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基于自监督学习的配电网分布式最优潮流求解OA

A Distributed Optimal Power Flow Solving Method for Distributed Network Based on Self-supervised Learning

中文摘要英文摘要

随着网架结构的复杂化,配电网分区自治已成为提升调度效率、可靠性与经济性的必要手段.然而,传统分布式凸优化算法逐渐难以适配新型配电网的高效运行需求.在此背景下,机器学习在配电网调度中得到越来越广泛的关注,但大量标注样本的需求限制了机器学习的实际应用.针对这一限制,该文提出一种融合交替方向乘子法(alternating direction method of multipliers,ADMM)的自监督学习算法,用于求解配电网分布式最优潮流.首先,建立融合 ADMM的自监督学习框架,通过两个相互独立的网络模拟 ADMM算法中全局变量与拉格朗日乘子交互迭代,实现网络间的相互监督,原始网络用于估计全局变量,对偶网络用于估计拉格朗日乘子;其次,考虑分布式最优潮流全局变量与边界变量的一致性,设计考虑一致性约束的损失函数,用于引导原始网络的训练,保证训练过程的收敛性;再次,基于卡罗需-库恩-塔克条件分析证明所提出方法的收敛性,并给出残差的上界;最后,在改进的 IEEE 123 节点系统及苏州实际276 节点配电系统验证提出方法的有效性.

With the increasing complexity of grid structures,the distribution network has become a necessary means to improve grid scheduling efficiency,reliability,and economy.However,traditional distributed convex optimization algorithms are gradually losing the ability to meet the efficient operation requirements.In this context,machine learning has gained increasing attention.But the requirement for a large number of labeled samples has limited the practical application of machine learning.Aiming at this limitation,this paper proposes a self-supervised learning algorithm integrating the alternating direction method of multipliers(ADMM)to solve the distributed optimal power flow for a distributed network.First,two independent neural networks are constructed to simulate the interactive iteration of global variables and Lagrange multipliers in the ADMM,achieving mutual supervision between networks.The primal network is used to estimate global variables,while the dual network is employed to estimate Lagrange multipliers.Then,this paper proposes a loss function considering consistency constraints to guide the training of the primal network and ensure the convergence of the training process.Third,the convergence of the proposed method is analyzed and proven based on the Karush-Kuhn-Tucker(KKT)conditions,and the upper bound of the residual is derived.Finally,this paper conducts simulation experiments on the modified IEEE 123 bus system and the actual 276 bus distribution network in Suzhou to verify the effectiveness of the proposed method.

龙寰;蔡辉煌;张晓;吴志;顾伟

东南大学电气工程学院,江苏省 南京市 210096东南大学电气工程学院,江苏省 南京市 210096东南大学电气工程学院,江苏省 南京市 210096东南大学电气工程学院,江苏省 南京市 210096东南大学电气工程学院,江苏省 南京市 210096

信息技术与安全科学

分布式最优潮流自监督学习交替方向乘子算法一致性约束卡罗需-库恩-塔克条件

distributed optimal power flowself-supervised learningalternating direction method of multipliersconsistency constraintsKarush-Kuhn-Tucker conditions

《中国电机工程学报》 2026 (11)

4416-4427,中插5,13

江苏省碳达峰碳中和科技创新专项(产业前瞻与关键核心技术攻关)(BE2023093-2)国家自然科学基金项目(62572116)中国科协青年人才托举工程(2023QNRC001).Jiangsu Industry Outlook and Key Technology Research Project Program(BE2023093-2)Project Supported by National Natural Science Foundation of China(62572116)Young Elite Scientists Sponsorship Program by CAST(2023QNRC001).

10.13334/j.0258-8013.pcsee.251124

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