LAPSE:2023.15534
Published Article

LAPSE:2023.15534
Dimensionality Reduction Method of Dynamic Programming under Hourly Scale and Its Application in Optimal Scheduling of Reservoir Flood Control
March 2, 2023
Abstract
In flood control scheduling of reservoirs, the usual conventional scheduling fails to obtain the optimal solution to the problem. The dynamic programming method is applied to the field. However, the problem of ‘dimensional disaster’ restricts its application. To solve these problems, the improved DP is constructed according to the principle of period inflow and water balance, which includes a variable dispersion mechanism of the retraction space and a calculation method for the smallest discrete points of each discrete range. Taking Dongjiang Reservoir as the research object, based on the maximum peak clipping criterion and the maximum flood control safety guarantee criterion, the improved DP is used for optimization. The results find that when the former criterion is used for scheduling, the discharge flow processes of the two floods are more uniform than conventional scheduling. When the latter criterion is used for scheduling, the minimum water levels of the two floods are lower than the conventional scheduling. As such, it is found that in the two flood dispatches, the calculation time after the first flood DP dimensionality reduction processing is reduced by about 65%, and the second flood is reduced by about 59%, which greatly improves the calculation efficiency of the DP.
In flood control scheduling of reservoirs, the usual conventional scheduling fails to obtain the optimal solution to the problem. The dynamic programming method is applied to the field. However, the problem of ‘dimensional disaster’ restricts its application. To solve these problems, the improved DP is constructed according to the principle of period inflow and water balance, which includes a variable dispersion mechanism of the retraction space and a calculation method for the smallest discrete points of each discrete range. Taking Dongjiang Reservoir as the research object, based on the maximum peak clipping criterion and the maximum flood control safety guarantee criterion, the improved DP is used for optimization. The results find that when the former criterion is used for scheduling, the discharge flow processes of the two floods are more uniform than conventional scheduling. When the latter criterion is used for scheduling, the minimum water levels of the two floods are lower than the conventional scheduling. As such, it is found that in the two flood dispatches, the calculation time after the first flood DP dimensionality reduction processing is reduced by about 65%, and the second flood is reduced by about 59%, which greatly improves the calculation efficiency of the DP.
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Keywords
dimensionality reduction, Dongjiang Reservoir, dynamic programming, flood control optimal scheduling, hourly scale
Subject
Suggested Citation
Wang S, Jiang Z, Liu Y. Dimensionality Reduction Method of Dynamic Programming under Hourly Scale and Its Application in Optimal Scheduling of Reservoir Flood Control. (2023). LAPSE:2023.15534
Author Affiliations
Wang S: School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Jiang Z: School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Liu Y: School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Jiang Z: School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Liu Y: School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Journal Name
Energies
Volume
15
Issue
3
First Page
676
Year
2022
Publication Date
2022-01-18
ISSN
1996-1073
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Original Submission
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PII: en15030676, Publication Type: Journal Article
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LAPSE:2023.15534
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https://doi.org/10.3390/en15030676
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Mar 2, 2023
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