中文摘要：

研究美国西部电网在三种边攻击方式下级联失效差异性.定义边ij的初始负载为（kikj）θ,ki,kj分别表示节点i和j的度,θ为一可调参数.三种边攻击方式分别为：最小负载边攻击方式（LL）、最大负载边攻击方式（HL）和容量比最小边攻击方式（SPC）.通过分析电网的拓扑结构,研究三种攻击方式级联失效差异性.研究表明：HL和LL攻击方式下,受攻击边的范围不随θ而改变,HL的攻击效果随θ的增大而增强,LL的攻击效果随θ的增大而减弱.而SPC法选中的被攻击边随θ变化,当θ取值较小时,SPC攻击边是拓扑结构较特殊的一种最小负载边,随着θ的增大,SPC攻击边趋向于高负载边,因此θ较小时,SPC的攻击效果和LL接近,当θ较大时,SPC的攻击效果和HL接近.

英文摘要：

We study cascading failures of the western United States power grid under three attack strategies.Initial load of an edge ij is defined as（kikj）θ with ki and kj the degrees of nodes connected with the edge,where θ is a tunable parameter.Three attack strategies are LL（attack on edges with the lowest load）,SPC（attack on edges with the smallest proportion between total capacities of neighboring edges and capacity of the attacked edge） and HL（attack on edges with the highest load）.It is observed that cascading failure scales are quite different under three attack strategies with different θ.Analyzing topology of the power grid in detail,we study otherness of cascading failures under three attack strategies.It shows that select ranges of attacked edges are not varied with θ under strategies of HL and LL.Attack effect of HL is enhanced with increasing θ,however,attack effect of LL is weaken with increasing θ.Select ranges of attacked edges of SPC varies with θ.At a small θ,attacked edges of SPC are belong to LL with a special topology.As θ increased,attacked edges of SPC tend to those edges with relatively high loads.Consequently,attacked effect of SPC is close to that of LL with a small θ and it is close to that of HL with a great θ.