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Model for determining real-time optimal dam releases during flooding conditions

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  • El-Said Ahmed
  • Larry Mays

Abstract

A methodology for evaluating real-time optimal reservoir releases under flooding conditions that minimizes flood damages for a river-reservoir system is described in this paper. The problem is formulated as a discrete-time optimal control problem in which reservoir releases are the control variables, and water surface elevations and discharges are the state variables. Constraints imposed on the reservoir’s water surface elevations and reservoir releases to the downstream reaches are incorporated into an objective function using a penalty function method. The optimal control model consists of the two primary interfaced components: (1) the U.S. Geological Survey Full EQuation routing model to simulate the unsteady flow dynamics of the river-reservoir system and (2) an optimization technique, simulated annealing that optimizes reservoir releases (flood control gate operations) subject to system constraints. The model solves an augmented control problem. The model was applied to the river-reservoir system of Lake Travis on the Lower Colorado River in Texas. The model application to Lake Travis revealed the usefulness of the model in improving a given operation policy, regardless of the type objective function (linear or nonlinear). The methodology and the operation model developed here are unique since they can be applied to any river-reservoir system, do not require simplification of nonlinearities, and guarantee the determination of an optimal or near-global optima. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • El-Said Ahmed & Larry Mays, 2013. "Model for determining real-time optimal dam releases during flooding conditions," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 65(3), pages 1849-1861, February.
  • Handle: RePEc:spr:nathaz:v:65:y:2013:i:3:p:1849-1861
    DOI: 10.1007/s11069-012-0444-6
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    Citations

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    Cited by:

    1. Daniel Che & Larry Mays, 2015. "Development of an Optimization/Simulation Model for Real-Time Flood-Control Operation of River-Reservoirs Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(11), pages 3987-4005, September.
    2. Morteza Zargar & Hossein M. V. Samani & Ali Haghighi, 2016. "Optimization of gated spillways operation for flood risk management in multi-reservoir systems," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 82(1), pages 299-320, May.
    3. Zhaohong Feng & Zhanbin Li & Peng Shi & Peng Li & Tian Wang & Jinxiao Duan, 2021. "Impact of sedimentation by check dam on the hydrodynamics in the channel on the Loess Plateau of China," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 107(1), pages 953-969, May.

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