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Optimal Operation of Multi-reservoir Systems Considering Time-lags of Flood Routing

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Abstract

Operations of multi-reservoir systems are nonlinear and high-dimensional problems, which are difficult to find the optimal or near-optimal solution owing to the heavy computation burden. This study focuses on flood control operation of multi-reservoir systems considering time-lags caused by Muskingum flood routing of river channels. An optimal model is established to jointly minimize the flood peak on the downstream flood control station for the multi-reservoir systems. A hybrid algorithm, Progressive Optimality Algorithm and Successive Approximation (POA-SA), is improved to solve the multi-reservoir operation model by modifying the POA. The POA-SA uses the DPSA to reduce the spatial dimensionality due to the multiple reservoirs, and adopts an improved POA to alleviate the temporal dimensionality caused by the time-lags of the Muskingum flood routing. Linear programming is then implemented to verify the solution of the POA-SA method with a linear approximation of the discharge capacity curve. The multi-reservoir systems of China’s Xijiang River is selected for a case study. Results show that the flood peak of Wuzhou station can be averagely decreased by 6730 m3/s (12.8 %) for the 100-year return period floods, indicating that the proposed method is efficient to operate the multi-reservoir systems and resolve the time-lags issues.

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Acknowledgments

This study is supported by the National Natural Science Foundation of China (51422907 and 51539009).

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Authors and Affiliations

  1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, China

    Wang Zhang, Pan Liu, Xizhen Chen, Xueshan Ai, Maoyuan Feng, Dedi Liu & Yuanyuan Liu

  2. Hubei Provincial Collaborative Innovation Center for Water Resources Security, Wuhan, 430072, China

    Wang Zhang, Pan Liu, Xizhen Chen, Xueshan Ai, Maoyuan Feng, Dedi Liu & Yuanyuan Liu

  3. Guangxi Water and Power Design Institute, Nanning, 530000, China

    Li Wang

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  1. Wang Zhang
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  2. Pan Liu
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  3. Xizhen Chen
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Correspondence to Pan Liu.

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Zhang, W., Liu, P., Chen, X. et al. Optimal Operation of Multi-reservoir Systems Considering Time-lags of Flood Routing. Water Resour Manage 30, 523–540 (2016). https://doi.org/10.1007/s11269-015-1175-8

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  • DOI: https://doi.org/10.1007/s11269-015-1175-8

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