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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.
It is of great practical significance to study cascading failures in dependent networks under load and provide a reference for improving the robustness of dependent networks.Based on the cascading failure model of two-layer dependent networks, we mainly study the influence of external and internal levels on load Contribution ratio, coupling factor, and intra-layer degree-degree dependence on the cascading failures of the dependent networks.The results show that when the contribution ratio of external and internal loads to loads reaches a certain value, the robustness of the cascade of network-dependent cascading failures The strongest.And the influence of the coupling factors are many, in order to achieve high robustness, it is recommended to use the allometric coupling method and the largest average external degree, and try to keep the degree of external uniform distribution.In addition, On the other hand, when the correlation coefficient between the degree of correlation and the degree of correlation in the characterization layer is larger, the stronger its ability to resist cascading failures.