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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…

物理与社会 · 物理学 2013-08-06 Jesse Shore , Catherine J. Chu , Matt T. Bianchi

Power grids vulnerability is a key issue in society. A component failure may trigger cascades of failures across the grid and lead to a large blackout. Complex network approaches have shown a direction to study some of the problems faced by…

物理与社会 · 物理学 2013-04-22 Trivik Verma , Wendy Ellens , Robert E. Kooij

Electric power-systems are one of the most important critical infrastructures. In recent years, they have been exposed to extreme stress due to the increasing demand, the introduction of distributed renewable energy sources, and the…

物理与社会 · 物理学 2016-07-13 Antonio Scala , Pier Giorgio De Sanctis Lucentini

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

最优化与控制 · 数学 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

The scale-fee networks, having connectivity distribution $P(k)\sim k^{-\alpha}$ (where $k$ is the site connectivity), is very resilient to random failures but fragile to intentional attack. The purpose of this paper is to find the network…

统计力学 · 物理学 2009-11-11 Jian-Guo Liu , Zhong-Tuo Wang , Yan-Zhong Dang

The Weibull distribution is a commonly used model for the strength of brittle materials and earthquake return intervals. Deviations from Weibull scaling, however, have been observed in earthquake return intervals and in the fracture…

地球物理 · 物理学 2014-06-11 Dionissios T. Hristopulos , Manolis P. Petrakis , Giorgio Kaniadakis

The rapid advancement of technology underscores the critical importance of robustness in complex network systems. This paper presents a framework for investigating the structural robustness of interconnected network models. This paper…

物理与社会 · 物理学 2023-11-01 Dong Gaogao , Sun Nannan , Wang Fan

We construct and investigate Boolean networks that follow a given reliable trajectory in state space, which is insensitive to fluctuations in the updating schedule, and which is also robust against noise. Robustness is quantified as the…

生物物理 · 物理学 2010-12-02 Christoph Schmal , Tiago P. Peixoto , Barbara Drossel

With a simple model, we study the evolution of random networks under attack and reconstruction. We introduce a new quality, invulnerability I(s), to describe the stability of the system. We find that the network can evolve to a stationary…

无序系统与神经网络 · 物理学 2007-05-23 L. P. Chi , C. B. Yang , X. Cai

This paper is concerned with the problem of budget control in a large particle system modeled by stochastic differential equations involving hitting times, which arises from considerations of systemic risk in a regional financial network.…

概率论 · 数学 2023-08-30 Erhan Bayraktar , Gaoyue Guo , Wenpin Tang , Yuming Paul Zhang

We study the dynamics of a one-dimensional run and tumble particle subjected to confining potentials of the type $V(x) = \alpha \, |x|^p$, with $p>0$. The noise that drives the particle dynamics is telegraphic and alternates between $\pm 1$…

统计力学 · 物理学 2022-06-22 Abhishek Dhar , Anupam Kundu , Satya N. Majumdar , Sanjib Sabhapandit , Grégory Schehr

Extreme weather events and cyberattacks can cause component failures and disrupt the operation of power distribution networks (DNs), during which reconfiguration and load shedding are often adopted for resilience enhancement. This study…

系统与控制 · 电气工程与系统科学 2026-03-10 Roshni Anna Jacob , Prithvi Poddar , Jaidev Goel , Souma Chowdhury , Yulia R. Gel , Jie Zhang

Distribution grid reliability and resilience has become a major topic of concern for utilities and their regulators. In particular, with the increase in severity of extreme events, utilities are considering major investments in distribution…

最优化与控制 · 数学 2023-06-13 Alexandre Moreira , Miguel Heleno , Alan Valenzuela , Joseph H. Eto , Jaime Ortega , Cristina Botero

Energy systems resilience is becoming increasingly important as the frequency of major grid outages increases. In this work, we present a methodology to optimize a behind-the-meter distributed energy resource system to sustain a site's…

系统与控制 · 电气工程与系统科学 2021-06-29 Sakshi Mishra , Kate Anderson

A bundle of many fibers with stochastically distributed breaking thresholds is considered as a model of composite materials. The fibers are assumed to share the load equally, and to obey Hookean elasticity up to the breaking point. The…

材料科学 · 物理学 2015-05-19 Srutarshi Pradhan , Per C. Hemmer

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…

最优化与控制 · 数学 2010-09-16 Michael Chertkov , Feng Pan , Mikhail G. Stepanov

Peer to peer systems are the networks consisting of a group of nodes possible to be as wide as the Internet. These networks are required of evaluation mechanisms and distributed control and configurations, so each peer will be able to…

网络与互联网体系结构 · 计算机科学 2013-03-12 Farshad Safaei , Hamidreza Sotoodeh

Power systems are susceptible to natural threats including hurricanes and floods. Modern power grids are also increasingly threatened by cyber attacks. Existing approaches that help improve power system security and resilience may not be…

系统与控制 · 电气工程与系统科学 2021-07-08 Hao Huang , Varuneswara Panyam , Mohammad Rasoul Narimani , Astrid Layton , Katherine R. Davis

We study how large functional networks can grow stably under possible cascading overload failures and evaluated the maximum stable network size above which even a small-scale failure would cause a fatal breakdown of the network. Employing a…

物理与社会 · 物理学 2017-11-01 Shogo Mizutaka , Kousuke Yakubo

Increasing penetration of distributed energy resources complicate operations of electric power distribution systems by amplifying volatility of nodal power injections. On the other hand, these resources can provide additional control means…

最优化与控制 · 数学 2018-11-26 Robert Mieth , Yury Dvorkin