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This paper considers a model for cascades on random networks in which the cascade propagation at any node depends on the load at the failed neighbor, the degree of the neighbor as well as the load at that node. Each node in the network…

Physics and Society · Physics 2014-11-17 Srikanth K. Iyer , Rahul Vaze , Dheeraj Narasimha

Cascading failures pose a significant threat to power grids and have garnered considerable research interest in the power system domain. The inherent uncertainty and severe impact associated with cascading failures have raised concerns,…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Naeem Md Sami , Mia Naeini

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

Percolation theory characterizing the robustness of a network has applications ranging from biology, to epidemic spreading, and complex infrastructures. Percolation theory, however, only concern the typical response of a infinite network to…

Disordered Systems and Neural Networks · Physics 2018-02-28 Ginestra Bianconi

Robustness of routing policies for networks is a central problem which is gaining increased attention with a growing awareness to safeguard critical infrastructure networks against natural and man-induced disruptions. Routing under limited…

Systems and Control · Computer Science 2012-05-02 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

Complex networks have recently attracted much interest due to their prevalence in nature and our daily lives [1, 2]. A critical property of a network is its resilience to random breakdown and failure [3-6], typically studied as a…

Physics and Society · Physics 2016-01-08 James P. Bagrow , Sune Lehmann , Yong-Yeol Ahn

In this paper, we introduce a distributed control strategy to prevent dynamically-induced cascading failures in power grids. We model power grids using complex networks and nonlinear dynamics to provide a coarse-grained description of the…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Mattia Frasca , Lucia Valentina Gambuzza

This paper centers on the comparison of three different models that describe cascading failures of power systems. Specifically, these models are different in characterizing the physical properties of power networks and computing the branch…

Optimization and Control · Mathematics 2017-08-01 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

We use machine learning tools to model the line interaction of failure cascading in power grid networks. We first collect data sets of simulated trajectories of possible consecutive line failure following an initial random failure and…

Machine Learning · Computer Science 2022-07-07 Abdorasoul Ghasemi , Holger Kantz

We study the problem of wireless network resilience to node failures from a percolation-based perspective. In practical wireless networks, it is often the case that the failure probability of a node depends on its degree (number of…

Networking and Internet Architecture · Computer Science 2009-08-28 Zhenning Kong , Edmund M. Yeh

Multilayer networked systems are ubiquitous in nature and engineering, and the robustness of these systems against failures is of great interest. A main line of theoretical pursuit has been percolation induced cascading failures, where…

Social and Information Networks · Computer Science 2019-11-27 Run-Ran Liu , Chun-Xiao Jia , Ying-Cheng Lai

In this paper, we study cascading failures in power grids through the lens of information diffusion models. Similar to the spread of rumors or influence in an online social network, it has been observed that failures (outages) in a power…

Social and Information Networks · Computer Science 2024-06-14 Bin Xiang , Bogdan Cautis , Xiaokui Xiao , Olga Mula , Dusit Niyato , Laks V. S. Lakshmanan

Transmission line failures in power systems propagate non-locally, making the control of the resulting outages extremely difficult. In this work, we establish a mathematical theory that characterizes the patterns of line failure propagation…

Systems and Control · Electrical Eng. & Systems 2021-04-27 Linqi Guo , Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

Percolation is a concept widely used in many fields of research and refers to the propagation of substances through porous media (e.g., coffee filtering), or the behaviour of complex networks (e.g., spreading of diseases). Percolation…

Soft Condensed Matter · Physics 2015-12-02 Wolf B. Dapp , Martin H. Müser

Reliable functioning of infrastructure networks is essential for our modern society. Cascading failures are the cause of most large-scale network outages. Although cascading failures often exhibit dynamical transients, the modeling of…

Adaptation and Self-Organizing Systems · Physics 2020-08-18 Benjamin Schäfer , Dirk Witthaut , Marc Timme , Vito Latora

Percolation, the formation of a macroscopic connected component, is a key feature in the description of complex networks. The dynamical properties of a variety of systems can be understood in terms of percolation, including the robustness…

Statistical Mechanics · Physics 2013-06-24 Shane Squires , Katherine Sytwu , Diego Alcala , Thomas Antonsen , Edward Ott , Michelle Girvan

In this paper, we study the interdependency between the power grid and the communication network used to control the grid. A communication node depends on the power grid in order to receive power for operation, and a power node depends on…

Optimization and Control · Mathematics 2014-05-13 Marzieh Parandehgheibi , Eytan Modiano , David Hay

We propose a generic system model for a special category of interdependent networks, demand-supply networks, in which the demand and the supply nodes are associated with heterogeneous loads and resources, respectively. Our model sheds a…

Networking and Internet Architecture · Computer Science 2019-11-11 Seyyedali Hosseinalipour , Jiayu Mao , Do Young Eun , Huaiyu Dai

A characteristic property of networks is their ability to propagate influences, such as infectious diseases, behavioral changes, and failures. An especially important class of such contagious dynamics is that of cascading processes. These…

Physics and Society · Physics 2017-01-26 Adilson E. Motter , Yang Yang

Infrastructure systems, such as power, transportation, telecommunication, and water systems, are composed of multiple components which are interconnected and interdependent to produce and distribute essential goods and services. So, the…

Physics and Society · Physics 2021-10-14 Zahra Mahabadi , Liz Varga , Tom Dolan