Predictability limit of cascades in interconnected models

Abstract

In addition, we also studied the cascading failures in a real-world resistor network model, which considers the spatial constraints of the European power grid. In the cascades triggered by a single-node removal, we introduced the stochastic capacity allocation to mitigate the potential damages. Moreover, in the cascades triggered by multiple-node removals, we detected a bimodal distribution of cascading damages as a function of total load and degree of initiators. If the spatial constraints of initiators decline, the cascading failures exhibit more randomness patterns, and the complicated topology is more difficult to predict the cascades than it is in standard structures. Decision makers can benefit from our analysis to design efficient mitigation strategies to protect the vulnerable parts of the system.