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Cascading failures triggered by trivial initial events are encountered in many complex systems. It is the interaction and coupling between components of the system that causes cascading failures. We propose a simple model to simulate…

Physics and Society · Physics 2014-01-07 Junjian Qi , Shengwei Mei

We study the performance of a stochastic algorithm based on the power method that adaptively learns the large deviation functions characterizing the fluctuations of additive functionals of Markov processes, used in physics to model…

Statistical Mechanics · Physics 2023-03-30 Francesco Coghi , Hugo Touchette

This paper examines the problem of state estimation in power distribution systems under low-observability conditions. The recently proposed constrained matrix completion method which combines the standard matrix completion method and power…

Optimization and Control · Mathematics 2020-06-09 Yajing Liu , April Sagan , Andrey Bernstein , Rui Yang , Xinyang Zhou , Yingchen Zhang

Natural and technological interdependent systems have been shown to be highly vulnerable due to cascading failures and an abrupt collapse of global connectivity under initial failure. Mitigating the risk by partial disconnection endangers…

Statistical Mechanics · Physics 2013-06-13 Christian M. Schneider , Nuri Yazdani , Nuno A. M. Araujo , Shlomo Havlin , Hans J. Herrmann

Power systems are critical infrastructure for reliable and secure electric energy delivery. Incidents are increasing, as unexpected multiple hazards ranging from natural disasters to cyberattacks threaten the security and functionality of…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Hao Huang , Zeyu Mao , Varuneswara Panyam , Astrid Layton , Katherine Davis

Due to the use of huge number of sensors and the increasing use of communication networks, cyber-physical systems (CPS) are becoming vulnerable to cyber-attacks. The ever-increasing complexity of CPS bring up the need for data-driven…

Systems and Control · Electrical Eng. & Systems 2021-02-12 Amirreza Jafari , Farzad Darbandi , Hadis Karimipour

Recent advances in steady-state analysis of power systems have introduced the equivalent split-circuit approach and corresponding continuation methods that can reliably find the correct physical solution of large-scale power system…

Systems and Control · Computer Science 2018-04-24 Martin R. Wagner , Amritanshu Pandey , Marko Jereminov , Larry Pileggi

Power system restoration after a major blackout is a complex process, in which selection of energising paths is a key issue to realize unit and load restoration safely and efficiently. In general, the energising path scheme made beforehand…

Signal Processing · Electrical Eng. & Systems 2019-03-13 Shaoyan Li , Xueping Gu , Guangqi Zhou , Yang Li

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

We consider the problem of statistical inference in a parametric finite Markov chain model and develop a robust estimator of the parameters defining the transition probabilities via minimization of a suitable (empirical) version of the…

Methodology · Statistics 2021-03-23 Abhik Ghosh

We examine a constrained Markov decision process under uncertain transition probabilities, with the uncertainty modeled as deviations from observed transition probabilities. We construct the uncertainty set associated with the deviations…

Optimization and Control · Mathematics 2025-04-15 V Varagapriya

Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various operating conditions. In this paper, we propose an approach that…

Optimization and Control · Mathematics 2018-05-28 Marc Hohmann , Joseph Warrington , John Lygeros

Power system security assessments, e.g. via cascading outage models, often use operational set-points based on optimal power flow (OPF) dispatch. However, driven by cost minimization, OPF provides an ideal, albeit unrealistic, clearing of…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Andrej Stankovski , Blazhe Gjorgiev , James Ciyu Qin , Giovanni Sansavini

The understanding of cascading failures in complex systems has been hindered by the lack of realistic large-scale modeling and analysis that can account for variable system conditions. Here, using the North American power grid, we identify,…

Physics and Society · Physics 2018-04-23 Yang Yang , Takashi Nishikawa , Adilson E. Motter

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

We develop investment approaches to secure electric power systems against load attacks where a malicious intruder (the attacker) covertly changes reactive power setpoints of loads to push the grid towards voltage instability while the…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Lu An , Pratishtha Shukla , Aranya Chakrabortty , Alexandra Duel-Hallen

In this manuscript we continue the thread of [M. Chertkov, F. Pan, M. Stepanov, Predicting Failures in Power Grids: The Case of Static Overloads, IEEE Smart Grid 2011] and suggest a new algorithm discovering most probable extreme stochastic…

Systems and Control · Computer Science 2011-09-08 Michael Chertkov , Mikhail Stepanov , Feng Pan , Ross Baldick

We consider power line outages in the transmission system of the power grid, and specifically those caused by a natural disaster or a large scale physical attack. In the transmission system, an outage of a line may lead to overload on other…

Systems and Control · Computer Science 2012-06-07 Andrey Bernstein , Daniel Bienstock , David Hay , Meric Uzunoglu , Gil Zussman

The Texan electric network in the Gulf Coast of the United States is frequently hit by Tropical Cyclones (TC) causing widespread power outages, a risk that is expected to substantially increase under global warming. Here, we introduce a new…

Cascades on random networks are typically analyzed by assuming they map onto percolation processes and then are solved using generating function formulations. This approach assumes that the network is infinite and weakly connected, yet…

Physics and Society · Physics 2013-05-29 Daniel E. Whitney
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