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Finding Multiple Optimal Solutions to Optimal Load Distribution Problem in Hydropower Plant

Author

Listed:
  • Pan Liu

    (State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China)

  • Tri-Dung Nguyen

    (Ven Te Chow Hydrosystems Laboratory, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
    Schools of Mathematics and Management, University of Southampton, Southampton, SO17 1BJ, UK)

  • Ximing Cai

    (Ven Te Chow Hydrosystems Laboratory, Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA)

  • Xinhao Jiang

    (College of Water Sciences, Beijing Normal University, Beijing 100875, China)

Abstract

Optimal load distribution (OLD) among generator units of a hydropower plant is a vital task for hydropower generation scheduling and management. Traditional optimization methods for solving this problem focus on finding a single optimal solution. However, many practical constraints on hydropower plant operation are very difficult, if not impossible, to be modeled, and the optimal solution found by those models might be of limited practical uses. This motivates us to find multiple optimal solutions to the OLD problem, which can provide more flexible choices for decision-making. Based on a special dynamic programming model, we use a modified shortest path algorithm to produce multiple solutions to the problem. It is shown that multiple optimal solutions exist for the case study of China’s Geheyan hydropower plant, and they are valuable for assessing the stability of generator units, showing the potential of reducing occurrence times of units across vibration areas.

Suggested Citation

  • Pan Liu & Tri-Dung Nguyen & Ximing Cai & Xinhao Jiang, 2012. "Finding Multiple Optimal Solutions to Optimal Load Distribution Problem in Hydropower Plant," Energies, MDPI, vol. 5(5), pages 1-20, May.
    • Handle: RePEc:gam:jeners:v:5:y:2012:i:5:p:1413-1432:d:17740
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    References listed on IDEAS

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    1. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(2), pages 427-429, April.
    2. ,, 2004. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 20(1), pages 223-229, February.
    3. Thomas H. Byers & Michael S. Waterman, 1984. "Technical Note—Determining All Optimal and Near-Optimal Solutions when Solving Shortest Path Problems by Dynamic Programming," Operations Research, INFORMS, vol. 32(6), pages 1381-1384, December.
    4. Tsai, Jung-Fa & Lin, Ming-Hua & Hu, Yi-Chung, 2008. "Finding multiple solutions to general integer linear programs," European Journal of Operational Research, Elsevier, vol. 184(2), pages 802-809, January.
    5. Pan Liu & Shenglian Guo & Lihua Xiong & Wei Li & Honggang Zhang, 2006. "Deriving Reservoir Refill Operating Rules by Using the Proposed DPNS Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(3), pages 337-357, June.
    6. Catalão, J.P.S. & Pousinho, H.M.I. & Contreras, J., 2012. "Optimal hydro scheduling and offering strategies considering price uncertainty and risk management," Energy, Elsevier, vol. 37(1), pages 237-244.
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    Cited by:

    1. Zhong-Kai Feng & Wen-Jing Niu & Jian-Zhong Zhou & Chun-Tian Cheng & Hui Qin & Zhi-Qiang Jiang, 2017. "Parallel Multi-Objective Genetic Algorithm for Short-Term Economic Environmental Hydrothermal Scheduling," Energies, MDPI, vol. 10(2), pages 1-22, January.
    2. Lei, Kaixuan & Chang, Jianxia & Wang, Yimin & Guo, Aijun & Huang, Mengdi & Xu, Bo, 2022. "Cascade hydropower stations short-term operation for load distribution considering water level synchronous variation," Renewable Energy, Elsevier, vol. 196(C), pages 683-693.
    3. Bortoni, Edson C. & Bastos, Guilherme S. & Abreu, Thiago M. & Kawkabani, Basile, 2015. "Online optimal power distribution between units of a hydro power plant," Renewable Energy, Elsevier, vol. 75(C), pages 30-36.
    4. Lejun Ma & Huan Wang & Baohong Lu & Changjun Qi, 2018. "Application of Strongly Constrained Space Particle Swarm Optimization to Optimal Operation of a Reservoir System," Sustainability, MDPI, vol. 10(12), pages 1-15, November.
    5. Granacher, Julia & Nguyen, Tuong-Van & Castro-Amoedo, Rafael & Maréchal, François, 2022. "Overcoming decision paralysis—A digital twin for decision making in energy system design," Applied Energy, Elsevier, vol. 306(PA).
    6. Tongtiegang Zhao & Jianshi Zhao & Xiaohui Lei & Xu Wang & Bisheng Wu, 2017. "Improved Dynamic Programming for Reservoir Flood Control Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(7), pages 2047-2063, May.
    7. Cheng, Qian & Ming, Bo & Liu, Pan & Huang, Kangdi & Gong, Yu & Li, Xiao & Zheng, Yalian, 2021. "Solving hydro unit commitment problems with multiple hydraulic heads based on a two-layer nested optimization method," Renewable Energy, Elsevier, vol. 172(C), pages 317-326.
    8. Ming, Bo & Liu, Pan & Guo, Shenglian & Cheng, Lei & Zhou, Yanlai & Gao, Shida & Li, He, 2018. "Robust hydroelectric unit commitment considering integration of large-scale photovoltaic power: A case study in China," Applied Energy, Elsevier, vol. 228(C), pages 1341-1352.

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