Current Science

Open Access Open Access  Restricted Access Subscription Access

Control of an Irrigation Branch Canal using Model Predictive Controller


Affiliations
1 Saveetha Engineering College, Anna University, Chennai 602 105, India
2 Centre for Water Resources, Anna University, Chennai 600 025, India
3 Smarta Opti Solutions, Chennai 600 073, India
4 Public Works Department, Coimbatore 641 001, India
 

Sustainable use of the available water resource is an important challenge for food security. An irrigation canal system consists of a number of pools connected to each other by control structures. Unsteady flow Saint-Venant equations are used to model the flow in the canal system and these equations are solved using implicit finite difference methods. The canal system is represented as linear time invariant system and the resulting equations are the dynamic equations in state space form. These linearized equations are modelled in Matlab® environment. The control strategy adopted in this research is the downstream control method of operation and the control structures adopted are radial gates and modified radial gates. The unsteady flow model is applied to the chosen study area and the results obtained from the model are used to simulate the dynamics of the canal system using model predictive controller toolbox. The results show that any closed loop controller will work efficiently with the hydraulic model developed.

Keywords

Finite Difference, Irrigation Channels, Linear Time Invariant, Model Predictive Controller, Unsteady Flow.
User
Notifications
Font Size

  • van Overloop, P. J., Clemmens, A. J., Strand, R. J., Wagemaker, R. M. J. and Bautista, E., Real-time implementation of model predictive control on Maricopa-Stanfield irrigation and drainage district’s WM canal. J. Irrig. Drain. Eng., 2010; https://doi.org/ 10.1061/(ASCE)IR.1943-4774.0000256.

  • Wahlin, B. T. and Clemmens, A. J., Automatic downstream water-level feedback control of branching canal networks: theory. J. Irrig.Drain. Eng., 2006; https://doi.org/10.1061/(ASCE)0733-9437(2006)132:3(198).

  • Malaterre, P. O. and Baume, J. P., Modeling and regulation of irrigation canals: existing applications and ongoing researches. In Systems, Man, and Cybernetics. IEEE Int. Conf., 1998, 4, 3850–3855.

  • Clemmens, A. J., Kacerek, T. F., Grawitz, B. and Schuurmans, W., Test cases for canal control algorithms. J. Irrig. Drain. Eng., 1998; https://doi.org/10.1061/(ASCE)0733-9437(2006)132:3(198).

  • Balogun, O. S., Hubbard, M. and De Vries, J. J., Automatic control of canal flow using linear quadratic regulator theory. J. Hydraul. Eng., 1998; https://doi.org/10.1061/(ASCE)0733-9429(1988)114:1(75).

  • Reddy, J. M., Local optimal control of irrigation canals. J. Irrig. Drain. Eng., 1990; https://doi.org/10.1061/(ASCE)0733-437-(1990)116:5(616).

  • Seatzu, C., Design and robustness analysis of decentralized constant volume-control for open-channels. Appl. Math. Model., 1999; https://doi.org/10.1016/S0307-904X(98)10094-X.

  • Seatzu, C., Decentralized controllers design for open-channel hydraulic systems via eigen structure assignment. Appl. Math. Model., 2000; https://doi.org/10.1016/S0307-904X(00)00025-1.

  • Seatzu, C. and Usai, G., A decentralized volume variations observer for open channels. Appl. Math. Model., 2002; https://doi.org/10.1016/S0307-904X(02)00055-0.

  • Qing-Song, Q. and Yang, K. L., Modeling unsteady open-channel flow for controller design. J. Irrig. Drain. Eng., 2010; https://doi.org/10.1061/(ASCE)IR.1943-4774.

  • Litrico, X. and Fromion, V., Simplified modeling of irrigation canals for controller design. J. Irrig. Drain. Eng., 2004; https://doi.org/10.1061/(ASCE)0733-9437(2004)130:5(373).

  • Litrico, X., Fromion, V., Baume, J. P., Arranja, C. and Rijo, M., Experimental validation of a methodology to control irrigation canals based on Saint-Venant equations. Control Eng. Pract., 2005; https://doi.org/10.1016/j.conengprac.2004.12.010.

  • van Overloop, P. J., Model predictive control on open water systems. PhD thesis, Technical University, Delft, The Netherlands, 2006.

  • Sepúlveda, C., Instrumentation, Model identification and Control of an Experimental Irrigation canal. PhD thesis, Universitat Politècnica de Catalunya, Barcelona Tech, Barcelona, Spain, 2007.

  • Weyer, E., Decentralised PI control of an open water channel. IFAC Proc., 2002, 35(1), 95–100.

  • Ooi, S. K. and Weyer, E., Control design for an irrigation channel from physical data. Control Eng. Pract., 2008, https://doi.org/10.1016/j.conengprac.2008.01.004.

  • Horváth, K., Galvis, E., Valentín, M. G. and Rodellar, J. B., Is it better to use gate opening as control variable than discharge to control irrigation canals? J. Irrig. Drain. Eng., 2015; https://doi.org/10.1061/(ASCE)IR.1943-4774.0000798.

  • Xu, M., Model predictive control of an irrigation canal using dynamic target trajectory. J. Irrig. Drain. Eng., 2016, 143(3), B4016004.

  • Menon, J. and Mudgal, B. V., Experimental determination of contraction coefficient and velocity coefficient for radial gates with elliptical lips. Sadhana-Acad Proc. Eng. Sci., 2018; https://doi.org/10.1007/s12046- 018-0818-x.

  • Chaudhry, M. H., Open-channel flow, Springer Science and Business Media, 2007, pp. 333–339.

  • Buyalski, C. P., Ehler, D. G., Falvey, H. T., Rogers, D. C. and Serfozo, E. A., Canal Systems Automation Manual: Volume 1, United States Department of the Interior, Bureau of Reclamation, 1991.

  • Bemporad, A., Manfred, M. and Lawrence, R. N., Model Predictive Control Toolbox 3 User's Guide, The Mathworks, 2010.

  • Speerli, J. and Hager, W. H., Irrotational flow and real fluid effects under planer gates. J. Hydraul. Eng., 1999; https://doi.org/10.1061/(ASCE)0733- 9429(1999)125:2(208).


Abstract Views: 345

PDF Views: 136




  • Control of an Irrigation Branch Canal using Model Predictive Controller

Abstract Views: 345  |  PDF Views: 136

Authors

Jailakshmi Menon
Saveetha Engineering College, Anna University, Chennai 602 105, India
B. V. Mudgal
Centre for Water Resources, Anna University, Chennai 600 025, India
M. Guruprasath
Smarta Opti Solutions, Chennai 600 073, India
S. Sivalingam
Public Works Department, Coimbatore 641 001, India

Abstract


Sustainable use of the available water resource is an important challenge for food security. An irrigation canal system consists of a number of pools connected to each other by control structures. Unsteady flow Saint-Venant equations are used to model the flow in the canal system and these equations are solved using implicit finite difference methods. The canal system is represented as linear time invariant system and the resulting equations are the dynamic equations in state space form. These linearized equations are modelled in Matlab® environment. The control strategy adopted in this research is the downstream control method of operation and the control structures adopted are radial gates and modified radial gates. The unsteady flow model is applied to the chosen study area and the results obtained from the model are used to simulate the dynamics of the canal system using model predictive controller toolbox. The results show that any closed loop controller will work efficiently with the hydraulic model developed.

Keywords


Finite Difference, Irrigation Channels, Linear Time Invariant, Model Predictive Controller, Unsteady Flow.

References





DOI: https://doi.org/10.18520/cs%2Fv118%2Fi8%2F1255-1264