引用本文: | 徐毅非,蒋文波,程雪丽.基于谱聚类的无功电压分区和主导节点选择[J].电力系统保护与控制,2016,44(15):73-78.[点击复制] |
XU Yifei,JIANG Wenbo,CHENG Xueli.Partitioning for reactive voltage based on spectral clustering and pilot nodes selection[J].Power System Protection and Control,2016,44(15):73-78[点击复制] |
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摘要: |
传统无功电压分区常采用基于潮流运算的聚类算法。该算法计算较复杂,且难以体现出电网拓扑结构。针对这些问题,提出一种基于复杂网络理论的谱聚类无功电压分区新算法。该算法首先基于电网的节点导纳矩阵构建无功电压分区模型,其次利用谱聚类对模型进行分析得到低维度聚类样本,再应用改进的K-means 聚类算法获取分区方案。为了确保分区方案的可行性,基于模块度、无功平衡与无功储备等三个指标建立了一个评价体系,并对分区方案进行校验。为了提高主导节点选择的准确度,引入了程度中心性评价指标。通过IEEE-39节点标准测试系统对算法进行仿真,仿真结果验证了算法的可行性与优越性。 |
关键词: 无功电压分区 复杂网络理论 谱聚类 K-means聚类 主导节点选择 |
DOI:10.7667/PSPC160052 |
投稿时间:2016-01-08修订日期:2016-03-21 |
基金项目:教育部春晖计划项目(Z2015106);西华大学研究生创新基金(ycjj-2015-210) |
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Partitioning for reactive voltage based on spectral clustering and pilot nodes selection |
XU Yifei,JIANG Wenbo,CHENG Xueli |
(School of Electrical Engineering and Electronic Information, Xihua University, Chengdu 610039, China) |
Abstract: |
Traditional partitioning algorithms for reactive voltage are often using clustering algorithm of power flow calculation. These algorithms have some problems, such as complex computation and unable to reflect the network structure of power grid. To figure out those problems, a new algorithm for voltage control partitioning is proposed based on spectral clustering of complex network. First, the model of voltage control partitioning is established using the imaginary part of nodal admittance matrix; second, the algorithm adopts spectral clustering to analyze the model to get the low dimension clustering samples; then power system is partitioned by the improving K-means clustering algorithm. To ensure the credibility of partitioning result, evaluation system with three indexes is established to calibrate the partitioning result, such as modularity, reactive power balance and reactive power reserve, etc. To improve the accuracy of pilot nodes selection, the evaluation index of degree centrality is introduced. The simulation result of IEEE 39-bus testing system shows that the new algorithm is of effectiveness and superiority. |
Key words: partitioning for reactive voltage complex network theory spectral clustering K-means algorithm pilot nodes selection |