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Control of coupled oscillator networks with application to microgrid technologies

The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent research into smart grid technologies, we study the control of s...

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Detalles Bibliográficos
Autores principales: Skardal, Per Sebastian, Arenas, Alex
Formato: Online Artículo Texto
Lenguaje:English
Publicado: American Association for the Advancement of Science 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4643801/
https://www.ncbi.nlm.nih.gov/pubmed/26601231
http://dx.doi.org/10.1126/sciadv.1500339
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author Skardal, Per Sebastian
Arenas, Alex
author_facet Skardal, Per Sebastian
Arenas, Alex
author_sort Skardal, Per Sebastian
collection PubMed
description The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent research into smart grid technologies, we study the control of synchronization and consider the important case of networks of coupled phase oscillators with nonlinear interactions—a paradigmatic example that has guided our understanding of self-organization for decades. We develop a method for control based on identifying and stabilizing problematic oscillators, resulting in a stable spectrum of eigenvalues, and in turn a linearly stable synchronized state. The amount of control, that is, number of oscillators, required to stabilize the network is primarily dictated by the coupling strength, dynamical heterogeneity, and mean degree of the network, and depends little on the structural heterogeneity of the network itself.
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spelling pubmed-46438012015-11-23 Control of coupled oscillator networks with application to microgrid technologies Skardal, Per Sebastian Arenas, Alex Sci Adv Research Articles The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent research into smart grid technologies, we study the control of synchronization and consider the important case of networks of coupled phase oscillators with nonlinear interactions—a paradigmatic example that has guided our understanding of self-organization for decades. We develop a method for control based on identifying and stabilizing problematic oscillators, resulting in a stable spectrum of eigenvalues, and in turn a linearly stable synchronized state. The amount of control, that is, number of oscillators, required to stabilize the network is primarily dictated by the coupling strength, dynamical heterogeneity, and mean degree of the network, and depends little on the structural heterogeneity of the network itself. American Association for the Advancement of Science 2015-08-21 /pmc/articles/PMC4643801/ /pubmed/26601231 http://dx.doi.org/10.1126/sciadv.1500339 Text en Copyright © 2015, The Authors http://creativecommons.org/licenses/by-nc/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution-NonCommercial license (http://creativecommons.org/licenses/by-nc/4.0/) , which permits use, distribution, and reproduction in any medium, so long as the resultant use is not for commercial advantage and provided the original work is properly cited.
spellingShingle Research Articles
Skardal, Per Sebastian
Arenas, Alex
Control of coupled oscillator networks with application to microgrid technologies
title Control of coupled oscillator networks with application to microgrid technologies
title_full Control of coupled oscillator networks with application to microgrid technologies
title_fullStr Control of coupled oscillator networks with application to microgrid technologies
title_full_unstemmed Control of coupled oscillator networks with application to microgrid technologies
title_short Control of coupled oscillator networks with application to microgrid technologies
title_sort control of coupled oscillator networks with application to microgrid technologies
topic Research Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4643801/
https://www.ncbi.nlm.nih.gov/pubmed/26601231
http://dx.doi.org/10.1126/sciadv.1500339
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