Inverse method for operational control of canal systems
Tóm tắt
A non-linear explicit inverse solution method for the operational control of remotely controlled canal systems is presented. The model accounts for canal seepage, turnout flows (point sink), control structures with steeply varying and/or discontinuous discharge characteristics. The governing unsteady flow equations are solved backward both in space and time. For each space interval, the use of finite difference approximations for the operational problem results in a system of two non-linear equations in two unknowns. These equations are solved using Newton's method. The method is extended to canal networks. The canal junctions are classified into three types. The controllability of flow for each type of canal junction and for the network as a whole are discussed. The model, though explicit, is found to be unconditionally stable. The model results are verified with the unsteady flow simulation model based on non- linear Preissmen's scheme. The applicability of the model to a canal system is demonstrated.
Tài liệu tham khảo
Abbott M.B. 1979,Computational Hydraulics, Pitman Pub. Ltd., London.
Clemens A.J. & Replogle J.A. 1989,Control of Irrigation Canals, J Irrig. and Drain. Engrg., ASCE, 115(1): 96–110.
Contractor D.N. & Schuurmans W. 1993,Informed use and potential pitfalls of canal model, J Irrig. and Drain. Engrg., ASCE, 119(4): 663–673.
Gichuki F.N., Walker W.R. & Merkley G.P. 1990,Transient hydraulic model for simulating canal network operations, J if Irrig. and Drain. Engrg., ASCE, 116(1): 67–81.
Liggett J.A. & Cunge J.A. 1975, ‘Numerical methods of solution of the unsteady flow equations’,Unsteady flow in open channels, Vol. I, K. Mahmood & V. Yevjevich (eds) Water Resources Publications, Fort Collins, Colo.
Liu F, Feyen J. & Barlamount J. 1992,Computation method for regulating unsteady flow in open channels, J Irrig. and Drain. Engrg., ASCE, 118(10): 674–689.
Misra R. 1993,Analysis, Parameter Estimation and Operational Control of Canal Systems, thesis submitted for the award for Ph.D. degree of Indian Institute of Science Bangalore, 560 012, India.
Misra R, Sridharan K. & Mohan Kumar M.S. 1992,Transients in Canal Networks, J Irrig. and Drain. Engrg., ASCE.
Reddy J.M. 1990,Local Optimal Control of Irrigation Canals, J Irrig. and Drain. Engrg., ASCE, 116(5): 616–631.
Roddler M.G. & Bonet L. 1993,Control Method for on Demand Operation of Open Channel Flow, J Irrig. and Drain. Engrg., ASCE, 119(2): 225–241.
Swain E.D. & Chin D.A. 1990,Model of flow in regulated open channel network, J Irrig. and Drain. Engrg., ASCE, 117(4): 585–588.
The ASCE task committee on Irrigation Canal System Hydraulic Modeling, 1993,Unsteady Flow Modeling of Irrigation Canals, J Irrig. and Drain. Engrg., ASCE, 119(4): 615–631.
Tod I.C., Grismer M.E. & Wallender W.W. 1991,Measurement of Irrigation Flows through Irrigation Turnouts, J Irrig. and Drain. Engrg., ASCE, 117(4): 585–588.
Wachyan E. & Rushton K.R. 1987,Water Losses from Irrigation Canals, J Hydrology, 92: 275–288.
Wylie E. 1969,Control of Transients Free Surface Flows, J Hyd. Div., ASCE, 95(1): 347–361.