Optimal Operation Rules for Parallel Reservoir Systems with Distributed Water Demands
Publication: Journal of Water Resources Planning and Management
Volume 148, Issue 6
Abstract
This paper addresses the doubts regarding the spatial characteristics of the commonly used rules for parallel reservoir system operation. The rules based on aggregation-decomposition determine the system total release first and then assign this release to individual reservoirs, without considering the water demand distribution in the river network. In this paper, a conceptual model for parallel reservoir systems with distributed water demands is proposed. Three specific optimality conditions are derived for determining the optimal analytical solution. A rigorous proof shows that the aggregation-decomposition-based rules are a special case of the derived rules. An efficient algorithm is then developed based on the optimality conditions and shortage allocation index (SAI), in which a larger SAI indicates taking a higher percentage of the system water shortage, as release or storage. Unlike traditional algorithms that modify the violated variables empirically, we propose a criterion in terms of relative deviation indicators to determine the crucial priority of variable modification. This criterion can effectively address constraint violations. The optimal rules along with the solution algorithm are then demonstrated by the operation of a parallel reservoir system in the Shiyang River Basin, China. The results show that the proposed rules and algorithm are more efficient and effective than traditional algorithms and aggregation-decomposition-based rules, especially in dry seasons with more binding constraints.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. The list items include (1) the inflows and algorithmic parameters of the hypothetical three-reservoir system in Subsection 1 of Case study which are shown in Fig. 6 and Table 3; (2) the monthly step inflow data from 1970 to 2000 in the Shiyang River Basin; and (3) the codes of the HRAP-D and ADBR in the Shiyang River Basin.
Acknowledgments
The authors are grateful to the two anonymous reviewers and the editors for their insightful comments and encouragement that contributed to significant improvements of the manuscript. This study was supported by the National Natural Science Foundation of China (Grant Nos. 92047302, 91747208, and 51861125102) and the State Key Laboratory of Hydroscience and Engineering-Tsinghua (Grant No. 2019-KY-01).
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Journal of Water Resources Planning and Management
Volume 148 • Issue 6 • June 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Apr 21, 2021
Accepted: Dec 10, 2021
Published online: Mar 16, 2022
Published in print: Jun 1, 2022
Discussion open until: Aug 16, 2022
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