雅可比矩阵特征结构规律与二次电压控制的分区

通过潮流方程雅可比矩阵的特征结构规律分析,发现雅可比矩阵最小特征值对应特征向量与无功分布有密切关系,进而可以作为二次电压控制中区域划分的依据。通过简单系统分析说明上述规律的同时,针对39节点系统,在依据节点电气距离分区方法的基础上,进一步研究了无功分布与最小特征值对应特征向量间关系,以及与依据电气距离区域划分结果的关系,发现它们的一致性,且能揭示清楚的物理概念,表明雅可比矩阵特征结构规律与二次电压控制的分区间的有机联系。

Jacobian matrix eigenstructure variation mode of the load flow and network partition in the secondary voltage control

Analyzing Jacobian matrix eigenstructure variation mode of the load flow, this paper finds that the eigenvector determined by the minimum eigenvalue is closely related to reactive power distribution, which is the basis of network partition in secondary voltage control. This phenomenon is showed by a simple system. For the 39-bus system, the relations are studied among the eigenvector and the reactive power distribution, as well as the partition result based on the electrical distance. And their consistency is found and the physical concept revealed clearly which indicates their close connection. This project is supported by National Natural Science Foundation of China(No.50377021).