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A Real Time Optimization Based Sequential Convex Program for Pressure Management in Water Distribution Systems

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  • Pham Duc Dai

    (Thuyloi University)

Abstract

Optimizing pressure management to reduce water leakage in water distribution systems (WDSs) is a top priority for water utilities worldwide. This engineering problem can be mathematically formulated as a nonlinear program (NLP), where the decision variables are valve settings and pump speed settings. By formulating and solving the NLP with given demand parameters, control quantities can be computed and applied to the system for effective control. However, in practice, demand parameters continuously change over time, and solving the NLP typically requires a significant computational time, making it unsuitable for real-time control systems. Therefore, the efficiency of obtaining the NLP solution quickly becomes crucial for improving the performance of the control system. In this study, we propose a new real-time scheme based on a sequential convex program (SCP) to compute approximate control profiles in response to changes in water demand patterns. Instead of solving the NLP with high accuracy for each new demand pattern, the proposed approach solves only one convex NLP within the computation framework of the SCP. This provides an approximate solution with acceptable accuracy, delivered in near real-time. To demonstrate the effectiveness of the real-time optimization scheme, we apply it to determine fast control quantities for a real-world WDS in Vietnam and a WDS benchmark for optimal pressure management. The results demonstrate that by applying this real-time optimization scheme, the obtained control profiles achieve acceptable accuracy and lead to a decrease in excessive pressure, with lower intensity of pressure fluctuations.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:37:y:2023:i:12:d:10.1007_s11269-023-03576-z
    DOI: 10.1007/s11269-023-03576-z
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    References listed on IDEAS

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    1. Mehdi Dini & Mozhdeh Hemmati & Saeed Hashemi, 2022. "Optimal Operational Scheduling of Pumps to Improve the Performance 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. 36(1), pages 417-432, January.
    2. 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.
    3. 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.
    4. 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.
    5. Yihong Guan & Mou Lv & Shen Dong, 2023. "Pressure-driven Background Leakage Models and their Application for Leak Localization Using a Multi-population Genetic Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(1), pages 359-373, January.
    6. Mouna Doghri & Sophie Duchesne & Annie Poulin & Jean-Pierre Villeneuve, 2020. "Comparative Study of Pressure Control Modes Impact on Water Distribution System Performance," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(1), pages 231-244, January.
    7. Reza Moasheri & Mohammadreza Jalili-Ghazizadeh, 2020. "Locating of Probabilistic Leakage Areas in Water Distribution Networks by a Calibration Method Using the Imperialist Competitive Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(1), pages 35-49, January.
    8. 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.
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