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Stochastic optimization approach to water management in cooling-constrained power plants

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  • Salazar, Juan M.
  • Diwekar, Urmila
  • Constantinescu, Emil
  • Zavala, Victor M.

Abstract

A stochastic optimization framework for water management in cooling-constrained power plants is proposed. The approach determines optimal set-points to maximize power output in the presence of uncertain weather conditions and water intake constraints. Weather uncertainty is quantified in the form of ensembles using the state-of-the-art numerical weather prediction model WRF. The framework enables the handling of first-principles black-box simulation models by using the reweighting scheme implemented in the BONUS solver. In addition, it enables the construction of empirical distributions from limited samples obtained from WRF. Using these computational capabilities, the effects of cooling constraints and weather conditions on generation capacity are investigated. In a pulverized coal power plant study it has been found that weather fluctuations make the maximum plant output vary in the range of 5–10% of the nominal capacity in intraday operations. In addition, it has been found that stochastic optimization can lead to daily capacity gains of as much as 245MWh over current practice and enables more robust bidding procedures. It is demonstrated that reweighting schemes can enable real-time implementations.

Suggested Citation

  • Salazar, Juan M. & Diwekar, Urmila & Constantinescu, Emil & Zavala, Victor M., 2013. "Stochastic optimization approach to water management in cooling-constrained power plants," Applied Energy, Elsevier, vol. 112(C), pages 12-22.
    • Handle: RePEc:eee:appene:v:112:y:2013:i:c:p:12-22
    DOI: 10.1016/j.apenergy.2013.05.077
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    References listed on IDEAS

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    1. Dubreuil, Aurelie & Assoumou, Edi & Bouckaert, Stephanie & Selosse, Sandrine & Maı¨zi, Nadia, 2013. "Water modeling in an energy optimization framework – The water-scarce middle east context," Applied Energy, Elsevier, vol. 101(C), pages 268-279.
    2. Kemal Sahin & Urmila Diwekar, 2004. "Better Optimization of Nonlinear Uncertain Systems (BONUS): A New Algorithm for Stochastic Programming Using Reweighting through Kernel Density Estimation," Annals of Operations Research, Springer, vol. 132(1), pages 47-68, November.
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    2. Wu, Zhiyong & Lu, Zhibin & Zhang, Bingjian & He, Chang & Chen, Qinglin & Yu, Haoshui & Ren, Jingzheng, 2022. "Stochastic bi-objective optimization for closed wet cooling tower systems based on a simplified analytical model," Energy, Elsevier, vol. 250(C).
    3. Wang, Weiliang & Zhang, Hai & Liu, Pei & Li, Zheng & Lv, Junfu & Ni, Weidou, 2017. "The cooling performance of a natural draft dry cooling tower under crosswind and an enclosure approach to cooling efficiency enhancement," Applied Energy, Elsevier, vol. 186(P3), pages 336-346.
    4. Martín, Mariano & Martín, Mónica, 2017. "Cooling limitations in power plants: Optimal multiperiod design of natural draft cooling towers," Energy, Elsevier, vol. 135(C), pages 625-636.
    5. Pablo T. Rodriguez-Gonzalez & Vicente Rico-Ramirez & Ramiro Rico-Martinez & Urmila M. Diwekar, 2019. "A New Approach to Solving Stochastic Optimal Control Problems," Mathematics, MDPI, vol. 7(12), pages 1-13, December.
    6. Wang, Weiliang & Zhang, Hai & Li, Zheng & Lv, Junfu & Ni, Weidou & Li, Yongsheng, 2016. "Adoption of enclosure and windbreaks to prevent the degradation of the cooling performance for a natural draft dry cooling tower under crosswind conditions," Energy, Elsevier, vol. 116(P2), pages 1360-1369.
    7. Guerra, Omar J. & Reklaitis, Gintaras V., 2018. "Advances and challenges in water management within energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 82(P3), pages 4009-4019.
    8. Zhu, Xiaojie & Guo, Ruipeng & Chen, Bin & Zhang, Jing & Hayat, Tasawar & Alsaedi, Ahmed, 2015. "Embodiment of virtual water of power generation in the electric power system in China," Applied Energy, Elsevier, vol. 151(C), pages 345-354.
    9. Jamil, Ahmad & Javed, Adeel & Wajid, Abdul & Zeb, Muhammad Omar & Ali, Majid & Khoja, Asif Hussain & Imran, Muhammad, 2021. "Multiparametric optimization for reduced condenser cooling water consumption in a degraded combined cycle gas turbine power plant from a water-energy nexus perspective," Applied Energy, Elsevier, vol. 304(C).

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