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We address the problem of maintaining high voltage power transmission networks in security at all time. This requires that power flowing through all lines remain below a certain nominal thermal limit above which lines might melt, break or…

Physics and Society · Physics 2018-05-08 Benjamin Donnot , Isabelle Guyon , Marc Schoenauer , Antoine Marot , Patrick Panciatici

Identifying the multiple critical components in power systems whose absence together has severe impact on system performance is a crucial problem for power systems known as (N-x) contingency analysis. However, the inherent combinatorial…

Optimization and Control · Mathematics 2020-07-15 Mohammad Rasoul Narimani , Hao Huang , Amarachi Umunnakwe , Zeyu Mao , Abhijeet Sahu , Saman Zonouz , Kate Davis

We consider the problem of designing (or augmenting) an electric power system at a minimum cost such that it satisfies the N-k-e survivability criterion. This survivability criterion is a generalization of the well-known N-k criterion, and…

Optimization and Control · Mathematics 2013-05-06 Richard Li-Yang Chen , Amy Cohn , Neng Fan , Ali Pinar

During major power system disturbances, when multiple component outages occur in rapid succession, it becomes crucial to quickly identify the transmission interconnections that have limited power transfer capability. Understanding the…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Reetam Sen Biswas , Anamitra Pal , Trevor Werho , Vijay Vittal

The problem of maintaining power system stability and performance after the failure of any single line in a power system (an "N-1 contingency") is investigated. Due to the large number of possible N-1 contingencies for a power network, it…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Neelay Junnarkar , Emily Jensen , Xiaofan Wu , Suat Gumussoy , Murat Arcak

Multiple line outages that occur together show a variety of spatial patterns in the power transmission network. Some of these spatial patterns form network contingency motifs, which we define as the patterns of multiple outages that occur…

Physics and Society · Physics 2023-03-13 Kai Zhou , Ian Dobson , Zhaoyu Wang

This paper proposes a novel methodology for probabilistic dynamic security assessment and enhancement of power systems that considers load and generation variability, N-2 contingencies, and uncertain cascade propagation caused by uncertain…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Frédéric Sabot , Pierre-Etienne Labeau , Pierre Henneaux

Power system operators must ensure that dispatch decisions remain feasible in case of grid outages or contingencies to prevent cascading failures and ensure reliable operation. However, checking the feasibility of all $N - k$ contingencies…

Systems and Control · Electrical Eng. & Systems 2024-10-02 Nicolas Christianson , Wenqi Cui , Steven Low , Weiwei Yang , Baosen Zhang

Due to the evolving nature of power systems and the complicated coupling relationship of power devices, it has been a great challenge to identify the contingencies that could trigger cascading blackouts of power systems. This paper provides…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

This paper considers a probabilistic generalization of the $N$-$k$ failure-identification problem in power transmission networks, where the probability of failure of each component in the network is known a priori and the goal of the…

Systems and Control · Computer Science 2021-05-06 Kaarthik Sundar , Carleton Coffrin , Harsha Nagarajan , Russell Bent

Increasing penetration of inverter-based resources, flexible loads, and rapidly changing operating conditions make higher-order $N\!-\!k$ contingency assessment increasingly important but computationally prohibitive. Exhaustive evaluation…

Machine Learning · Computer Science 2026-02-11 Lihao Mai , Chenhan Xiao , Yang Weng

An input-output approach to stability analysis is explored for networked systems with uncertain link dynamics. The main result consists of a collection of integral quadratic constraints, which together imply robust stability of the…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Simone Mariano , Michael Cantoni

This paper examines the use of contingency analysis for a nuclear power plant to determine its potential benefits for the nuclear industry. Various N-1 contingencies were analyzed for a model of an existing nuclear plant, primarily…

Systems and Control · Electrical Eng. & Systems 2024-09-24 Cameron Khanpour , Jon T. Fontejon

Cyberthreats are an increasingly common risk to the power grid and can thwart secure grid operations. We propose to extend contingency analysis to include cyberthreat evaluations. However, unlike the traditional N-1 or N-2 contingencies,…

Cryptography and Security · Computer Science 2024-03-21 Shimiao Li , Amritanshu Pandey , Larry Pileggi

Potential vulnerabilities in a power grid can be exposed by identifying those transmission lines on which attacks (in the form of interference with their transmission capabilities) causes maximum disruption to the grid. In this study, we…

Optimization and Control · Mathematics 2015-03-10 Taedong Kim , Stephen J. Wright , Daniel Bienstock , Sean Harnett

In modern electric power networks with fast evolving operational conditions, assessing the impact of contingencies is becoming more and more crucial. Contingencies of interest can be roughly classified into nodal power disturbances and line…

Adaptation and Self-Organizing Systems · Physics 2019-10-22 Robin Delabays , Melvyn Tyloo , Philippe Jacquod

In this study, a graph-computing based grid splitting detection algorithm is proposed for contingency analysis in a graph-based EMS (Energy Management System). The graph model of a power system is established by storing its bus-branch…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-09 Yongli Zhu , Lingpeng Shi , Renchang Dai , Guangyi Liu

Modern power networks face increasing vulnerability to cascading failures due to high complexity and the growing penetration of intermittent resources, necessitating rigorous security assessment beyond the conventional $N-1$ criterion.…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Alexandre Gracia-Calvo , Francesca Rossi , Eduardo Iraola , Juan Carlos Olives-Camps , Eduardo Prieto-Araujo

During last decades, contingency analysis has been facing challenges from significant load demand increase and high penetrations of intermittent renewable energy, fluctuant responsive loads and non-linear power electronic interfaces. It…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-02 Yiting Zhao , Chen Yuan , Sun Li , Guangyi Liu , Renchang Dai , Zhiwei Wang

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
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