Abstract
To analyze water distribution networks under pressure-deficient conditions, most of the available hydraulic simulators, including EPANET 2, must be either modified by embedding pressure-dependent demands in the governing network equations or run repeatedly with successive adjustments made to specific parameters until a sufficient hydraulic consistency is obtained. This paper presents and discusses a simple technique that implements the square root relationship between the nodal demand and the nodal pressure using EPANET 2 tools and allows a water distribution network with pressure-dependent demands to be solved in a single run of the unmodified snapshot hydraulic analysis engine of EPANET 2. In this technique, artificial strings made up of a flow control valve, a pipe with a check valve, and a reservoir are connected to the demand nodes before running the engine, and the pressure-dependent demands are determined as the flows in the strings. The resistance of the artificial pipes is chosen such that the demands are satisfied in full at a desired nodal pressure. The proposed technique shows reasonable convergence as evidenced by its testing on example networks.
References
Ang WH, Jowitt PW (2006) Solution for water distribution systems under pressure-deficient conditions. J Water Resour Plan Manag 13((3):175–182. doi:10.1061/(ASCE)0733-9496(2006)132:3(175)
Babu KSJ, Mohan S (2012) Extended period simulation for pressure-deficient water distribution network. J Comput Civ Eng 26(4):498–505. doi:10.1061/(ASCE)CP.1943-5487.0000160
Estrada S, González C, Aloid R, Paño J (2009) Improved pressurized pipe network hydraulic solver for applications in irrigation systems. J Irrig Drain Eng 135(4):421–430. doi:10.1061/(ASCE)IR.1943-4774.0000100
Fujiwara O, Ganesharajah T (1993) Reliability assessment of water supply systems with storage and distribution networks. Water Resour Res 29(8):2917–2924
Gorev NB, Kodzhespirova IF, Kovalenko Y, Prokhorov E, Trapaga G (2012) A method to cope with zero flows in Newton solvers for water distribution systems. J Hydraul Eng 139(4):456–459. doi:10.1061/(ASCE)HY.1943-7900.0000694
Guistolisi O, Savic D, Kapelan Z (2008) Pressure-driven demand and leakage simulation for water distribution networks. J Hydraul Eng 134(5):626–635. doi:10.1061/(ASCE)0733-9429(2008)134:5(626)
Gupta R, Bhave PR (1996) Comparison of methods for predicting deficient network performance. J Water Resour Plan Manag 122(3):214–217
Milan C (2010) Hybrid genetic algorithm and linear programming method for least-cost design of water distribution systems. Water Resour Manag 24(1):1–24. doi:10.1007/s11269-009-9434-1, 10.1007%2fs11269-009-9434-1
Pathirana A (2010). EPANET 2 desktop application for pressure driven demand modeling. Proceedings of the 12th Annual Water Distribution Systems Analysis Conference, WDSA 2010, September 12–15, Tucson, Arizona
Rossman LA (2000) EPANET 2 User’s Manual, Water Supply and Water Resources Division. National Risk Management Research Laboratory, Cincinnati
Siew C, Tanyimboh TT (2012) Pressure-dependent EPANET extension. Water Resour Manag 26(6):1477–1498. doi:10.1007/s11269-011-9968-x
Spiliotis M, Tsakiris G (2011) Water distribution system analysis: Newton–Raphson method revisited. J Hydraul Eng 137(8):852–855. doi:10.1061/(ASCE)HY.1943-7900.0000364
Spiliotis M, Tsakiris G (2012) Water distribution network analysis under fuzzy demands. Civ Eng Environ Syst 29(2):107–122. doi:10.1080/10286608.2012.663359
Suribabu CR, Neelakantan TR (2011) Balancing reservoir based approach for solution to pressure deficient water distribution networks. Int J Civ Struct Eng 2(2):648–656. doi:10.6088/ijcser.00202010139
Tabesh M, Tanyimboh TT, Burrows R (2002) Head-driven simulation of water supply networks. IEJ Trans A: Basics 15(1):11–22
Tanyimboh TT, Templeman AB (2010) Seamless pressure-deficient water distribution system model. Proc ICE—Water Manag 163(8):389–396. doi:10.1680/wama.900013
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. A. A. Balkema Lisse, The Netherlands, pp 173–184
Wagner JM, Shamir U, Marks DH (1988) Water distribution reliability: simulation methods. J Water Resour Plan Manag 114(3):276–294
Wu YW, Wang RH, Walski TM, Yang SY, Bowdler D, Baggett CC (2009) Extended global-gradient algorithm for pressure-dependent water distribution analysis. J Water Resour Plan Manag 135(1):13–22. doi:10.1061/(ASCE)0733-9496(2009)135:1(13)
Yoo DG, Suh MY, Kim JH, Jun H, Chung G (2012) Subsystem-based pressure dependent demand analysis in water distribution systems using effective supply. KSCE J Civ Eng 16(3):457–464. doi:10.1007/s12205-012-1448-1
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Gorev, N.B., Kodzhespirova, I.F. Noniterative Implementation of Pressure-Dependent Demands Using the Hydraulic Analysis Engine of EPANET 2. Water Resour Manage 27, 3623–3630 (2013). https://doi.org/10.1007/s11269-013-0369-1
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DOI: https://doi.org/10.1007/s11269-013-0369-1