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The increasing penetration of renewable energy sources introduces significant variability and uncertainty in modern power systems, making accurate state prediction critical for reliable grid operation. Conventional forecasting methods often…

Machine Learning · Computer Science 2025-04-01 Dhruv Suri , Mohak Mangal

The resilience of electric power grids is threatened by natural hazards. Climate-related hazards are becoming more frequent and intense due to climate change. Statistical analyses clearly demonstrate a rise in the number of incidents (power…

Physics and Society · Physics 2025-04-30 George Karagiannakis , Mathaios Panteli , Sotirios Argyroudis

In a power distribution network, the network topology information is essential for an efficient operation of the network. This information of network connectivity is not accurately available, at the low voltage level, due to uninformed…

Systems and Control · Computer Science 2016-09-12 Jayadev P Satya , Nirav Bhatt , Ramkrishna Pasumarthy , Aravind Rajeswaran

Sudden failure of a single transmission element in a power grid can induce a domino effect of cascading failures, which can lead to the isolation of a large number of consumers or even to the failure of the entire grid. Here we present…

Adaptation and Self-Organizing Systems · Physics 2016-09-14 Martin Rohden , Daniel Jung , Samyak Tamrakar , Stefan Kettemann

Due to uncertainties and the complicated intrinsic dynamics of power systems, it is difficult to predict the cascading failure paths once the cascades occur. This makes it challenging to achieve the effective power system protection against…

Systems and Control · Electrical Eng. & Systems 2019-08-02 Chao Zhai

With the expansion of the power grid and the increase of the proportion of new energy sources, the uncertainty and random factors of the power grid increase, endangering the safe operation of the system. It is particularly important to find…

Systems and Control · Electrical Eng. & Systems 2024-09-13 Changgang Wang , Xianwei Wang , Yu Cao , Yang Li , Qi Lv , Yaoxin Zhang

In this paper we deal with the notion of the effective impedance of AC networks consisting of resistances, coils and capacitors. Mathematically such a network is a locally finite graph whose edges are endowed with complex-valued weights…

Combinatorics · Mathematics 2021-03-05 Anna Muranova

Potential critical risks of cascading failures in power systems can be identified by exposing those critical electrical elements on which certain initial disturbances may cause maximum disruption to power transmission networks. In this…

Systems and Control · Computer Science 2017-05-29 Hehong Zhang , Chao Zhai , Gaoxi Xiao , Tso-Chien Pan

Reliable electricity supply depends on the seamless operation of high-voltage grid infrastructure spanning both transmission and sub-transmission levels. Beneath this apparent uniformity lies a striking structural diversity, which leaves a…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Bálint Hartmann , Michelle T. Cirunay

Modeling power transmission networks is an important area of research with applications such as vulnerability analysis, study of cascading failures, and location of measurement devices. Graph-theoretic approaches have been widely used to…

Research on the robustness of the Internet has gained critical importance in the last decades because more and more individuals, societies and firms rely on this global network infrastructure for communication, knowledge transfer, business…

Networking and Internet Architecture · Computer Science 2021-03-10 Milena Oehlers , Benjamin Fabian

In studies on complex network systems using graph theory, eigen-analysis is typically performed on an undirected graph model of the network. However, when analyzing cascading failures in a power system, the interactions among failures…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Zhenping Guo , Xiaowen Su , Kai Sun , Byungkwon Park , Srdjan Simunovic

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

With the increasing inclusion of regenerative resources in the energy mix, their intermittent character challenges power grid stability. Hence it is essential to determine which input fluctuations power grids are particularly vulnerable to.…

Adaptation and Self-Organizing Systems · Physics 2018-01-16 Stefan Wieland , Sébastien Aumaitre , Hervé Bercegol

Efficient control of power systems is becoming increasingly difficult as they gain in complexity and size. We propose an automatic control strategy that regulates the mechanical power output of the generators in a power grid based on…

Systems and Control · Computer Science 2014-10-09 Andrej Gajduk , Mirko Todorovski , Ljupco Kocarev

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

Improving the controllability of power networks is crucial as they are highly complex networks operating in synchrony; even minor perturbations can cause desynchronization and instability. To that end, one needs to assess the criticality of…

Systems and Control · Electrical Eng. & Systems 2025-05-16 MirSaleh Bahavarnia , Muhammad Nadeem , Ahmad F. Taha

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

Recent advances in precise phasor measurement units are enabling new approaches to estimate distribution and transmission grid parameters in real-time. In this paper, we investigate voltage and current phasor measurement requirements to…

Systems and Control · Electrical Eng. & Systems 2026-05-04 Norak Rin , Iman Shames , Ian Petersen , Elizabeth Ratnam

Networks are inherently vulnerable to vertex failures, making the analysis of their structural robustness a fundamental problem in graph theory. In this study, we investigate the closeness and vertex residual closeness of graphs, with a…

Discrete Mathematics · Computer Science 2026-04-14 Hande Tuncel Golpek , Mehmet Ali Bilici , Aysun Aytac
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