IDEAS home Printed from https://ideas.repec.org/a/spr/waterr/v28y2014i10p3143-3159.html
   My bibliography  Save this article

Nodal Analysis of Urban Water Distribution Networks

Author

Listed:
  • Ioan Sarbu

Abstract

There are three methods for analysing the flow and pressure distribution in looped water supply networks (the loop method, the node method, the pipe method), accounting for the chosen unknown hydraulic parameters. For all of these methods, the nonlinear system of equations can be solved using iterative procedures (Hardy–Cross, Newton–Raphson, linear theory). In the cases of the extension or the rehabilitation of distribution networks, the unknown parameters are the hydraulic heads at nodes, and the nodal method for network analysis is preferred. In this paper, a generalised classic model is developed for the nodal analysis of complex looped systems with non-standard network components and the solvability of new problems, along with the determination of the pressure state in the system. In addition, this paper exhibits a different approach to this problem by using the variational formulation method for the development of a new analysis model based on unconditioned optimisation techniques. This model has the advantage of using a specialised optimisation algorithm, which directly minimises an objective multivariable function without constraints, implemented in a computer program. The two proposed models are compared with the classic Hardy–Cross method, and the results indicated a good performance of these models. Finally, a study is performed regarding the implications of the long-term operation of the pipe network on energy consumption using these models. The new models can serve as guidelines to supplement existing procedures of network analysis. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • Ioan Sarbu, 2014. "Nodal Analysis of Urban Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 3143-3159, August.
    • Handle: RePEc:spr:waterr:v:28:y:2014:i:10:p:3143-3159
    DOI: 10.1007/s11269-014-0660-9
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11269-014-0660-9
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11269-014-0660-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. M. Tabesh & A. Yekta & R. Burrows, 2009. "An Integrated Model to Evaluate Losses in Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(3), pages 477-492, February.
    2. Önder Ekinci & Haluk Konak, 2009. "An Optimization Strategy for Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(1), pages 169-185, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hui Zhang & Xin Cheng & Tinglin Huang & Haibing Cong & Jinlan Xu, 2017. "Hydraulic Analysis of Water Distribution Systems Based on Fixed Point Iteration Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(5), pages 1605-1618, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Symeon Christodoulou & Alexandra Deligianni, 2010. "A Neurofuzzy Decision Framework for the Management of Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(1), pages 139-156, January.
    2. Nogueira Vilanova, Mateus Ricardo & Perrella Balestieri, José Antônio, 2014. "Energy and hydraulic efficiency in conventional water supply systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 30(C), pages 701-714.
    3. Allisa G. Hastie & Christopher M. Chini & Ashlynn S. Stillwell, 2022. "A mass balance approach to urban water analysis using multi‐resolution data," Journal of Industrial Ecology, Yale University, vol. 26(1), pages 213-224, February.
    4. Milan Cisty, 2010. "Hybrid Genetic Algorithm and Linear Programming Method for Least-Cost Design of Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(1), pages 1-24, January.
    5. Aditya Gupta & K. D. Kulat, 2018. "A Selective Literature Review on Leak Management Techniques for Water Distribution System," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(10), pages 3247-3269, August.
    6. M. Fontana & D. Morais, 2013. "Using Promethee V to Select Alternatives so as to Rehabilitate Water Supply Network with Detected Leaks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 4021-4037, September.
    7. Singh, Vijay P. & Oh, Juik, 2015. "A Tsallis entropy-based redundancy measure for water distribution networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 360-376.
    8. Şişman, Eyüp & Kızılöz, Burak, 2020. "Trend-risk model for predicting non-revenue water: An application in Turkey," Utilities Policy, Elsevier, vol. 67(C).
    9. M. Pasha & Kevin Lansey, 2014. "Strategies to Develop Warm Solutions for Real-Time Pump Scheduling for Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(12), pages 3975-3987, September.
    10. Taha AL-Washali & Saroj Sharma & Maria Kennedy, 2016. "Methods of Assessment of Water Losses in Water Supply Systems: a Review," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(14), pages 4985-5001, November.
    11. Ali Haghighi & Helena Ramos, 2012. "Detection of Leakage Freshwater and Friction Factor Calibration in Drinking Networks Using Central Force Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(8), pages 2347-2363, June.
    12. Mohammad Rahimi & Ali Haghighi, 2015. "A Graph Portioning Approach for Hydraulic Analysis-Design of Looped Pipe Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(14), pages 5339-5352, November.
    13. Ismail Chenini & Abdallah Mammou & Moufida El May, 2010. "Groundwater Recharge Zone Mapping Using GIS-Based Multi-criteria Analysis: A Case Study in Central Tunisia (Maknassy Basin)," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(5), pages 921-939, March.
    14. S. Alvisi, 2015. "A New Procedure for Optimal Design of District Metered Areas Based on the Multilevel Balancing and Refinement Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(12), pages 4397-4409, September.
    15. Harrison Mutikanga & Saroj Sharma & Kalanithy Vairavamoorthy, 2011. "Multi-criteria Decision Analysis: A Strategic Planning Tool for Water Loss Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(14), pages 3947-3969, November.
    16. Elias Farah & Isam Shahrour, 2017. "Leakage Detection Using Smart Water System: Combination of Water Balance and Automated Minimum Night Flow," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(15), pages 4821-4833, December.
    17. Jaber Alkasseh & Mohd Adlan & Ismail Abustan & Hamidi Aziz & Abu Hanif, 2013. "Applying Minimum Night Flow to Estimate Water Loss Using Statistical Modeling: A Case Study in Kinta Valley, Malaysia," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(5), pages 1439-1455, March.
    18. Roland Barthel & Stephan Janisch & Darla Nickel & Aleksandar Trifkovic & Thomas Hörhan, 2010. "Using the Multiactor-Approach in G lowa-Danube to Simulate Decisions for the Water Supply Sector Under Conditions of Global Climate Change," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(2), pages 239-275, January.
    19. I. Karadirek & S. Kara & G. Yilmaz & A. Muhammetoglu & H. Muhammetoglu, 2012. "Implementation of Hydraulic Modelling for Water-Loss Reduction Through Pressure Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(9), pages 2555-2568, July.
    20. Montserrat Núñez & Jordi Oliver-Solà & Joan Rieradevall & Xavier Gabarrell, 2010. "Water Management in Integrated Service Systems: Accounting for Water Flows in Urban Areas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(8), pages 1583-1604, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:waterr:v:28:y:2014:i:10:p:3143-3159. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.