基于复杂网络社团结构理论的同调等值算法

Coherency-based Dynamic Equivalence Algorithm with Community Structure of Complex Network Theory

基于复杂网络社团结构理论,提出了一种同调等值的新算法。首先构造动态电力网络的加权Laplace矩阵,在此基础上利用谱平分法分析系统故障后的Laplace矩阵,将系统划分为2个区域,其中同步能力弱化系数最小的机组所在的区域被选为研究区域,另一个则为外部区域。然后基于模块度的概念构建分区评价指标,并利用凝聚算法分析故障前的Laplace矩阵,将外部区域划分为多个等值分区。对IEEE39节点系统的仿真分析表明,所提出的同调等值算法能够自动确定研究区域和外部区域,自动确定外部区域中等值分区的数目,而且计算量小,迅速准确。

Based on the community structure theory of complex network, a new coherency-based dynamic equivalence algorithm is proposed. Firstly, a weighted Laplace matrix is constructed for the dynamic power grid. Based on this matrix, the system is divided into two zones by using the spectral bisection method. The zone containing generators with the least synchronizing weaken index is chosen as the study zone, and the other is taken as the external zone. Then the external zone is separated into several equivalent areas using aggregation method and modularity index. The simulation results on IEEE-39 bus system show that, the proposed algorithm can distinguish the study zone from the external zone automatically, and determine the area number and division scheme in external zone with little computation cost. and the method is fast and precise.