Optimal Operation of Water Distribution Systems
Publication: Journal of Water Resources Planning and Management
Volume 115, Issue 6
Abstract
Optimal operation of a water supply system is solved by progressive optimality (PO), an iterative dynamic programming (DP) method. Given the forecasted demands for the coming 24 hr, the initial and final conditions in the reservoirs, the hydraulic properties of all system components, and the variable energy cost over the day, an optimal schedule of pump operation is found. The algorithm cycles iteratively over the time steps (hours of the day) and network subsystems, and converges to the optimum from any (feasible or infeasible) initial solution. The global optimum is guaranteed only under certain conditions; otherwise a local optimum may be reached. The method is developed and demonstrated on a regional water supply system with eight reservoirs and seven pumping stations.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Carpentier, P., and Cohen, G. (1984). “Decomposition, coordination and aggregation in the optimal control of a large water supply network.” Proc., IFAC World Congress, Budapest, Hungary, July.
2.
Cohen, G. (1982). “Optimal control of water supply networks.” Optimization and control of Dynamic Operational Models, S. G. Tzafetas, ed., North Holland, 251–276.
3.
Computer Assisted Design of Water System Committee. (1984). “Network analysis survey—1984.” Presented at Amer. Water Works Assoc., Nat. Conf., Dallas, Tex., June.
4.
Coulbeck, B. (1977). “Optimization and modelling techniques in dynamic control of water distribution system.” Thesis presented to the University of Sheffield, at Sheffield, U.K., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
5.
Coulbeck, B. (1980). “Optimal operations in non‐linear water networks.” Optimal Control Methods and Applications, 1(2), 131–141.
6.
Coulbeck, B., and Sterling, M. J. H. (1978). “Optimal control of water distribution systems.” Proc. IEE, 125, 1039–1044.
7.
Dreizin, Y., et al. (1971). “Evaluation of energy savings in regional water systems.” Report 131.105, Mekorot Water Co., Apr. (in Hebrew).
8.
Fallside, F., and Perry, P. F. (1975). “Hierarchical optimization of a water‐supply network.” Proc. IEE, 122(2), 202–208.
9.
Gray, D. F. (1978). “Use of consumption predictors.” Tech. Report 4/78, Cambridge Univ. Engrg. Dept., Cambridge, U.K., Feb.
10.
Howson, H. R., and Sancho, N. G. F. (1975). “A new algorithm for the solution of multistate dynamic programming problems.” Mathematical Programming, 8(1), 104–116.
11.
Joalland, G., and Cohen, G. (1980). “Optimal control of a water distribution network by two multilevel methods.” Automatica, 16, 83–88.
12.
Marlow, K., and Fallside, F. (1980). “A planned strategy for telemetry at the water works.” Control and Instrumentation, Dec. 47–51.
13.
Moss, S. M. (1979). “On‐line optimal control of a water supply network.” Thesis presented to Cambridge University, at Cambridge, U.K., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
14.
Perry, P. F. (1975). “An on‐line optimal control scheme for water supply networks.” Thesis presented to Cambridge University, at Cambridge, U.K., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
15.
Shamir, U. (1979). “Optimization in water distribution systems engineering.” Mathematical Programming Study, North Holland, 11, 65–84.
16.
Shamir, U. (1981). “Real‐time control of water supply systems.” Proc., Int. Symp. on Real‐Time Operation of Hydrosystems, T. E. Unny and E. A. McBean, eds., Univ. of Waterloo, Waterloo, Canada, June, 550–562.
17.
Shamir, U. (1985). “Computer applications for real‐time operation of water distribution systems.” Computer applications in Water Resources, ASCE, H. Torno, ed., 379–390.
18.
Shimron, Z., and Shamir, U. (1973). “Short range forecasting of water demands.” Israel Journal of Technology, 11(6), 423–430.
19.
Sterling, M. J. H., and Coulbeck, B. (1975a). “Optimisation of water pumping costs by hierarchical methods.” Proc., Inst. of Civ. Engrs., 59, 789–797.
20.
Sterling, M. J. H., and Coulbeck, B. (1975b). “A dynamic programming solution to optimization of pumping costs.” Proc., Inst. of Civ. Engrs., 59, 813–818.
21.
Turgeon, A. (1981). “Optimal short‐term hydro scheduling from the principle of optimality.” Water Resour. Res., 17(3), 481–486.
22.
Velon, J. P., Cesario, A. L., and Shamir, U. (1984). “Network analysis of treated water systems.” Presented at Distribution Systems Conf. of Amer. Water Works Assoc., Syracuse, N.Y., Sept.
23.
Zessler, U. (1984). “Optimal on‐line control of regional water supply systems.” Thesis presented to Technion—Israel Institute of Technology, at Haifa, Israel, in partial fulfillment of the requirements for the degree of Master of Science.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 115 • Issue 6 • November 1989
Pages: 735 - 752
Copyright
Copyright © 1989 ASCE.
History
Published online: Nov 1, 1989
Published in print: Nov 1989
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.