熊俊,汤凡,陈则名,王伊渺,梅涛
XIONG Jun,TANG Fan,CHEN Zeming,WANG Yimiao,MEI Tao

• 1:国家电网有限公司西南分部
• 2:中国电力工程顾问集团西南电力设计院有限公司

摘要(Abstract)：

为科学有效地确定稳控系统布局、精准识别分区断面，提升大规模电网运行的安全性，提出一种基于复杂网络耦合矩阵的电网分区方法。首先，基于电网潮流及无功-电压灵敏度构建电网复杂网络耦合矩阵，以表征有功运行特性和电压控制特性，实现有功、无功权重的双重量化；然后，建立电网分区质量的评价指标，量化分区结构强度、源荷匹配程度和调压控制效果，形成电网区域划分的结构性和功能性评价体系；最后，考虑电网实际运行特性与拓扑结构特征，对复杂网络理论的局部拓展算法进行适应性改进，以实现电网的非重叠最优区域划分。算例分析验证了所提分区方法的优越性和准确性。
To scientifically and effectively determine the layout of stability control systems, accurately identify partition interfaces, and enhance the operational security of large-scale power grids, this paper proposes a power grid partitioning method based on complex network coupling matrices. First, a complex network coupling matrix is constructed using grid power flow and reactive power-voltage sensitivity to represent active operation and voltage control features for dual-weight quantification of active and reactive power. Next, quality evaluation metrics for grid partitioning are developed to quantify partition structure strength, source-load matching, and voltage regulation effects, forming a structural and functional evaluation framework for grid partitioning. Finally, considering the grid's operational characteristics and topological features, the local expansion method of complex network theory is adaptively improved to achieve non-overlapping optimal grid partitioning. Case analysis validates the superiority and accuracy of the proposed method.

关键词(KeyWords)： 电网分区;复杂网络;局部拓展算法;无功-电压灵敏度;双重量化
grid partitioning;complex network;local expansion method;reactive power-voltage sensitivity;dual quantification

Abstract:

Keywords:

