Collaborative Optimization Strategy for Multiple Virtual Power Plants Considering Uncertainty Risk and Energy Contribution

TANG Chenyang, WANG Lei, JIANG Weijian

Electric Power Construction ›› 2025, Vol. 46 ›› Issue (7) : 27-41.

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Electric Power Construction ›› 2025, Vol. 46 ›› Issue (7) : 27-41. DOI: 10.12204/j.issn.1000-7229.2025.07.003
Swarm Intelligent Operation and Optimal Control of Virtual Power Plant·Hosted by GAO Yang, SHANG Ce, HU Xiao, XIA Yuanxing, ZHENG Xiaodong, YANG Nan·

Collaborative Optimization Strategy for Multiple Virtual Power Plants Considering Uncertainty Risk and Energy Contribution

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Abstract

[Objective] In the context of high renewable energy penetration, the collaborative operation of multiple virtual power plants (VPPs) faces dual challenges: uncertainty risks and conflicts in benefit distribution. This study proposes a collaborative optimization strategy for multiple VPPs that integrates risk quantification with hybrid game theory by combining conditional value-at-risk (CVaR) and a multi-agent game framework. This approach provides a new perspective for collaborative VPP optimization in scenarios with high renewable energy integration.[Methods] First, a scenario analysis method combining Latin hypercube sampling (LHS) and Manhattan probability distance was designed to address the uncertainties in wind and solar output as well as electricity prices. CVaR was adopted to measure the impact of these uncertainty risks. Second, a Stackelberg game framework was constructed between the distribution system operator (DSO) and the VPP alliance, where the VPP alliance, based on cooperative game theory, established an asymmetric Nash bargaining model incorporating energy contributions. The model was then decomposed into two subproblems: maximizing alliance benefits and distributing cooperative benefits. Finally, the hybrid game model was solved using a combination of the bisection method and the alternating direction method of multipliers (ADMM).[Results] Simulation results demonstrate that the proposed coordinated optimization strategy for VPPs effectively enhances the operational economy of the VPP alliance and improves operational reliability and security under uncertainty.[Conclusions] The proposed strategy increased the flexibility of coordinated operations among multiple VPPs. By incorporating CVaR for risk quantification and multi-agent game theory, the strategy not only enhances overall system benefits but also ensures a fair distribution of cooperative gains. Moreover, VPPs can balance the risk-benefit trade-off based on their risk aversion coefficients, providing a valuable reference for rational dispatch decision-making.

Key words

virtual power plant(VPP) / hybrid game theory / conditional value-at-risk(CVaR) / asymmetric Nash bargaining

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TANG Chenyang , WANG Lei , JIANG Weijian. Collaborative Optimization Strategy for Multiple Virtual Power Plants Considering Uncertainty Risk and Energy Contribution[J]. Electric Power Construction. 2025, 46(7): 27-41 https://doi.org/10.12204/j.issn.1000-7229.2025.07.003

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Abstract
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Abstract
随着新能源规模的不断扩大以及各种资本进入电力市场,未来电网运行将呈现出多虚拟电厂(virtual power plant,VPP)相互合作并竞争的博弈格局。为解决电网优化运行和市场主体利益分配问题,本工作提出了基于纳什谈判的多能VPP间协同优化运行模型。首先,针对包含燃气轮机、热泵、多种储能装置、电热冷负荷等的多能VPP,构建基于纳什谈判理论的多能VPP群优化运行模型;其次,为解决复杂非凸非线性优化的求解问题,依据均值不等式将模型转化为多能VPP效益最大化和多能VPP间电能支付值两个子问题;再次,考虑到各VPP间信息隐私安全,采用交替方向乘子法(alternating direction method of multipliers,ADMM)对上述两个子问题进行分布式求解。本工作选取了三个多能VPP进行算例分析,结果表明本工作提出的优化方法可以实现在兼顾公平性的前提下提升各VPP的收益和整体收益。
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Multiple virtual power plants (VPP) will cooperate and compete with each other in the operation of the future power grid because of the constant growth of the scale of new energy sources and the entry of diverse capitals into the power market. A collaborative optimal operation model between multi-energy VPPs based on the Nash bargaining theory is proposed to solve the problem of optimal power grid operation and market players' interest distribution. First, for the multi-energy VPP, including the gas turbine, heat pump, various energy storage devices, electric load, thermal load, cooling load, etc., a multi-energy VPP group optimization operation model based on Nash negotiation theory is constructed. Second, to solve the complex non-convex nonlinear optimization problem, based on the mean value inequality, the model is transformed into two sub-problems of multi-energy VPP benefit maximization and energy payment value between multi-energy VPPs. Third, considering the information privacy and security between VPPs, the alternating direction method of multipliers (ADMM) is employed to solve the above two sub-problems in a distributed manner. Three multi-energy VPPs were selected for this study's example analysis. The results show that when fairness is considered, the optimization method proposed in this study can improve both the income and overall income of each VPP.

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National Natural Science Foundation of China(61873159)
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