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Model for Optimal Operation of Water Distribution Pumps with Uncertain Demand Patterns

Author

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  • Puneet Khatavkar

    (Arizona State University)

  • Larry W. Mays

    (Arizona State University)

Abstract

An optimization model is presented for pump operation based upon minimizing operation costs and indirectly the maintenance costs of pumps considering uncertainty of specified demand (load) curves. The purpose of this model is to determine pump operation to meet the uncertain demands as well as to satisfy the pressure requirements in the water distribution system. In addition, constraints on the number of pump (‘on-off’) switches are included as a surrogate to indirectly minimizing the maintenance costs. This model is a mixed integer nonlinear programming (MINLP) problem using a chance constraint formulation of the uncertain demand constraint. The optimization model was solved using the LocalSolver option in A Mathematical Programming Language (AMPL). The model was first applied to the operation of an example pumping system for an urban water distribution system (WDS) illustrating a reduction in operation costs using the optimization model. The optimization model with the chance-constraint for demand was applied for a range of demand satisfaction uncertainties. A decrease in the operation costs was observed with an increased uncertainty in demand satisfaction, which shows that the model further optimizes the operations considering the relaxed constraints. Model application could be extended to operations of pumping systems during emergencies and contingencies such as droughts, component failures etc.

Suggested Citation

  • Puneet Khatavkar & Larry W. Mays, 2017. "Model for Optimal Operation of Water Distribution Pumps with Uncertain Demand Patterns," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(12), pages 3867-3880, September.
    • Handle: RePEc:spr:waterr:v:31:y:2017:i:12:d:10.1007_s11269-017-1712-8
    DOI: 10.1007/s11269-017-1712-8
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    Cited by:

    1. Ngandu Balekelayi & Haile Woldesellasse & Solomon Tesfamariam, 2022. "Comparison of the Performance of a Surrogate Based Gaussian Process, NSGA2 and PSO Multi-objective Optimization of the Operation and Fuzzy Structural Reliability of Water Distribution System: Case Stu," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(15), pages 6169-6185, December.
    2. Claudia Quintiliani & Enrico Creaco, 2019. "Using Additional Time Slots for Improving Pump Control Optimization Based on Trigger Levels," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(9), pages 3175-3186, July.

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