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We use a power grid model with $M$ generators and $N$ consumption units to optimize the grid and its control. Each consumer demand is drawn from a predefined finite-size-support distribution, thus simulating the instantaneous load…

Statistical Mechanics · Physics 2009-10-21 Lenka Zdeborová , Aurélien Decelle , Michael Chertkov

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

It is well known that the reserves/redundancies built into the transmission grid in order to address a variety of contingencies over a long planning horizon may, in the short run, cause economic dispatch inefficiency. Accordingly, power…

Systems and Control · Computer Science 2018-03-20 Shuai Wang , John Baillieul

This paper presents an optimal network topology control framework using cutting-plane methods for efficient network partitioning with controllable edges. The objective is to enable real-time reconfiguration of interconnected sub-networks…

Optimization and Control · Mathematics 2026-05-01 Duong Thuy Anh Nguyen , Harsha Nagarajan , Robert Ferrando , Russell Bent , David Fobes

We analyze a power distribution line with high penetration of distributed generation and strong variations of power consumption and generation levels. In the presence of uncertainty the statistical description of the system is required to…

Optimization and Control · Mathematics 2010-06-02 Konstantin S. Turitsyn

Electrical power systems are one of the most important infrastructures that support our society. However, their vulnerabilities have raised great concern recently due to several large-scale blackouts around the world. In this paper, we…

Physics and Society · Physics 2016-10-14 Yingrui Zhang , Osman Yagan

A method is proposed to identify and localize the cause of network collapse with augmented power flow analysis for a grid model with insufficient resources. Owing to heavy network loading, insufficient generation, component failures and…

Signal Processing · Electrical Eng. & Systems 2019-11-14 Shimiao Li , Amritanshu Pandey , Aayushya Agarwal , Marko Jereminov , Larry Pileggi

This paper introduces a distributed contingency detection algorithm for detecting unobservable contingencies in power distribution systems using stochastic hybrid system (SHS) models. We aim to tackle the challenge of limited measurement…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Erfan Mehdipour Abadi , Hamid Varmazyari , Masoud H. Nazari

We propose and analyze a graph model to study the connectivity of interdependent networks. Two interdependent networks of arbitrary topologies are modeled as two graphs, where every node in one graph is supported by supply nodes in the…

Discrete Mathematics · Computer Science 2018-09-10 Jianan Zhang , Eytan Modiano

Weather and environmental factors are verified to have played significant roles in historical major cascading outages and blackouts. Therefore, in the simulation and risk assessment of cascading outages in power systems, it is necessary to…

Computational Engineering, Finance, and Science · Computer Science 2017-05-05 Rui Yao , Kai Sun

Recent years have seen a notable increase in the frequency and intensity of extreme weather events. With a rising number of power outages caused by these events, accurate prediction of power line outages is essential for safe and reliable…

Machine Learning · Computer Science 2024-11-20 Xiaolin Chen , Qiuhua Huang , Yuqi Zhou

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

Transmission line failures in power systems propagate and cascade non-locally. This well-known yet counter-intuitive feature makes it even more challenging to optimally and reliably operate these complex networks. In this work we present a…

Optimization and Control · Mathematics 2021-05-12 Alessandro Zocca , Chen Liang , Linqi Guo , Steven H. Low , Adam Wierman

The increasing frequency of extreme weather events poses significant risks to power distribution systems, leading to widespread outages and severe economic and social consequences. This paper presents a novel simulation framework for…

Systems and Control · Electrical Eng. & Systems 2025-02-13 Xuesong Wang , Shuo Yuan , Sharaf K. Magableh , Oraib Dawaghreh , Caisheng Wang , Le Yi Wang

We study the interaction between the power grid and the communication network used for its control. We design a centralized emergency control scheme under both full and partial communication support, to improve the performance of the power…

Optimization and Control · Mathematics 2015-05-07 Marzieh Parandehgheibi , Konstantin Turitsyn , Eytan Modiano

Developing models and metrics that can address resilience against disruptions is vital to ensure power grid reliability and that adequate recovery and adaptation mechanisms are in place. In this paper, we propose a novel disruption mapping…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Maureen S. Golan , Javad Mohammadi

Given increasing risk from climate-induced natural hazards, there is growing interest in the development of methods that can quantitatively measure resilience in power systems. This work quantifies resilience in electric power transmission…

Physics and Society · Physics 2019-06-18 Molly Rose Kelly-Gorham , Paul. D. H. Hines , Ian Dobson

The maintenance of system flow is critical for effective network operation. Any type of disruption to network facilities (arcs/nodes) potentially risks loss of service, leaving users without access to important resources. It is therefore an…

Data Analysis, Statistics and Probability · Physics 2010-06-29 Timothy C. Matisziw , Alan T. Murray

This paper aims to proactively diagnose and manage frequency instability risks from a steady-state perspective, without the need for derivative-dependent transient modeling. Specifically, we jointly address two questions (Q1) Survivability:…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Swadesh Vhakta , Denis Osipov , Reetam Sen Biswas , Amritanshu Pandey , Seyyedali Hosseinalipour , Shimiao Li

Agile localization of anomalous events plays a pivotal role in enhancing the overall reliability of the grid and avoiding cascading failures. This is especially of paramount significance in the large-scale grids due to their geographical…

Applications · Statistics 2017-02-07 Javad Heydari , Ali Tajer
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