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Optimal control of water distribution networks without storage

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  • Nerantzis, Dimitrios
  • Pecci, Filippo
  • Stoianov, Ivan

Abstract

The paper investigates the problem of optimal control of water distribution networks without storage capacity. Using mathematical optimization, we formulate and solve the problem as a non-convex NLP, in order to obtain optimal control curves for both variable speed pumps and pressure reducing valves of the network and thus propose a methodology for the automated control of real operational networks. We consider both single-objective and multi-objective problems with average zonal pressure, pump energy consumption and water treatment cost as objectives. Furthermore, we investigate global optimality bounds for the calculated solutions using global optimization techniques. The proposed approach is shown to outperform state-of-the-art global optimization solvers. The described procedure is demonstrated in a case study using a large size operational network.

Suggested Citation

  • Nerantzis, Dimitrios & Pecci, Filippo & Stoianov, Ivan, 2020. "Optimal control of water distribution networks without storage," European Journal of Operational Research, Elsevier, vol. 284(1), pages 345-354.
    • Handle: RePEc:eee:ejores:v:284:y:2020:i:1:p:345-354
    DOI: 10.1016/j.ejor.2019.12.011
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    References listed on IDEAS

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    1. 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.
    2. D’Ambrosio, Claudia & Lodi, Andrea & Wiese, Sven & Bragalli, Cristiana, 2015. "Mathematical programming techniques in water network optimization," European Journal of Operational Research, Elsevier, vol. 243(3), pages 774-788.
    3. Ghaddar, Bissan & Naoum-Sawaya, Joe & Kishimoto, Akihiro & Taheri, Nicole & Eck, Bradley, 2015. "A Lagrangian decomposition approach for the pump scheduling problem in water networks," European Journal of Operational Research, Elsevier, vol. 241(2), pages 490-501.
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    Cited by:

    1. Dui, Hongyan & Wei, Xuan & Xing, Liudong & Chen, Liwei, 2023. "Performance-based maintenance analysis and resource allocation in irrigation networks," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    2. Li, Yulong & Lin, Jie & Zhang, Chi & Zhu, Huaxing & Zeng, Saixing & Sun, Chengshaung, 2022. "Joint optimization of structure and protection of interdependent infrastructure networks," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    3. Pham Duc Dai, 2023. "A Real Time Optimization Based Sequential Convex Program for Pressure Management 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. 37(12), pages 4751-4768, September.

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