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Analysis and optimisation of looped water distribution networks

Published online by Cambridge University Press:  17 February 2009

Brian Young
Brian Young
Affiliation:
Department of Civil Engineering, Papua New Guinea University of Technology, Lae, Papua New Guinea.
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Abstract

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A three stage procedure for the analysis and least-cost design of looped water distribution networks is considered in this paper. The first stage detects spanning trees and identifies the true global optimum for the system. The second stage determines hydraulically feasible pipe flows for the network by the numerical solution of a set of non-linear simultaneous equations and shows that these solutions are contained within closed convex polygonal regions in the solution space bounded by singularities resulting from zero flows in individual pipes. Ideal pipe diameters, consistent with the pipe flows and the constant velocity constraint adopted to prevent the system degenerating into a branched network, are selected and costed. It is found that the most favourable optimum is in the vicinity of a vertex in the solution space corresponding to the minimum spanning tree. In the third stage, commercial pipes are specified and the design finalised. Upper bound formulae for the number of spanning trees and hydraulically feasible solutions in a network have also been proposed. The treatment of large networks by a heuristic procedure is described which is shown to result in significant economies compared with designs obtained by non-linear programming.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 4 , April 2000 , pp. 508 - 526
Copyright
Copyright © Australian Mathematical Society 2000

References

[1]Bhave, P. R., “Optimal expansion of water distribution systems”, J. Environ. Eng. ASCE 111 (1985) 177–197.CrossRefGoogle Scholar
[2]Chiplunkar, A. V., Mehndiratta, S. L. and Khanna, P., “Looped water distribution systems for single loading”, J. Environ. Eng. ASCE 112 (1986) 264–279.CrossRefGoogle Scholar
[3]Epp, R. and Fowler, A. G., “Efficient code for steady-state flows in networks”, J. Hydraulic Division, Pmc. ASCE 96 (1970) 43–56.CrossRefGoogle Scholar
[4]Featherstone, R. E. and El-Jumaily, K. K., “Optimal diameter selection for pipe networks”, J. Hydraulic Eng. ASCE 109 (1983) 221–234.CrossRefGoogle Scholar
[5]Gupta, I., Bassin, J. K., Gupta, A. and Khanna, P., “Optimisation of water distribution system”. Environmental Software 8 (1993) 101–113.CrossRefGoogle Scholar
[6]Jacoby, S. L. S., “Design of optimal hydraulic networks”, J. Hydraulic Division, Proc. ASCE 94 (1968) 641–661.CrossRefGoogle Scholar
[7]Kesavan, H. K. and Chandrashekar, M., “Graph-theoretic models for pipe network analysis”, J. Hydraulic Division, Proc. ASCE 98 (1972) 345–364.CrossRefGoogle Scholar
[8]Morgan, D. R. and Goulter, I. C., “Least-cost layout and design of looped water distribution systems”, in Proc. Int. Symp. on Urban Hydrology, Hydraulic and Sediment Control (1982).Google Scholar
[9]Quindry, G. E., Brill, E. D. and Liebman, J. C., “Optimisation of looped water distribution systems”, J. Environ. Eng. Division, Proc. ASCE 107 (1982) 665–679.CrossRefGoogle Scholar
[10]Rasmusen, H. J., “Simplified optimisation of water supply systems”, J. Environ. Eng. Division, Proc. ASCE 102 (1976) 313–327.CrossRefGoogle Scholar
[11]Shamir, U., “Optimal design and operation of water distribution systems”, Water Resources Research 10 (1974) 27–36.CrossRefGoogle Scholar
[12]Templeman, A. B., “Discussion on “Optimisation of looped water distribution systems” by Quindry et al. (see [9[)”, J. Environ. Eng. Division, Proc. ASCE 108 (1982) 599–602.CrossRefGoogle Scholar
[13]Watanatada, T., “Least-cost design of water distribution systems”, J. Hydraulic division, Proc. ASCE 99 (1973) 1497–1513.CrossRefGoogle Scholar
[14]Webber, N. B., Fluid mechanics for civil engineers (Chapman and Hall, London, 1971).Google Scholar
[15]Young, B. W., “Economic design of water distribution systems”, Agricultural Engineering Australia (1997).Google Scholar
[16]Young, B. W., “Heuristic approach to the least-cost design of a looped water distribution network”, in Int. Conf. on Energy and the Environment (1997).Google Scholar
[17]Young, B. W., Design charts for water supply and sewerage (AS 2200–1978, Standards Assoc. of Australia, 1978).Google Scholar