Single multipurpose reservoir design: a modified optimal control problem by chance-constrained programming |
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| Authors: | Miguel A Mariño Slobodan P Simonovic |
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| Institution: | 1. Department of Land, Air and Water Resources, University of California, Davis, California 95616, USA;2. Department of Civil Engineering, University of California, Davis, California 95616, USA |
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| Abstract: | This paper presents a chance-constrained programming model for optimal control of a multipurpose reservoir and its modification to a model for single reservoir design. An algorithm is developed for solving complex stochastic problems of multipurpose reservoir planning and design. The complexity of the problem is resolved by a two-step algorithm: (1) transformation of chance constraints on the state and control variables is performed at the first step; and (2) the choice of optimum control or optimal reservoir storage is carried out in the second step. The method of iterative convolution is chosen for the first step, while linear programming is selected for the second step. The algorithm allows the use of random inflows and random demands together with other deterministic demands. The reservoir design problem is presented as a modified optimal control problem. The procedure is illustrated with an example of a hypothetical reservoir design problem with three different types of downstream releases (hydropower production, municipal water supply, and irrigation). |
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