will not meet the request due to the mismatches. In this paper, a dynamic target trajectory approach is proposed to calculate changes of control targets that are used by MPC. The dynamic target trajectory calculates the percentage change of each setpoint based on the total volume mismatch spreading over the available capacity in each canal pool. The approach is applied to the Central Main Canal in Arizona. The results demonstrate that the dynamic trajectory can help the optimization find the optimum more quickly and facilitate tuning of the controller. Moreover, the mismatches can be better distributed over canal pools.
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Acknowledgments
This research was supervised by Dr. Peter-Jules van Overloop (1969–2015) from Delft University of Technology, the Netherlands, and was denoted to memorialize his contributions in the field of canal automation.
References
Blanco, T. B., Willems, P., Chiang, P. K., Haverbeke, N., Berlamont, J., and De Moor, B. (2010). “Flood regulation using nonlinear model predictive control.” Control Eng. Pract., 18(10), 1147–1157.
Brian, W. T., and Clemmens, A. J. (2006). “Automatic downstream water-level feedback control of branching canal networks: Theory.” J. Irrig. Drain. Eng., 198–207.
Burt, C. M., Mills, R. S., and Khalsa, R. D. (1998). “Improved proportional-integral (PI) logic for canal automation.” J. Irrig. Drain. Eng., 53–57.
Camacho, E. F., and Alba, C. B. (2013). Model predictive control, Springer Science and Business Media, London.
Clemmens, A. J., and Schuurmans, J. (2004). “Simple optimal downstream feedback canal controllers: Theory.” J. Irrig. Drain. Eng., 26–34.
Delft Hydraulics. (2004). Sobek user guide and technical reference manual, Delft, Netherlands.
Fletcher, R. (2013). Practical methods of optimization, Wiley, Chichester, U.K.
Google Maps. (2016). 〈maps.google.com〉 (May 19, 2016).
Litrico, X., Fromion, V., Baume, J. P., and Rijo, M. (2003). “Modelling and PI control of an irrigation canal.” Proc., European Control Conf., IEEE, Piscataway, NJ, 850–855.
Rogers, D. C., and Goussard, J. (1998). “Canal control algorithms currently in use.” J. Irrig. Drain. Eng., 11–15.
Schuurmans, J., Bosgra, O. H., and Brouwer, R. (1995). “Open-channel flow model approximation for controller design.” Appl. Math. Modell., 19(9), 525–530.
Schuurmans, J., Hof, A., Dijkstra, S., Bosgra, O. H., and Brouwer, R. (1999). “Simple water level controller for irrigation and drainage canals.” J. Irrig. Drain. Eng., 189–195.
Schuurmans, J., Schuurmans, W., Berger, H., Meulenberg, M., and Brouwer, R. (1997). “Control of water levels in the Meuse River.” J. Irrig. Drain. Eng., 180–184.
Schwanenberg, D., Xu, M., Ochterbeck, T., Allen, C., and Karimanzira, D. (2014). “Short-term management of hydropower assets of the Federal Columbia River power system.” J. Appl. Water Eng. Res., 2(1), 25–32.
Tian, X., van Overloop, P. J., Negenborn, R. R., and van de Giesen, N. (2015). “Operational flood control of a low-lying delta system using large time step model predictive control.” Adv. Water Resour., 75, 1–13.
van Overloop, P. J. (2006). Model predictive control on open water systems, IOS Press, Amsterdam, Netherlands.
van Overloop, P. J., Schuurmans, J., Brouwer, R., and Burt, C. M. (2005). “Multiple-model optimization of proportional integral controllers on canals.” J. Irrig. Drain. Eng., 190–196.
Xu, M., van Overloop, P. J., van De Giesen, N., and Stelling, G. (2010). “Real-time control of combined surface water quantity and quality: Polder flushing.” Water Sci. Technol., 61(4), 869–878.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 143 • Issue 3 • March 2017
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jul 20, 2015
Accepted: Apr 18, 2016
Published online: Jul 12, 2016
Discussion open until: Dec 12, 2016
Published in print: Mar 1, 2017
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