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We address the problem of maintaining high voltage power transmission networks in security at all time, namely anticipating exceeding of thermal limit for eventual single line disconnection (whatever its cause may be) by running slow, but…

Machine Learning · Statistics 2018-05-04 Benjamin Donnot , Isabelle Guyon , Antoine Marot , Marc Schoenauer , Patrick Panciatici

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

In this work, we have proposed a system theoretic method to compute sensitivities of different lines for $N-k$ contingency analysis in power network. We have formulated the $N-k$ contingency analysis as the stability problem of power…

Optimization and Control · Mathematics 2018-01-03 Sambarta Dasgupta , Umesh Vaidya

We propose a novel algorithm for selection of dangerous N-2 contingencies associated with line or generator failures. The algorithm is based on iterative filtering of the set of all possible double contingencies. It is certified to identify…

Physics and Society · Physics 2016-11-17 P. A. Kaplunovich , K. S. Turitsyn

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

We present a novel selection algorithm for N-2 contingency analysis problem. The algorithm is based on the iterative bounding of line outage distribution factors and successive pruning of the set of contingency pair candidates. The…

Physics and Society · Physics 2012-11-06 K. S. Turitsyn , P. A. Kaplunovich

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

Power system operators need tools for rapid, real-time counterfactual assessments of grid security under fast-changing conditions. Traditional N-1 contingency analysis lacks dynamic evaluation, especially of frequency swings from common…

Dynamical Systems · Mathematics 2025-10-22 Ayrton Almada , Laurent Pagnier , Igal Goldshtein , Saif R. Kazi , Michael , Chertkov

Dynamic contingency screening is a challenging task in dynamic security assessment, when traditional numerical approaches are computationally intensive and often not able to repeatedly solve full AC power flow for all possible contingencies…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Quan Tran , Suresh S. Muknahallipatna , Dongliang Duan , Nga Nguyen

It is crucial for maintaining the security of supply that transmission networks continue to operate even if a single line fails. Modeling $\mathcal{N} - 1$ security in power system capacity expansion problems introduces many extra…

Physics and Society · Physics 2022-11-03 Amin Shokri Gazafroudi , Fabian Neumann , Tom Brown

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

Power system operators routinely perform N-1 contingency analysis, yet conventional tools provide limited guidance on which lines or transformers deserve heightened attention during fast post-fault transients. In particular, static…

Optimization and Control · Mathematics 2026-02-16 Ayrton Almada , Laurent Pagnier , Igal Goldshtein , Saif R. Kazi , Michael , Chertkov

This paper develops a new method for voltage instability prediction using a recurrent neural network with long short-term memory. The method is aimed to be used as a supplementary warning system for system operators, capable of assessing…

Systems and Control · Electrical Eng. & Systems 2019-08-16 Hannes Hagmar , Lang Tong , Robert Eriksson , Le Anh Tuan

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

This paper analyzes the robustness of state-of-the-art AI-based models for power grid operations under the $N-1$ security criterion. While these models perform well in regular grid settings, our results highlight a significant loss in…

Artificial Intelligence · Computer Science 2024-06-21 Pantelis Dogoulis , Matthieu Jimenez , Salah Ghamizi , Maxime Cordy , Yves Le Traon

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and…

Physics and Society · Physics 2009-03-23 S. Arianos , E. Bompard , A. Carbone , F. Xue

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

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

Power systems are increasingly operated in corrective rather than preventive security mode, which means that appropriate control actions must be taken immediately after a contingency has occurred. This paper proposes an online algorithm for…

Optimization and Control · Mathematics 2018-02-21 Nicolo Mazzi , Baosen Zhang , Daniel S. Kirschen

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
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