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Experts from several disciplines have been widely using centrality measures for analyzing large as well as complex networks. These measures rank nodes/edges in networks by quantifying a notion of the importance of nodes/edges. Ranking aids…

Social and Information Networks · Computer Science 2020-11-04 Rishi Ranjan Singh

An analytic approximation for the critical clearing time (CCT) metric is derived from direct methods for power system stability. The formula has been designed to incorporate as many features of transient stability analysis as possible such…

Optimization and Control · Mathematics 2015-05-21 Lewis Roberts , Alan Champneys , Keith Bell , Mario di Bernardo

Diverse fault types, fast re-closures, and complicated transient states after a fault event make real-time fault location in power grids challenging. Existing localization techniques in this area rely on simplistic assumptions, such as…

Systems and Control · Computer Science 2019-05-20 Wenting Li , Deepjyoti Deka , Michael Chertkov , Meng Wang

Modern power systems face a grand challenge in grid management due to increased electricity demand, imminent disturbances, and uncertainties associated with renewable generation, which can compromise grid security. The security assessment…

Numerical Analysis · Mathematics 2021-03-02 Mazhar Ali , Elena Gryazina , Anatoly Dymarsky , Petr Vorobev

Most current studies estimate the invulnerability of complex networks using a qualitative method that analyzes the inaccurate decay rate of network efficiency. This method results in confusion over the invulnerability of various types of…

Social and Information Networks · Computer Science 2014-02-18 Jun Qin , Hongrun Wu , Xiaonian Tong , Bojin Zheng

We introduce a new measure of centrality, the information centrality C^I, based on the concept of efficient propagation of information over the network. C^I is defined for both valued and non-valued graphs, and applies to groups and classes…

Other Condensed Matter · Physics 2007-05-23 Vito Latora , Massimo Marchiori

We propose a new method to estimate the critical index $t$ for strength of networks of random fused conductors. It relies on a recently introduced expression for their yield strength. We confirm the results using finite size scaling. To…

Disordered Systems and Neural Networks · Physics 2008-08-06 J. S. Espinoza Ortiz , Gemunu H. Gunaratne

Centrality is one of the most fundamental metrics in network science. Despite an abundance of methods for measuring centrality of individual vertices, there are by now only a few metrics to measure centrality of individual edges. We modify…

Physics and Society · Physics 2019-09-25 Timo Bröhl , Klaus Lehnertz

This paper proposes a method of identifying single line outages in power systems based on phasor measurement unit (PMU) measurements and ac power flow models. In addition to the main identification algorithm, a rejection filter is…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Zhen Dai , Joseph Euzebe Tate

Due to the increasing share of renewable energy resources and the emergence of couplings of different energy carrier grids, which may support the electricity networks by providing additional flexibility, conducting research on the…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Rico Schrage , Astrid Nieße

Load shedding is the last and most expensive control action against system collapse and blackout. Achievement of an efficient emergency control to stabilize the power system following severe disturbances, requires two key objectives. First,…

Optimization and Control · Mathematics 2016-11-30 Bakhtyar Hoseinzadeh , M. Hadi Amini , Claus Leth Bak

Measures of complex network analysis, such as vertex centrality, have the potential to unveil existing network patterns and behaviors. They contribute to the understanding of networks and their components by analyzing their structural…

Social and Information Networks · Computer Science 2018-11-06 Felipe Grando , Diego Noble , Luis C. Lamb

Centrality metrics have become a popular concept in network science and optimization. Over the years, centrality has been used to assign importance and identify influential elements in various settings, including transportation,…

Social and Information Networks · Computer Science 2024-05-07 Mustafa Can Camur , Chrysafis Vogiatzis

To enhance the intelligence degree in operation and maintenance, a novel method for fault detection in power grids is proposed. The proposed GNN-based approach first identifies fault nodes through a specialized feature extraction method…

Machine Learning · Computer Science 2024-01-30 Hao Pei , Si Lin , Chuanfu Li , Che Wang , Haoming Chen , Sizhe Li

This letter proposes an AC/DC frequency-dependent power flow Jacobian analysis to identify the system support capabilities. In addition, the analyses reveal that system support capabilities do not necessarily enhance the system stability…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Dongyeong Lee , Eros Avdiaj , Jef Beerten

During major power system disturbances, when multiple component outages occur in rapid succession, it becomes crucial to quickly identify the transmission interconnections that have limited power transfer capability. Understanding the…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Reetam Sen Biswas , Anamitra Pal , Trevor Werho , Vijay Vittal

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

In order to identify the extent to which results from topological graph models are useful for modeling vulnerability in electricity infrastructure, we measure the susceptibility of power networks to random failures and directed attacks…

Physics and Society · Physics 2015-03-13 Paul Hines , Eduardo Cotilla-Sanchez , Seth Blumsack

Centrality is a key property of complex networks that influences the behavior of dynamical processes, like synchronization and epidemic spreading, and can bring important information about the organization of complex systems, like our brain…

Physics and Society · Physics 2019-01-24 Francisco Aparecido Rodrigues

The roles of different nodes within a network are often understood through centrality analysis, which aims to quantify the capacity of a node to influence, or be influenced by, other nodes via its connection topology. Many different…

Social and Information Networks · Computer Science 2020-07-01 Stuart Oldham , Ben Fulcher , Linden Parkes , Aurina Arnatkeviciute , Chao Suo , Alex Fornito