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Article

Co-Optimization Strategy for VPPs Integrating Generalized Energy Storage Based on Asymmetric Nash Bargaining

1
Department of Electrical Engineering, University of Shanghai for Science and Technology, 516 Jungong Road, Yangpu District, Shanghai 200093, China
2
Shanghai Eneplus Intelligent Technology Co., Ltd., Shanghai 200333, China
*
Author to whom correspondence should be addressed.
Sustainability 2025, 17(23), 10470; https://doi.org/10.3390/su172310470 (registering DOI)
Submission received: 25 September 2025 / Revised: 30 October 2025 / Accepted: 21 November 2025 / Published: 22 November 2025

Abstract

With the in-depth construction of the new power system, the importance of demand-side resources is becoming more and more prominent. The virtual power plant (VPP) has become a powerful means to explore the potential value of distributed resources. However, the differentiated resources between different VPPs are not reasonably deployed, and the problem of realizing the sharing of resources and the distribution of revenues among multi-VPP needs to be urgently solved. A cooperative operation optimization strategy for multi-VPP to participate in the energy and reserve capacity markets is proposed, and the potential risks associated with uncertainty in distributed generators (DGs) output are quantitatively assessed using conditional value-at-risk (CVaR). Firstly, due to the good adjustable performance of electric vehicles (EVs) and thermostatically controlled loads (TCLs), their virtual energy storage (VES) models are established to participate in VPP scheduling. Secondly, based on the asymmetric Nash negotiation theory, a P2P trading method between VPPs in a multi-marketed environment is proposed, which is decomposed into a virtual power plant alliance (VPPA) benefit maximization subproblem and a cooperative revenue distribution subproblem. The alternating direction multiplier method is chosen to solve the model, which protects the privacy of each subject. Simulation results show that the proposed multi-VPP cooperative operation optimization strategy can effectively quantify the uncertainty risk, maximize the alliance benefit, and reasonably allocate the cooperative benefit based on the contribution size of each VPP.
Keywords: virtual power plant; generalized energy storage; P2P transaction; CVaR; asymmetric Nash bargain virtual power plant; generalized energy storage; P2P transaction; CVaR; asymmetric Nash bargain

Share and Cite

MDPI and ACS Style

Chen, T.; Sun, W.; Huang, H.; Hu, J. Co-Optimization Strategy for VPPs Integrating Generalized Energy Storage Based on Asymmetric Nash Bargaining. Sustainability 2025, 17, 10470. https://doi.org/10.3390/su172310470

AMA Style

Chen T, Sun W, Huang H, Hu J. Co-Optimization Strategy for VPPs Integrating Generalized Energy Storage Based on Asymmetric Nash Bargaining. Sustainability. 2025; 17(23):10470. https://doi.org/10.3390/su172310470

Chicago/Turabian Style

Chen, Tingwei, Weiqing Sun, Haofang Huang, and Jinshuang Hu. 2025. "Co-Optimization Strategy for VPPs Integrating Generalized Energy Storage Based on Asymmetric Nash Bargaining" Sustainability 17, no. 23: 10470. https://doi.org/10.3390/su172310470

APA Style

Chen, T., Sun, W., Huang, H., & Hu, J. (2025). Co-Optimization Strategy for VPPs Integrating Generalized Energy Storage Based on Asymmetric Nash Bargaining. Sustainability, 17(23), 10470. https://doi.org/10.3390/su172310470

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