不同耦合方式下相依网络的级联故障评估

摘要

To further analyze the effect of cascading failures of interdependent network,different interdependent networks are built by three coupling preferences:random coupling,assortative coupling and disassortative coupling,coupling edges of which are logical dependency.A new cascading failure model considering global load distribution is proposed,which assess the consequence of cascading failure from the maximum connected subgraph,iterative step and the distribution of overload nodes.Simulation results show:(1)Assortative interdependent network has a smaller proportion of the largest connected subgraph than other interdependent networks,and the non-largest connected subgraph of assortative interdependent network distincts from other interdependent networks;(2)With the increaseing of tolerance coefficient,the falling speed of iteration step of assortative interdependent network is slowliest,and different interdependent networks achieve the peak of iteration step when tolerance coefficient is equal to 0.1;(3)In the first iteration of the cascading failure,the failed nodes of different interdependent networks tend to select neighboring nodes of neighboring nodes of initial failed node,rather than neighbor nodes of the failed node.%为了更全面地评估级联故障对相依网络的影响,采用随机耦合、同配耦合和异配耦合3种不同的连边耦合方式,构建相依边为逻辑依赖的相依网络.提出一种新的负载全局分配的级联故障模型,从最大连通子图、迭代步长、过载节点分布等方面评估级联故障的结果.仿真结果表明:(1)同配相依网络比随机相依网络和异配相依网络有更小的最大连通子图占比,且非最大连通子图占比的差异非常显著;(2)容忍系数增大时,同配相依网络的迭代步长下降最为缓慢,不同耦合方式的相依网络在容忍系数取值0.1处均取到步长峰值;(3)不同耦合方式的相依网络在首次故障迭代时,过载节点倾向于选择初始故障节点的邻居节点的邻居节点,而非故障节点的邻居节点.