Optimum Design and Operation of Multiple Subunit Drip Irrigation Systems
Publication: Journal of Irrigation and Drainage Engineering
Volume 122, Issue 5
Abstract
A nonlinear model for the optimum design and operation of drip irrigation systems on flat terrain is presented in this paper. The analysis is based on dividing a field into subunits and evaluating various shift patterns and the corresponding pipe and pump sizes in order to identify a minimum cost solution. The decision variables are the lengths of two given pipe sizes for the laterals, the diameters of all other pipes, the size of pump, the area and dimensions of subunits, as well as the shift patterns and the irrigation time for each shift and set of subunits irrigated simultaneously. The optimization procedure involves a complete enumeration approach, which minimizes the sum of the capital cost of the system and the present value of operating costs. The model is applied to a case study of a level rectangular field supplied from a ground-water source at its center. The results obtained indicate that one shift operation is the most cost-effective provided the emitter flow rate is above a defined minimum level.
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References
1.
Alperovits, A., and Shamir, U.(1977). “Design of optimal water distribution systems.”Water Resour. Res., 13(6), 885–900.
2.
Dandy, G. C., Simpson, A. R., and Murphy, L. J. (1993). “A review of pipe network optimization techniques.”Proc., Watercomp '93, 2nd Australian Conf. on Tech. Computing in the Water Industry, Instn. of Engrs., Canberra, Australia.
3.
El-Bahrawy, A. N., and Smith, A. A.(1985). “Application of MINOS to water collection and distribution networks.”Civ. Engrg. Sys., 2(1), 38–49.
4.
Food and Agricultural Organization (FAO). (1984). “Crop water requirement.”Irrig. and Des. Paper, No. 24, Rome, Italy.
5.
Fujiwara, O., and Dey, D.(1987). “Method for optimal design of branched networks on flat terrain.”J. Envir. Engrg., ASCE, 114(6), 1464–1475.
6.
Gessler, J. (1982). “Optimization of pipe networks.”Proc., Int. Symp. on Urban Hydrol., Hydr. and Sediment Control, 165–171.
7.
Goulter, I. C.(1992). “Systems analysis in water-distribution network design: from theory to practice.”J. Water Resour. Plng. and Mgmt., ASCE, 118(3), 238–248.
8.
Gupta, I.(1969). “Linear programming analysis of a water supply system.”Trans. ASCE, 1(1), 56–61.
9.
Gupta, I., Hassan, M. Z., and Cook, J.(1972). “Linear programming analysis of a water supply system with multiple supply points.”Trans. ASCE, 94(3), 641–661.
10.
Hassanli, A. M., and Dandy, G. C. (1993). “Optimisation of drip irrigation systems.”Res. Rep. No. R106, Dept. of Civ. and Envir. Engrg., Univ. of Adelaide, Australia.
11.
Hassanli, A. M., and Dandy, G. C. (1994). “Optimum layout of pressure irrigation systems using the genetic algorithms.”Res. Rep. No. R123, Dept. of Civ. and Envir. Engrg., Univ. of Adelaide, Australia.
12.
Hassanli, A. M., and Dandy, G. C. (1995). “Least cost layout model for pressure irrigation systems using genetic algorithms.”Proc., Regional Conf. on Water Resour. Mgmt. (WRM'95), Dept. of Civ. Engrg., Isfahan Univ., Isfahan, Iran.
13.
Holzapfel, E. A., Marino, M. A., and Valenzuela, A.(1990). “Drip irrigation nonlinear optimization model.”J. Irrig. and Drain. Engrg., ASCE, 116(4), 479–496.
14.
Keller, J., and Karmeli, D.(1974). “Trickle irrigation design parameters.”Trans. ASAE, 17(4), 678–784.
15.
Karmeli, D., and Keller. (1975). Trickle irrigation design glendora, California: rain bird sprinkler manufacturing crops .
16.
Karmeli, D., and Oron, G. (1979). “Analysis of closed conduit irrigation systems and its subdivision.”J. Irrig. and Drain. Div., ASCE, 105(2).
17.
Karmeli, D., Gadish, Y., and Meyers, S.(1968). “Design of optimal water distribution network.”J. Pipeline Div., ASCE, 94(3), 6130.
18.
Karmeli, D., Peri, G., and Todes, M. (1985). Irrigation systems: design and operation, Oxford University Press, Cape Town, South Africa.
19.
Keller, J., and Bliesner, R. D. (1990). Sprinkle and trickle irrigation . Van Nostrand Reinhold, New York, N.Y.
20.
Loubser, B. F., and Gessler, J. (1990). “Computer-aided optimisation of water distribution networks.”The Civ. Engr. in South Africa, Johannesburg, South Africa, (Oct.), 413–422.
21.
Murphy, L. J., and Simpson, A. R. (1992). “Genetic algorithms in pipe network optimisation.”Res. Rep. No. R93, Dept. of Civ. Engrg., Univ. of Adelaide, Australia.
22.
Oron, G., and Karmeli, D.(1979). “Procedure for the economical evaluation of water networks parameters.”Water Resour. Bull., 15(4), 1050–1059.
23.
Oron, G., and Walker, W.(1981). “Optimal design and operation of permanent irrigation systems.”Water Resour. Res., 17(1), 11–17.
24.
Papazafiriou, Z. G.(1980). “A compact procedure for trickle irrigation system design.”ICID Bull., 29(1), 28–34.
25.
Perez, R., Martinez, F., and Vela, A.(1993). “Improved design of branched network by using pressure reducing valves.”J. Hydr. Engrg., 119(2), 169–179.
26.
Perold, R.(1974). “Economic pipe sizing in pumped irrigation system.”J. Irrig. and Drain. Div., ASCE, 100(4), 425–441.
27.
Pleban, S., Shacham, D., and Loftis, J.(1984). “Minimizing capital cost of multi-outlet pipelines.”J. Irrig. and Drain. Engrg., 110(2), 165–178.
28.
Quindry, G. E., Brill, E. D., and Liebman, J. C.(1981). “Optimisation of looped water distribution systems.”J. Envir. Engrg. Div., ASCE, 107(4), 665–679.
29.
Shamir, U.(1974). “Optimal design and operation of water distribution systems.”Water Resour. Res., 10(1), 27–36.
30.
Simpson, A. R., Dandy, G. C., and Murphy, L. J. (1994). “Genetic algorithms compared to other techniques for pipe optimisation.”J. Water Resour. Plng. and Mgmt., ASCE, 120(4).
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Copyright © 1996 American Society of Civil Engineers.
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Published online: Oct 1, 1996
Published in print: Oct 1996
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