JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2016, Vol. 46 ›› Issue (4): 41-46.doi: 10.6040/j.issn.1672-3961.0.2015.421

Previous Articles     Next Articles

Application of improved K-means clustering algorithm based on density in distribution network block partitioning

JI Xingquan1, HAN Guozheng1*, LI Kejun2, FU Rongrong1, ZHU Yanghe1   

  1. 1.College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, Shandong, China;
    2. College of Electrical Engineering, Shandong University, Jinan 250061, Shandong, China
  • Received:2015-12-20 Online:2016-08-20 Published:2015-12-20

PDF (PC)

785

Abstract: Based on the position, number and capacity of the electric substations in the urban medium voltage distribution network, an improved K-means clustering algorithm based on density was proposed. The two aspects in the selection of the initial cluster centers and the optimal cluster number K were improved. And the evaluation function based on intra-cluster variation and inter-cluster variation was proposed to evaluate the quality of clustering results. The distribution network was divided into some suitable distribution grids. The substations that were close in distance were divided into the same grid, and each grid was independent of power-supplying, which avoided the contact between the substations that were too far away and provided support for the optimization of the network structure in the distribution network. The results of calculated example showed the effectiveness of the proposed method.

Key words: K-means clustering algorithm, distribution network, electric substations, powersupplying block partition, evaluation function

CLC Number: 

