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Uncertainty Analysis of Transient Flow in Water Distribution Networks

Author

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  • Adell Moradi Sabzkouhi

    (Shahid Chamran University of Ahvaz)

  • Ali Haghighi

    (Shahid Chamran University of Ahvaz)

Abstract

For transient analysis of a pipe network, the unsteady flow governing equations should be solved to obtain the extreme pressure heads in the system, which may be faced with several uncertainties. To evaluate that to what extent the input uncertainties can affect the system responses, a simulation model based on the fuzzy sets theory is introduced. For this purpose, triangular fuzzy numbers are used to represent the input uncertainties. Then, to obtain the extreme pressure heads in each location of the network and at each level of uncertainty, four independent optimization problems are solved. In these problems, the nodal maximum and minimum pressure heads are the objective functions and the simulation parameters are the decision variables. Accordingly, for fuzzy analysis of a pipe network, a complicated many-objective optimization problem arises. To solve the problem efficiently a many-objective genetic algorithm is coupled to the transient simulation model. To speed up the analysis, a transient simulation model in the frequency domain is used. The proposed model is applied to a pipe network and the results are discussed. The model is found computationally fast and promising for real applications.

Suggested Citation

  • Adell Moradi Sabzkouhi & Ali Haghighi, 2018. "Uncertainty Analysis of Transient Flow in Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(12), pages 3853-3870, September.
    • Handle: RePEc:spr:waterr:v:32:y:2018:i:12:d:10.1007_s11269-018-2023-4
    DOI: 10.1007/s11269-018-2023-4
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    References listed on IDEAS

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    1. P . Sivakumar & R. K. Prasad & S. Chandramouli, 2016. "Uncertainty Analysis of Looped Water Distribution Networks Using Linked EPANET-GA Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 331-358, January.
    2. Ali Haghighi, 2015. "Analysis of Transient Flow Caused by Fluctuating Consumptions in Pipe Networks: A Many-Objective Genetic Algorithm Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(7), pages 2233-2248, May.
    3. P Sivakumar & R. Prasad & S. Chandramouli, 2016. "Uncertainty Analysis of Looped Water Distribution Networks Using Linked EPANET-GA Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 331-358, January.
    4. 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.
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