A Content-Based Active-Set Method for Pressure-Dependent Models of Water Distribution Systems with Flow Controls
Publication: Journal of Water Resources Planning and Management
Volume 146, Issue 4
Abstract
In this paper a new method is proposed that solves for the steady state of pressure-dependent models (PDMs) with flow control valves. Rather than model flow devices individually, the method solves the more general problem in which a water distribution system (WDS) has some link flows constrained to lie between upper and lower, or possibly equal, set limits. No heuristics are used to determine device states. The method is shown to be fast, and its effectiveness is demonstrated on PDM WDSs with up to about 20,000 links and 18,000 nodes and 60 link flow constraints, some of which prescribe a fixed flow. The method has applications in network management, network design, and flow control to deal with water distribution where there is insufficient supply.
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Data Availability Statement
The network shown in Fig. 2 and the networks , , , and , which are listed in Table 2, and their EPANET.inp files were previously published in Deuerlein et al. (2019). The other four networks , , , and are not freely available either because they are proprietary or because of security concerns.
Acknowledgments
The work presented in this paper is part of the French–German collaborative research project ResiWater that is funded by the French National Research Agency (ANR; Project: ANR-14-PICS-0003) and the German Federal Ministry of Education and Research (BMBF; Project: BMBF-13N13690).
References
Alvarruiz, F., F. Alzamora, and A. M. Vidal. 2018. “Efficient modeling of active control valves in water distribution systems using the loop method.” J. Hydraul. Eng. 144 (10): 04018064. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000982.
Alvarruiz, F., F. Martínez-Alzamora, and A. M. Vidal. 2015. “Improving the efficiency of the loop method for the simulation of water distribution systems.” J. Water Resour. Plann. Manage. 141 (10): 04015019. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000539.
Boyd, S. P., and L. Vandenberghe. 2009. Convex optimization. 7th ed. Cambridge, UK: Cambridge University Press.
Collins, M., L. Cooper, R. Helgason, J. Kennington, and L. LeBlanc. 1978. “Solving the pipe network analysis problem using optimization techniques.” Manage. Sci. 24 (7): 747–760. https://doi.org/10.1287/mnsc.24.7.747.
Deuerlein, J., O. Piller, S. Elhay, and A. R. Simpson. 2019. “A content-based active set method for the pressure dependent model of water distribution systems.” J. Water Resour. Plann. Manage. 145 (1): 04018082. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001003.
Deuerlein, J., A. Simpson, and S. Dempe. 2009. “Modeling the behavior of flow regulating devices in water distribution systems using constrained nonlinear programming.” J. Hydraul. Eng. 135 (11): 970–982. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000108.
Deuerlein, J., A. R. Simpson, and E. Gross. 2008. “The never-ending story of modeling control devices in hydraulic systems analysis.” In Proc., 10th Annual Water Distribution Systems Analysis Conf. WDSA2008, edited by K. van Zyl, A. A. Ilemobade, and H. Jacobs. Reston, VA: ASCE.
Elhay, S., O. Piller, J. W. Deuerlein, and A. R. Simpson. 2016. “A robust, rapidly convergent method that solves the water distribution equations for pressure dependent models.” J. Water Resour. Plann. Manage. 142 (2): 04015047. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000578.
Golub, G., and C. Van Loan. 1983. Matrix computations. London: North Oxford Academic Publishing.
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., I. F. Kodzhespirov, and P. Sivakumar. 2016. “Non-unique steady states in water distribution networks with flow control valves.” J. Hydraul. Eng. 142 (9): 04016029. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001156.
IEEE. 2008. IEEE standard 754-2008 for floating-point arithmetic. New York: IEEE.
Piller, O., and B. Bremond. 2001. “Modeling of pressure regulating devices: A problem now solved.” In Proc., World Water and Environmental Resources Congress, EWRI01. Reston, VA: ASCE.
Piller, O., and J. E. 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.
Simpson, A. R. 1999. “Modeling of pressure regulating devices a major problem yet to be satisfactorily solved in hydraulic simulation.” In Proc., Water Distribution Systems Conf. Reston, VA: ASCE.
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.
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Published In
Journal of Water Resources Planning and Management
Volume 146 • Issue 4 • April 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Dec 27, 2018
Accepted: Jul 3, 2019
Published online: Jan 22, 2020
Published in print: Apr 1, 2020
Discussion open until: Jun 22, 2020
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