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Multiple Reservoir Systems Optimization with Stochastic Control Theory

Author(s): Taha B. M. J. Ouarda; Fahim Ashkar

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Keywords: Optimal control theory; Larges-cale ultiresevoir systems; Dynamic programming; Chance-constrained optim ization

Abstract: Control theory has wide applications in many fields for the solution of practical control problems, but remains widely under-utilized in the field of water resources. We briefly review, in this paper, the use of deterministic and stochastic optimal control theory (OCT) in the optimization of reservoir systems. In a second stage, we develop a formulation for a chance-constrained optimal control model (CCOC) for the optimization of large-scale multiple reservoir systems. The model is tested on a hypothetical four-reservoir case study, and its performance is assessed based on various quantitative and qualitative criteria. CCOC was concluded to be an efficient technique for multidimensional optimization problems, and is recommended for the operation of large-scale multireservoir systems. The robustness of the technique, its flexibility, its low computational requirements and its ability to maintain consideration of risk, make it a good candidate for use in real-time control of water resource systems. Key words: Optimal control theory, large-scale multireservoir systems, dynamic programming, chance-constrained optimization.

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Year: 1993

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