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

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...

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Bibliographic Details
Published in:	Natural hazards (Dordrecht) 2013-02, Vol.65 (3), p.1849-1861
Main Authors:	Ahmed, El-Said Mohamed Said, Mays, Larry W.
Format:	Article
Language:	eng
Subjects:	Annealing Civil Engineering Colorado river Dams Dynamical systems Dynamics Earth and Environmental Science Earth Sciences Earth, ocean, space Engineering and environment geology. Geothermics Environmental Management Environmental policy Exact sciences and technology Floods Freshwater Geophysics/Geodesy Geotechnical Engineering & Applied Earth Sciences Hydrogeology Hydrology Hydrology. Hydrogeology Lakes Mathematical models Methodology Natural Hazards Natural hazards: prediction, damages, etc Nonlinearity Optimization Original Paper Reservoirs Risk assessment Surveys Texas Water
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Summary:	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.
ISSN:	0921-030X 1573-0840