Head-Drop Method for the Modeling of Pressure Reducing Valves and Variable Speed Pumps in Water Distribution Networks
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VIEW THE REPLYPublication: Journal of Hydraulic Engineering
Volume 149, Issue 5
Abstract
This paper presents the head-drop method for the modeling of pressure regulation devices in the steady-state simulation of water distribution networks (WDNs). The method is based on addition of device-associated head drops to the source term of pipe energy-balance equations. Head drops and device statuses (active, open, and closed) are updated during the iterations of WDN resolution based on the values of pipe water discharge and of head at pipe end nodes. The proposed method is easily implementable in any WDN resolution algorithm for both local and remote regulation of pressure reducing valves (PRVs) and variable speed pumps (VSPs). The application to four case studies proved the efficiency and robustness of the method, which will be implemented in the hydraulic engine of Smart Water Network Protection and Partitioning (SWANP) software.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
References
Alperovits, E., and U. Shamir. 1977. “Design of optimal water distribution systems.” Water Resour. Res. 13 (6): 885–900. https://doi.org/10.1029/WR013i006p00885.
Alvarruiz, F., F. Martínez-Alzamora, and A. M. Vidal. 2018. “Efficient modeling of active control valves in water distribution systems using the loop method.” J. Water Resour. Plann. Manage. 144 (10): 04018064. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000982.
Arsene, C., D. Al-Dabass, and J. Hartley. 2012. “A study on modeling and simulation of water distribution systems based on loop corrective flows and containing controlling hydraulics elements.” In Proc., 3rd Int. Conf. Intelligent Systems, Modelling and Simulation (ISMS), 423–430. New York: IEEE.
Bragalli, C., C. D’Ambrosio, J. Lee, A. Lodi, and P. Toth. 2008. Water network design by MINLP.. New York: IBM.
Creaco, E., A. Di Nardo, M. Iervolino, and G. Santonastaso. 2022. “High-order global algorithm for the pressure-driven modelling of water distribution networks.” J. Water Resour. Plann. Manage. 148 (3): 0402119. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001524.
Deuerlein, J., R. Cembrowicz, and S. Dempe. 2005. “Hydraulic simulation of water supply networks under control.” In Proc., 7th Annual Water Distribution Systems Analysis Symp. WDSA2005, edited by R. Walton, 24. Reston, VA: ASCE.
Di Nardo, A., M. Di Natale, A. Di Mauro, E. Martínez Díaz, J. A. Blázquez Garcia, G. F. Santonastaso, and F. P. Tuccinardi. 2020. “An advanced software to design automatically permanent partitioning of a water distribution network.” Urban Water J. 17 (3): 259–265. https://doi.org/10.1080/1573062X.2020.1760322.
Estrada, C., C. González, R. Aliod, and J. Pano. 2009. “Improved pressurized pipe network hydraulic solver for applications in irrigation systems.” J. Irrig. Drain. Eng. 135 (4): 421–430. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000100.
Foglianti, G., S. Alvisi, M. Franchini, and E. Todini. 2020. “Extending the global-gradient algorithm to solve pressure-control valves.” J. Water Resour. Plann. Manage. 146 (8): 04020055. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001247.
Galuppini, G., L. Magni, and E. Creaco. 2020. “Stability and robustness of real-time pressure control in water distribution systems.” J. Hydraul. Eng. 146 (4): 04020023. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001722.
Giustolisi, O., D. Savic, and Z. Kapelan. 2008. “Pressure-driven demand and leakage simulation for water distribution networks.” J. Hydraul. Eng. 134 (5): 626–635. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:5(626).
Gorev, N. B., V. N. Gorev, I. F. Kodzhespirova, I. A. Shedlovsky, and P. Sivakumar. 2018. “Simulating control valves in water distribution systems as pipes of variable resistance.” J. Water Resour. Plann. Manage. 144 (11): 06018008. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001002.
Gorev, N. B., V. N. Gorev, I. F. Kodzhespirova, I. A. Shedlovsky, and P. Sivakumar. 2019. “Hybrid simulator for water distribution networks with control valves.” J. Water Resour. Plann. Manage. 145 (10): 06019009. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001116.
Jowitt, P., and C. Xu. 1990. “Optimal valve control in water distribution networks.” J. Water Resour. Plann. Manage. 116 (4): 455–472. https://doi.org/10.1061/(ASCE)0733-9496(1990)116:4(455).
Nicolini, M., and L. Zovatto. 2009. “Optimal location and control of pressure reducing valves in water networks.” J. Water Resour. Plann. Manage. 135 (3): 178–187. https://doi.org/10.1061/(ASCE)0733-9496(2009)135:3(178).
Piller, O., and J. van Zyl. 2014. “Modeling control valves in water distribution systems using a continuous state formulation.” J. Hydraul. Eng. 140 (11): 04014052. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000920.
Prescott, S. L., and B. Ulanicki. 2003. “Dynamic modeling of pressure reducing valves.” J. Hydraul. Eng. 129 (10): 804–812. https://doi.org/10.1061/(ASCE)0733-9429(2003)129:10(804).
Rossman, L. A. 2000. EPANET 2 users manual. Cincinnati: National Risk Management Research Laboratory.
Singh, M. K., and V. Kekatos. 2021. “On the flow problem in water distribution networks: Uniqueness and solvers.” IEEE Trans. Control Network Syst. 8 (1): 462–474. https://doi.org/10.1109/TCNS.2020.3029150.
Todini, E., and S. Pilati. 1988. “A gradient method for the solution of looped pipe networks.” In Computer applications in water supply. Volume 1—System analysis and simulation, edited by B. Coulbeck and C. H. Orr, 1–20. Hoboken, NJ: Wiley.
Todini, E., and L. Rossman. 2013. “Unified framework for deriving simultaneous equation algorithms for water distribution networks.” J. Hydraul. Eng. 139 (5): 511–526. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000703.
Todini, E., M. E. Tryby, Z. Y. Wu, and T. Walski. 2007. “Direct computation of variable speed pumps for water distribution system analysis.” In Management challenges in global change, 411–418. Abingdon, UK: Taylor & Francis.
Wu, Z. Y., M. Tryby, E. Todini, and T. M. Walski. 2009. “Modeling variable-speed pump operations for target hydraulic characteristics.” J. Am. Water Works Assoc. 101 (1): 54–64. https://doi.org/10.1002/j.1551-8833.2009.tb09823.x.
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Journal of Hydraulic Engineering
Volume 149 • Issue 5 • May 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Mar 19, 2022
Accepted: Dec 29, 2022
Published online: Feb 21, 2023
Published in print: May 1, 2023
Discussion open until: Jul 21, 2023
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