基金项目(Foundation): 国家电网有限公司西南分部科技项目（SGSW0000DKJ2310032）

作者(Author): 熊俊,汤凡,陈则名,王伊渺,梅涛
XIONG Jun,TANG Fan,CHEN Zeming,WANG Yimiao,MEI Tao

DOI: 10.19585/j.zjdl.202502008

参考文献(References)：

• [1]彭啸宇，沈怡，陆秋瑜，等.考虑风电出力不确定性的电网无功-电压控制鲁棒分区方法[J].电网技术，2023,47(10):4102-4111.PENG Xiaoyu,SHEN Yi,LU Qiuyu,et al. Robust varvoltage control partitioning for power grid considering wind power uncertainty[J]. Power System Technology,2023,47(10):4102-4111.
• [2]孙华东，许涛，郭强，等.英国“8·9”大停电事故分析及对中国电网的启示[J].中国电机工程学报，2019,39(21):6183-6192.SUN Huadong,XU Tao,GUO Qiang,et al.Analysis on blackout in great Britain power grid on August 9th,2019and its enlightenment to power grid in China[J].Proceedings of the CSEE,2019,39(21):6183-6192.
• [3]林伟芳，易俊，郭强，等.阿根廷“6.16”大停电事故分析及对中国电网的启示[J].中国电机工程学报，2020,40(9):2835-2842.LIN Weifang,YI Jun,GUO Qiang,et al. Analysis on blackout in Argentine power grid on June 16,2019 and its enlightenment to power grid in China[J]. Proceedings of the CSEE,2020,40(9):2835-2842.
• [4]朱丽萍，刘文颖，胡阳，等.计及高比例新能源电网分区的输电线路功率双层优化模型[J].智慧电力，2021,49(7):9-15.ZHU Liping,LIU Wenying,HU Yang,et al.Transmission line power bi-level optimization model considering high proportion new energy grid partition[J]. Smart Power,2021,49(7):9-15.
• [5]高炜伦，武志刚，苗璐，等.暂态电压稳定薄弱区域辨识的Louvain分区算法[J/OL].电力系统及其自动化学报，1-10(2023-11-21)[2024-05-23].https：//doi.org/10.19635/j.cnki.csu-epsa.001365.GAO Weilun,WU Zhigang,MIAO Lu,et al.Louvain partition algorithm for identifying weak region of transient voltage stability[J/OL].Proceedings of the CSU-EPSA,1-10(2023-11-21)[2024-05-23]. https：//doi. org/10.19635/j.cnki.csu-epsa.001365.
• [6]郑吉祥，钟俊.基于节点类型和分区耦合性的复杂网络无功电压快速分区方法[J].电网技术，2020,44(1):223-230.ZHENG Jixiang,ZHONG Jun.A complex network theory fast partition algorithm of reactive voltage based on node type and coupling of partitions[J].Power System Technology,2020,44(1):223-230.
• [7]李竹根，刘波峰，张晓飞，等.基于改进灰狼算法与隐枚举法的配电网分区故障定位研究[J].电测与仪表，2024,61(8):157-165.LI Zhugen,LIU Bofeng,ZHANG Xiaofei,et al.Research on sub-region fault location of distribution network based on improvedgrey wolf optimizer and implicit enumeration method[J]. Electrical Measurement&Instrumentation,2024,61(8):157-165.
• [8]何振武，姜飞，欧阳卫，等.基于自适应分区和SFVMDLSTM伪量测建模的新型配电系统抗差状态估计[J].电力建设，2024,45(10):78-89.HE Zhenwu,JIANG Fei,OUYANG Wei,et al.Novel distribution system robust state estimation based on adaptive partitioning and SFVMD-LSTM pseudo-measurement modeling[J].Electric Power Construction,2024,45(10):78-89.
• [9]魏震波，关翔友，刘梁豪.电网社区结构发现方法及其应用综述[J].电网技术，2020,44(7):2600-2609.WEI Zhenbo,GUAN Xiangyou,LIU Lianghao.Overview of power community structure discovery algorithms and their application in power grid analysis[J].Power System Technology,2020,44(7):2600-2609.
• [10] MULLER N,QUINTANA V K. A sparse eigenvaluebased approach for partitioning power networks[J].IEEE Transactions on Power Systems,1992,7(2):520-527.
• [11]丁道齐.用复杂网络理论分析电网连锁性大停电事故机理[J].中国电力，2007,40(11):25-32.DING Daoqi.Applying complex network theory to analyze mechanism of cascading large blackouts failure[J].Electric Power,2007,40(11):25-32.
• [12]魏震波，鞠啟，易刚春，等.基于改进LFM算法的主动解列断面搜索方法[J].智慧电力，2021,49(4):82-88.WEI Zhenbo,JU Qi,YI Gangchun,et al.Automatic splitting surface searching based on modified LFM algorithm[J].Smart Power,2021,49(4):82-88.
• [13]宋明刚，陶骏，张华赢，等.新能源接入配电网的电压无功自律-协同控制[J].电力系统及其自动化学报，2022,34(1):38-47.SONG Minggang,TAO Jun,ZHANG Huaying,et al.Autonomous-synergic control of reactive voltage of distribution network considering renewable energy access[J].Proceedings of the CSU-EPSA,2022,34(1):38-47.
