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Simultaneous and sequential stochastic optimization approaches for pumped storage plant scheduling with random breakdowns

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  • Yahia, Zakaria
  • Pradhan, Anup

Abstract

This paper addresses a pumped-storage stations scheduling problem. The study contribution is three-fold. First, a new service-related multi-objective function is proposed. The model aims to minimize the supply-demand disparity function and the pump maintenance cost in terms of the number of pump switches. Second, the proposed mathematical formulation considers individual units scheduling and random breakdowns. Furthermore, this work considers the electricity demand uncertainty in hourly and daily basis. Third, a new sequential two-stage formulation is proposed. The Sample Average Approximation method is applied to handle the grid demand uncertainty, stochastic failures and unplanned maintenance of pumping units. Goal programming is applied at the second-stage to handle the conflicting objective functions and avoid the model infeasibility. A case study data based on the Ingula pumped-storage station in South Africa is used to test the performance of the proposed approach. A comparison between the two-stage sequential approach and a simultaneous approach showed the superior performance of the two-stage sequential approach in terms of modeling complexity and computational time. Furthermore, experimental analysis showed that involving more pumping/generating units could improve the service level by reducing Disparity Index. Moreover, the two-stage sequential approach showed a superior performance even for the larger size instances.

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  • Yahia, Zakaria & Pradhan, Anup, 2020. "Simultaneous and sequential stochastic optimization approaches for pumped storage plant scheduling with random breakdowns," Energy, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:energy:v:204:y:2020:i:c:s0360544220310033
    DOI: 10.1016/j.energy.2020.117896
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    1. Su, Chengguo & Cheng, Chuntian & Wang, Peilin & Shen, Jianjian & Wu, Xinyu, 2019. "Optimization model for long-distance integrated transmission of wind farms and pumped-storage hydropower plants," Applied Energy, Elsevier, vol. 242(C), pages 285-293.
    2. Javed, Muhammad Shahzad & Ma, Tao & Jurasz, Jakub & Amin, Muhammad Yasir, 2020. "Solar and wind power generation systems with pumped hydro storage: Review and future perspectives," Renewable Energy, Elsevier, vol. 148(C), pages 176-192.
    3. Petrollese, Mario & Seche, Pierluigi & Cocco, Daniele, 2019. "Analysis and optimization of solar-pumped hydro storage systems integrated in water supply networks," Energy, Elsevier, vol. 189(C).
    4. Varkani, Ali Karimi & Daraeepour, Ali & Monsef, Hassan, 2011. "A new self-scheduling strategy for integrated operation of wind and pumped-storage power plants in power markets," Applied Energy, Elsevier, vol. 88(12), pages 5002-5012.
    5. Ghasemi, Ahmad, 2018. "Coordination of pumped-storage unit and irrigation system with intermittent wind generation for intelligent energy management of an agricultural microgrid," Energy, Elsevier, vol. 142(C), pages 1-13.
    6. Yang, Chi-Jen & Jackson, Robert B., 2011. "Opportunities and barriers to pumped-hydro energy storage in the United States," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(1), pages 839-844, January.
    7. Daneshvar, Mohammadreza & Mohammadi-Ivatloo, Behnam & Zare, Kazem & Asadi, Somayeh, 2020. "Two-stage stochastic programming model for optimal scheduling of the wind-thermal-hydropower-pumped storage system considering the flexibility assessment," Energy, Elsevier, vol. 193(C).
    8. Simab, Mohsen & Javadi, Mohammad Sadegh & Nezhad, Ali Esmaeel, 2018. "Multi-objective programming of pumped-hydro-thermal scheduling problem using normal boundary intersection and VIKOR," Energy, Elsevier, vol. 143(C), pages 854-866.
    9. Cheng, Chuntian & Su, Chengguo & Wang, Peilin & Shen, Jianjian & Lu, Jianyu & Wu, Xinyu, 2018. "An MILP-based model for short-term peak shaving operation of pumped-storage hydropower plants serving multiple power grids," Energy, Elsevier, vol. 163(C), pages 722-733.
    10. van Staden, Adam Jacobus & Zhang, Jiangfeng & Xia, Xiaohua, 2011. "A model predictive control strategy for load shifting in a water pumping scheme with maximum demand charges," Applied Energy, Elsevier, vol. 88(12), pages 4785-4794.
    11. Zhang, Shirong & Xia, Xiaohua, 2010. "Optimal control of operation efficiency of belt conveyor systems," Applied Energy, Elsevier, vol. 87(6), pages 1929-1937, June.
    12. Patwal, Rituraj Singh & Narang, Nitin & Garg, Harish, 2018. "A novel TVAC-PSO based mutation strategies algorithm for generation scheduling of pumped storage hydrothermal system incorporating solar units," Energy, Elsevier, vol. 142(C), pages 822-837.
    13. Haider, Haider Tarish & See, Ong Hang & Elmenreich, Wilfried, 2016. "A review of residential demand response of smart grid," Renewable and Sustainable Energy Reviews, Elsevier, vol. 59(C), pages 166-178.
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