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We model the robustness against random failure or intentional attack of networks with arbitrary large-scale structure. We construct a block-based model which incorporates --- in a general fashion --- both connectivity and interdependence…

Physics and Society · Physics 2012-09-25 Tiago P. Peixoto , Stefan Bornholdt

Robustness in response to unexpected events is always desirable for real-world networks. To improve the robustness of any networked system, it is important to analyze vulnerability to external perturbation such as random failures or…

Social and Information Networks · Computer Science 2017-02-01 Alan Kuhnle , Nam P. Nguyen , Thang N. Dinh , My T. Thai

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

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

The design of robust supply and distribution systems is one of the fundamental challenges at the interface of network science and logistics. Given the multitude of performance criteria, real-world constraints, and external influences acting…

Social and Information Networks · Computer Science 2021-12-07 Alexey Lyutov , Yilmaz Uygun , Marc-Thorsten Hütt

Power grids sustain modern society by supplying electricity and thus their stability is a crucial factor for our civilization. The dynamic stability of a power grid is usually quantified by the probability of its nodes' recovery to phase…

Chaotic Dynamics · Physics 2018-11-14 Heetae Kim , Sang Hoon Lee , Jörn Davidsen , Seung-Woo Son

In a cascading power transmission outage, component outages propagate non-locally, after one component outages, the next failure may be very distant, both topologically and geographically. As a result, simple models of topological contagion…

Physics and Society · Physics 2018-05-14 Paul D. H. Hines , Ian Dobson , Pooya Rezaei

From transportation networks to complex infrastructures, and to social and economic networks, a large variety of systems can be described in terms of multiplex networks formed by a set of nodes interacting through different network layers.…

Social and Information Networks · Computer Science 2015-09-15 Dawei Zhao , Lianhai Wang , Zhen Wang

This paper explores a variety of strategies for understanding the formation, structure, efficiency and vulnerability of water distribution networks. Water supply systems are studied as spatially organized networks for which the practical…

Physics and Society · Physics 2011-04-04 A. Yazdani , P. Jeffrey

The increasing penetration of renewable energy sources introduces significant variability and uncertainty in modern power systems, making accurate state prediction critical for reliable grid operation. Conventional forecasting methods often…

Machine Learning · Computer Science 2025-04-01 Dhruv Suri , Mohak Mangal

Robust operation of power transmission grids is essential for most of today's technical infrastructure and our daily life. Adding renewable generation to power grids requires grid extensions and sophisticated control actions on different…

Adaptation and Self-Organizing Systems · Physics 2018-08-29 Eder Batista Tchawou Tchuisseu , Damià Gomila , Pere Colet , Dirk Witthaut , Marc Timme , Benjamin Schäfer

We review selected results related to robustness of networked systems in finite and asymptotically large size regimes, under static and dynamical settings. In the static setting, within the framework of flow over finite networks, we discuss…

Systems and Control · Electrical Eng. & Systems 2019-09-17 Ketan Savla , Jeff S. Shamma , Munther A. Dahleh

Complex networks can be understood as graphs whose connectivity deviates from those of regular or near-regular graphs, which are understood as being `simple'. While a great deal of the attention so far dedicated to complex networks has been…

Data Analysis, Statistics and Probability · Physics 2008-08-29 Luciano da Fontoura Costa , Francisco A. Rodrigues

The transmission grid is often comprised of several control areas that are connected by multiple tie lines in a mesh structure for reliability. It is also well-known that line failures can propagate non-locally and redundancy can exacerbate…

Systems and Control · Electrical Eng. & Systems 2020-04-23 Chen Liang , Linqi Guo , Alessandro Zocca , Shuyue Yu , Steven H. Low , Adam Wierman

To mitigate climate change, the share of renewable energies in power production needs to be increased. Renewables introduce new challenges to power grids regarding the dynamic stability due to decentralization, reduced inertia, and…

Machine Learning · Computer Science 2026-05-06 Christian Nauck , Michael Lindner , Konstantin Schürholt , Frank Hellmann

We probe the stability of Watts-Strogatz DC microgrids, in which droop-controlled producers and constant power load consumers are homogeneously distributed and obey Kirchhoff's circuit laws. The concept of survivability is employed to…

Physics and Society · Physics 2020-04-23 Julian F. Wienand , David Eidmann , Julian Kremers , Jobst Heitzig , Frank Hellmann , Jürgen Kurths

This paper investigates the resilience of mobile communication networks during the extreme flooding that affected Rio Grande do Sul, Brazil, in May 2024. Based on regulatory data and technical insights from operators, the study identifies…

Networking and Internet Architecture · Computer Science 2025-09-11 Daniel Meyer , Lisandro Z Granville , Leandro M. Bertholdo

Efficient outage location is critical to enhancing the resilience of power distribution systems. However, accurate outage location requires combining massive evidence received from diverse data sources, including smart meter (SM) last gasp…

Signal Processing · Electrical Eng. & Systems 2021-05-11 Yuxuan Yuan , Kaveh Dehghanpour , Zhaoyu Wang , Fankun Bu

A central issue in the study of large complex network systems, such as power grids, financial networks, and ecological systems, is to understand their response to dynamical perturbations. Recent studies recognize that many real networks…

Adaptation and Self-Organizing Systems · Physics 2022-07-26 Chao Duan , Takashi Nishikawa , Deniz Eroglu , Adilson E. Motter

A complex network is said to show topological isotropy if the topological structure around a particular node looks the same in all directions of the whole network. Topologically anisotropic networks are those where the local neighborhood…

Statistical Mechanics · Physics 2013-04-02 Ernesto Estrada
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