• [14]余建树，李朝霞，龚雪娇，等.基于并行粒子群算法的电力系统分区抗差状态估计[J].电网技术，2022,46(8):3139-3148.YU Jianshu,LI Zhaoxia,GONG Xuejiao,et al. Robust state estimation of power system based on parallel particle swarm optimization and partition calculation[J]. Power System Technology,2022,46(8):3139-3148.
• [15]华昊辰，翟家祥，陈星莺，等.基于增强精英保留遗传算法的虚拟微网群动态划分及能量局域自治[J].中国电机工程学报，2024,44(12):4652-4666.HUA Haochen,ZHAI Jiaxiang,CHEN Xingying,et al.Dynamical partitioning and local energy autonomy of virtual microgrid groups based on strengthen elitist genetic algorithm[J]. Proceedings of the CSEE,2024,44(12):4652-4666.
• [16] NEWMAN M E J,GIRVAN M.Finding and evaluating community structure in networks[J].Physical Review E,2004,69(2):026113.
• [17]杨超，梁海平，顾雪平，等.多直流馈入异步受端电网恢复的分区方法[J].电力系统自动化，2019,43(10):162-170.YANG Chao,LIANG Haiping,GU Xueping,et al.Partition method for restoration of asynchronous receiving end power grid with multi-infeed HVDC[J]. Automation of Electric Power Systems,2019,43(10):162-170.
• [18]叶寅钢，欧阳利平，钟磊，等.基于改进谱聚算法考虑机组分组的电网恢复分区方法[J].浙江电力，2021,40(7):12-18.YE Yingang,OUYANG Liping,ZHONG Lei,et al.A partitioning method for power system restoration based on an improved spectral clustering considering unit grouping[J].Zhejiang Electric Power,2021,40(7):12-18.
• [19]凌汝晨，邵卜琳娜，李牧，等.基于复杂网络社团相似度的电网分区研究[J].浙江电力，2021,40(4):47-53.LING Ruchen,SHAO Bulinna,LI Mu,et al. Study of power grid partition based on the similarity of complex network communities[J]. Zhejiang Electric Power,2021,40(4):47-53.
• [20] NEWMAN M E J.Detecting community structure in networks[J].The European Physical Journal B,2004,38(2):321-330.
• [21]赵光远，吴旭东，刘友波.基于改进GN算法的电网关键输电断面辨识方法[J].智慧电力，2021,49(9):70-76.ZHAO Guangyuan,WU Xudong,LIU Youbo.Identification method of power grid key transmission sections based on improved GN algorithm[J]. Smart Power,2021,49(9):70-76.
• [22]赵晶晶，贾然，陈凌汉，等.基于深度学习和改进K-means聚类算法的电网无功电压快速分区研究[J].电力系统保护与控制，2021,49(14):89-95.ZHAO Jingjing,JIA Ran,CHEN Linghan,et al.Research on fast partition of reactive power and voltage based on deep learning and an improved K-means clustering algorithm[J].Power System Protection and Control,2021,49(14):89-95.
• [23] NEWMAN M E J. Finding community structure in networks using the eigenvectors of matrices[J].Physical Review E,2006,74(3):036104.
• [24]葛津铭，刘英儒，庞丹，等.含高渗透率光伏配电网的集群划分电压控制策略[J].高电压技术，2024,50(1):74-82.GE Jinming,LIU Yingru,PANG Dan,et al.Cluster division voltage control strategy of photovoltaic distribution network with high permeability[J]. High Voltage Engineering,2024,50(1):74-82.
• [25]李洋.分布式光伏接入下配电网分区与无功优化控制研究[D].合肥：安徽大学，2019.Li Yang.Research on distribution network partition and reactive power optimization control with Photovoltaic integration[D].Hefei:Anhui University,2019.
• [26]魏震波，关翔友，高红均，等.基于改进局部拓展算法的电力系统并行恢复分区方法[J].电力系统及其自动化学报，2020,32(5):62-68.WEI Zhenbo,GUAN Xiangyou,GAO Hongjun,et al.Partitioning method for parallel restoration of power system based on improved local fitness method[J].Proceedings of the CSU-EPSA,2020,32(5):62-68.
• [27]颜湘武，李若瑾，徐韵.考虑无功裕度的电压自适应分区方法及主导节点的选择[J].现代电力，2020,37(2):117-124.YAN Xiangwu,LI Ruojin,XU Yun.Voltage adaptive partitioning method and optimal pilot-node selection considering reactive power margin[J]. Modern Electric Power,2020,37(2):117-124.
• [28] NEWMAN M E J.Modularity and community structure in networks[J].Proceedings of the National Academy of Sciences of the United States of America,2006,103(23):8577-8582.