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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…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

A coordinated cyber-attack on grid meter readings and breaker statuses can lead to incorrect state estimation that can subsequently destabilize the grid. This paper studies cyber-attacks by an adversary that changes breaker statuses on…

Cryptography and Security · Computer Science 2016-11-17 Deepjyoti Deka , Ross Baldick , Sriram Vishwanath

Considering the attacks against the power grid, one of the most effective approaches could be the attack to the transmission lines that leads to large cascading failures. Hence, the problem of locating the most critical or vulnerable…

Machine Learning · Computer Science 2024-05-21 Tianxin Zhou , Xiang Li , Haibing Lu

Effective resistance, which originates from the field of circuits analysis, is an important graph distance in spectral graph theory. It has found numerous applications in various areas, such as graph data mining, spectral graph…

Numerical Analysis · Mathematics 2023-03-08 Zhiqiang Liu , Wenjian Yu

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…

Research on the vulnerability of electric networks with a complex network approach has produced significant results in the last decade, especially for transmission networks. These studies have shown that there are causal relations between…

Physics and Society · Physics 2024-09-11 Bálint Hartmann , Tamás Soha , Michelle T. Cirunay , Tímea Erdei

This article investigates the ability of graph neural networks (GNNs) to identify risky conditions in a power grid over the subsequent few hours, without explicit, high-resolution information regarding future generator on/off status (grid…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Yadong Zhang , Pranav M Karve , Sankaran Mahadevan

We consider the problem of predicting power failure cascades due to branch failures. We propose a flow-free model based on graph neural networks that predicts grid states at every generation of a cascade process given an initial contingency…

Systems and Control · Electrical Eng. & Systems 2024-04-26 Sathwik Chadaga , Xinyu Wu , Eytan Modiano

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

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

Using the linearized DC power flow model, we study cascading failures and their spatial and temporal properties in the US Western Interconnect (USWI) power grid. We also introduce the preferential Degree And Distance Attachment (DADA)…

Physics and Society · Physics 2016-09-26 Russell Spiewak , Sergey V. Buldyrev , Yakir Forman , Saleh Soltan , Gil Zussman

To mitigate climate change, the share of renewable energies in power production needs to be increased. Renewables introduce new challenges to power grids regarding the dynamic stability due to decentralization, reduced inertia, and…

Machine Learning · Computer Science 2026-05-06 Christian Nauck , Michael Lindner , Konstantin Schürholt , Frank Hellmann

Understanding and characterizing the vulnerability of urban infrastructures, which refers to the engineering facilities essential for the regular running of cities and that exist naturally in the form of networks, is of great value to us.…

Machine Learning · Computer Science 2023-08-02 Jinzhu Mao , Liu Cao , Chen Gao , Huandong Wang , Hangyu Fan , Depeng Jin , Yong Li

In this paper, we propose a perturbation framework to measure the robustness of graph properties. Although there are already perturbation methods proposed to tackle this problem, they are limited by the fact that the strength of the…

Social and Information Networks · Computer Science 2019-01-29 Yali Wan , Marina Meila

Power grids are critical infrastructures of paramount importance to modern society and, therefore, engineered to operate under diverse conditions and failures. The ongoing energy transition poses new challenges for the decision-makers and…

Machine Learning · Computer Science 2024-11-04 Anna Varbella , Kenza Amara , Blazhe Gjorgiev , Mennatallah El-Assady , Giovanni Sansavini

Load shedding is the last and most expensive control action against system collapse and blackout. Achievement of an efficient emergency control to stabilize the power system following severe disturbances, requires two key objectives. First,…

Optimization and Control · Mathematics 2016-11-30 Bakhtyar Hoseinzadeh , M. Hadi Amini , Claus Leth Bak

We study numerically the cascading failure problem by using artificially created scale-free networks and the real network structure of the power grid. The capacity for a vertex is assigned as a monotonically increasing function of the load…

Physics and Society · Physics 2016-09-08 Bing Wang , Beom Jun Kim

This study develops a novel predictive framework for power grid vulnerability based on the statistical signatures of Self-Organized Criticality (SOC). By analyzing the evolution of the power law critical exponents in outage size…

Applications · Statistics 2025-12-18 Mary Lai O. Salvaña , Gregory L. Tangonan

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

Local changes in the topology of electricity grids can cause overloads far away from the disturbance, making the prediction of the robustness against changes in the topology - for example caused by power outages or grid extensions - a…

Adaptation and Self-Organizing Systems · Physics 2016-07-19 Daniel Jung , Stefan Kettemann
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