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

Author

Listed:
  • Wang Zhang

    (Wuhan University
    Hubei Provincial Collaborative Innovation Center for Water Resources Security)

  • Pan Liu

    (Wuhan University
    Hubei Provincial Collaborative Innovation Center for Water Resources Security)

  • Xizhen Chen

    (Wuhan University
    Hubei Provincial Collaborative Innovation Center for Water Resources Security)

  • Li Wang

    (Guangxi Water and Power Design Institute)

  • Xueshan Ai

    (Wuhan University
    Hubei Provincial Collaborative Innovation Center for Water Resources Security)

  • Maoyuan Feng

    (Wuhan University
    Hubei Provincial Collaborative Innovation Center for Water Resources Security)

  • Dedi Liu

    (Wuhan University
    Hubei Provincial Collaborative Innovation Center for Water Resources Security)

  • Yuanyuan Liu

    (Wuhan University
    Hubei Provincial Collaborative Innovation Center for Water Resources Security)

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.

Suggested Citation

  • Wang Zhang & Pan Liu & Xizhen Chen & Li Wang & Xueshan Ai & Maoyuan Feng & Dedi Liu & Yuanyuan Liu, 2016. "Optimal Operation of Multi-reservoir Systems Considering Time-lags of Flood Routing," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 523-540, January.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:2:d:10.1007_s11269-015-1175-8
    DOI: 10.1007/s11269-015-1175-8
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    References listed on IDEAS

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