Real-time dispatch of cascade hydropower-photovoltaic complementary system with hybrid pumped-storage based on Wasserstein distributionally robust optimization.

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Title: Real-time dispatch of cascade hydropower-photovoltaic complementary system with hybrid pumped-storage based on Wasserstein distributionally robust optimization.
Authors: Wang, Zizhao1,2 (AUTHOR) wangzizhao@njit.edu.cn, Li, Yang1,2 (AUTHOR) eeliyang@hhu.edu.cn, Wu, Feng1,2 (AUTHOR) wufeng@hhu.edu.cn, Shi, Linjun2 (AUTHOR), Ding, Renshan3 (AUTHOR), He, Shengming3 (AUTHOR)
Source: Renewable Energy: An International Journal. Feb2026, Vol. 257, pN.PAG-N.PAG. 1p.
Subject Terms: *Photovoltaic power generation, *Renewable energy sources, *Pumped storage power plants, Robust optimization, Uncertainty (Information theory), Resource allocation
Abstract: The global transition to renewable energy highlights the critical need to integrate variable photovoltaic (PV) generation with flexible cascade hydropower (CHP) systems. While CHP systems offer operational advantages for PV complementarity, increasing PV penetration further challenges their flexibility. Hybrid pumped-storage (HPS) retrofitted within existing CHP systems enhances bidirectional regulation and adjustment capability. However, hedging against PV power uncertainties during real-time operation is a significant challenge with consideration of spatiotemporal electrical and hydraulic coupling. This paper proposes a real-time dispatch approach for CHP-PV-HPS complementary systems based on Wasserstein distributionally robust optimization (WDRO) with a model predictive control framework (MPCF). WDRO constructs data-driven ambiguity sets to balance robustness and optimality, while MPCF updates dispatch decisions using rolling-horizon optimization. To ensure hydraulic constraint feasibility, a feasibility violation detector (FVD) algorithm is proposed and the nonconvex model is reformulated into a mixed-integer linear programming problem to ensure computational tractability. Simulation studies in a real system in southwest China are conducted to produce online dispatch policies. The results verify the effectiveness of HPS in reducing deviation and volatility of integrated power output. Besides, the proposed approach can effectively prevent units power from entering forbidden zones and reservoir water level from violating boundary constraints, while maintaining stable performance across both in-sample and out-of-sample tests. This work advances the operational safety and efficiency of renewable-dominated complementary systems integrated into grids, offering an adaptive solution for real-time energy management under uncertainty. [ABSTRACT FROM AUTHOR]
Copyright of Renewable Energy: An International Journal is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
  Group: Ti
  Data: Real-time dispatch of cascade hydropower-photovoltaic complementary system with hybrid pumped-storage based on Wasserstein distributionally robust optimization.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Zizhao%22">Wang, Zizhao</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> wangzizhao@njit.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Li%2C+Yang%22">Li, Yang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> eeliyang@hhu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Wu%2C+Feng%22">Wu, Feng</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> wufeng@hhu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Shi%2C+Linjun%22">Shi, Linjun</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ding%2C+Renshan%22">Ding, Renshan</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22He%2C+Shengming%22">He, Shengming</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Renewable+Energy%3A+An+International+Journal%22">Renewable Energy: An International Journal</searchLink>. Feb2026, Vol. 257, pN.PAG-N.PAG. 1p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Photovoltaic+power+generation%22">Photovoltaic power generation</searchLink><br />*<searchLink fieldCode="DE" term="%22Renewable+energy+sources%22">Renewable energy sources</searchLink><br />*<searchLink fieldCode="DE" term="%22Pumped+storage+power+plants%22">Pumped storage power plants</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+optimization%22">Robust optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Uncertainty+%28Information+theory%29%22">Uncertainty (Information theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Resource+allocation%22">Resource allocation</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The global transition to renewable energy highlights the critical need to integrate variable photovoltaic (PV) generation with flexible cascade hydropower (CHP) systems. While CHP systems offer operational advantages for PV complementarity, increasing PV penetration further challenges their flexibility. Hybrid pumped-storage (HPS) retrofitted within existing CHP systems enhances bidirectional regulation and adjustment capability. However, hedging against PV power uncertainties during real-time operation is a significant challenge with consideration of spatiotemporal electrical and hydraulic coupling. This paper proposes a real-time dispatch approach for CHP-PV-HPS complementary systems based on Wasserstein distributionally robust optimization (WDRO) with a model predictive control framework (MPCF). WDRO constructs data-driven ambiguity sets to balance robustness and optimality, while MPCF updates dispatch decisions using rolling-horizon optimization. To ensure hydraulic constraint feasibility, a feasibility violation detector (FVD) algorithm is proposed and the nonconvex model is reformulated into a mixed-integer linear programming problem to ensure computational tractability. Simulation studies in a real system in southwest China are conducted to produce online dispatch policies. The results verify the effectiveness of HPS in reducing deviation and volatility of integrated power output. Besides, the proposed approach can effectively prevent units power from entering forbidden zones and reservoir water level from violating boundary constraints, while maintaining stable performance across both in-sample and out-of-sample tests. This work advances the operational safety and efficiency of renewable-dominated complementary systems integrated into grids, offering an adaptive solution for real-time energy management under uncertainty. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Renewable Energy: An International Journal is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.renene.2025.124801
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Photovoltaic power generation
        Type: general
      – SubjectFull: Renewable energy sources
        Type: general
      – SubjectFull: Pumped storage power plants
        Type: general
      – SubjectFull: Robust optimization
        Type: general
      – SubjectFull: Uncertainty (Information theory)
        Type: general
      – SubjectFull: Resource allocation
        Type: general
    Titles:
      – TitleFull: Real-time dispatch of cascade hydropower-photovoltaic complementary system with hybrid pumped-storage based on Wasserstein distributionally robust optimization.
        Type: main
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            NameFull: Wang, Zizhao
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            NameFull: Li, Yang
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            NameFull: Wu, Feng
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            NameFull: Shi, Linjun
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            NameFull: Ding, Renshan
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            NameFull: He, Shengming
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          Dates:
            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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              Value: 09601481
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              Value: 257
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            – TitleFull: Renewable Energy: An International Journal
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