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Article

Capacity Configuration Method for Hydro-Wind-Solar-Storage Systems Considering Cooperative Game Theory and Grid Congestion

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.
Keywords: hydro-wind-solar-storage system; cooperative game theory; Shapley value; grid congestion; capacity allocation; benefit distribution hydro-wind-solar-storage system; cooperative game theory; Shapley value; grid congestion; capacity allocation; benefit distribution

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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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