负荷作用下相依网络中的级联故障

研究负荷作用下相依网络中的级联故障具有重要的现实意义, 可为提高相依网络的鲁棒性提供参考. 构建了双层相依网络级联故障模型, 主要研究了外部度和内部度对负荷贡献比、耦合因素、层内度-度相关性对相依网络级联故障的影响. 研究表明, 当外部度和内部度对负荷贡献比达到一定值时, 相依网络抵抗级联故障的鲁棒性最强. 而耦合因素的影响是多方面的, 为了达到较高鲁棒性, 建议采用异配耦合方式和尽可能大的平均外部度, 并尽量使外部度保持均匀分布. 另外, 与不考虑负荷作用时相反, 当表征层内度-度相关性的相关系数越大时, 其抵抗级联故障的能力越强.

Load-induced cascading failure in interdependent network

The study of load-induced cascading failures in interdependent networks is of great realistic significance, which can provide valuable reference for designing high robust interdependent network or improving their robustness. In this paper, we establish a cascading model for a double layer interdependent network, and study the effects of the contributions of inter-degree and intra-degree to the loads, the coupling, and the intra-node linking similarity on the cascading failure in the interdependent network. Our studies show that when the contributions of inter-degree and intra-degree to the loads attain some values, the interdependent network reaches the highest robustness against cascading failures. As a notable feature for the interdependent network that is different from an isolated network, the coupling must have a significant influence on cascading failure in the interdependent network. In order to reach higher robustness, we suggest that the disassortative coupling be used and the inter-degree be made as homogeneous as possible under condition that a larger average inter-degree is adopted. In addition, we find that it is contrary to the case of neglecting loads that when the Pearson correlation coefficient for measuring the intra-layer degree-degree relation is larger, the interdependent network is more robust against cascading failures.