Stackelberg Game Optimization Strategy of Virtual Power Plants and Electric Vehicles Based on Conditional Value-at-Risk

[Objective] The large-scale integration of electric vehicles (EVs) presents potential flexibility and operational uncertainty in power systems. Virtual power plants (VPPs), as efficient paradigms for aggregating distributed energy resources, offer a feasible approach for coordinating EV participatio...

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Bibliographic Details
Main Author: MA Qianxin, JIA Heping, GUO Yuchen, LI Peijun, YANG Ye, LIU Dunnan, ZHAO Zhenyu
Format: Article
Language:zho
Published: Editorial Department of Electric Power Construction 2025-07-01
Series:Dianli jianshe
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Online Access:https://www.cepc.com.cn/fileup/1000-7229/PDF/1750819734399-1093811595.pdf
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Summary:[Objective] The large-scale integration of electric vehicles (EVs) presents potential flexibility and operational uncertainty in power systems. Virtual power plants (VPPs), as efficient paradigms for aggregating distributed energy resources, offer a feasible approach for coordinating EV participation in grid operations. This study proposed a bi-level optimization strategy based on a Stackelberg game to manage the interaction between VPPs and EV users under uncertainty.[Methods] A bi-level Stackelberg game model was developed in which the VPP acts as the leader and the EV users as followers. The upper-level model maximized the VPP profit while managing EV-related uncertainties via the conditional value at risk (CVaR). It sets risk-aware charging and discharging prices. The lower-level model minimized user costs by responding to these prices using a utility function that captures both cost satisfaction and charging experience. A particle swarm optimization algorithm was employed to solve the coupled model and identify the equilibrium strategies.[Results] A case study of a VPP system with wind, solar, storage, and 300 EVs demonstrated the effectiveness of the proposed approach. Compared to benchmark strategies, the model reduced the peak-valley load gap by up to 36.9%, lowered the average user cost by 28.79%, and enhanced profit stability under uncertainty.[Conclusions] The CVaR-based bi-level game framework effectively balances the VPP profit, EV user satisfaction, and system stability. It provides a risk-aware, market-oriented approach for flexible resource management and offers practical insights into future EV-grid integration strategies.
ISSN:1000-7229