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Accurate probabilistic modeling of the power system restoration process is essential for resilience planning, operational decision-making, and realistic simulation of resilience events. In this work, we develop data-driven probabilistic…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Arslan Ahmad , Ian Dobson

The reliable operation of modern power grids requires probabilistic load forecasts with well-calibrated uncertainty estimates. However, existing deep learning models produce overconfident point predictions that fail catastrophically under…

Machine Learning · Computer Science 2026-03-10 Sajib Debnath , Md. Uzzal Mia

Inspired by reliability issues in electric transmission networks, we use a probabilistic approach to study the occurrence of large failures in a stylized cascading failure model. In this model, lines have random capacities that initially…

Probability · Mathematics 2016-04-14 F. Sloothaak , S. C. Borst , A. P. Zwart

Cascade failures in power grids occur when the failure of one component or subsystem causes a chain reaction of failures in other components or subsystems, ultimately leading to a widespread blackout or outage. Controlling cascade failures…

Physics and Society · Physics 2024-09-02 Géza Ódor , István Papp , Kristóf Benedek , Bálint Hartmann

The increasing integration of intermittent renewable generation, especially at the distribution level,necessitates advanced planning and optimisation methodologies contingent on the knowledge of thegrid, specifically the admittance matrix…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Jean-Sébastien Brouillon , Emanuele Fabbiani , Pulkit Nahata , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-Trecate

With the increasing frequency of natural disasters, operators must prioritize improvements in the existing electric power grid infrastructure to enhance the resilience of the grid. Resilience to extreme weather events necessitates lowering…

Systems and Control · Electrical Eng. & Systems 2023-11-28 Abodh Poudyal , Shishir Lamichhane , Anamika Dubey , Josue Campos do Prado

Unprecedented winter storms that hit across Texas in February 2021 have caused at least 69 deaths and 4.5 million customer interruptions due to the wide-ranging generation capacity outage and record-breaking electricity demand. While much…

Physics and Society · Physics 2021-07-19 Dongqi Wu , Xiangtian Zheng , Yixing Xu , Daniel Olsen , Bainan Xia , Chanan Singh , Le Xie

We study the spreading of renewable power fluctuations through grids with Ohmic losses on the lines. By formulating a network adapted linear response theory, we find that vulnerability patterns are linked to the left Laplacian eigenvectors…

Adaptation and Self-Organizing Systems · Physics 2024-06-19 Anton Plietzsch , Sabine Auer , Jürgen Kurths , Frank Hellmann

Failure probabilities for grid components are often estimated using parametric models which can capitalize on operational grid data. This work formulates a Bayesian hierarchical framework designed to integrate data and domain expertise to…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Laurel N. Dunn , Ioanna Kavvada , Mathilde Badoual , Scott J. Moura

This paper presents a quantitative comparison of power grid reinforcement strategies. We evaluate three approaches: (1) doubling transmission links (bridges) between different communities, (2) adding bypasses around weakly synchronized…

Disordered Systems and Neural Networks · Physics 2025-03-10 Bálint Hartmann , Géza Ódor , Kristóf Benedek , István Papp , Michelle T. Cirunay

In this paper, we introduce a new two-parameter lifetime distribution, called the exponential-generalized truncated logarithmic (EGTL) distribution, by compounding the exponential and generalized truncated logarithmic distributions. Our…

Statistics Theory · Mathematics 2018-09-28 Mohieddine Rahmouni , Ayman Orabi

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

In recent decades, the weather around the world has become more irregular and extreme, often causing large-scale extended power outages. Resilience -- the capability of withstanding, adapting to, and recovering from a large-scale disruption…

Applications · Statistics 2025-08-06 Shixiang Zhu , Rui Yao , Yao Xie , Feng Qiu , Yueming Qiu , Xuan Wu

Large-scale power blackouts caused by cascading failure are inflicting enormous socioeconomic costs. We study the problem of cascading link failures in power networks modelled by random geometric graphs from a percolation-based viewpoint.…

Networking and Internet Architecture · Computer Science 2010-12-09 Hongda Xiao , Edmund Yeh

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

This article explores the estimation of unknown parameters and reliability characteristics under the assumption that the lifetimes of the testing units follow an Inverted Exponentiated Pareto (IEP) distribution. Here, both point and…

Statistics Theory · Mathematics 2025-01-22 Rajendranath Mondal , Aditi Kar Gangopadhyay , Raju Bhakta , Kousik Maiti

Research into cascading failures in power-transmission networks requires detailed data on the capacity of individual transmission lines. However, these data are often unavailable to researchers. As a result, line limits are often modelled…

Systems and Control · Electrical Eng. & Systems 2019-08-08 Jonathan Bourne , Aidan O'Sullivan , Elsa Arcaute

Modern grid monitoring equipment enables utilities to collect detailed records of power interruptions. These data are aggregated to compute publicly reported metrics describing high-level characteristics of grid performance. The current…

Physics and Society · Physics 2019-01-14 Laurel N. Dunn , Michael D. Sohn , Kristina Hamachi Lacommare , Joseph H. Eto

The dynamic response of power grids to small disturbances influences their overall stability. This paper examines the effect of network topology on the linearized time-invariant dynamics of electric power systems. The proposed framework…

Optimization and Control · Mathematics 2021-09-14 Siddharth Bhela , Harsha Nagarajan , Deepjyoti Deka , Vassilis Kekatos

Degree distribution models are incredibly important tools for analyzing and understanding the structure and formation of social networks, and can help guide the design of efficient graph algorithms. In particular, the Power-law degree…

Social and Information Networks · Computer Science 2011-08-20 Alessandra Sala , Sabrina Gaito , Gian Paolo Rossi , Haitao Zheng , Ben Y. Zhao