Voltage Control Partitioning Method for Active Distribution Network Based on Electrical Distance Matrix Eigenvalue Analysis

doi:DOI： 10.3969/j.issn.1000－7229.2018.01.011

Abstract

Abstract: ABSTRACT： In view of the shortcomings of the existing voltage control partitioning methods in determining the partitioning number, this paper proposes a partitioning method based on the analysis of electrical distance matrix eigenvalues. The method is applied to the active distribution network (ADN) partitioning, which can obtain the optimal partitioning number by analyzing electrical distance matrix eigenvalues. Firstly, we use the Newton-Raphson method to calculate power flow, obtain the voltage/reactive power sensitivity matrix, and process it to obtain the augmented voltage/reactive power sensitivity matrix. Then, we define the electrical distance according to the augmented voltage/reactive power sensitivity matrix, and obtain the electrical distance matrix. Besides, we establish an index describing the eigenvalues sequence of the electrical distance matrix as the basis to determine the number of the larger eigenvalues, which is the partitioning number. At last, we use agglomerate hierarchical clustering algorithm based on Ward distance to cluster the electrical distance matrix and obtain the partitioning results. Case simulation is given to prove the effectiveness and reasonability of the proposed method.

Key words: KEYWORDS： grid partitioning, active distribution network, analysis of matrix eigenvalues, optimal partitioning number, agglomerate hierarchical clustering algorithm

CLC Number:

TM 71

LU Lingzhi, GENG Guangfei, JI Yuqi, LI Xiulei, WEI Zirui. Voltage Control Partitioning Method for Active Distribution Network Based on Electrical Distance Matrix Eigenvalue Analysis[J]. Electric Power Construction, 2018, 39(1): 83-.

References

［1］赵波，王财胜，周金辉，等．主动配电网现状与未来发展［J］．电力系统自动化，2014，38(18)：125-135．

ZHAO Bo，WANG Caisheng，ZHOU Jinhui，et al．Present and future development trend of active distribution network［J］．Automation of Electric Power Systems，2014，38(18)：125-135．

［2］蔡宇，林今，万灿，等．市场环境下考虑降压节能调节的主动配电网运行优化策略［J］．电网技术，2016，40(10)：2951-2957．

CAI Yu，LIN Jin，WAN Can，et al．Optimal operation strategy for active distribution company with conservation voltage reduction in competitive electricity markets［J］．Power System Technology，2016，40(10)：2951-2957．

［3］GILL S，KOCKAR I，AULT G W．Dynamic optimal power flow for active distribution networks ［J］．IEEE Transactions on Power Systems，2014，29(1)：121-131．

［4］CHRISTIAN D，SAMUEL J，CHAD A．Global survey on planning and operation of active distribution networks-update of CIGRE C6.11 working group activities［C］//CIRED 2009 (20th International Conference and Exhibition on Electricity Distribution-Part 1)．Prague，Czech Republic：IET，2009：1-4．

［5］徐玉琴，李文帅，赵蓓蓓．基于改进汽车接力模型的电网分区方法［J］．电网技术，2016，40(11)：3546-3551．

XU Yuqin，LI Wenshuai，ZHAO Beibei．Power network partitioning method based on improved automotive relay［J］．Power System Technology，2016，40(11)：3546-3551．

［6］鲍威，朱涛，赵川，等．基于聚类分析的三阶段二级电压控制分区方法［J］．电力系统自动化，2016，40(5)：127-132．

BAO Wei，ZHU Tao，ZHAO Chuan，et al．A three-stage network partition method for secondary voltage control based on agglomerative analysis ［J］．Automation of Electric Power Systems， 2016，40(5)：127-132．

［7］颜伟，高峰，王芳，等．考虑区域负荷无功裕度的无功电压优化分区方法［J］．电力系统自动化，2015，32(9)：61-66．

YAN Wei，GAO Feng，WANG Fang，et al．An optimal network partitioning algorithm for reactive power and voltage control considering regional reactive power margin ［J］．Automation of Electric Power Systems，2015，32(9)：61-66．

［8］杨秀媛，董征，唐宝，等．基于模糊聚类分析的无功电压控制分区［J］．中国电机工程学报，2006，26(22)：6-10．

YANG Xiuyuan，DONG Zheng，TANG Bao，et al．Power network partitioning based on fuzzy clustering analysis［J］．Proceedings of the CSEE，2006，26(22)：6-10．

