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We present a stochastic variance-reduced heavy ball power iteration algorithm for solving PCA and provide a convergence analysis for it. The algorithm is an extension of heavy ball power iteration, incorporating a step size so that progress…

Optimization and Control · Mathematics 2019-01-25 Cheolmin Kim , Diego Klabjan

The frequency constitutes a key state variable of electrical power grids. However, as the frequency is subject to several sources of fluctuations, ranging from renewable volatility to demand fluctuations and dispatch, it is strongly…

Adaptation and Self-Organizing Systems · Physics 2020-03-25 Mehrnaz Anvari , Leonardo Rydin Gorjão , Marc Timme , Dirk Witthaut , Benjamin Schäfer , Holger Kantz

Electrical power grids are vulnerable to cascading failures that can lead to large blackouts. Detection and prevention of cascading failures in power grids is impor- tant. Currently, grid operators mainly monitor the state (loading level)…

Physics and Society · Physics 2015-07-20 Martijn Warnier , Stefan Dulman , Yakup Koç , Eric Pauwels

Power grids are nowadays experiencing a transformation due to the introduction of Distributed Generation based on Renewable Sources. At difference with classical Distributed Generation, where local power sources mitigate anomalous user…

Physics and Society · Physics 2015-09-09 Antonio Scala , Sakshi Pahwa , Caterina Scoglio

The transient response of power grids to external disturbances influences their stable operation. This paper studies the effect of topology in linear time-invariant dynamics of different power grids. For a variety of objective functions, a…

Systems and Control · Computer Science 2017-03-03 Deepjyoti Deka , Harsha Nagarajan , Scott Backhaus

While electric power grids play a key role in the decarbonization of society, it remains unclear how recent trends, such as the strong integration of renewable energies, can affect their stability. Power oscillation modes, which are key to…

Disordered Systems and Neural Networks · Physics 2024-08-28 Pierrick Guichard , Nicolas Retière , Didier Mayou

Wide Area Measurement Systems (WAMS) can guide system operators' to increase their situational awareness by expanding observability of their supervise area and adjoining systems. Power system oscillations in the electrical grid are a matter…

Systems and Control · Electrical Eng. & Systems 2024-08-29 Makarand Sudhakar Ballal

The paper presents an innovative approach to identifying voltage fluctuation sources in power networks, also considering the localization understood as the indication of supply points of disturbing loads. The presented approach considers…

Signal Processing · Electrical Eng. & Systems 2024-04-30 Piotr Kuwałek , Grzegorz Wiczyński

Distribution microgrids are being challenged by reverse power flows and voltage fluctuations due to renewable generation, demand response, and electric vehicles. Advances in photovoltaic (PV) inverters offer new opportunities for reactive…

Optimization and Control · Mathematics 2014-11-17 Vassilis Kekatos , Gang Wang , Antonio J. Conejo , Georgios B. Giannakis

The wide deployment of renewable generation and the gradual decrease in the overall system inertia make modern power grids more vulnerable to transient instabilities and unacceptable frequency fluctuations. Time-domain simulation-based…

Optimization and Control · Mathematics 2020-03-03 Dongchan Lee , Liviu Aolaritei , Thanh Long Vu , Konstantin Turitsyn

Electrical infrastructures provide services at the basis of a number of application sectors, several of which are critical from the perspective of human life, environment or financials. Following the increasing trend in electricity…

Other Computer Science · Computer Science 2017-08-16 Giulio Masetti

In the past decade, the landscape of energy production has had to shift to accommodate renewables. Which, unlike fossil fuels, are subject to frequent fluctuations; potentially destabilizing grid operators. With the continued demand for…

Optimization and Control · Mathematics 2016-12-06 Ashkan Zeinalzadeh , Reza Ghorbani , James Yee

High variability of solar PV and sudden changes in load (e.g., electric vehicles and storage) can lead to large voltage fluctuations in the distribution system. In recent years, a number of controllers have been designed to optimize voltage…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Wenqi Cui , Yiheng Xie , Steven Low , Adam Wierman , Baosen Zhang

Identifying the location of a disturbance and its magnitude is an important component for stable operation of power systems. We study the problem of localizing and estimating a disturbance in the interconnected power system. We take a…

Machine Learning · Computer Science 2018-06-06 Hyang-Won Lee , Jianan Zhang , Eytan Modiano

Complex network analyses have provided clues to improve power-grid stability with the help of numerical models. The high computational cost of numerical simulations, however, has inhibited the approach, especially when it deals with the…

Physics and Society · Physics 2022-01-12 Seong-Gyu Yang , Beom Jun Kim , Seung-Woo Son , Heetae Kim

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

A major transition in modern power systems is the replacement of conventional generation units with renewable sources of energy. The latter results in lower rotational inertia which compromises the stability of the power system, as…

Optimization and Control · Mathematics 2025-12-15 Andreas Kasis , Stelios Timotheou , Marios Polycarpou

This paper investigates the dynamic interactions between large-scale data centers and the power grid, focusing on reliability challenges arising from sudden fluctuations in demand. With the rapid growth of AI-driven workloads, such…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Kyung-Bin Kwon , Sayak Mukherjee , Veronica Adetola

In this paper, the impact of stochastic load and renewable generation uncertainty on the dynamic voltage stability margin is studied. Stochastic trajectories describing the uncertainty of load, wind and solar generation have been…

Systems and Control · Electrical Eng. & Systems 2019-06-21 Georgia Pierrou , Xiaozhe Wang

Power grids play a very important role in delivering electrical energy to homes, industries and other places that require it. Because of this increased demand they are facing a great challenge of voltage variations. This happens due to…

Signal Processing · Electrical Eng. & Systems 2021-06-25 Sahil Vohra
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