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Stochastic processes can model many emerging phenomena on networks, like the spread of computer viruses, rumors, or infectious diseases. Understanding the dynamics of such stochastic spreading processes is therefore of fundamental interest.…

Social and Information Networks · Computer Science 2019-01-07 Gerrit Großmann , Verena Wolf

Cascading failures in power systems exhibit non-local propagation patterns which make the analysis and mitigation of failures difficult. In this work, we propose a distributed control framework inspired by the recently proposed concepts of…

Systems and Control · Computer Science 2019-04-22 Linqi Guo , Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

In this paper the interactions between component failures are quantified and the interaction matrix and interaction network are obtained. The quantified interactions can capture the general propagation patterns of the cascades from…

Systems and Control · Computer Science 2014-08-26 Junjian Qi , Kai Sun , Shengwei Mei

This article presents an application of the recently proposed logic operation of power based on power packetization. In a power packet dispatching system, the power supply can be considered as a sequence of power pulses, where the…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Shiu Mochiyama , Takashi Hikihara

A reliable supply of electricity is critical for our modern society and any large scale disturbance of the electrical system causes substantial costs. In 2015, one overloaded transmission line caused a cascading failure in the Turkish power…

Adaptation and Self-Organizing Systems · Physics 2019-10-04 Benjamin Schäfer , G. Cigdem Yalcin

We use observed transmission line outage data to make a Markov influence graph that describes the probabilities of transitions between generations of cascading line outages, where each generation of a cascade consists of a single line…

Physics and Society · Physics 2023-03-17 Kai Zhou , Ian Dobson , Zhaoyu Wang , Alexander Roitershtein , Arka P. Ghosh

Cascading failure in power systems is triggered by a small perturbation that leads to a sequence of failures spread through the system. The interconnection between different components in a power system causes failures to easily propagate…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Osman Boyaci , M. Rasoul Narimani , Katherine Davis , Erchin Serpedin

Sudden failure of a single transmission element in a power grid can induce a domino effect of cascading failures, which can lead to the isolation of a large number of consumers or even to the failure of the entire grid. Here we present…

Adaptation and Self-Organizing Systems · Physics 2016-09-14 Martin Rohden , Daniel Jung , Samyak Tamrakar , Stefan Kettemann

Cascading failures in power systems propagate non-locally, making the control and mitigation of outages extremely hard. In this work, we use the emerging concept of the tree partition of transmission networks to provide an analytical…

Systems and Control · Computer Science 2018-08-20 Linqi Guo , Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

This paper deals with the detection and prediction of losses due to cyber attacks waged on vital networks. The accumulation of losses to a network during a series of attacks is modeled by a 2-dimensional monotone random walk process as…

Probability · Mathematics 2019-01-23 Jewgeni H. Dshalalow , Ryan T. White

In our daily lives, we rely on the proper functioning of supply networks, from power grids to water transmission systems. A single failure in these critical infrastructures can lead to a complete collapse through a cascading failure…

Physics and Society · Physics 2021-06-03 Franz Kaiser , Vito Latora , Dirk Witthaut

We develop a systemic risk framework to explore cascading systemic failures in networked control systems. A time-delayed version of the vehicle platooning problem is used as a benchmark to study the interplay among network connectivity,…

Systems and Control · Electrical Eng. & Systems 2022-02-15 Guangyi Liu , Christoforos Somarakis , Nader Motee

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

Power grids vulnerability is a key issue in society. A component failure may trigger cascades of failures across the grid and lead to a large blackout. Complex network approaches have shown a direction to study some of the problems faced by…

Physics and Society · Physics 2013-04-22 Trivik Verma , Wendy Ellens , Robert E. Kooij

Transmission line failures in power systems propagate and cascade non-locally. This well-known yet counter-intuitive feature makes it even more challenging to optimally and reliably operate these complex networks. In this work we present a…

Optimization and Control · Mathematics 2021-05-12 Alessandro Zocca , Chen Liang , Linqi Guo , Steven H. Low , Adam Wierman

Modern urban resilience is threatened by cascading failures in multimodal transport networks, where localized shocks trigger widespread paralysis. Existing models, limited by their focus on pairwise interactions, often underestimate this…

Social and Information Networks · Computer Science 2025-09-18 Jinghua Song , Yuan Wang , Zimo Yan

This paper addresses how to improve the computational efficiency and estimation reliability in cascading outage analysis. We first formulate a cascading outage as a Markov chain with specific state space and transition probability by…

Systems and Control · Computer Science 2016-11-03 Jinpeng Guo , Feng Liu , Jianhui Wang , Junhao Lin , Shengwei Mei

Characterizing the emergence of chaotic dynamics of complex networks is an essential task in nonlinear science with potential important applications in many fields such as neural control engineering, microgrid technologies, and ecological…

Adaptation and Self-Organizing Systems · Physics 2024-04-29 Ricardo Chacón , Pedro J. Martínez

The topology of the network of load transmitting connections plays an essential role in the cascading failure dynamics of complex systems driven by the redistribution of load after local breakdown events. In particular, as the network…

Disordered Systems and Neural Networks · Physics 2023-11-21 G. Pál , Zs. Danku , A. Batool , V. Kádár , N. Yoshioka , N. Ito , G. Ódor , F. Kun

The emergence and evolution of real-world systems have been extensively studied in the last few years. However, equally important phenomena are related to the dynamics of systems' collapse, which has been less explored, especially when they…

Physics and Society · Physics 2019-09-27 Jie Li , Chengyi Xia , Gaoxi Xiao , Yamir Moreno
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