［9］王颖，彭建春，何禹清，等．模糊聚类法在二级电压控制分区中的应用［J］．电力系统保护与控制，2008，36(11)：28-32．

WANG Ying，PENG Jianchun，HE Yuqing，et al．Application of fuzzy clustering in sencondary voltage control partitioning［J］．Power System Protection and Control， 2008，36(11)：28-32．

［10］郭庆来，孙宏斌，张伯明，等．基于无功源控制空间聚类分析的无功电压分区［J］．电力系统自动化，2005，29(10)：36-40，54．

GUO Qinglai，SUN Hongbin，ZHANG Boming，et al．Power network partitioning based on clustering analysis in Mvar control space［J］． Automation of Electric Power Systems，2005，29(10)：36-40，54．

［11］潘高峰，王星华，彭显刚，等．基于社团结构理论的电网无功分区及主导节点选择方法研究［J］．电力系统保护与控制，2013，41(22)：32-37．

PAN Gaofeng，WANG Xinghua，PENG Xiangang，et al．Improved network partition and pilot node selection method for reactive power/voltage control based oncommunity detection algorithm ［J］．Power System Protection and Control，2013，41(22)：32-37．

［12］宫一玉，吴浩，杨克难．一种基于潮流追踪的电力系统无功控制分区方法［J］．电力系统自动化，2013，37(9)：29-33．

GONG Yiyu，WU Hao，YANG Kenan．A network partition method for power system reactive power control based on power flow tracing［J］．Automation of Electric Power Systems，2013，37(9)：29-33．

［13］赵晋泉，刘傅成，邓勇，等．基于映射分区的无功电压控制分区算法［J］．电力系统自动化，2010，34(7)：36-39，56．

ZHAO Jinquan，LIU Fucheng，DENG Yong，et al．Network partitioning for reactive power/voltage control based on a mapping division algorithm［J］．Automation of Electric Power Systems，2010，34(7)：36-39，56．

［14］魏震波，刘俊勇，程飞，等．利用社区挖掘的快速无功电压分区方法［J］．中国电机工程学报，2011，31(31)：166-172．

WEI Zhenbo，LIU Junyong，CHENG Fei，et al．Fast power network partitioning method in Mvar control space based on community wining［J］．Proceedings of the CSEE，2011，31(31)：166-172．

［15］乔梁，卢继平，黄蕙，等．含风电场的电力系统电压控制分区方法［J］．电网技术，2010，34(10)：163-168．

QIAO Liang，LU Jiping，HUANG Hui，et al．Voltage control partitioning for power containing grid-connected wind farms［J］．Power System Technology，2010，34(10)：163-168．

［16］周静，边海峰，贾晨，等．基于分区的含DG配电网实时无功优化［J］．电力系统保护与控制，2015，43(23)：117-124．

ZHOU Jing，BIAN Haifeng，JIA Chen，et al．Real-time reactive power optimization in distribution network with DG based on partitions ［J］．Power System Protection and Control，2015，43(23)：117-124．

［17］张玮亚，李永丽，孙广宇，等．基于静止同步补偿器的主动配电网分区电压控制［J］．中国电机工程学报，2015，35(7)：1644-1656．

ZHANG Weiya，LI Yongli，SUN Guangyu，et al．Zonal-voltage control for active distribution network based on distributed static synchronous compensator［J］．Proceedings of the CSEE，2015，35(7) ：1644-1656．

［18］杨建华．电力系统稳态分析与经济运行［M］．北京：中国电力出版社，2013：120-123．

［19］谭庞宁，斯坦巴克 M，库马尔 V．数据挖掘导论［M］．范明，范宏建，等译．北京：人民邮电出版社，2006：433-443．

［20］白志东，郑术蓉，姜丹丹．大维统计分析［M］．北京：高等教育出版社，2012：473-474．

［21］季玉琦，耿光飞，温渤婴．含分布式电源的配电网电压无功两级协调控制模式［J］．电网技术，2016，40(4)：1243-1248．

JI Yuqi，GENG Guangfei，WEN Boying．Two-level coordinated voltage and reactive power control with distributed generation in distribution network ［J］．Power System Technology，2016，40(4)：1243-1248．

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