Optimal Valve Control in Water‐Distribution Networks
Publication: Journal of Water Resources Planning and Management
Volume 116, Issue 4
Abstract
The paper concerns the problem of minimization or leakage in water‐distributed networks. It has been reported that leakage from some networks may account for a significant amount of the water put into supply. For some aging urban networks, rates of up to 50% have been quoted, with average rates of 25% being quite typical. These high rates of leakage represent a significant economic loss. An algorithm for the determination of flow control valve settings to minimize leakage is presented. The nonlinear network equations describing nodal heads and pipe‐flows are augmented by terms that explicitly account for pressure‐dependent leakage and by terms that model the effect of valve actions. Successive linearization of these equations using the linear‐theory method allows a linear program that minimizes leakage to be formulated and solved. The performance of the method is demonstrated by application to an example network.
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References
1.
Bargiela, A. (1984). “On‐line monitoring of water distribution systems,” thesis presented to the University of Durham, at Durham, United Kingdom, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
2.
Bessey, S. G. (1985a). “Some developments in pressure reduction.” J. Inst. of Water Engineers, 39(6), 501–505.
3.
Bessey, S. G. (1985b). “Progress in pressure control.” Aqua, Vol. 6, 325–330.
4.
Cross, H. (1936). “Analysis of flow in networks of conduits or conductors.” Bulletin No. 286, Univ. of Illinois Engineering, Experimental Station, Urbana, Ill.
5.
Germanopoulos, G. (1985). “A technical note on the inclusion of pressure dependent demand and leakage terms in water supply network models.” Civ. Engrg. Systems, 2(3), 171–179.
6.
Germanopoulos, G. (1988). “Modelling and operational control of water supply networks,” thesis presented to the University of London, at London, United Kingdom, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
7.
Germanopoulos, G., and Jowitt, P. W. (1989). “Leakage reduction by excessive pressure minimization in a water supply network.” Proc., Institution Civ. Engrs., Part 2, 87 (June), 195–214.
8.
Goodwin, S. J. (1980). “The result of the experimental programme on leakage and leakage control.” Technical Report TR 154, Water Res. Centre, Swindon, United Kingdom.
9.
Goodwin, S. J., and McElroy, S. (1983). “Reducing the water budget loss.” World Water, 7(11), 31–33.
10.
Isaacs, L. T., and Mills, K. G. (1980). “Linear theory method for pipe network analysis.” J. Hydr. Div., ASCE, 106(7), 1191–1201.
11.
Lasdon, L. S. (1970). “Optimization theory for large systems.” The Macmillan Company, New York, N.Y.
12.
“Leakage Control Policy and Practice.” (1980). Standing Technical Committee Reports, Number 26, Dept. of the Envir., National Water Council, Britain.
13.
Martin, D. W., and Peters, G. (1963). “The application of Newton's method to network analysis by digital computer.” J. Inst. of Water Engineers, 17(2), 115–129.
14.
Miyaoka, S., and Funabashi, M. (1984). “Optimal control of water distribution system by network flow theory.” IEE Trans. Automatic Control, AC‐29(4), 303–311.
15.
Ratcliffe, B. (1986). “The performance and selection of pressure reducing valves, part 1.” WRC Tech. Report 238, Water Res. Centre, Swindon, United Kingdom.
16.
Shamir, U., and Howard, C. D. D. (1968). “Water distribution analysis.” J. Hydr. Div., ASCE, 94(1), 219–234.
17.
Todini, E., and Pilati, S. (1987). “A gradient algorithm for the analysis of pipe networks.” Proc., Int. Conf. of Computer Applications for Water Supply and Distribution, Leicester, United Kingdom.
18.
Twort, A. C., Law, F. M., and Crowley, F. W. (1985). “Water supply.” 3rd Ed., Edward Arnold, London, United Kingdom.
19.
Wood, D. J., and Charles, C. O. A. (1972). “Hydraulic network analysis using linear theory.” J. Hydr. Div., ASCE, 98(7), 1157–1170.
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Copyright © 1990 ASCE.
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Published online: Jul 1, 1990
Published in print: Jul 1990
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