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A Simplified Solution Method for End-of-Term Storage Energy Maximization Model of Cascaded Reservoirs

Author

Listed:
  • Xinyu Wu

    (Insititute of Hydropower System & Hydroinformatics, Dalian University of Technology, Dalian 116024, China)

  • Ruixiang Cheng

    (Insititute of Hydropower System & Hydroinformatics, Dalian University of Technology, Dalian 116024, China)

  • Chuntian Cheng

    (Insititute of Hydropower System & Hydroinformatics, Dalian University of Technology, Dalian 116024, China)

Abstract

In medium-term scheduling, the end-of-term storage energy maximization model is proposed to create conditions for the safety, stability and economic operation of the hydropower system after control term, which satisfies the system load demand undertaken by the cascaded system in a given scheduling period. This paper presents a simplified solution method based on the Lagrangian relaxation method (LR) to solve the end-of-term storage energy maximization model. The original Lagrange dual problem with multiple Lagrange multipliers is converted to that with only one Lagrange multiplier by an entropy-based aggregate function method, which relaxes the complex cascaded hydropower system load balance constraints. The subgradient method and successive approximation of dynamic programming (DPSA) are adopted to update the Lagrange multiplier iteratively and solve the subproblem of the Lagrange dual problem, respectively. The Wujiang cascaded hydropower system is studied, and the result shows that the simplified solution method for the end-of-term storage energy maximization model both improves solving efficiency and ensures solving accuracy to a great extent.

Suggested Citation

  • Xinyu Wu & Ruixiang Cheng & Chuntian Cheng, 2022. "A Simplified Solution Method for End-of-Term Storage Energy Maximization Model of Cascaded Reservoirs," Energies, MDPI, vol. 15(12), pages 1-18, June.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:12:p:4503-:d:843496
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    References listed on IDEAS

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    1. Pan Liu & Shenglian Guo & Xiaowei Xu & Jionghong Chen, 2011. "Derivation of Aggregation-Based Joint Operating Rule Curves for Cascade Hydropower Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(13), pages 3177-3200, October.
    2. D. Kumar & M. Reddy, 2006. "Ant Colony Optimization for Multi-Purpose Reservoir Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(6), pages 879-898, December.
    3. Shang, Yizi & Lu, Shibao & Ye, Yuntao & Liu, Ronghua & Shang, Ling & Liu, Chunna & Meng, Xianyong & Li, Xiaofei & Fan, Qixiang, 2018. "China’ energy-water nexus: Hydropower generation potential of joint operation of the Three Gorges and Qingjiang cascade reservoirs," Energy, Elsevier, vol. 142(C), pages 14-32.
    4. Marshall L. Fisher, 1981. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 27(1), pages 1-18, January.
    5. He, Zhongzheng & Wang, Chao & Wang, Yongqiang & Wei, Bowen & Zhou, Jianzhong & Zhang, Hairong & Qin, Hui, 2021. "Dynamic programming with successive approximation and relaxation strategy for long-term joint power generation scheduling of large-scale hydropower station group," Energy, Elsevier, vol. 222(C).
    6. Liu, Benxi & Cheng, Chuntian & Wang, Sen & Liao, Shengli & Chau, Kwok-Wing & Wu, Xinyu & Li, Weidong, 2018. "Parallel chance-constrained dynamic programming for cascade hydropower system operation," Energy, Elsevier, vol. 165(PA), pages 752-767.
    7. Liao, Shengli & Liu, Huan & Liu, Zhanwei & Liu, Benxi & Li, Gang & Li, Shushan, 2021. "Medium-term peak shaving operation of cascade hydropower plants considering water delay time," Renewable Energy, Elsevier, vol. 179(C), pages 406-417.
    8. Marshall L. Fisher, 1985. "An Applications Oriented Guide to Lagrangian Relaxation," Interfaces, INFORMS, vol. 15(2), pages 10-21, April.
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