Page 90 - 《中国电力》2026年第5期

第 59 卷 第 5 期 Vol. 59, No. 5
2026 年 5 月 ELECTRIC POWER May 2026

引用格式：李娜, 张强, 郝艺, 等. 电碳耦合市场下虚拟电厂与配电网协同优化运行模型[J]. 中国电力, 2026, 59(5): 86−96.
Citation: LI Na, ZHANG Qiang, HAO Yi, et al. Coordinated optimization operation model of virtual power plant and distribution network in the
electricity-carbon coupled market[J]. Electric Power, 2026, 59(5): 86−96.

电碳耦合市场下虚拟电厂与配电网协同优化运行模型

李娜 ，张强 ，郝艺 ，吴冠男 3
1
2
1
(1. 国网山东省电力公司电力科学研究院，山东 济南 250003；2. 国网山东省电力公司，山东 济南 250013；
3. 清华大学电机工程与应用电子技术系，北京 海淀 100084)

Coordinated optimization operation model of virtual power plant and
distribution network in the electricity-carbon coupled market

1
2
1
LI Na , ZHANG Qiang , HAO Yi , WU Guannan 3
(1. State Grid Shandong Electric Power Research Institute, Jinan 250003, China; 2. State Grid Shandong Electric Power Company, Jinan
250013, China; 3. Department of Electrical Engineering and Applied Electronics, Tsinghua University, Beijing 100084, China)

Abstract: To address the challenges of high-dimensional This work is supported by Science and Technology Project of
nonlinearity, multi-agent privacy protection, and computational State Grid Shandong Electric Power Co., Ltd. (No.52062625
efficiency in the collaborative optimization of VPP and 000T).
distribution networks under an electricity-carbon coupled Keywords: electricity-carbon coupled; virtual power plant;
environment, this paper proposes a distributed collaborative epigraph theory; coordinated operation
operation model based on epigraph theory. First, a framework
for electricity-carbon coupled market operations is established, 摘 要：针对电碳耦合环境下虚拟电厂（virtual power plant，
incorporating the modeling of diverse distributed energy VPP）与配电网协同优化面临的高维非线性、隐私保护及
resources, including renewable energy units and carbon capture 计算效率难题，提出一种基于上镜图理论的分布式协同
systems. Secondly, a quantitative bi-level mathematical model 运行模型。首先，构建涵盖新能源机组与碳捕集系统的
is formulated: the upper level aims to maximize the 电碳耦合市场框架及多元分布式能源模型；其次，建立
comprehensive benefits of the VPP within the electricity-carbon 双层数学模型，上层旨在实现虚拟电厂电碳市场综合效
market, while the lower level focuses on minimizing system 益最大化，下层通过优化购电与碳配额成本实现系统成
power purchase and carbon quota costs, with clearly defined 本最小化；最后，利用上镜图理论通过函数转化与等效
constraints for each level. Finally, by leveraging epigraph 投影建模，将原问题转化为高效的分布式求解形式，在
theory, the original problem is converted into an efficient 保障各主体隐私的同时突破非线性约束瓶颈。仿真结果
distributed solving form through function transformation and 表明，在 IEEE 33 节点系统中，相较于传统的双层模型求
equivalent projection modeling. This approach effectively 解，总运行收益提升 3.04%，与此同时，所提方法不仅提
bypasses nonlinear constraint bottlenecks while safeguarding 高了计算效率，还有效保护了各主体的隐私。
the privacy of participating entities. Simulation results on the 关键词：电碳耦合；虚拟电厂；上镜图理论；协同运行
IEEE 33-node system demonstrate that the proposed method DOI：10.11930/j.issn.1004-9649.202512012

achieves a 3.04% increase in total operating profit compared to
traditional bi-level model solutions, validating its effectiveness
0 引言
in enhancing both economic performance and computational
efficiency.
随着“双碳”目标不断推进以及可再生能源
收稿日期：2025−12−03； 修回日期：2026−04−17。 渗透率提升，电力系统正面临深度低碳化与高比
基金项目：国网山东省电力公司科技项目资助（52062625 例清洁能源接入的双重挑战。在这一背景下，虚
000T）。 拟电厂作为整合分布式能源、储能和灵活负荷的

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