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Water 2018, 10(2), 175; https://doi.org/10.3390/w10020175

Stochastic Linear Programming for Reservoir Operation with Constraints on Reliability and Vulnerability

School of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
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Received: 16 December 2017 / Revised: 6 February 2018 / Accepted: 6 February 2018 / Published: 9 February 2018
(This article belongs to the Special Issue Adaptive Catchment Management and Reservoir Operation)
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Abstract

Reliability and vulnerability (RV) are two very important performance measures but, due to their stage-inseparable nature, they cannot be explicitly incorporated in stochastic dynamic programming (SDP), which is extensively used in reservoir operation. With inflows described as a Markov chain, a stochastic linear programming (SLP) model is formulated in this paper to explicitly incorporate the RV constraints in the reservoir operation, aimed at maximizing the expected power generation by determining the optimal scheduling decisions and their probabilities. Simulation results of the SLP and SDP models indicate the equivalence of the proposed SLP and SDP models without considering the RV constraints, as well as the strength of the SLP in explicitly incorporating the RV constraints. A simulated scheduling solution also reveals a reduction of power generation fluctuation, with the reservoir capacity emptied in advance to meet given reliability and vulnerability. View Full-Text
Keywords: stochastic linear programming; Markov chain; reliability; vulnerability; reservoir operation; stochastic dynamic programming stochastic linear programming; Markov chain; reliability; vulnerability; reservoir operation; stochastic dynamic programming
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Chen, C.; Kang, C.; Wang, J. Stochastic Linear Programming for Reservoir Operation with Constraints on Reliability and Vulnerability. Water 2018, 10, 175.

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