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Improved Multi-objective Butterfly Optimization Algorithm and its Application in Cascade Reservoirs Optimal Operation Considering Ecological Flow

Author

Listed:
  • Zhangling Xiao

    (Tianjin Research Institute for Water Transport Engineering, M.O.T.)

  • Mingjin Zhang

    (Tianjin Research Institute for Water Transport Engineering, M.O.T.)

  • Zhongmin Liang

    (Hohai University)

  • Jian Wang

    (Tianjin Research Institute for Water Transport Engineering, M.O.T.)

  • Yude Zhu

    (Tianjin Research Institute for Water Transport Engineering, M.O.T.)

  • Binquan Li

    (Hohai University)

  • Yiming Hu

    (Hohai University)

  • Jun Wang

    (Hohai University)

  • Xiaolei Jiang

    (Yangzhou University)

Abstract

Traditional reservoir operations often take power production as the main purpose. However, blindly maximizing power production will prompt the reservoirs to work continuously at high water levels, leading to lower water release and possible damage to the river ecosystem. In this paper, a multi-objective optimal operation model was established for a cascade reservoir system, with the goals of maximizing power production and ecological benefit. The ecological benefit was defined based on a suitable interval of ecological flow, which was calculated by the Tennant and flow duration curve methods. To efficiently solve the model, a multi-objective butterfly optimization algorithm was proposed by coupling the improved initial population strategy, dynamic switching probability strategy, archive elite solution-guided evolution, and polynomial mutation strategy. This algorithm was compared with three popular multi-objective optimization algorithms on benchmark functions and a cascade reservoir operation problem in the lower reaches of the Yalong River. Results showed that the proposed algorithm achieved the maximum hydropower production, with 82.5, 76.4 and 64.2 billion kW‧h in the wet, normal and dry years. It also obtained the highest ecological benefit values, which were 0.76, 0.80 and 0.86 in the wet, normal and dry years, respectively. The proposed algorithm has the potential to solve multi-objective optimization problems. Under different inflow scenarios, a certain competitive relationship between targets was witnessed. As the decrease of inflow, the competition tended to intensify. Graphical Abstract

Suggested Citation

  • Zhangling Xiao & Mingjin Zhang & Zhongmin Liang & Jian Wang & Yude Zhu & Binquan Li & Yiming Hu & Jun Wang & Xiaolei Jiang, 2024. "Improved Multi-objective Butterfly Optimization Algorithm and its Application in Cascade Reservoirs Optimal Operation Considering Ecological Flow," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 38(12), pages 4803-4821, September.
  • Handle: RePEc:spr:waterr:v:38:y:2024:i:12:d:10.1007_s11269-024-03889-7
    DOI: 10.1007/s11269-024-03889-7
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    References listed on IDEAS

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    1. Chengjun Wu & Guohua Fang & Tao Liao & Xianfeng Huang & Bo Qu, 2020. "Integrated Software Development and Case Studies for Optimal Operation of Cascade Reservoir within the Environmental Flow Constraints," Sustainability, MDPI, vol. 12(10), pages 1-16, May.
    2. Kalyanmoy Deb & Nikhil Padhye, 2014. "Enhancing performance of particle swarm optimization through an algorithmic link with genetic algorithms," Computational Optimization and Applications, Springer, vol. 57(3), pages 761-794, April.
    3. Hojat Karami & Sayed Farhad Mousavi & Saeed Farzin & Mohammad Ehteram & Vijay P. Singh & Ozgur Kisi, 2018. "Improved Krill Algorithm for Reservoir Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(10), pages 3353-3372, August.
    4. J. Pablo Ortiz-Partida & Taher Kahil & Tatiana Ermolieva & Yuri Ermoliev & Belize Lane & Samuel Sandoval-Solis & Yoshihide Wada, 2019. "A Two-Stage Stochastic Optimization for Robust Operation of Multipurpose Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(11), pages 3815-3830, September.
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