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Networked dynamical systems, i.e., systems of dynamical units coupled via nontrivial interaction topologies, constitute models of broad classes of complex systems, ranging from gene regulatory and metabolic circuits in our cells to…

Adaptation and Self-Organizing Systems · Physics 2024-03-12 Xiaozhu Zhang , Marc Timme

We propose a possible relation between complex networks and gravity. Our guide in our proposal is the power-law distribution of the node degree in network theory and the information approach to gravity. The established bridge may allow us…

General Physics · Physics 2012-11-30 J. A. Nieto

Electric power grids are at risk of being compromised by high-impact cyber-security threats such as coordinated, timed attacks. Navigating this new threat landscape requires a deep understanding of the potential risks and complex attack…

Cryptography and Security · Computer Science 2021-09-29 Ömer Sen , Dennis van der Velde , Katharina A. Wehrmeister , Immanuel Hacker , Martin Henze , Michael Andres

This letter deals with the controllability issue of complex networks. An index is chosen to quantitatively measure the extent of controllability of given network. The effect of this index is analyzed based on empirical studies on various…

Systems and Control · Computer Science 2017-03-08 Ning Cai

We live in a modern world supported by large, complex networks. Examples range from financial markets to communication and transportation systems. In many realistic situations the flow of physical quantities in the network, as characterized…

Disordered Systems and Neural Networks · Physics 2009-11-10 Adilson E. Motter , Ying-Cheng Lai

Transmission line failures in power systems propagate and cascade non-locally. In this work, we propose an adaptive control strategy that offers strong guarantees in both the mitigation and localization of line failures. Specifically, we…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Chen Liang , Linqi Guo , Alessandro Zocca , Steven H. Low , Adam Wierman

Network controllability robustness reflects how well a networked dynamical system can maintain its controllability against destructive attacks. This paper investigates the network controllability robustness from the perspective of a…

Physics and Society · Physics 2021-03-09 Yang Lou , Lin Wang , Guanrong Chen

Modern network-like systems are usually coupled in such a way that failures in one network can affect the entire system. In infrastructures, biology, sociology, and economy, systems are interconnected and events taking place in one system…

Data Analysis, Statistics and Probability · Physics 2010-12-02 S. Havlin , N. A. M. Araujo , S. V. Buldyrev , C. S. Dias , R. Parshani , G. Paul , H. E. Stanley

The increased integration of intermittent and decentralised forms of power production has eroded the stability margins of power grids and made it more challenging to ensure reliable and secure power transmission. Reliable grid operation…

Optimization and Control · Mathematics 2023-01-27 John M. Moloney , Sam J. Williamson , Cameron L. Hall

A complex network processing information or physical flows is usually characterized by a number of macroscopic quantities such as the diameter and the betweenness centrality. An issue of significant theoretical and practical interest is how…

Statistical Mechanics · Physics 2009-11-11 Xingang Wang , Ying-Cheng Lai , Chong Heng Lai

Despite significant anecdotal evidence regarding the vulnerability of the U.S. power infrastructure, there is a dearth of longitudinal and nation-level characterization of the spatial and temporal patterns in the frequency and extent of…

Physics and Society · Physics 2024-08-30 Bo Li , Junwei Ma , Femi Omitaomu , Ali Mostafavi

The application of graph neural networks (GNNs) to the domain of electrical power grids has high potential impact on smart grid monitoring. Even though there is a natural correspondence of power flow to message-passing in GNNs, their…

Among critical infrastructures, power grids and communication infrastructure are identified as uniquely critical since they enable the operation of all other sectors. Due to their vital role, the research community has undertaken extensive…

Networking and Internet Architecture · Computer Science 2023-08-17 Sangeetha Abdu Jyothi

We study the size distribution of power blackouts for the Norwegian and North American power grids. We find that for both systems the size distribution follows power laws with exponents $-1.65 \pm 0.05$ and $-2.0 \pm 0.1$ respectively. We…

Disordered Systems and Neural Networks · Physics 2009-11-11 Jan Øystein Haavig Bakke , Alex Hansen , János Kertész

Renewable energy productions and electrification of mobility are promising solutions to reduce greenhouse gas emissions. Their effective integration in a power grid encounters several challenges. The uncertain nature of renewable energy…

Systems and Control · Electrical Eng. & Systems 2023-01-11 Manijeh Alipour , Omid Alizadeh-Mousavi

The latest financial crisis has painfully revealed the dangers arising from a globally interconnected financial system. Conventional approaches based on the notion of the existence of equilibrium and those which rely on statistical…

Trading and Market Microstructure · Quantitative Finance 2019-12-12 V. Sasidevan , Nils Bertschinger

In this paper we propose an alternative approach for the assessment of network vulnerability under random and intentional attacks as compared to the results obtained from the "vulnerability function" given by Criado et al. [Criado et al.…

Computational Physics · Physics 2011-01-12 A. Yazdani , P. Jeffrey

What makes economic and ecological networks so unlike other highly skewed networks in their tendency toward turbulence and collapse? Here, we explore the consequences of a defining feature of these networks: their nodes are tied together by…

Physics and Society · Physics 2013-08-06 Jesse Shore , Catherine J. Chu , Matt T. Bianchi

Cascading failures in power systems normally occur as a result of initial disturbance or faults on electrical elements, closely followed by errors of human operators. It remains a great challenge to systematically trace the source of…

Systems and Control · Computer Science 2017-03-16 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

Microgrids are being increasing deployed to improve the operational flexibility, resilience, coordinated-energy management capabilities, self-adequacy, and increased reliability of power systems. This strong market growth is also driven by…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Sakshi Mishra , Kate Anderson , Brian Miller , Kyle Boyer , Adam Warren