基于网络生长点的加权局域世界电力网络演化模型

摘要

Based on the local-world power grid evolving model, this paper selected network growing point via new approach of the combination of the gravity method and the random location approach, and presented a weighted local-world evolving network model considering network growing point for complex power grid which concentrated on the location of the substation and the amount of power capacity.The analysis of node degree distribution curve and the weight distribution curve indicates that new model can get the degree distribution of power law and node weight distribution of power law tail.Presented a simulation example in which different probability was illustrated for selecting network growing point with gravity method and random location approach, the node degree distribution curve would display a certain degree of scale-free properties, and the variation of probability would only impact on the tail of degree distribution curve.For the increasing influence of the gravity method, the weight of the node continues to enhance as the network growing time lasts and the distortion of the tail of the weight distribution curve reflects the violation of average distribution.%以变电站选址和定容为出发点,在局域世界电力网络演化模型的基础上,将重心选址法和随机选址法结合应用到网络生长点的选取中,提出了一种基于网络生长点的加权局域世界电力网络演化模型.对新模型的节点度分布和权重分布分析表明,新模型可以得到幂律分布的度分布和具有幂律尾的节点权重分布.通过仿真证实了重心法和随机法以不同的概率选取网络生长点时,节点度分布曲线仍然表现出一定的无标度特性,并且此概率的变化只是在度分布曲线尾部对度分布有影响;随着重心法因素的加强,部分节点随着网络生长时间的增长,节点权重越来越大,节点权重分布曲线的尾部畸变,不服从平均分布.