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Study on guaranteed output constraints in the long term joint optimal scheduling for the hydropower station group

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  • He, Zhongzheng
  • Zhou, Jianzhong
  • Xie, Mengfei
  • Jia, Benjun
  • Bao, Zhengfeng
  • Qin, Hui
  • Zhang, Hairong

Abstract

Long-term joint scheduling of hydropower station group (LJSHSG) is a constrained optimization problem, which suffers from a variety of complex and time-state coupling constraints. It is beset with difficulties to solve LJSHSG problem owing to these equality constraints, rigid constraints and flexible constraints of hydropower station group (HSG). The new hybrid constraint handling method combining ε-constraint (EC) and penalty functions (PF) (named EC-PF) is proposed to deal with these constraints in this paper. In the proposed EC-PF, all equality constraints are forced to satisfy according to the equation; EC handle all rigid constraints with minimizing the value of constraint violation and constraint relaxation rule; and the unique flexible constraint, guaranteed output constraint, is processed by PF. Then the proposed EC-PF is compared with the superiority of feasible solutions (SF), stochastic ranking (SR), PF, EC and lexicographic method (LM) in the application to LJSHSG problems; the experimental results verify the superiority of the proposed method. Moreover, the conclusions that it is necessary to deal with rigid constraints from flexible constraints differently in LJSHSG problem are obtained. On this basis, in view of the defect that guaranteed output constraints are difficult to satisfy in LJSHSG, the LJSHSG with the cooperative mode to handle guaranteed output constraints (named LJSHSG-cm) is puts forward. The comparative experimental results of LJSHSG and LJSHSG-cm show that LJSHSG-cm can increase the power generation by 0.3% while increasing the satisfaction rate of guaranteed output constraints by 78.56% compared with LJSHSG for long sequence calculation from 1959 to 2014. These are fully illustrated that the hybrid constraint handling method EC-PF and LJSHSG-cm with the cooperative mode to handle guaranteed output constraints are valid and reliable practical tools in solving LJSHSG.

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  • He, Zhongzheng & Zhou, Jianzhong & Xie, Mengfei & Jia, Benjun & Bao, Zhengfeng & Qin, Hui & Zhang, Hairong, 2019. "Study on guaranteed output constraints in the long term joint optimal scheduling for the hydropower station group," Energy, Elsevier, vol. 185(C), pages 1210-1224.
    • Handle: RePEc:eee:energy:v:185:y:2019:i:c:p:1210-1224
    DOI: 10.1016/j.energy.2019.07.066
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    as
    1. Junhong Zhang & Lu Chen & Vijay Singh & Hongwen Cao & Dangwei Wang, 2015. "Determination of the distribution of flood forecasting error," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 75(2), pages 1389-1402, January.
    2. Feng, Zhong-kai & Niu, Wen-jing & Cheng, Chun-tian, 2018. "Optimization of hydropower reservoirs operation balancing generation benefit and ecological requirement with parallel multi-objective genetic algorithm," Energy, Elsevier, vol. 153(C), pages 706-718.
    3. Junhong Zhang & Lu Chen & Vijay Singh & Wenhong Cao & Dangwei Wang, 2015. "Erratum to: Determination of the distribution of flood forecasting error," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 75(2), pages 2065-2065, January.
    4. Feng, Zhong-kai & Niu, Wen-jing & Cheng, Chun-tian & Liao, Sheng-li, 2017. "Hydropower system operation optimization by discrete differential dynamic programming based on orthogonal experiment design," Energy, Elsevier, vol. 126(C), pages 720-732.
    5. Jiang, Zhiqiang & Li, Anqiang & Ji, Changming & Qin, Hui & Yu, Shan & Li, Yuanzheng, 2016. "Research and application of key technologies in drawing energy storage operation chart by discriminant coefficient method," Energy, Elsevier, vol. 114(C), pages 774-786.
    6. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(5), pages 777-788, October.
    7. 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.
    8. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(1), pages 151-160, February.
    9. Jianzhong Zhou & Mengfei Xie & Zhongzhen He & Hui Qin & Liu Yuan, 2017. "Medium-Term Hydro Generation Scheduling (MTHGS) with Chance Constrained Model (CCM) and Dynamic Control Model (DCM)," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(11), pages 3543-3555, September.
    10. Liu Yuan & Jianzhong Zhou & Chunlong Li & Mengfei Xie & Li Mo, 2016. "Benefit and Risk Balance Optimization for Stochastic Hydropower Scheduling," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(10), pages 3347-3361, August.
    11. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(4), pages 629-637, August.
    12. Feng, Zhong-kai & Niu, Wen-jing & Cheng, Chun-tian, 2019. "China’s large-scale hydropower system: operation characteristics, modeling challenge and dimensionality reduction possibilities," Renewable Energy, Elsevier, vol. 136(C), pages 805-818.
    13. Tang, Wenzhe & Li, Zhuoyu & Qiang, Maoshan & Wang, Shuli & Lu, Youmei, 2013. "Risk management of hydropower development in China," Energy, Elsevier, vol. 60(C), pages 316-324.
    14. Liu Yuan & Jianzhong Zhou, 2017. "Self-Optimization System Dynamics Simulation of Real-Time Short Term Cascade Hydropower System Considering Uncertainties," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(7), pages 2127-2140, May.
    15. Yongqi Liu & Hui Qin & Li Mo & Yongqiang Wang & Duan Chen & Shusen Pang & Xingli Yin, 2019. "Hierarchical Flood Operation Rules Optimization Using Multi-Objective Cultured Evolutionary Algorithm Based on Decomposition," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(1), pages 337-354, January.
    16. Jiang, Zhiqiang & Ji, Changming & Qin, Hui & Feng, Zhongkai, 2018. "Multi-stage progressive optimality algorithm and its application in energy storage operation chart optimization of cascade reservoirs," Energy, Elsevier, vol. 148(C), pages 309-323.
    17. Wang, Wenxiao & Li, Chaoshun & Liao, Xiang & Qin, Hui, 2017. "Study on unit commitment problem considering pumped storage and renewable energy via a novel binary artificial sheep algorithm," Applied Energy, Elsevier, vol. 187(C), pages 612-626.
    18. Dubois, Didier & Fortemps, Philippe, 1999. "Computing improved optimal solutions to max-min flexible constraint satisfaction problems," European Journal of Operational Research, Elsevier, vol. 118(1), pages 95-126, October.
    19. Chang, XiaoLin & Liu, Xinghong & Zhou, Wei, 2010. "Hydropower in China at present and its further development," Energy, Elsevier, vol. 35(11), pages 4400-4406.
    20. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(3), pages 427-432, June.
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