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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

Graphical models are a succinct way to represent the structure in probability distributions. This article analyzes the graphical model of nodal voltages in non-radial power distribution grids. Using algebraic and structural properties of…

Systems and Control · Computer Science 2020-02-28 Deepjyoti Deka , Saurav Talukdar , Michael Chertkov , Murti Salapaka

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

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

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

Topology optimization is a promising approach for mitigating congestion and managing changing grid conditions, but it is computationally challenging and requires approximations. Conventional distribution factors like PTDFs and LODFs, based…

Optimization and Control · Mathematics 2026-03-19 Maurizio Titz , Dirk Witthaut , Joost van Dijk , Benjamin Petrick , Nico Westerbeck

In the power system, security assessment (SA) plays a pivotal role in determining the safe operation in a normal situation and some contingencies scenarios. Electrical variables as input variables of the model are mainly considered to…

Systems and Control · Electrical Eng. & Systems 2023-01-31 Mojtaba Dezvarei , Kevin Tomsovic , Jinyuan Stella Sun , Seddik M. Djouadi

Online decision support for effective mitigation actions against propagating cascading outages in a power grid still poses a big challenge to grid operators. This paper proposes an online mitigation strategy against cascading outages using…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Changsheng Chen , Wenyun Ju , Kai Sun , Shiying Ma

Contingency analysis (CA) plays a critical role to guarantee operation security in the modern power systems. With the high penetration of renewable energy, a real-time and comprehensive N-1 CA is needed as a power system analysis tool to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-12 Yiting Zhao , Chen Yuan , Guangyi Liu , Ilya Grinberg

Cascading failures are one of the main reasons for blackouts in power transmission grids. The topology of a power grid, together with its operative state determine, for the most part, the robustness of the power grid against cascading…

Physics and Society · Physics 2015-06-18 Yakup Koç , Martijn Warnier , Piet Van Mieghem , Robert E. Kooij , Frances M. T. Brazier

The increasing penetration of renewable energy sources introduces significant variability and uncertainty in modern power systems, making accurate state prediction critical for reliable grid operation. Conventional forecasting methods often…

Machine Learning · Computer Science 2025-04-01 Dhruv Suri , Mohak Mangal

An accurate and up-to-date topology is critical for situational awareness of a power grid; however, wrong switch statuses due to physical damage, communication error, or cyber-attack, can often result in topology errors. To maintain…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Shimiao Li , Amritanshu Pandey , Larry Pileggi

Accurate and scalable surrogate models for AC power flow are essential for real-time grid monitoring, contingency analysis, and decision support in increasingly dynamic and inverter-dominated power systems. However, most existing surrogates…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Shrenik Jadhav , Birva Sevak , Srijita Das , Wencong Su , Van-Hai Bui

Contingency Analysis (CA) is a core component of the Energy Management System (EMS) in the power grid. The goal of CA is to operate the power system in a secure manner by analyzing the system subject to a contingency (e.g., the outage of a…

Systems and Control · Electrical Eng. & Systems 2019-11-05 Mohammad Ashiqur Rahman , Md Hasan Shahriar , Mohamadsaleh Jafari , Rahat Masum

We propose a graph neural network (GNN)-based method to predict the distribution of penalties induced by outages in communication networks, where connections are protected by resources shared between working and backup paths. The GNN-based…

Networking and Internet Architecture · Computer Science 2023-06-22 Krzysztof Rusek , Piotr Boryło , Piotr Jaglarz , Fabien Geyer , Albert Cabellos , Piotr Chołda

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

Cascading failures are one of the main reasons for blackouts in electrical power grids. Stable power supply requires a robust design of the power grid topology. Currently, the impact of the grid structure on the grid robustness is mainly…

Physics and Society · Physics 2015-05-26 Xiangrong Wang , Yakup Koç , Robert E. Kooij , Piet Van Mieghem

Transmission line failures in power systems propagate and cascade non-locally. In this work, we propose an adaptive control strategy that offers strong guarantees in both the mitigation and localization of line failures. Specifically, we…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Chen Liang , Linqi Guo , Alessandro Zocca , Steven H. Low , Adam Wierman

AC optimal power flow (AC OPF) is a fundamental problem in power system operation and control. Accurately modeling the network physics via the AC power flow equations makes AC OPF a challenging nonconvex problem that results in significant…

Optimization and Control · Mathematics 2023-07-06 Nafis Sadik , Mohammad Rasoul Narimani

Power grid outages cause huge economical and societal costs. Disruptions in the power distribution grid are responsible for a significant fraction of electric power unavailability to customers. The impact of extreme weather conditions,…

Systems and Control · Computer Science 2015-06-30 Yakup Koc , Abhishek Raman , Martijn Warnier , Tarun Kumar