耦合网络边相继故障模型研究

Study on Cascading Failures' Model of Edge in Coupled Networks

针对耦合网络上频发的相继故障问题,通过分析边级联故障蔓延的动力学演化机制,构建耦合网络上边相继故障模型。以提高耦合网络整体抵制相继故障能力为出发点,依据不同度量指标,多角度分析具有不同耦合模式的耦合网络鲁棒性与模型参数之间的关联性,研究耦合网络间耦合模式和网络基本模型等因素对相继故障的影响,探讨耦合网络边相继故障模型的整体保护策略。研究结果表明,同配连接模式能够增强耦合网络抵制级联故障的鲁棒性;相互依赖的两个耦合网络之间拓扑结构越相似,网络抵制相继故障的鲁棒性越强;耦合网络鲁棒性与网络平均度正相关;适当的增加耦合网络间对称边数量,能够有效提高网络的鲁棒性。最后,应用边相继故障模型在耦合电力网络上进行实例分析。

In order to deal with cascading failures in coupled networks, this study analyzes the dynamics mechanism of cascading failures and propose the cascading failures＇ model of edge in coupled networks. To improve the robustness of coupled networks a- gainst cascading failures, according to different measures, this study takes multiple perspectives to analyze the correlation be- tween the robustness of coupled networks with different link patterns and some parameters in our model, this study then discusses the influences of link patterns of coupled networks and the basic network model on cascading failures and states the whole protec- tion strategies in the proposed model. This study finds： the assortative link pattern can enhance the robustness of coupled net- works against cascading failures; the more similar the topological structures of two interdependent networks, the stronger the net- work robustness against cascading failures; the robustness of coupled networks has a positive correlation with the average degree ; an appropriate increase in the number of symmetrical edges between two networks can improve the network robustness. Finally, the cascading failures＇ model of edge in the real coupled power grid is analyzed.