Optimization Model for Water Distribution System Design
Publication: Journal of Hydraulic Engineering
Volume 115, Issue 10
Abstract
A new methodology is developed for determining the optimal (minium‐cost) design of water distribution systems. The components that can be sized are the pipe network, pumps or pump station, and tanks. In addition, the optimal settings for control and pressure‐reducing valves can be determined. This methodology couples nonlinear programming techniques with existing water distribution simulation models. Previous methodologies have typically simplified the system hydraulics to be able to solve the optimization problem. This new methodology retains the generality of the hydraulic simulation model so that the problem is only limited by the ability of the simulation model rather than the optimization model. The methodology uses a generalized reduced gradient model to solve a problem that is reduced in size and complexity by implicitly solving the conservation of mass and energy equations using the hydraulic simulator and an augmented Lagrangian approach to incorporate pressure head bounds in the objective function. Since the network equations are solved implicitly any number of demand patterns can be considered, including steady state loads, extended period simulations, or both.
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References
1.
Alperovits, E., and U., Shamir, (1977). “Design of optimal distribution systems.” Water Resour. Res., 13(6), 885–900.
2.
Featherstone, R., and El‐Jumaily, K. (1983). “Optimal diameter selection for pipe networks.” J. Hydr. Engrg., ASCE, 109(2), 221–233.
3.
Fletcher, R. (1975). “An ideal penalty function for constrained optimization.” J. Inst. Math., and Its Appl., London, England, 15, 317–322.
4.
Fujiwara, O., and Dey, D. (1987). “Two adjacent pipe diameters at the optimal solution in the water distribution network models.” Water Resour. Res., 23(8), 1457–1460.
5.
Gessler, J., and Walski, T. M. (1985). “Water distribution system optimization.” Tech. Report EL‐85‐11, U.S. Army Engr., Waterways Experiment Station, Vicksburg, Miss.
6.
Hsin, J. K. (1980). “The optimal control of deterministic econometric planning models.” Dissertation, Dept. of General Business, Univ. of Texas, Austin, Tex.
7.
Lansey, K. E. (1987). “Optimal design of large scale water distribution systems under multiple loading conditions,” thesis presented to the University of Texas, at Austin, Tex., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
8.
Lasdon, L. S., et al. (1982). “Optimal management of oil and gas reservoirs.” Int. Report No. 81/82‐3‐4, Dept. of General Business, Univ. of Texas, Austin, Tex.
9.
Lasdon, L. S., and Mantell, J. (1978). “A GRG algorithm for econometric control problems.” Annals of Econ. and Social Measurement, 6(5).
10.
Landon, L. S., and Waren, A. (1983). “GRG2 user's guide. Dept. of General Business, Univ. of Texas, Austin, Tex.
11.
Methodology for areawide planning studies. (1980). Engr. Manual 1110‐2‐502, U.S. Army Corps of Engineers, Washington, D.C.
12.
Morgan, D. R., and Goulter, I. (1985). “Optimal urban water distribution design.” Water Resour. Res., 21(5), 642–652.
13.
Norman, A. L., Lasdon, L. S., and Hsin, J. K. (1982). “A comparison of methods for solving and optimizing a large nonlinear econometric model.” Discussion Paper, Ctr. for Econ. Res., Univ. of Texas, Austin, Tex.
14.
Powell, M. J. (1978). “Algorithms for nonlinear constraints that use Lagrangian functions.” Math. Programming, 14(2), 224–248.
15.
Quindry, G. E., Brill, E. D., and Liebman, J. C. (1981). “Optimizatioin of Looped Water Distribution Systems.” J. Environ. Engrg., ASCE, 107(4), 665–679.
16.
Templeman, B. (1982). “Discussion of “Optimization of looped water distribution systems” by Quindry et al.,” J. Envir. Engrg., ASCE, 108(3), 599–602.
17.
Walski, T., et al. (1987). “The battle of the network models: Epilogue.” J. Water Resour. Plng. and Mgmt., ASCE, 113(2), 191–203.
18.
Wanakule, N., Mays, L. W., and Lasdon, L. S. (1988). “Optimal management of large‐scale aquifers: Methodology and applications.” Water Resour. Res., 22(4), 447–466.
19.
Wood, Don. J. (1980). Computer analysis of flow in pipe networks including extended period simulation—user's manual. Office of Engrg. Continuing Education and Extension, Univ. of Kentucky, Lexington, Ky.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 115 • Issue 10 • October 1989
Pages: 1401 - 1418
Copyright
Copyright © 1989 ASCE.
History
Published online: Oct 1, 1989
Published in print: Oct 1989
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