考虑静态能量分布的电力系统复杂网络特性研究

电力系统具有强非线性和时变性,电网结构在状态过渡中是否具有某种关键特性值得深入研究。在复杂网络研究基础上,结合静态能量函数理论,将支路静态势能作为边权引入电力系统复杂网络建模中,明确计入能量信息的网络参数物理意义。大量仿真表明,与结构拓扑特征相似,电力系统过渡状态亦在一定程度上具有如标度与小世界等典型的复杂网络特性,其支路势能分布存在指数型与幂律型统计特征,说明在电网状态转化过程中,某些线路或局部元件起到了比其他元件重要得多的作用。这一现象的发现将为研究电力系统不同稳定运行点过渡过程中,能量分布视角下的复杂电网动态演化过程提供新的思路。

An Investigation of Complex Network Characteristics of Power System Based on Static Energy Distribution

Based on the research of complex network and static energy theory, branch potential energy which is a transition variable was proposed as edge weight to be included in the complex network modeling of power system. Physical meaning of element information and network parameters was also analyzed. Simulation cases illustrate that, like topology distribution features, certain transition variables such as static branch energy ware proved to have typical complex network characteristics, such as scale and small-world. Exponential and power-law distribution ware found in the distribution process of static branch energy. The phenomenon means that there does exist some elements that play much more important role than others in the status transition process. It presents a new idea to study state evolution of power system from the perspective of static energy distribution.