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A networked system can fail when most of its components are unable to support flux through the nodes and edges. As studied earlier this scenario can be triggered by an external perturbation such as an intentional attack on nodes or for…

Statistical Mechanics · Physics 2026-05-15 Shaunak Roy , Vimal Kishore , M. S. Santhanam

Contemporary theories and models for electric power system stability are predicated on a widely held assumption that the mechanical inertia of the rotating mass of synchronous generators provides the sole contribution to stable and…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Amirhossein Sajadi , Bri-Mathias Hodge

While power systems are reliable infrastructures, their complex interconnectivities allow for propagation of disturbances through cascading failures which causes blackouts. Meanwhile the ever increasing penetration level of renewable…

Applied Physics · Physics 2017-07-03 Mir Hadi Athari , Zhifang Wang

In electric power systems delivering alternating current, it is essential to maintain its synchrony of the phase with the rated frequency. The synchronization stability that quantifies how well the power-grid system recovers its synchrony…

Physics and Society · Physics 2019-10-24 Heetae Kim , Mi Jin Lee , Sang Hoon Lee , Seung-Woo Son

This article reviews different kinds of models for the electric power grid that can be used to understand the modern power system, the smart grid. From the physical network to abstract energy markets, we identify in the literature different…

A reliable supply with electric power is vital for our society. Transmission line failures are among the biggest threats for power grid stability as they may lead to a splitting of the grid into mutual asynchronous fragments. New conceptual…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Maurizio Titz , Franz Kaiser , Johannes Kruse , Dirk Witthaut

Traffic fluctuation has so far been studied on unweighted networks. However many real traffic systems are better represented as weighted networks, where nodes and links are assigned a weight value representing their physical properties such…

Statistical Mechanics · Physics 2011-11-11 Yichao Zhang , Shi Zhou , Zhongzhi Zhang , Jihong Guan , Shuigeng Zhou , Guanrong Chen

A model for epidemics on an adaptive network is considered. Nodes follow an SIRS (susceptible-infective-recovered-susceptible) pattern. Connections are rewired to break links from non-infected nodes to infected nodes and are reformed to…

Populations and Evolution · Quantitative Biology 2009-11-13 Leah B. Shaw , Ira B. Schwartz

We report the statistical properties of the fluctuations of the energy flux in an electronic RC circuit driven with a stochastic voltage. The fluctuations of the power injected in the circuit are measured as a function of the damping rate…

Statistical Mechanics · Physics 2009-05-06 Claudio Falcón , Eric Falcon

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

Here we develop an approach to predict power grid weak points, and specifically to efficiently identify the most probable failure modes in static load distribution for a given power network. This approach is applied to two examples: Guam's…

Optimization and Control · Mathematics 2010-09-16 Michael Chertkov , Feng Pan , Mikhail G. Stepanov

Empirical estimation of critical points at which complex systems abruptly flip from one state to another is among the remaining challenges in network science. However, due to the stochastic nature of critical transitions it is widely…

Social and Information Networks · Computer Science 2014-07-09 B. Podobnik , T. Lipic , D. Horvatic , A. Majdandzic , S. Bishop , H. E. Stanley

Most complex systems are nonlinear, relying on emergent behavior from interacting subsystems, often characterized by oscillatory dynamics. Collective oscillatory behavior is essential for the proper functioning of many real world systems.…

Adaptation and Self-Organizing Systems · Physics 2024-07-03 Soumen Majhi , Biswambhar Rakshit , Amit Sharma , Jürgen Kurths , Dibakar Ghosh

A form of "remote synchronization" was recently described wherein amplitude fluctuations across a ring of non-identical, non-linear electronic oscillators become entrained into spatially-structured patterns. According to linear models and…

Chaotic Dynamics · Physics 2018-06-26 Ludovico Minati , Luca Faes , Mattia Frasca , Pawel Oswiecimka , Stanislaw Drozdz

We propose an analytical technique to study large fluctuations and switching from internal noise in complex networks. Using order-disorder kinetics as a generic example, we construct and analyze the most probable, or optimal path of…

Physics and Society · Physics 2017-09-07 Jason Hindes , Ira B. Schwartz

The synchronization stability of a complex network system of coupled phase oscillators is discussed. In case the network is affected by disturbances, a stochastic linearized system of the coupled phase oscillators may be used to determine…

Adaptation and Self-Organizing Systems · Physics 2023-03-31 Kaihua Xi , Zhen Wang , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen , Chenghui Zhang

Fluctuating wind energy makes a stable grid operation challenging. Due to the direct contact with atmospheric turbulence, intermittent short-term variations in the wind speed are converted to power fluctuations that cause transient…

Data Analysis, Statistics and Probability · Physics 2018-03-29 Hauke Haehne , Jannik Schottler , Matthias Waechter , Joachim Peinke , Oliver Kamps

Power-law networks such as the Internet, terrorist cells, species relationships, and cellular metabolic interactions are susceptible to node failures, yet maintaining network connectivity is essential for network functionality.…

Physics and Society · Physics 2015-05-08 Sarah LaRocca , Seth Guikema

Ensuring robustness and resilience in intermodal transportation systems is essential for the continuity and reliability of global logistics. These systems are vulnerable to various disruptions, including natural disasters and technical…

Credibly assessing the resilience of energy infrastructure in the face of natural disasters is a salient concern facing researchers, government officials, and community members. Here, we explore the influence of the spatial distribution of…

Physics and Society · Physics 2019-02-11 Benjamin Rachunok , Roshanak Nateghi
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