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

LI Na; ZHANG Qiang; HAO Yi; WU Guannan

doi:10.11930/j.issn.1004-9649.202512012

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

更新时间：2026-08-04

- Coordinated optimization operation model of virtual power plant and distribution network in the electricity-carbon coupled market
- Vol. 59, Issue 5, Pages: 86-96(2026)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：10.11930/j.issn.1004-9649.202512012
  CLC：
- Online First：15 May 2026，
  
  Published：2026
- 稿件说明：
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李娜, 张强, 郝艺, 吴冠男. 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.

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]. 2026, 59(5): 86-96.
李娜, 张强, 郝艺, 吴冠男. 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. DOI： 10.11930/j.issn.1004-9649.202512012.

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]. 2026, 59(5): 86-96. DOI： 10.11930/j.issn.1004-9649.202512012.

摘要

针对电碳耦合环境下虚拟电厂（virtual power plant，VPP）与配电网协同优化面临的高维非线性、隐私保护及计算效率难题，提出一种基于上镜图理论的分布式协同运行模型。首先，构建涵盖新能源机组与碳捕集系统的电碳耦合市场框架及多元分布式能源模型；其次，建立双层数学模型，上层旨在实现虚拟电厂电碳市场综合效益最大化，下层通过优化购电与碳配额成本实现系统成本最小化；最后，利用上镜图理论通过函数转化与等效投影建模，将原问题转化为高效的分布式求解形式，在保障各主体隐私的同时突破非线性约束瓶颈。仿真结果表明，在IEEE 33节点系统中，相较于传统的双层模型求解，总运行收益提升3.04%，与此同时，所提方法不仅提高了计算效率，还有效保护了各主体的隐私。

Abstract

To address the challenges of high-dimensional nonlinearity

multi-agent privacy protection

and computational efficiency in the collaborative optimization of VPP and distribution networks under an electricity-carbon coupled environment

this paper proposes a distributed collaborative operation model based on epigraph theory. First

a framework for electricity-carbon coupled market operations is established

incorporating the modeling of diverse distributed energy resources

including renewable energy units and carbon capture systems. Secondly

a quantitative bi-level mathematical model is formulated: the upper level aims to maximize the comprehensive benefits of the VPP within the electricity-carbon market

while the lower level focuses on minimizing system power purchase and carbon quota costs

with clearly defined constraints for each level. Finally

by leveraging epigraph theory

the original problem is converted into an efficient distributed solving form through function transformation and equivalent projection modeling. This approach effectively bypasses nonlinear constraint bottlenecks while safeguarding the privacy of participating entities. Simulation results on the IEEE 33-node system demonstrate that the proposed method achieves a 3.04% increase in total operating profit compared to traditional bi-level model solutions

validating its effectiveness in enhancing both economic performance and computational efficiency.

关键词

Keywords

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