IDEAS home Printed from https://ideas.repec.org/a/spr/waterr/v28y2014i10p3057-3074.html
   My bibliography  Save this article

Optimal Localization of Pressure Reducing Valves in Water Distribution Systems by a Reformulation Approach

Author

Listed:
  • Pham Dai
  • Pu Li

Abstract

Leakage reduction represents one of the most challenging tasks in managing water distribution systems (WDSs). An effective way to leakage reduction is to carry out network operational pressure management through optimizing locations and regulations for pressure reducing valves (PRVs) and system pressures. This leads to a mixed-integer nonlinear program (MINLP) with a large number of binary variables which make it difficult to solve by an available software package. In this study, instead of directly solving the MINLP problem, we reformulate it to a mathematical program with complementarity constraints which can be efficiently solved by available NLP algorithms. The binary variables are replaced by continuous ones with complementarity constraints to be satisfied by a penalization scheme. To improve the quality of the solution and also to accelerate the convergence, in each relaxed NLP the results of the binary variables are rounded to binary values with which the NLP problem is solved again to achieve a MINLP solution. The final solution will be determined by the best one among the MINLP solutions. The results from two case studies reveal new and better combinations of PRVs as compared with those given in the literature. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • Pham Dai & Pu Li, 2014. "Optimal Localization of Pressure Reducing Valves in Water Distribution Systems by a Reformulation Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 3057-3074, August.
  • Handle: RePEc:spr:waterr:v:28:y:2014:i:10:p:3057-3074
    DOI: 10.1007/s11269-014-0655-6
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11269-014-0655-6
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11269-014-0655-6?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. S. Liberatore & G. Sechi, 2009. "Location and Calibration of Valves in Water Distribution Networks Using a Scatter-Search Meta-heuristic Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(8), pages 1479-1495, June.
    2. X. M. Hu & D. Ralph, 2004. "Convergence of a Penalty Method for Mathematical Programming with Complementarity Constraints," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 365-390, November.
    3. L. Araujo & H. Ramos & S. Coelho, 2006. "Pressure Control for Leakage Minimisation in Water Distribution Systems Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(1), pages 133-149, February.
    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. Aditya Gupta & Neeraj Bokde & Kishore Kulat & Zaher Mundher Yaseen, 2020. "Nodal Matrix Analysis for Optimal Pressure-Reducing Valve Localization in a Water Distribution System," Energies, MDPI, vol. 13(8), pages 1-17, April.
    2. Filippo Pecci & Edo Abraham & Ivan Stoianov, 2017. "Penalty and relaxation methods for the optimal placement and operation of control valves in water supply networks," Computational Optimization and Applications, Springer, vol. 67(1), pages 201-223, May.
    3. Aditya Gupta & Neeraj Bokde & K. D. Kulat, 2018. "Hybrid Leakage Management for Water Network Using PSF Algorithm and Soft Computing Techniques," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 1133-1151, February.
    4. 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.
    5. Pham Duc Dai & Pu Li, 2016. "Optimal Pressure Regulation in Water Distribution Systems Based on an Extended Model for Pressure Reducing Valves," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(3), pages 1239-1254, February.

    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. Filippo Pecci & Edo Abraham & Ivan Stoianov, 2017. "Penalty and relaxation methods for the optimal placement and operation of control valves in water supply networks," Computational Optimization and Applications, Springer, vol. 67(1), pages 201-223, May.
    2. Aditya Gupta & Neeraj Bokde & K. D. Kulat, 2018. "Hybrid Leakage Management for Water Network Using PSF Algorithm and Soft Computing Techniques," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 1133-1151, February.
    3. 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.
    4. Oreste Fecarotta & Costanza Aricò & Armando Carravetta & Riccardo Martino & Helena Ramos, 2015. "Hydropower Potential in Water Distribution Networks: Pressure Control by PATs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(3), pages 699-714, February.
    5. Armando Carravetta & Giuseppe Del Giudice & Oreste Fecarotta & Helena M. Ramos, 2013. "PAT Design Strategy for Energy Recovery in Water Distribution Networks by Electrical Regulation," Energies, MDPI, vol. 6(1), pages 1-14, January.
    6. Diamantis Karakatsanis & Nicolaos Theodossiou, 2022. "Smart Hydropower Water Distribution Networks, Use of Artificial Intelligence Methods and Metaheuristic Algorithms to Generate Energy from Existing Water Supply Networks," Energies, MDPI, vol. 15(14), pages 1-21, July.
    7. Francesco Paola & Maurizio Giugni & Davide Portolano, 2017. "Pressure Management Through Optimal Location and Setting of Valves in Water Distribution Networks Using a Music-Inspired Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(5), pages 1517-1533, March.
    8. Carmine Covelli & Luca Cozzolino & Luigi Cimorelli & Renata Della Morte & Domenico Pianese, 2016. "Optimal Location and Setting of PRVs in WDS for Leakage Minimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(5), pages 1803-1817, March.
    9. Armando Carravetta & Giuseppe Del Giudice & Oreste Fecarotta & Helena Ramos, 2012. "Energy Production in Water Distribution Networks: A PAT Design Strategy," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(13), pages 3947-3959, October.
    10. Carmine Covelli & Luca Cozzolino & Luigi Cimorelli & Renata Della Morte & Domenico Pianese, 2016. "Optimal Location and Setting of PRVs in WDS for Leakage Minimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(5), pages 1803-1817, March.
    11. Pham Duc Dai & Pu Li, 2016. "Optimal Pressure Regulation in Water Distribution Systems Based on an Extended Model for Pressure Reducing Valves," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(3), pages 1239-1254, February.
    12. Andrés Ortega-Ballesteros & Francisco Iturriaga-Bustos & Alberto-Jesus Perea-Moreno & David Muñoz-Rodríguez, 2022. "Advanced Pressure Management for Sustainable Leakage Reduction and Service Optimization: A Case Study in Central Chile," Sustainability, MDPI, vol. 14(19), pages 1-16, September.
    13. Thomas Pirard & Vasileios Kitsikoudis & Sebastien Erpicum & Michel Pirotton & Pierre Archambeau & Benjamin Dewals, 2022. "Discharge Redistribution as a Key Process for Heuristic Optimization of Energy Production with Pumps as Turbines in a Water Distribution Network," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(4), pages 1237-1250, March.
    14. Ghaddar, Bissan & Claeys, Mathieu & Mevissen, Martin & Eck, Bradley J., 2017. "Polynomial optimization for water networks: Global solutions for the valve setting problem," European Journal of Operational Research, Elsevier, vol. 261(2), pages 450-459.
    15. 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.
    16. Sanghyun Kim, 2019. "Valve Maneuver Prediction in Simple and Complicated Pipeline Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(14), pages 4671-4685, November.
    17. 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.
    18. S A Gabriel & Y Shim & A J Conejo & S de la Torre & R García-Bertrand, 2010. "A Benders decomposition method for discretely-constrained mathematical programs with equilibrium constraints," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(9), pages 1404-1419, September.
    19. Pecci, Filippo & Stoianov, Ivan & Ostfeld, Avi, 2021. "Relax-tighten-round algorithm for optimal placement and control of valves and chlorine boosters in water networks," European Journal of Operational Research, Elsevier, vol. 295(2), pages 690-698.
    20. Sinagra, Marco & Aricò, Costanza & Tucciarelli, Tullio & Morreale, Gabriele, 2020. "Experimental and numerical analysis of a backpressure Banki inline turbine for pressure regulation and energy production," Renewable Energy, Elsevier, vol. 149(C), pages 980-986.

    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:3057-3074. 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.