Methodology for Optimal Operation of Pumping Stations in Water Distribution Systems
Publication: Journal of Hydraulic Engineering
Volume 117, Issue 11
Abstract
A methodology based on solving a large‐scale nonlinear programming problem is presented for the optimal operation of pumping stations in water distribution systems. Optimal operation refers to the scheduling of pump operation that results in the minimum operating cost for a given set of operating conditions. The mathematical model for pump operation is a large nonlinear programing problem. The methodology is based on an optimal control framework in which a nonlinear optimization model interfaces with a hydraulic simulation model, which is used to implicitly solve the conservation of flow and energy equations describing the hydraulics of flow in the optimization model. The methodology has been applied to a pressure zone of the Austin, Texas, water distribution system, showing how a reduction in operating costs could be accomplished using the simulation‐optimization model developed.
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References
1.
Bazaraa, M. S., and Shetty, C. M. (1979). Nonlinear programming: Theory and algorithms. John Wiley & Sons, Inc., New York, N.Y.
2.
Brion, L. M. (1990). “Methodology for optimal operation of pumping stations in water distribution systems,” thesis presented to the University of Texas, at Austin, Texas, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Carpentier, P., and Cohen, G. (1985). “Decomposition, coordination and aggregation in the optimal control of a large water supply network.” Proc. of the Ninth Triennial World Congress of IFAC, J. Gertler and L. Keviczky, eds., 6, Pergamon Press, Elmsford, N.Y., 3207–3212.
4.
Chase, D. V., and Ormsbee, L. E. (1989). “Optimal pump operation of water distribution system with multiple storage tanks.” Proc. Conf. on Water Resources Planning and Management, ASCE, New York, N.Y., 733–736.
5.
Cohen, G. (1982). “Optimal control of water supply networks.” Optimization and control of dynamic operational research models, S. G. Tzafestas, ed., 4, North‐Holland Publishing Company, Amsterdam, the Netherlands, 251–276.
6.
Coulbeck, B., and Orr, C. H. (1985). “Optimized pumping in water supply systems.” Proc. of the Ninth Triennial World Congress of IFAC, J. Gertler and L. Keviczky, eds., 6, Pergamon Press, Elmsford, N.Y., 3175–3180.
7.
Coulbeck, B., and Sterling, M. J. H. (1978). “Optimized control of water distribution systems.” IEEE Proc., 125(9), 1039–1044.
8.
Duan, N., Mays, L. W., and Lansey, K. E. (1990). “Optimal reliability‐based design and analysis of pumping systems for water distribution systems.” J. Hydr. Eng., ASCE, 116(2), 249–268.
9.
Fallside, F., and Perry, P. F. (1975). “Hierarchical optimization of water‐supply network.” IEEE Proc., 122(2), 202–208.
10.
Hsin, J. K. (1980). “The optimal control of deterministic econometric planning models,” thesis presented to the University of Texas, at Austin, Texas, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
11.
Joalland, G., and Cohen, G. (1980). “Optimal control of a water‐distribution network by two multilevel methods.” Automatica, 16, 83–88.
12.
Lansey, K. E., and Mays, L. W. (1989). “Optimization model for water distribution system design.” J. Hydr. Engrg., ASCE, 115(10), 1401–1418.
13.
Lasdon, L. S., and Waren, A. D. (1986). GRG2 user's guide. Department of General Business, The University of Texas, Austin, Tex.
14.
Luenberger, D. G. (1984). Linearandnonlinear programming. Second Ed., Addison‐Wesley Publishing Company, Inc., Reading, Mass.
15.
Ormsbee, L.E., Walski, T. M., Chase, D. V., and Sharp, W. W. (1987). “Techniques for improving energy efficiency at water supply pumping stations.” Tech. Report EL‐87‐16, Environmental Laboratory, U.S. Army Engineer Waterways Experiment Station, Vicksburg, Miss.
16.
Sabet, M. H., and Helweg, O. J. (1985). “Cost effective operation of urban water supply system using dynamic programming.” Water Resour. Bull, 21(1), 75–81.
17.
Solanas, J. L., and Montolio, J. M. (1987). “The optimum operation of water systems. "Int. Conf., Computer Applications for Water Supply and Distribution, Leicester Polytechnic, Leicester, England.
18.
Unver, O. I., and Mays, L. W. (1990). “Model for real‐time optimal flood control operation of a reservoir system.” Water Resour. Mgmt., Kluwer Academic Publishers, The Netherlands, 4, 21–46.
19.
Wanakule, N., Mays, L. W., and Lasdon, L. S. (1986). “Optimal management of large‐scale aquifers: Methodology and application.” Water Resour. Res., 22(4), 447–466.
20.
Wood, D. J. (1980). "Computer analysis of flow in pipe networks including extended period simulation‐user's manual.” Office of Engineering Continuing Education and Extension, University of Kentucky, Lexington, Ky.
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Copyright © 1991 ASCE.
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Published online: Nov 1, 1991
Published in print: Nov 1991
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