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The dynamics of cascading failures in spatial interdependent networks significantly depend on the interaction range of dependency couplings between layers. In particular, for increasing range of dependency couplings, different types of…

Physics and Society · Physics 2023-07-07 Bnaya Gross , Ivan Bonamassa , Shlomo Havlin

Cascading failures, wherein the failure of one component triggers subsequent failures in complex interconnected systems, pose a significant risk of disruptions and emerge across various domains. Understanding and mitigating the risk of such…

Probability · Mathematics 2024-03-19 Agnieszka Janicka , Fiona Sloothaak , Maria Vlasiou

Reasonably large perturbations may push a power grid from its stable synchronous state into an undesirable state. Identifying vulnerabilities in power grids by studying power grid stability against such perturbations can aid in preventing…

Adaptation and Self-Organizing Systems · Physics 2025-08-26 Calvin Alvares , Soumitro Banerjee

In a network, a local disturbance can propagate and eventually cause a substantial part of the system to fail, in cascade events that are easy to conceptualize but extraordinarily difficult to predict. Here, we develop a statistical…

Physics and Society · Physics 2017-02-07 Yang Yang , Takashi Nishikawa , Adilson E. Motter

Our society nowadays is governed by complex networks, examples being the power grids, telecommunication networks, biological networks, and social networks. It has become of paramount importance to understand and characterize the dynamic…

Power system blackouts are usually triggered by the initial contingency and then deteriorate as the branch outage spreads quickly. Thus, it is crucial to eliminate the propagation of cascading outages in its infancy. In this paper, a model…

Optimization and Control · Mathematics 2017-10-17 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

Real-world network systems, for example, power grids, are critical to modern economies. Due to the increasing system scale and complex dependencies inside of these networks, system failures can widely spread and cause severe damage. We have…

Physics and Society · Physics 2019-12-09 Jian Zhou , Stamatis Tsianikas , David W. Coit , Frank A. Felder

Many systems, ranging from engineering to medical to societal, can only be properly characterized by multiple interdependent networks whose normal functioning depends on one another. Failure of a fraction of nodes in one network may lead to…

Disordered Systems and Neural Networks · Physics 2015-05-13 Sergey V. Buldyrev , Roni Parshani , Gerald Paul , H. Eugene Stanley , Shlomo Havlin

Industry reliability rules increasingly require utilities to study and mitigate cascading failure risk in their system. Motivated by this, this paper describes how cascading failure risk, in terms of expected blackout size, varies with…

Optimization and Control · Mathematics 2013-11-18 Pooya Rezaei , Paul D. H. Hines

For large-scale power networks, the failure of particular transmission lines can offload power to other lines and cause self-protection trips to activate, instigating a cascade of line failures. In extreme cases, this can bring down the…

Physics and Society · Physics 2018-06-08 Charles Matthews , Bradly Stadie , Jonathan Weare , Mihai Anitescu , Christopher Demarco

Physical infrastructure systems supply crucial resources to residential, commercial, and industrial activities. These infrastructure systems generally consist of multiple types of infrastructure assets that are interdependent. In the event…

Optimization and Control · Mathematics 2024-07-25 Yijiang Li , Kibaek Kim , Sven Leyffer , Matt Menickelly , Lawrence Paul Lewis , Joshua Bergerson

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

Tipping points are critical thresholds of parameters where tiny perturbations can lead to abrupt and large qualitative changes in the systems. Many real-world systems that exhibit tipping behavior can be represented as networks of…

Chaotic Dynamics · Physics 2025-09-10 Richita Ghosh , Manish Dev Shrimali

We introduce a new microscopic model of the outages in transmission power grids. This model accounts for the automatic response of the grid to load fluctuations that take place on the scale of minutes, when the optimum power flow…

Physics and Society · Physics 2015-03-17 René Pfitzner , Konstantin Turitsyn , Michael Chertkov

Simulating potential cascading failures can be useful for avoiding or mitigating such events. Currently, existing steady-state analysis tools are ill-suited for simulating cascading outages as they do not model frequency dependencies, they…

Signal Processing · Electrical Eng. & Systems 2019-11-25 Amritanshu Pandey , Aayushya Agarwal , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Larry Pileggi

With the sharp increase of power demand, large-scale blackouts in power grids occur frequently around the world. Cascading failures are the main causes of network outages. Therefore, revealing the complicated cascade mechanism in grids is…

Systems and Control · Electrical Eng. & Systems 2019-07-31 Yubo Huang , Junguo Lu , Weidong Zhang

Blackouts in power grids typically result from cascading failures. The key importance of the electric power grid to society encourages further research into sustaining power system reliability and developing new methods to manage the risks…

Physics and Society · Physics 2014-02-18 Yakup Koç , Trivik Verma , Nuno A. M. Araujo , Martijn Warnier

This paper establishes and explores a framework to analyze the risk of cascading failures in a platoon of autonomous vehicles, accounting for communication time-delays and input uncertainty. Our proposed framework yields closed-form…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Guangyi Liu , Christoforos Somarakis , Nader Motee

This paper aims to identify and analyze the initial contingencies or disturbances that could lead to the worst-case cascading failures of power grids. An optimal control approach is proposed to determine the most disruptive disturbances on…

Systems and Control · Computer Science 2019-04-01 Chao Zhai , Gaoxi Xiao , Hehong Zhang

We study the cascading failures in a system composed of two interdependent square lattice networks A and B placed on the same Cartesian plane, where each node in network A depends on a node in network B randomly chosen within a certain…

Data Analysis, Statistics and Probability · Physics 2012-06-04 Wei Li , Amir Bashan , Sergey V. Buldyrev , H. Eugene Stanley , Shlomo Havlin