  • TM715
[1] 肖峻, 崔艳妍, 王建民, 等. 配电网规划的综合评价指标体系与方法[J]. 电力系统自动化, 2008, 32(15):36-40. XIAO Jun, CUI Yanyan, WANG Jianmin, et al. A hierarchical performance assessment method on the distribution network planning[J]. Automation of Electric Power Systems, 2008, 32(15):36-40.
[2] 霍凯龙, 王主丁, 畅刚, 等. 目标年中压配电网规划实用方法[J]. 电网技术, 2013, 37(6):1769-1774. HUO Kailong, WANG Zhuding, CHANG Gang, et al. A practical method for medium voltage distribution network planning in target year[J]. Power System Technology, 2013, 37(6):1769-1774.
[3] 李智宇, 陈建福, 张尧. 基于优化分区的配电网规划研究及实践[J]. 广西电力, 2006(4):1-4. LI Zhiyu, CHEN Jianfu, ZHANG Yao. Study and practice about distribution network planning based on optimal partitioning[J]. Guangxi Electric Power, 2006(4):1-4.
[4] 宋蒙, 刘健, 刘巩权. 基于优化分区的城市配电网架规划[J]. 继电器, 2005, 33(23):31-35. SONG Meng, LIU Jian, LIU Gongquan. Urban distribution network planning based on optmial partitioning[J]. Reiay, 2005, 33(23):31-35.
[5] 韩俊, 谈健, 黄河, 等. 基于改进K-means聚类算法的供电块划分方法[J]. 电力自动化设备, 2015, 35(6):123-129. HAN Jun, TAN Jian, HUANG He, et al. Power-supplying block partition based on improved K-means clustering algorithm[J]. Electric Power Automation Equipment, 2015, 35(6):123-129.
[6] 杨丽徙, 王金凤, 王家耀. 基于Voronoi图的配电变压器定位和供电区域划分[J]. 测绘通报, 2004(5):33-35. YANG Lixi, WANG Jinfeng, WANG Jiayao. Locating of distribution transformers and power supply area plotting based on Voronoi diagrams[J]. Bulletin of Surveying and Mapping, 2004(5):33-35.
[7] 张新昌, 张项安, 刘星. 基于广义节点的配电网区域控制划分[J]. 电力系统保护与控制, 2014, 42(7):122-127. ZHANG Xinchang, ZHANG Xiangan, LIU Xing. Partition operation on distribution network based on theory of generalized node[J]. Power System Protection and Control, 2014, 42(7):122-127.
[8] 葛少云, 韩俊, 刘洪, 等. 基于供电能力的主变站间联络结构优化[J]. 电网技术, 2012, 36(8):129-135. GE Shaoyun, HAN Jun, LIU Hong, et al. Optimization of contact structure among main transformer stations in regional power network based on power supply capability [J]. Power System Technology, 2012, 36(8):129-135.
[9] 葛少云, 贾鸥莎. 配电变电站多阶段优化规划模型[J]. 电网技术, 2012, 36(10):113-118. GE Shaoyun, JIA Ousha. Multi-stage model for optimal distribution substation planning[J]. Power System Technology, 2012, 36(10):113-118.
[10] 王玉瑾, 王主丁, 张宗益, 等. 基于初始站址冗余网格动态减少的变电站规划[J]. 电力系统自动化, 2010, 34(12):39-43. WANG Yujin, WANG Zhuding, ZHANG Zongyi, et al. Substation planning based on initial substation site decrease in redundant meshes[J]. Automation of Electric Power Systems, 2010, 34(12):39-43.
[11] 彭文, 杜晓东, 石敏. 基于负荷区域划分的配电变电站规划模型[J]. 电力自动化设备, 2015, 33(1):112-117. PENG Wen, DU Xiaodong, SHI Min. Distribution substation planning model based on load region division[J]. Electric Power Automation Equipment, 2015, 33(1):112-117.
[12] 傅德胜, 周辰. 基于密度的改进K均值算法及实现[J]. 计算机应用, 2011, 31(2):432-434. FU Desheng, ZHOU Chen. Improved K-means algorithm and its implementation based on density[J]. Journal of Computer Applications, 2011, 31(2):432-434.
[13] JOSHI K D, NALWADE P S. Modified K-means for better initial centers[J]. International Journal of Computer Science and Mobile Computing, 2013, 2(7):219-223.
[14] SEYED Mahdi Mazhari.A new method for simultaneous determination of distribution substation optimal service areas and capacities using modified membership matrix [C] //International Conference on Environment and Electrical Engineering. Venice, Italy:IEEE Press, 2012:637-642.
[15] MA G W, XU Z H, ZHANG W, et al. An enriched K-means clustering method for grouping fractures with meliorated initial centers[J]. Arabian Journal of Geosciences, 2014:1-13.
[16] 徐平安, 唐雁, 石教开, 等. 基于薛定谔方程的K-means聚类算法[J]. 山东大学学报(工学版), 2015, 45(6):1-8. XU Pingan, TANG Yan, SHI Jiaokai, et al. K-means clustering algorithm based on the Schrodinger equation[J]. Journal of Shandong University(Engineering Science), 2015, 45(6):1-8.
[17] 唐小波, 刘笠, 张娟. 基于自适应权重Voronoi图的配电网供电分区方法[J]. 电力系统保护与控制, 2015, 43(19):83-88. TANG Xiaobo, LIU Li, ZHANG Juan. Method of power distribution network partition based on adaptive weighted Voronoi diagram[J]. Power System Protection and Control, 2015, 43(19):83-88.
[18] 屈刚, 程浩忠, 马则良, 等. 考虑联络线传输功率的双层分区多目标输电网规划[J]. 中国电机工程学报, 2009, 29(31):40-46. QU Gang, CHENG Haozhong, MA Zeliang, et al. Bi-level multi-objective transmission planning with consideration of tie-line power transfer capability[J]. Proceedings of the CSEE, 2009, 29(31):40-46.
[19] 张欣, 高卫国, 苏运. 基于函数型数据分析和K-means算法的电力用户分类[J]. 电网技术, 2015, 39(11):3153-3162. ZHANG Xin, GAO Weiguo, SU Yun. Electricity consumer archetypes study based on functional data analysis and K-means algorithm[J]. Power System Technology, 2015, 39(11):3153-3162.
[20] 张新猛, 蒋盛益. 一种基于相似度概率的不确定分类数据聚类算法[J]. 山东大学学报(工学版), 2011, 41(3):12-16. ZHANG Xinmeng, JIANG Shengyi. An algorithm for clustering uncertain categorical data based on similarity probability[J]. Journal of Shandong university(Engineering Science), 2011, 41(3):12-16.
[1] Shizhan SONG,Chuanyong WANG,Wenwen KANG,Jian ZHANG,Honghua YAN,Peng LI. PV installed capacity planning for power distribution network based on time series production simulation [J]. Journal of Shandong University(Engineering Science), 2018, 48(5): 131-136.
[2] CHU Xiaodong, TANG Maosen, GAO Xu, LIU Weisheng, JIA Shanjie, LI Sun. Robust optimal dispatch of active distribution networks based on centralized information system [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(6): 20-25.
[3] WANG Ming. Fault line selection method of distribution network based on the relative change rate in dominant bands [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2015, 45(4): 25-30.
[4] CHEN Jiming, SUN Mingyu, YOU Jujuan, KANG Zhongjian. Research of reactive power optimization based on subspace bacterial colony chemotaxis algorithm to in distribution networks with distributed generation#br# [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2014, 44(2): 49-54.
[5] WEI Yu-ke1, LI Jiang-ping2, DUAN Yang-guang1, LU Bo-sheng1. An auto-focus algorithm for the tongue image acquisition based on image processing [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2011, 41(4): 95-100.
[6] ZHAO Zhi-yan, LI Bo*. Research on a logistics distribution network location based on cost analysis [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(2): 138-142.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] LI Ke,LIU Chang-chun,LI Tong-lei . Medical registration approach using improved maximization of mutual information[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 107 -110 .
[2] YUE Yuan-Zheng. Relaxation in glasses far from equilibrium[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(5): 1 -20 .
[3] CHENG Daizhan, LI Zhiqiang. A survey on linearization of nonlinear systems[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 26 -36 .
[4] WANG Yong, XIE Yudong. Gas control technology of largeflow pipe[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 70 -74 .
[5] LIU Xin 1, SONG Sili 1, WANG Xinhong 2. [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 98 -100 .
[6] . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 104 -107 .
[7] CHEN Huaxin, CHEN Shuanfa, WANG Binggang. The aging behavior and mechanism of base asphalts[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 125 -130 .
[8] . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 131 -136 .
[9] LI Shijin, WANG Shengte, HUANG Leping. Change detection with remote sensing images based on forward-backward heterogenicity[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(3): 1 -9 .
[10] ZHAO Ke-Jun, WANG Xin-Jun, LIU Xiang, CHOU Yi-Hong. Algorithms of continuous top-k join query over structured overlay networks[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(5): 32 -37 .
Copyright 2018 © Editorial office of Journal of Shandong University (Engineering Science)
Supported by Beijing Magtech Co.Ltd