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Simultaneous Minimization of Water Age and Pressure in Water Distribution Systems by Pressure Reducing Valves

Author

Listed:
  • Kristina Korder

    (Technische Universität Ilmenau)

  • Hao Cao

    (Technische Universität Ilmenau)

  • Elad Salomons

    (Technion – Israel Institute of Technology)

  • Avi Ostfeld

    (Technion – Israel Institute of Technology)

  • Pu Li

    (Technische Universität Ilmenau)

Abstract

Pressure reducing valves (PRVs) are essentially used to reduce operational pressures in water distribution systems (WDSs) to minimize water leakage. However, water age in a WDS is an important variable describing the water quality and should be kept as low as possible. Therefore, the aim of this study is to investigate the possibility and potential of simultaneously minimizing both pressure and water age by using PRVs. To determine the optimal location and setting of PRVs, a mixed-integer nonlinear programming (MINLP) problem is formulated with minimization of the sum of the weighted total water age and pressure as the objective function, where the weighting factor can be defined by the user’s preference. The equality constraints consist of the hydraulic equations and water age functions to describe pressure and water age in the distribution network, while the inequality constraints ensure them in the defined operating ranges, respectively. Applying the proposed approach to two case studies, the results show that both water age and pressure can indeed be significantly reduced by the optimized position and setting of the PRVs.

Suggested Citation

  • Kristina Korder & Hao Cao & Elad Salomons & Avi Ostfeld & Pu Li, 2024. "Simultaneous Minimization of Water Age and Pressure in Water Distribution Systems by Pressure Reducing Valves," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 38(10), pages 3561-3579, August.
  • Handle: RePEc:spr:waterr:v:38:y:2024:i:10:d:10.1007_s11269-024-03828-6
    DOI: 10.1007/s11269-024-03828-6
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    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.
    6. 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.
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