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Reasonably large perturbations may push a power grid from its stable synchronous state into an undesirable state. Identifying vulnerabilities in power grids by studying power grid stability against such perturbations can aid in preventing…

Adaptation and Self-Organizing Systems · Physics 2025-08-26 Calvin Alvares , Soumitro Banerjee

In the past, we have observed several large blackouts, i.e. loss of power to large areas. It has been noted by several researchers that these large blackouts are a result of a cascade of failures of various components. As a power grid is…

Social and Information Networks · Computer Science 2010-11-19 Sachin Kadloor , Nandakishore Santhi

With the sharp increase of power demand, large-scale blackouts in power grids occur frequently around the world. Cascading failures are the main causes of network outages. Therefore, revealing the complicated cascade mechanism in grids is…

Systems and Control · Electrical Eng. & Systems 2019-07-31 Yubo Huang , Junguo Lu , Weidong Zhang

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

We present the study on the Indian power transmission network using the framework of a complex network and quantify its structural properties. For this, we build the network structure underlying the Indian power grid, using two of its most…

Physics and Society · Physics 2023-10-02 Vedang Tamhane , G. Ambika

In this paper, we study the interdependency between the power grid and the communication network used to control the grid. A communication node depends on the power grid in order to receive power for operation, and a power node depends on…

Optimization and Control · Mathematics 2014-05-13 Marzieh Parandehgheibi , Eytan Modiano , David Hay

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

Knowledge of power grid's topology during cascading failure is an essential element of centralized blackout prevention control, given that multiple islands are typically formed, as a cascade progresses. Moreover, academic research on…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Sai Gopal Vennelaganti , Nilanjan Ray Chaudhuri , Ting He , Thomas La Porta

Cascading failures in power systems normally occur as a result of initial disturbance or faults on electrical elements, closely followed by errors of human operators. It remains a great challenge to systematically trace the source of…

Systems and Control · Computer Science 2017-03-16 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

The large size of multiscale, distribution and transmission, power grids hinder fast system-wide estimation and real-time control and optimization of operations. This paper studies graph reduction methods of power grids that are favorable…

Systems and Control · Computer Science 2018-10-05 Colin Grudzien , Deepjyoti Deka , Michael Chertkov , Scott N Backhaus

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

We propose a mathematical framework for designing robust networks of coupled phase-oscillators by leveraging a vulnerability measure proposed by Tyloo et. al that quantifies how much a small perturbation to a phase-oscillator's natural…

Optimization and Control · Mathematics 2023-08-14 Shriya V. Nagpal , Gokul G. Nair , Francesca Parise , C. Lindsay Anderson

This paper explores whether graph embedding methods can be used as a tool for analysing the robustness of power-grids within the framework of network science. The paper focuses on the strain elevation tension spring embedding (SETSe)…

Systems and Control · Electrical Eng. & Systems 2021-05-28 Jonathan Bourne

In this work, water distribution systems are regarded as large sparse planar graphs with complex network characteristics and the relationship between important topological features of the network (i.e. structural robustness and loop…

Physics and Society · Physics 2010-09-23 A. Yazdani , P. Jeffrey

Network motifs are often called the building blocks of networks. Analysis of motifs is found to be an indispensable tool for understanding local network structure, in contrast to measures based on node degree distribution and its functions…

Physics and Society · Physics 2017-08-23 Asim Kumer Dey , Yulia R. Gel , H. Vincent Poor

Well known in the theory of network flows, Braess paradox states that in a congested network, it may happen that adding a new path between destinations can increase the level of congestion. In transportation networks the phenomenon results…

Systems and Control · Computer Science 2015-09-22 John Baillieul , Bowen Zhang , Shuai Wang

This paper studies the consequences of a human-initiated targeted attack on the national electric power system. We consider two kinds of attacks: ($i$) an attack by an adversary that uses a tactical weapon and destroys a large part of the…

Systems and Control · Electrical Eng. & Systems 2022-09-28 Rounak Meyur

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and…

Physics and Society · Physics 2009-03-23 S. Arianos , E. Bompard , A. Carbone , F. Xue

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 modern power grids, a local failure or attack can trigger catastrophic cascading failures, which make it challenging to assess the attack vulnerability of power grids. In this Brief, we define the $K$-link attack problem and study the…

Systems and Control · Electrical Eng. & Systems 2019-09-13 Cunlai Pu , Pang Wu