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Related papers: How modular structure determines operational resil…

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Experimental results often do not assess network structure; rather, the network structure is inferred by the dynamics of the nodes. From the dynamics of the nodes one then constructs a network of functional relations, termed the functional…

Adaptation and Self-Organizing Systems · Physics 2017-11-22 Jake Stroud , Mauricio Barahona , Tiago Pereira

The power grid defines one of the most important technological networks of our times and sustains our complex society. It has evolved for more than a century into an extremely huge and seemingly robust and well understood system. But it…

Physics and Society · Physics 2009-11-13 Ricard V. Solé , Martí Rosas-Casals , Bernat Corominas-Murtra , Sergi Valverde

Cascading failures are the typical reasons of black- outs in power grids. The grid topology plays an important role in determining the dynamics of cascading failures in power grids. Measures for vulnerability analysis are crucial to assure…

Physics and Society · Physics 2013-12-24 Yakup Koç , Martijn Warnier , Robert E. Kooij , Frances M. T. Brazier

Network motifs are often called the building blocks of networks. Analysis of motifs is found to be an indispensable tool for understanding local network structure, in contrast to measures based on node degree distribution and its functions…

Physics and Society · Physics 2017-08-23 Asim Kumer Dey , Yulia R. Gel , H. Vincent Poor

The dynamic response of power grids to small disturbances influences their overall stability. This paper examines the effect of network topology on the linearized time-invariant dynamics of electric power systems. The proposed framework…

Optimization and Control · Mathematics 2021-09-14 Siddharth Bhela , Harsha Nagarajan , Deepjyoti Deka , Vassilis Kekatos

The stable operation of the electric power grid relies on a precisely synchronized state of all generators and machines. All machines rotate at exactly the same frequency with fixed phase differences, leading to steady power flows…

Adaptation and Self-Organizing Systems · Physics 2020-01-09 Chiara Balestra , Franz Kaiser , Debsankha Manik , Dirk Witthaut

Synchronization is an essential element in three-phase ac electric power systems. The large-scale integration of converter-interfaced resources leads to the power grid transformation from voltage-source-dominated to…

Systems and Control · Electrical Eng. & Systems 2023-03-06 Yitong Li , Timothy C. Green , Yunjie Gu

We investigate the connection between the dynamics of synchronization and the modularity on complex networks. Simulating the Kuramoto's model in complex networks we determine patterns of meta-stability and calculate the modularity of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alex Arenas , Albert Diaz-Guilera

The integration of renewable energy sources in the course of the energy transition is accompanied by grid decentralization and fluctuating power feed-in characteristics. This raises new challenges for power system stability and design. We…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 Katrin Schmietendorf , Joachim Peinke , Rudolf Friedrich , Oliver Kamps

Given increasing risk from climate-induced natural hazards, there is growing interest in the development of methods that can quantitatively measure resilience in power systems. This work quantifies resilience in electric power transmission…

Physics and Society · Physics 2019-06-18 Molly Rose Kelly-Gorham , Paul. D. H. Hines , Ian Dobson

Cascading failures are one of the main reasons for blackouts in power transmission grids. The topology of a power grid, together with its operative state determine, for the most part, the robustness of the power grid against cascading…

Physics and Society · Physics 2015-06-18 Yakup Koç , Martijn Warnier , Piet Van Mieghem , Robert E. Kooij , Frances M. T. Brazier

In recent decades, the weather around the world has become more irregular and extreme, often causing large-scale extended power outages. Resilience -- the capability of withstanding, adapting to, and recovering from a large-scale disruption…

Applications · Statistics 2025-08-06 Shixiang Zhu , Rui Yao , Yao Xie , Feng Qiu , Yueming Qiu , Xuan Wu

Monitoring and modelling the power grid frequency is key to ensuring stability in the electrical power system. Many tools exist to investigate the detailed deterministic dynamics and especially the bulk behaviour of the frequency. However,…

Physics and Society · Physics 2021-05-04 Leonardo Rydin Gorjão , Luigi Vanfretti , Dirk Witthaut , Christian Beck , Benjamin Schäfer

Networked power grid systems are susceptible to a phenomenon known as Coherent Swing Instability (CSI), in which a subset of machines in the grid lose synchrony with the rest of the network. We develop network level evaluation metrics to…

Physics and Society · Physics 2019-05-24 Daniel Dylewsky , Xiu Yang , Alexandre Tartakovsky , J. Nathan Kutz

The integration of synchronous generators and energy storage systems operated through communication networks introduces new challenges and vulnerabilities to the electric grid, where cyber attacks can corrupt sensor measurements or control…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Jairo Giraldo , Masood Parvania

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

Several networks occurring in real life have modular structures that are arranged in an hierarchical fashion. In this paper, we have proposed a model for such networks, using a stochastic generation method. Using this model we show that,…

Physics and Society · Physics 2009-03-12 Raj Kumar Pan , Sitabhra Sinha

Complex networks often have a modular structure, where a number of tightly- connected groups of nodes (modules) have relatively few interconnections. Modularity had been shown to have an important effect on the evolution and stability of…

Physics and Society · Physics 2014-04-21 Saray Shai , Dror Y. Kenett , Yoed N. Kenett , Miriam Faust , Simon Dobson , Shlomo Havlin

The energy mix of future power systems will include high shares of wind power and solar PV. These generation facilities are generally connected via power-electronic inverters. While conventional generation responds dynamically to the state…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Philipp C. Böttcher , Leonardo Rydin Gorjão , Dirk Witthaut

We investigate topological and spectral properties of models of European and US-American power grids and of paradigmatic network models as well as their implications for the synchronization dynamics of phase oscillators with heterogeneous…

Physics and Society · Physics 2024-03-29 Max Potratzki , Timo Bröhl , Thorsten Rings , Klaus Lehnertz