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Open AccessArticle
Capacity Configuration Method for Hydro-Wind-Solar-Storage Systems Considering Cooperative Game Theory and Grid Congestion
by
Lei Cao
Lei Cao 1,
Jing Qian
Jing Qian 1,*,
Haoyan Zhang
Haoyan Zhang 1,
Danning Tian
Danning Tian 2 and
Ximeng Mao
Ximeng Mao 1
1
School of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China
2
School of Global Public Health, New York University, New York, NY 10012, USA
*
Author to whom correspondence should be addressed.
Energies 2025, 18(24), 6543; https://doi.org/10.3390/en18246543 (registering DOI)
Submission received: 2 November 2025
/
Revised: 25 November 2025
/
Accepted: 12 December 2025
/
Published: 14 December 2025
Abstract
Integrated hydro-wind-solar-storage (HWSS) bases are pivotal for advancing new power systems under the low carbon goals. However, the independent decision-making of diverse generation investors, coupled with limited transmission capacity, often leads to a dilemma in which individually rational decisions lead to collectively suboptimal outcomes, undermining overall benefits. To address this challenge, this study proposes a novel cooperative game-based method that seamlessly integrates grid congestion into capacity allocation and benefit distribution. First, a bi-level optimization model is developed, where a congestion penalty is explicitly embedded into the cooperative game’s characteristic function to quantify the maximum benefits under different coalition structures. Second, an improved Shapley value model is introduced, incorporating a comprehensive correction factor that synthesizes investment risk, congestion mitigation contribution, and capacity scale to overcome the fairness limitations of the classical method. Third, a case study of a high-renewable-energy base in Qinghai is conducted. The results demonstrate that the proposed cooperative model increases total system revenue by 20.1%, while dramatically reducing congestion costs and wind/solar curtailment rates by 86.2% and 79.3%, respectively. Furthermore, the improved Shapley value ensures a fairer distribution, appropriately increasing the profit shares for hydropower (from 28.5% to 32.1%) and energy storage, thereby enhancing coalition stability. This research provides a theoretical foundation and practical decision-making tool for the collaborative planning of HWSS bases with multiple investors.
Share and Cite
MDPI and ACS Style
Cao, L.; Qian, J.; Zhang, H.; Tian, D.; Mao, X.
Capacity Configuration Method for Hydro-Wind-Solar-Storage Systems Considering Cooperative Game Theory and Grid Congestion. Energies 2025, 18, 6543.
https://doi.org/10.3390/en18246543
AMA Style
Cao L, Qian J, Zhang H, Tian D, Mao X.
Capacity Configuration Method for Hydro-Wind-Solar-Storage Systems Considering Cooperative Game Theory and Grid Congestion. Energies. 2025; 18(24):6543.
https://doi.org/10.3390/en18246543
Chicago/Turabian Style
Cao, Lei, Jing Qian, Haoyan Zhang, Danning Tian, and Ximeng Mao.
2025. "Capacity Configuration Method for Hydro-Wind-Solar-Storage Systems Considering Cooperative Game Theory and Grid Congestion" Energies 18, no. 24: 6543.
https://doi.org/10.3390/en18246543
APA Style
Cao, L., Qian, J., Zhang, H., Tian, D., & Mao, X.
(2025). Capacity Configuration Method for Hydro-Wind-Solar-Storage Systems Considering Cooperative Game Theory and Grid Congestion. Energies, 18(24), 6543.
https://doi.org/10.3390/en18246543
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