电力网络拓扑与Ⅰ型相关不稳定平衡点的定量关系

The Quantitative Relationship Between The Topology of Network And The Controlling UEP-1 of Power System

本文针对电力系统结构保留模型，得到了Ⅰ型相关不稳定平衡点（即ＣｏｎｔｒｏｌｌｉｎｇＵＥＰ－１）与网络拓外的定量关系，即对于系统的每个ＣｏｎｔｒｏｌｌｉｎｇＵＥＰ—１必存在唯一的临界割集与之对应．

Based on the Sructure Preseting Model (SPM) of power systems, the quantitative relationship between the topology of network and controlling UEP-1 of sysstem is proved in this paper, i.e. there exists only one the critical cutset of network with respect to a controlling UEP-I of system. Meanwhile it is derived that the case of type-1 UEP of SPM Corresponds to the Jacobian matrix of load now equation which had only one cigenvalue with negtive real part.