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Power domination is a graph theoretic model which captures how phasor measurement units (PMUs) can be used to monitor a power grid. Fragile power domination takes into account the fact that PMUs may break or otherwise fail. In this model,…

Combinatorics · Mathematics 2025-07-22 Beth Bjorkman , Sean English , Johnathan Koch , Amanda Verga

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

The electric grid is an attractive target for cyberattackers given its critical nature in society. With the increasing sophistication of cyberattacks, effective grid defense will benefit from proactively identifying vulnerabilities and…

Systems and Control · Electrical Eng. & Systems 2024-02-14 Amr S. Mohamed , Deepa Kundur

Power system robustness against high impact low probability events is becoming a major concern. To depict distinct phases of a system response during these disturbances, an irregular polygon model is derived from the conventional trapezoid…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Giritharan Vijay Iswaran , Ramin Vakili , Mojdeh Khorsand

Most current studies estimate the invulnerability of complex networks using a qualitative method that analyzes the inaccurate decay rate of network efficiency. This method results in confusion over the invulnerability of various types of…

Social and Information Networks · Computer Science 2014-02-18 Jun Qin , Hongrun Wu , Xiaonian Tong , Bojin Zheng

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

An approach is proposed to identify optimal asset protection strategies based on vulnerability assessment outcomes. Traditional bilevel attacker-defender models emphasize worst-case scenarios but offer limited defensive guidance. In…

Optimization and Control · Mathematics 2026-01-19 Eric Tönges , Martin Braun , Philipp Härtel

To enhance robustness of complex networked systems, a simple method is introducing reinforced nodes which always function during failure propagation. A random scheme of node reinforcement can be considered as a benchmark for finding an…

Physics and Society · Physics 2023-06-27 Rui Ma , Yanqing Hu , Jin-Hua Zhao

Communication networks, power grids, and transportation networks are all examples of networks whose performance depends on reliable connectivity of their underlying network components even in the presence of usual network dynamics due to…

Physics and Society · Physics 2020-06-26 Arman Mohseni-Kabir , Mihir Pant , Don Towsley , Saikat Guha , Ananthram Swami

Estimating the structure of physical flow networks such as power grids is critical to secure delivery of energy. This paper discusses statistical structure estimation in power grids in the "under-excited" regime, where a subset of internal…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Deepjyoti Deka , Harish Doddi , Sidhant Misra , Murti Salapaka

The electric power system is one of the cornerstones of modern society. One of its most serious malfunctions is the blackout, a catastrophic event that may disrupt a substantial portion of the system, playing havoc to human life and causing…

Data Analysis, Statistics and Probability · Physics 2016-03-07 Chengwei Wang , Celso Grebogi , Murilo S. Baptista

The failure of overhead transmission lines in the United States can lead to significant economic losses and widespread blackouts, affecting the lives of millions. This study focuses on the reliability of transmission lines, specifically…

Numerical Analysis · Mathematics 2024-07-01 Prakash KC , Maryam Naghibolhosseini , Mohsen Zayernouri

This work presents two methodologies to enhance vulnerability assessment in power systems using bilevel attacker-defender network interdiction models. First, we introduce a systematic evaluation procedure for comparing different optimal…

Optimization and Control · Mathematics 2026-02-20 Eric Tönges , Martin Braun , Philipp Härtel

Today, electrical energy plays a significant and conspicuous role in contemporary economies; as a result, governments should place a high priority on maintaining the supply of electrical energy. In order to assess various topologies and…

Optimization and Control · Mathematics 2022-11-08 Farhad Samadi Gazijahani , Rasoul Esmaeilzadeh

Considering the attacks against the power grid, one of the most effective approaches could be the attack to the transmission lines that leads to large cascading failures. Hence, the problem of locating the most critical or vulnerable…

Machine Learning · Computer Science 2024-05-21 Tianxin Zhou , Xiang Li , Haibing Lu

Extreme voltages at the system nodes are one of the primary causes for total and partial collapse of the Nigerian grid. In this paper, we develop a framework to re-dispatch the voltage set-points of committed generators in the grid to…

Signal Processing · Electrical Eng. & Systems 2019-06-18 Amritanshu Pandey , Aayushya Agarwal , Marko Jereminov , Tochi Nwachuku , Barry G. Rawn , Larry Pileggi

Electricity production currently generates approximately 25% of greenhouse gas emissions in the USA. Thus, increasing the amount of renewable energy is a key step to carbon neutrality. However, integrating a large amount of fluctuating…

Optimization and Control · Mathematics 2021-05-20 Aleksandr Lukashevich , Yury Maximov

The growing prevalence of extreme weather events driven by climate change poses significant challenges to power system resilience. Infrastructure damage and prolonged power outages highlight the urgent need for effective grid-hardening…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Sifat Chowdhury , Yihsu Chen , Yu Zhang

Simulating potential cascading failures can be useful for avoiding or mitigating such events. Currently, existing steady-state analysis tools are ill-suited for simulating cascading outages as they do not model frequency dependencies, they…

Signal Processing · Electrical Eng. & Systems 2019-11-25 Amritanshu Pandey , Aayushya Agarwal , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Larry Pileggi

This paper proposes a generalized passivity sensitivity analysis for power system stability studies. The method uncovers the most effective instability mitigation actions for both device-level and system-level investigations. The particular…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Dongyeong Lee , Francisco Javier Cifuentes Garcia , Jef Beerten