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In studies on complex network systems using graph theory, eigen-analysis is typically performed on an undirected graph model of the network. However, when analyzing cascading failures in a power system, the interactions among failures…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Zhenping Guo , Xiaowen Su , Kai Sun , Byungkwon Park , Srdjan Simunovic

The risk of cascading blackouts greatly relies on failure probabilities of individual components in power grids. To quantify how component failure probabilities (CFP) influences blackout risk (BR), this paper proposes a sample-induced…

Optimization and Control · Mathematics 2017-11-08 Jinpeng Guo , Feng Liu , Jianhui Wang , Ming Cao , Shengwei Mei

Considering the attacks against the power grid, one of the most effective approaches could be the attack to the transmission lines that leads to large cascading failures. Hence, the problem of locating the most critical or vulnerable…

Machine Learning · Computer Science 2024-05-21 Tianxin Zhou , Xiang Li , Haibing Lu

Cascade failures in power grids occur when the failure of one component or subsystem causes a chain reaction of failures in other components or subsystems, ultimately leading to a widespread blackout or outage. Controlling cascade failures…

Physics and Society · Physics 2024-09-02 Géza Ódor , István Papp , Kristóf Benedek , Bálint Hartmann

Various social, financial, biological and technological systems can be modeled by interdependent networks. It has been assumed that in order to remain functional, nodes in one network must receive the support from nodes belonging to…

Physics and Society · Physics 2017-12-01 M. A. Di Muro , L. D. Valdez , H. H. A. Rêgo , S. V. Buldyrev , H. E. Stanley , L. A. Braunstein

Electric power-systems are one of the most important critical infrastructures. In recent years, they have been exposed to extreme stress due to the increasing demand, the introduction of distributed renewable energy sources, and the…

Physics and Society · Physics 2016-07-13 Antonio Scala , Pier Giorgio De Sanctis Lucentini

The functionality of an entity frequently necessitates the support of a group situated in another layer of the system. To unravel the profound impact of such group support on a system's resilience against cascading failures, we devise a…

Physics and Society · Physics 2024-08-05 Lei Chen , Chunxiao Jia , Run-Ran Liu , Fanyuan Meng

Recently, there has been a growing concern about the overload status of the power grid networks, and the increasing possibility of cascading failures. Many researchers have studied these networks to provide design guidelines for more robust…

Physics and Society · Physics 2012-12-27 Sakshi Pahwa , Caterina Scoglio , Noel Schulz

In the real world, the stable operation of a network is usually inseparable from the mutual support of other networks. In such an interdependent network, a node in one layer may depend on multiple nodes in another layer, forming a complex…

Social and Information Networks · Computer Science 2025-09-30 Cheng Qian , Dandan Zhao , Bo Zhang , Ming Zhong , Jianmin Han , Shenghong Li , Hao Peng , Wei Wang

We show how to use standard transmission line outage historical data to obtain the network topology in such a way that cascades of line outages can be easily located on the network. Then we obtain statistics quantifying how cascading…

Physics and Society · Physics 2016-11-23 Ian Dobson , Benjamin A. Carreras , David E. Newman , Jose M. Reynolds-Barredo

In many cases of attacks or failures, memory effects play a significant role. Therefore, we present a model that not only considers the dependencies between nodes but also incorporates the memory effects of attacks. Our research…

Physics and Society · Physics 2023-06-21 Yanpeng Zhu , Lei Chen , Fanyuan Meng , Chun-Xiao Jia , Run-Ran Liu

Overload-induced cascading failures can cause extreme disruptions in a wide range of networked systems, such as power grids, transportation networks, or financial systems. Empirical studies across domains report that the size of such…

Physics and Society · Physics 2026-01-06 Agnieszka Janicka , Fiona Sloothaak , Maria Vlasiou , Bert Zwart

Cascading failures are a critical vulnerability of complex information or infrastructure networks. Here we investigate the properties of load-based cascading failures in real and synthetic spatially-embedded network structures, and propose…

Physics and Society · Physics 2017-09-21 Alaa Moussawi , Noemi Derzsy , Xin Lin , Boleslaw K. Szymanski , Gyorgy Korniss

Random graphs have played an instrumental role in modelling real-world networks arising from the internet topology, social networks, or even protein-interaction networks within cells. Percolation, on the other hand, has been the fundamental…

Probability · Mathematics 2018-09-12 Souvik Dhara

We present a cascading failure model of two interdependent networks in which functional nodes belong to components of size greater than or equal to $s$. We find theoretically and via simulation that in complex networks with random…

Physics and Society · Physics 2016-10-17 M. A. Di Muro , S. V. Buldyrev , H. E. Stanley , L. A. Braunstein

Natural Disasters like hurricanes, floods or earthquakes can damage power grid devices and create cascading blackouts and islands. The nature of failure propagation and extent of damage is dependent on the structural features of the grid,…

Systems and Control · Computer Science 2015-09-25 Deepjyoti Deka , Sriram Vishwanath

Link failures in supply networks can have catastrophic consequences that can lead to a complete collapse of the network. Strategies to prevent failure spreading are thus heavily sought after. Here, we make use of a spanning tree formulation…

Physics and Society · Physics 2021-06-09 Franz Kaiser , Dirk Witthaut

We propose a dynamical model for cascading failures in single-commodity network flows. In the proposed model, the network state consists of flows and activation status of the links. Network dynamics is determined by a, possibly…

Systems and Control · Computer Science 2014-07-15 Ketan Savla , Giacomo Como , Munther A. Dahleh

The increased complexity of infrastructure systems has resulted in critical interdependencies between multiple networks---communication systems require electricity, while the normal functioning of the power grid relies on communication…

Physics and Society · Physics 2020-11-10 Michael M. Danziger , Albert-László Barabási

Cascading failures in complex systems have been studied extensively using two different models: $k$-core percolation and interdependent networks. We combine the two models into a general model, solve it analytically and validate our…

Physics and Society · Physics 2017-10-04 Nagendra K. Panduranga , Jianxi Gao , Xin Yuan , H. Eugene Stanley , Shlomo Havlin
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