Abstract

In our paper, we study the vulnerability in cascading failures of the real‐world network (power grid) under intentional attacks. Here, we use three indexes (B, K, k‐shell) to measure the importance of nodes; that is, we define three attacks, respectively. Under these attacks, we measure the process of cascade effect in network by the number of avalanche nodes, the time steps, and the speed of the cascade propagation. Also, we define the node’s bearing capacity as a tolerant parameter to study the robustness of the network under three attacks. Taking the power grid as an example, we have obtained a good regularity of the collapse of the network when the node’s affordability is low. In terms of time and speed, under the betweenness‐based attacks, the network collapses faster, but for the number of avalanche nodes, under the degree‐based attack, the number of the failed nodes is highest. When the nodes’ bearing capacity becomes large, the regularity of the network’s performances is not obvious. The findings can be applied to identify the vulnerable nodes in real networks such as wireless sensor networks and improve their robustness against different attacks.

Highlights

  • Nowadays, people’s daily life is increasingly dependent on electricity, but the failures and blackout happened in the electricity system has resulted in heavy losses and a huge impact on people’s lives

  • The current research on network robustness mainly includes these aspects: research based on power grid structure, analysis based on cascading effects, how to identify network attacks, and how to defend network attacks

  • We can draw some preliminary conclusions about the cascade effect

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Summary

Introduction

People’s daily life is increasingly dependent on electricity, but the failures and blackout happened in the electricity system has resulted in heavy losses and a huge impact on people’s lives. There are a lot of famous examples like the massive power failure on the West Coast of United States in September 2011, the breakdown of Ukraine’s electricity system under malicious attacks and the blackout in New York city in July 2019, and the massive power failure on the U.S. West Coast in 2019. To this day, the research on the power grid is still hot. The current research on network robustness mainly includes these aspects: research based on power grid structure, analysis based on cascading effects, how to identify network attacks, and how to defend network attacks.

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