Considering Actual Pipe Connections in Water Distribution Network Analysis
Publication: Journal of Hydraulic Engineering
Volume 136, Issue 11
Abstract
The classical assumption of representing total demand along a pipe as two lumped withdrawals at its terminal nodes is hitherto common. It is a simplification of the network topology which is useful in order to drastically reduce the number of nodes during network simulation. Conversely, this simplification does not preserve energy balance equation of pipes and, for this reason, it is an approximation that could generate significant head loss errors. This paper presents a modification of the global gradient algorithm (GGA) which entails an enhancing of GGA (EGGA) permitting the effective introduction of the lumped nodal demands, without forfeiting correctness of energy balance, by means of a pipe hydraulic resistance correction. The robustness and convergence properties of the algorithm are compared with those of the classical GGA. Furthermore, the effectiveness of EGGA is demonstrated by computing the network pressure status under different configurations of the connections along the pipes of a test network.
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References
Anderson, E. J., and Al-Jamal, K. H. (1995). “Hydraulic network simplification.” J. Water Resour. Plann. Manage., 121(3), 235–240.
Carpentier, P., Cohen, G., and Hamam, Y. (1987). “Water network equilibrium variational formulation and comparison of numerical algorithms.” Computer application in water supply, Vol. 1, Wiley, New York.
Collins, M., Cooper, L., Helgason, R., Kenningston, J., and LeBlanc, L. (1978). “Solving the pipe network analysis problem using optimization techniques.” Manage. Sci., 24(7), 747–760.
Cross, H. (1936). “Analysis of flow in networks of conduits or conductors.” Bulletin no. 286, Univ. of Illinois Engineering Experimental Station, Urbana, Ill., 1–29.
Epp, R., and Fowler, A. G. (1970). “Efficient code for steady-state flows in networks.” J. Hydr. Div., 96(11), 3–56.
Giustolisi, O., Kapelan, Z., and Savic, D. A. (2008a). “An algorithm for automatic detection of topological changes in water distribution networks.” J. Hydraul. Eng., 134(4), 435–446.
Giustolisi, O., Kapelan, Z., and Savic, D. A. (2008b). “Detecting topological changes in large water distribution networks.” Proc. Water Distribution Systems Analysis (WDSA), ASCE, Reston, Va., 865–872.
Giustolisi, O., Savic, D. A., and Kapelan, Z. (2008c). “Pressure-driven demand and leakage simulation for water distribution networks.” J. Hydraul. Eng., 134(5), 626–635.
Giustolisi, O., and Todini, E. (2009). “Pipe hydraulic resistance correction in WDN analysis.” Urban Water, 6(1), 39–52.
Hamam, Y. M., and Brammeler, A. (1971) “Hybrid method for the solution of piping networks.” Proc. IEEE, 118(11), 1607–1612.
Hamberg, D., and Shamir, U. (1988). “Schematic models for distribution systems design: I. Combination concept.” J. Water Resour. Plann. Manage., 114(2), 129–140.
Isaacs, L. T., and Mills, K. G. (1980). “Linear theory method for pipe network analysis.” J. Hydr. Div., 106(7), 1191–2001.
Kesavan, H. K., and Chandrashekar, M. (1972). “Graph-theoretic models for pipe network analysis.” J. Hydr. Div., 98(2), 345–364.
Martin, D. W., and Peters, G. (1963). “The application of Newton's method to network analysis by digital computers.” J. Inst. Water Eng., 17, 115–129.
Osiadacz, A. J. (1987). Simulation and analysis of gas networks, E & FN Spon, London.
Piller, O. (1995). “Modeling the behavior of a network—Hydraulic analysis and a sampling procedure for estimating the parameters.” Ph.D. thesis, Univ. of Bordeaux I, Bordeaux, France.
Rossman, L. A. (2000). EPANET 2 user’s manual, U.S. EPA, Cincinnati.
Shamir, U., and Howard, C. D. D. (1968). “Water distribution network analysis.” J. Hydr. Div., 94(1), 219–234.
Tikhonov, A. N. (1963). “Solution of incorrectly formulated problems and the regularization method.” Dokl. Akad. Nauk SSSR, 151, 501–504.
Todini, E. (1979). “Un metodo del gradiente per la verifica delle reti idrauliche (A gradient method for the solution of hydraulic networks).” Bollettino degli Ingegneri della Toscana, 11, 11–14 (in Italian).
Todini, E., and Pilati, S. (1988). “A gradient method for the solution of looped pipe networks.” Proc., Computer Applications in Water Supply, Vol. 1, Wiley, New York, 1–20.
Ulanicki, B., Zehnpfund, A., and Martínez, F. (1996). “Simplification of water distribution network models.” Proc., Hydroinformatics ‘96, Balkema, Rotterdam, 493–500.
Wood, D. J., and Charles, C. O. A. (1972). “Hydraulic network analysis using linear theory.” J. Hydr. Div., 98(7), 1157–1170.
Wood, D. J., and Rayes, A. G. (1981). “Reliability of algorithms for pipe network analysis.” J. Hydr. Div., 107(10), 1145–1161.
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Information
Published In
Journal of Hydraulic Engineering
Volume 136 • Issue 11 • November 2010
Pages: 889 - 900
Copyright
© 2010 ASCE.
History
Received: Nov 12, 2008
Accepted: Apr 25, 2010
Published online: Apr 28, 2010
Published in print: Nov 2010
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