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For power grids predominantly featuring large synchronous generators (SGs), there exists a significant body of work bridging optimization and control tasks. A generic workflow in such efforts entails: characterizing the steady state of…

Optimization and Control · Mathematics 2022-10-13 Manish K. Singh , D. Venkatramanan , Sairaj Dhople

This paper studies the problem of frequency regulation in power grids under unknown and possible time-varying load changes, while minimizing the generation costs. We formulate this problem as an output agreement problem for distribution…

Systems and Control · Computer Science 2015-10-01 Sebastian Trip , Mathias Bürger , Claudio De Persis

Extreme events represent a challenge to natural as well as man-made systems. For critical infrastructure like power grids, we need to understand their resilience against large disturbances. Recently, new measures of the resilience of…

Chaotic Dynamics · Physics 2016-06-22 Sabine Auer , Kirsten Kleis , Paul Schultz , Jürgen Kurths , Frank Hellmann

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

Optimization and Control · Mathematics 2022-04-20 Manish K. Singh , Vassilis Kekatos

We analyze the control of frequency for a synchronized inhibitory neuronal network. The analysis is done for a reduced membrane model with a biophysically-based synaptic influence. We argue that such a reduced model can quantitatively…

Neurons and Cognition · Quantitative Biology 2007-05-23 Carson C. Chow , John A. White , Jason Ritt , Nancy Kopell

The frequency droop response of conventional turbine driven synchronous generators with respect to load increases is normally used in order to have stable operating characteristics for multiple generators operating in parallel over large…

Systems and Control · Computer Science 2013-09-11 Kirsch N. Mackey , Roy A. McCann

We introduce the dynamics mode decomposition for monitoring wide-area power grid networks from sparse measurement data. The mathematical framework fuses data from multiple sensors based on multivariate statistics, providing accurate full…

Pattern Formation and Solitons · Physics 2019-06-11 J. Jorge Ramos , J. Nathan Kutz

This work presents (i) a framework for certifying small-signal frequency stability of a power system with line dynamics and heterogeneous bus dynamics, (ii) a novel reduced-order model of damper windings in synchronous machines, and (iii) a…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Dahlia Saba , Dominic Groß

Many countries' policies have shifted rapidly towards using renewable energy for climate reasons. As a result, inverter-based resources are beginning to dominate power systems. Key elements for managing the loss of conventional generators…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Waleed Breesam , Stefan M. Goetz

Many recent works in control of electric power systems have investigated their synchronization through global performance metrics under external disturbances. The approach is motivated by fundamental changes in the operation of power grids,…

Signal Processing · Electrical Eng. & Systems 2020-07-28 Melvyn Tyloo , Philippe Jacquod

80% of all Renewable Energy Power in Germany is installed in tree-like distribution grids. Intermittent power fluctuations from such sources introduce new dynamics into the lower grid layers. At the same time, distributed resources will…

Physics and Society · Physics 2017-10-11 Sabine Auer , Frank Hellmann , Marie Krause , Jürgen Kurths

This paper examines small-signal stability of electrical networks composed dominantly of three-phase grid-following inverters. We show that the mere existence of a high-voltage power flow solution does not necessarily imply small-signal…

Optimization and Control · Mathematics 2020-05-22 Saber Jafarpour , Victor Purba , Sairaj V. Dhople , Brian Johnson , Francesco Bullo

Recent work has proposed a universal framework that integrates the well-established power synchronization control into vector current control. Using this controller for the parallel operation of grid-forming converters, and/or with loads…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Orcun Karaca , Irina Subotic , Lennart Harnefors , Ioannis Tsoumas

Shifting our electricity generation from fossil fuel to renewable energy sources introduces large fluctuations to the power system. Here, we demonstrate how increased fluctuations, reduced damping and reduced intertia may undermine the…

Adaptation and Self-Organizing Systems · Physics 2017-06-14 Benjamin Schäfer , Moritz Matthiae , Xiaozhu Zhang , Martin Rohden , Marc Timme , Dirk Witthaut

With the increasing penetration of converter-interfaced distributed generation systems, it would be advantageous to specify local compliance criteria for these devices to ensure the small-signal stability of the interconnected system.…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Kaustav Dey , Anil Kulkarni

Synchronization of coupled oscillators is a fundamental process in both natural and artificial networks. While much work has investigated the asymptotic stability of the synchronous solution, the fundamental question of the transient…

Adaptation and Self-Organizing Systems · Physics 2024-10-22 Amirhossein Nazerian , Joseph D Hart , Matteo Lodi , Francesco Sorrentino

We study performance limitations of distributed feedback control in large-scale networked dynamical systems. Specifically, we address the question of how the performance of distributed integral control is affected by measurement noise. We…

Optimization and Control · Mathematics 2019-07-23 Emma Tegling , Henrik Sandberg

An inevitable consequence of the global power system transition towards nearly 100% renewable-based generation is the loss of conventional bulk generation by synchronous machines, their inertia, and accompanying frequency and voltage…

Optimization and Control · Mathematics 2019-10-10 Ali Tayyebi , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

This paper addresses frequency regulation under operational constraints in interconnected power systems with high penetration of inverter-based renewable generation. A two-layer control architecture is proposed that combines optimized droop…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Jose A. Solano-Castellanos , Hassan Haes Alhelou , Ali T. Al- Awami , Mohannad Alkhraijah , Anuradha M. Annaswamy

The advance of autonomous Smart Sensor Networks and embedded systems for the Internet of Things, powered by photovoltaic energy harvesting, is severely limited by energy efficiency, especially in low-light environments. While Dynamic Power…

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