Abstract
In this paper a method for optimal placement of isolation valves in water distribution systems is presented. These valves serve to isolate parts of the network (segments) containing one or more pipes on which maintenance work can be performed without disrupting service in the entire network or in large portions of it. The segments formed after the installation and closure of isolation valves are identified and characterised using an algorithm which is based on the use of topological matrixes associated with the structure of the original network and the one modified to take account of the presence of (closed) valves. A multi-objective genetic algorithm is used instead to search for the optimal position of the valves. In the application of the method different objective functions were used and compared to solve the problem as to the optimal placement of the valves. The results showed that the most appropriate ones are the total cost of the valves (to be minimised) and the weighted average “water demand shortfall” (likewise to be minimised); in particular, the weighted average shortfall is calculated considering the shortfalls associated with the various segments of the network (shortfall is the unsupplied demand after isolating a segment) and the likelihood of failures tied to mechanical factors occurring in the segments. The methodology was applied to a case study focusing on a simplified layout of the water distribution system of the city of Ferrara (Italy).
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Bentley Systems (2006) WaterGEMS. Bentley Systems, Exton
Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182–197
Franchini M, Alvisi S (2009) How to simulate evenly distributed water demands in pipe networks. Civil and Environmental System Journal. doi:10.1080/10286600902781658. Published online on May 22nd 2009
Giustolisi O, Savic D (2010) Identification of segments and optimal isolation valve system design in water distribution networks. Urban Water 7(1):1–15
Giustolisi O, Kapelan Z, Savic DA (2008) An algorithm for automatic detection of topological changes in water distribution networks. J Hydraul Eng 134(4):435–446
Hashimoto T, Loucks DP, Stedinger J (1982) Reliability, resilience and vulnerability for water resources system performance evaluation. Water Resour Res 18(1):14–20
Juan H, Loganathan GV (2007) Valve-controlled segments in water distribution systems. J Water Resour Plan Manage 133(2):145–155
Kao J-J, Li P-H (2007) A segment-based optimization model for water pipeline replacement. Journal of American Water Works Association 99(7):83–95
Kjeldsen TR, Rosbjerg D (2004) Choice of reliability, resilience and vulnerability estimators for risk assessments of water resources systems. Hydrol Sci J 49(5):755–767
Kleiner Y, Rajani B (2001) Comprehensive review of structural deterioration of water mains: statistical models. Urban Water 3(3):131–150
Kleiner Y, Rajani B (2002) Forecasting variations and trends in water main breaks. J Infrastruct Syst 8(4):122–131
Le Gat Y, Eisenbeis P (2000) Using maintenance records to forecast failures in water networks. Urban Water 2:173–181
Liberatore S, Sechi GM (2009) Location and calibration of valves in water distribution networks using a scatter-search meta-heuristic approach. Water Resour Manage 24(1):139–156
Nazif S, Karamouz M, Tabesh M, Moridi A (2010) Pressure management model for urban water distribution networks. Water Resour Manage 24(3):437–458
Penrose R (1955) A generalized inverse for matrices. Proc Camb Philol Soc 51:406–413
Ramos HM, Loureiro D, Lopes A, Fernandes C, Covas D, Reis LF, Cunha MC (2010) Evaluation of chlorine decay in drinking water systems for different flow conditions: from theory to practice. Water Resour Manage 24(4):815–834
Tanymboh TT, Tabesh M, Burrow R (2001) Appraisal of source head methods for calculating reliability of water distribution networks. J Water Resour Plan Manage 127(4):206–213
Todini E (2000) Looped water distribution networks design using a resilience index based heuristic approach. Urban Water 2(2):115–122.
Todini E (2003) A more realistic approach to the “extended period simulation” of water distribution networks. In: Maksimovic C, Butler D, Memon FA (eds) Advances in water supply management. Balkema, Lisse, pp 173–184
Todini E, Pilati S (1988) A gradient algorithm for the analysis of pipe networks. In: Coulbeck B, Choun-Hou O (eds) Computer application in water supply, vol I—system analysis and simulation. Wiley, London, pp 1–20
Wagner JM, Shamir U, Marks DH (1988a) Water distribution reliability: analytical methods. J Water Resour Plan Manage 114(3):253–274
Wagner JM, Shamir U, Marks DH (1988b) Water distribution reliability: simulation methods. J Water Resour Plan Manage 114(3):276–293
Walski TM (1993a) Practical aspects of providing reliability in water distribution systems: the reliability of water distribution systems. Reliab Eng Syst Saf 42(1):13–19
Walski TM (1993b) Water distribution valve topology for reliability analysis: the reliability of water distribution systems. Reliab Eng Syst Saf 42(1):21–27
Walski TM, Weiler JS, Culver T (2006) Using criticality analysis to identify impact of valve location. In: Proceedings of 8th annual water distribution systems analysis symposium, Cincinnati, Ohio, USA, 27–30 August 2006
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Creaco, E., Franchini, M. & Alvisi, S. Optimal Placement of Isolation Valves in Water Distribution Systems Based on Valve Cost and Weighted Average Demand Shortfall. Water Resour Manage 24, 4317–4338 (2010). https://doi.org/10.1007/s11269-010-9661-5
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DOI: https://doi.org/10.1007/s11269-010-9661-5