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This paper aims to identify and analyze the initial contingencies or disturbances that could lead to the worst-case cascading failures of power grids. An optimal control approach is proposed to determine the most disruptive disturbances on…

Systems and Control · Computer Science 2019-04-01 Chao Zhai , Gaoxi Xiao , Hehong Zhang

With the sharp increase of power demand, large-scale blackouts in power grids occur frequently around the world. Cascading failures are the main causes of network outages. Therefore, revealing the complicated cascade mechanism in grids is…

Systems and Control · Electrical Eng. & Systems 2019-07-31 Yubo Huang , Junguo Lu , Weidong Zhang

In this work, we propose a control scheme for power grids subject to large perturbations that cause the failure of a node of the grid. Under such circumstances, the system may lose synchrony and, in addition, a cascade of line failures can…

Systems and Control · Electrical Eng. & Systems 2023-12-29 Simona Olmi , Lucia Valentina Gambuzza , Mattia Frasca

Understanding and analyzing cascading failures in power grids have been the focus of many researchers for years. However, the complex interactions among the large number of components in these systems and their contributions to cascading…

Physics and Society · Physics 2020-06-15 Upama Nakarmi , Mahshid Rahnamay Naeini , Md Jakir Hossain , Md Abul Hasnat

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

Dynamical simulation of the cascade failures on the EU and USA high-voltage power grids has been done via solving the second-order Kuramoto equation. We show that synchronization transition happens by increasing the global coupling…

Statistical Mechanics · Physics 2022-09-13 Géza Ódor , Shengfeng Deng , Bálint Hartmann , Jeffrey Kelling

Cascading failure of a power transmission system are initiated by an exogenous event that disable a set of elements (e.g., lines) followed by a sequence of interrelated failures (or more precisely, trips) of overloaded elements caused by…

Optimization and Control · Mathematics 2015-07-21 Daniel Bienstock , Guy Grebla

The world's power systems are undergoing a rapid transformation, shifting away from carbon-intensive power generation to renewable sources. As a result, electricity is being transported over ever longer distances, while the intrinsic system…

Measures of power grid vulnerability are often assessed by the amount of damage an adversary can exact on the network. However, the cascading impact of such attacks is often overlooked, even though cascades are one of the primary causes of…

Social and Information Networks · Computer Science 2023-10-06 Albert Lam , Mihai Anitescu , Anirudh Subramanyam

The North American power grid is one of the most complex technological networks, and its interconnectivity allows both for long-distance power transmission and for the propagation of disturbances. We model the power grid using its actual…

Other Condensed Matter · Physics 2009-11-10 Ryan Kinney , Paolo Crucitti , Reka Albert , Vito Latora

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

We propose a phase model to study cascade failure in power grids composed of generators and loads. If the power demand is below a critical value, the model system of power grids maintains the standard frequency by feedback control. On the…

Physics and Society · Physics 2015-06-05 Hidetsugu Sakaguchi , Tatsuma Matsuo

In a cascading power transmission outage, component outages propagate non-locally, after one component outages, the next failure may be very distant, both topologically and geographically. As a result, simple models of topological contagion…

Physics and Society · Physics 2018-05-14 Paul D. H. Hines , Ian Dobson , Pooya Rezaei

Power-law distributed cascade failures are well known in power-grid systems. Understanding this phenomena has been done by various DC threshold models, self-tuned at their critical point. Here we attempt to describe it using an AC threshold…

Adaptation and Self-Organizing Systems · Physics 2020-06-23 Géza Ódor , Bálint Hartmann

In this paper, we introduce a distributed control strategy to prevent dynamically-induced cascading failures in power grids. We model power grids using complex networks and nonlinear dynamics to provide a coarse-grained description of the…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Mattia Frasca , Lucia Valentina Gambuzza

We investigate the influence that adding a new coupling has on the linear stability of the synchronous state in coupled oscillators networks. Using a simple model we show that, depending on its location, the new coupling can lead to…

Adaptation and Self-Organizing Systems · Physics 2016-04-06 Tommaso Coletta , Philippe Jacquod

While weak, tuned asymmetry can improve, strong heterogeneity destroys synchronization in the electric power system. We study the level of heterogeneity, by comparing large high voltage (HV) power-grids of Europe and North America. We…

Physics and Society · Physics 2024-08-06 Bálint Hartmann , Géza Ódor , István Papp , Kristóf Benedek , Shengfeng Deng , Jeffrey Kelling

Reasonably large perturbations may push a power grid from its stable synchronous state into an undesirable state. Identifying vulnerabilities in power grids by studying power grid stability against such perturbations can aid in preventing…

Adaptation and Self-Organizing Systems · Physics 2025-08-26 Calvin Alvares , Soumitro Banerjee

Cascading failures in power systems propagate non-locally, making the control and mitigation of outages extremely hard. In this work, we use the emerging concept of the tree partition of transmission networks to provide an analytical…

Systems and Control · Computer Science 2018-08-20 Linqi Guo , Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

This paper centers on the comparison of three different models that describe cascading failures of power systems. Specifically, these models are different in characterizing the physical properties of power networks and computing the branch…

Optimization and Control · Mathematics 2017-08-01 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan