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Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

Systems and Control · Computer Science 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

A key objective of the smart grid is to improve reliability of utility services to end users. This requires strengthening resilience of distribution networks that lie at the edge of the grid. However, distribution networks are exposed to…

Systems and Control · Computer Science 2016-11-18 Yun Wei , Chuanyi Ji , Floyd Galvan , Stephen Couvillon , George Orellana , James Momoh

Cascading failures typically occur following a large disturbance in power systems, such as tripping of a generating unit or a transmission line. Such failures can propagate and destabilize the entire power system, potentially leading to…

Optimization and Control · Mathematics 2018-03-15 Zhipeng Liu , Andrew Clark , Linda Bushnell , Daniel Kirschen , Radha Poovendran

Cascading failures constitute an important vulnerability of interconnected systems. Here we focus on the study of such failures on networks in which the connectivity of nodes is constrained by geographical distance. Specifically, we use…

Physics and Society · Physics 2014-01-08 Andrea Asztalos , Sameet Sreenivasan , Boleslaw K. Szymanski , Gyorgy Korniss

Due to the evolving nature of power systems and the complicated coupling relationship of power devices, it has been a great challenge to identify the contingencies that could trigger cascading blackouts of power systems. This paper provides…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

The convergence performance of distributed optimization algorithms is of significant importance to solve optimal power flow (OPF) in a distributed fashion. In this paper, we aim to provide some insights on how to partition a power system to…

Signal Processing · Electrical Eng. & Systems 2019-02-13 Ali Mohammadi , Mahdi Mehrtash , Amin Kargarian , Masoud Barati

The magnitude of the August 2003 blackout affecting the United States has put the challenges of energy transmission and distribution into limelight. Despite all the interest and concerted effort, the complexity and interconnectivity of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Reka Albert , Istvan Albert , Gary L. Nakarado

Transmission lines, crucial to the power grid, are subjected to diverse environmental conditions such as wind, temperature, humidity, and pollution. While these conditions represent a consistent impact on the transmission lines, certain…

Numerical Analysis · Mathematics 2025-12-03 Prakash KC , Maryam Naghibolhosseini , Mohsen Zayernouri

Power generation and distribution remains an important topic of discussion since the industrial revolution. As the system continues to grow, it needs to evolve both in infrastructure, robustness and its resilience to deal with failures. One…

Physics and Society · Physics 2017-12-29 Malvika Singh , Sneha Mandan , Smriti Sharma

A central concern of network operators is to estimate the probability of an incident that affects a significant part and thus may yield to a breakdown. We answer this question by modeling how a failure of either a node or an edge will…

Applications · Statistics 2018-02-22 Sandra König

Diffusion on complex networks is a convenient framework to simulate a great variety of transport systems. The effects of failures in the network links may be used to cascade phenomena or the congestion formation in the system. A real time…

Physics and Society · Physics 2026-05-26 Edoardo Rolando , Armando Bazzani

Potential vulnerabilities in a power grid can be exposed by identifying those transmission lines on which attacks (in the form of interference with their transmission capabilities) causes maximum disruption to the grid. In this study, we…

Optimization and Control · Mathematics 2015-03-10 Taedong Kim , Stephen J. Wright , Daniel Bienstock , Sean Harnett

We use machine learning tools to model the line interaction of failure cascading in power grid networks. We first collect data sets of simulated trajectories of possible consecutive line failure following an initial random failure and…

Machine Learning · Computer Science 2022-07-07 Abdorasoul Ghasemi , Holger Kantz

The recent introduction of synchrophasor technology into power distribution systems has given impetus to various monitoring, diagnostic, and control applications, such as system identification and event detection, which are crucial for…

Systems and Control · Computer Science 2020-09-17 Omid Ardakanian , Ye Yuan , Roel Dobbe , Alexandra von Meier , Steven Low , Claire Tomlin

Measures of power grid vulnerability are often assessed by the amount of damage an adversary can exact on the network. However, the cascading impact of such attacks is often overlooked, even though cascades are one of the primary causes of…

Social and Information Networks · Computer Science 2023-10-06 Albert Lam , Mihai Anitescu , Anirudh Subramanyam

Network redundancy is one of the spatial network structural properties critical to robustness against cascading failures in power networks. The waiting-time distributions for network partitions in cascading failures explain how the spatial…

Physics and Society · Physics 2022-05-04 Long Huo , Xin Chen

The world's power systems are undergoing a rapid transformation, shifting away from carbon-intensive power generation to renewable sources. As a result, electricity is being transported over ever longer distances, while the intrinsic system…

The problem of partitioning a power grid into a set of islands can be a solution to restore power dispatchment in sections of a grid affected by an extreme failure. Current solutions to this problem usually involve finding the partition of…

Systems and Control · Electrical Eng. & Systems 2023-01-04 Francesco Lo Iudice , Ricardo Cardona-Rivera , Antonio Grotta , Marco Coraggio , Mario di Bernardo

We propose a model which explains how power-law crossover behaviour can arise in a system which is capable of experiencing cascading failure. In our model the susceptibility of the system to cascades is described by a single number, the…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 James Burridge

Here we develop an approach to predict power grid weak points, and specifically to efficiently identify the most probable failure modes in static load distribution for a given power network. This approach is applied to two examples: Guam's…

Optimization and Control · Mathematics 2010-09-16 Michael Chertkov , Feng Pan , Mikhail G. Stepanov