All Conditions for Synchronous Harmonic Natural Oscillations in LC Circuits

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The full set of conditions for synchronous harmonic oscillations in multiple LC circuits are established. These are for discrete lossless linear systems in source-free response. An Electric Networks literature review indicates that even the very basic condition for synchronous harmonic free oscillat...

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Detalles Bibliográficos
Autor: Morales, Cesar A.
Formato: artículo
Fecha de Publicación:2022
Institución:Universidad Peruana de Ciencias Aplicadas
Repositorio:UPC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorioacademico.upc.edu.pe:10757/660545
Enlace del recurso:http://hdl.handle.net/10757/660545
Nivel de acceso:acceso embargado
Materia:Capacitors
DC networks.
Eigenvalues and eigenfunctions
Harmonic analysis
Integrated circuit modeling
Natural response
Oscillators
Power harmonic filters
source-free LC circuits
synchronous harmonic response
Transmission line matrix methods
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dc.title.es_PE.fl_str_mv All Conditions for Synchronous Harmonic Natural Oscillations in LC Circuits
title All Conditions for Synchronous Harmonic Natural Oscillations in LC Circuits
spellingShingle All Conditions for Synchronous Harmonic Natural Oscillations in LC Circuits
Morales, Cesar A.
Capacitors
DC networks.
Eigenvalues and eigenfunctions
Harmonic analysis
Integrated circuit modeling
Natural response
Oscillators
Power harmonic filters
source-free LC circuits
synchronous harmonic response
Transmission line matrix methods
title_short All Conditions for Synchronous Harmonic Natural Oscillations in LC Circuits
title_full All Conditions for Synchronous Harmonic Natural Oscillations in LC Circuits
title_fullStr All Conditions for Synchronous Harmonic Natural Oscillations in LC Circuits
title_full_unstemmed All Conditions for Synchronous Harmonic Natural Oscillations in LC Circuits
title_sort All Conditions for Synchronous Harmonic Natural Oscillations in LC Circuits
author Morales, Cesar A.
author_facet Morales, Cesar A.
author_role author
dc.contributor.author.fl_str_mv Morales, Cesar A.
dc.subject.es_PE.fl_str_mv Capacitors
DC networks.
Eigenvalues and eigenfunctions
Harmonic analysis
Integrated circuit modeling
Natural response
Oscillators
Power harmonic filters
source-free LC circuits
synchronous harmonic response
Transmission line matrix methods
topic Capacitors
DC networks.
Eigenvalues and eigenfunctions
Harmonic analysis
Integrated circuit modeling
Natural response
Oscillators
Power harmonic filters
source-free LC circuits
synchronous harmonic response
Transmission line matrix methods
description The full set of conditions for synchronous harmonic oscillations in multiple LC circuits are established. These are for discrete lossless linear systems in source-free response. An Electric Networks literature review indicates that even the very basic condition for synchronous harmonic free oscillations is rarely presented, which is: initial conditions as an eingenvector for the initial charges and no currents (for t = 0). It is demonstrated herein that there are more conditions: three in total; in addition, simulation results are presented to illustrate all these possibilities, in which synchronous harmonic oscillation can actually be experienced. It is also noted here, that reactance or LC networks are correct models in Physics (pulsed power systems, metamaterials and metal-dielectric composites) and for Engineering devices (electrotherapy, ignition and radio). IEEE
publishDate 2022
dc.date.accessioned.none.fl_str_mv 2022-08-05T13:24:47Z
dc.date.available.none.fl_str_mv 2022-08-05T13:24:47Z
dc.date.issued.fl_str_mv 2022-01-01
dc.type.es_PE.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.issn.none.fl_str_mv 15497747
dc.identifier.doi.none.fl_str_mv 10.1109/TCSII.2022.3176487
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10757/660545
dc.identifier.eissn.none.fl_str_mv 15583791
dc.identifier.journal.es_PE.fl_str_mv IEEE Transactions on Circuits and Systems II: Express Briefs
dc.identifier.eid.none.fl_str_mv 2-s2.0-85130428433
dc.identifier.scopusid.none.fl_str_mv SCOPUS_ID:85130428433
dc.identifier.isni.none.fl_str_mv 0000 0001 2196 144X
identifier_str_mv 15497747
10.1109/TCSII.2022.3176487
15583791
IEEE Transactions on Circuits and Systems II: Express Briefs
2-s2.0-85130428433
SCOPUS_ID:85130428433
0000 0001 2196 144X
url http://hdl.handle.net/10757/660545
dc.language.iso.es_PE.fl_str_mv eng
language eng
dc.relation.url.es_PE.fl_str_mv https://ieeexplore.ieee.org/document/9778199
dc.rights.es_PE.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.es_PE.fl_str_mv application/html
dc.publisher.es_PE.fl_str_mv Institute of Electrical and Electronics Engineers Inc.
dc.source.none.fl_str_mv reponame:UPC-Institucional
instname:Universidad Peruana de Ciencias Aplicadas
instacron:UPC
instname_str Universidad Peruana de Ciencias Aplicadas
instacron_str UPC
institution UPC
reponame_str UPC-Institucional
collection UPC-Institucional
dc.source.journaltitle.none.fl_str_mv IEEE Transactions on Circuits and Systems II: Express Briefs
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spelling 3fecd7a29107e3d226b9afd87cf56b7a500Morales, Cesar A.2022-08-05T13:24:47Z2022-08-05T13:24:47Z2022-01-011549774710.1109/TCSII.2022.3176487http://hdl.handle.net/10757/66054515583791IEEE Transactions on Circuits and Systems II: Express Briefs2-s2.0-85130428433SCOPUS_ID:851304284330000 0001 2196 144XThe full set of conditions for synchronous harmonic oscillations in multiple LC circuits are established. These are for discrete lossless linear systems in source-free response. An Electric Networks literature review indicates that even the very basic condition for synchronous harmonic free oscillations is rarely presented, which is: initial conditions as an eingenvector for the initial charges and no currents (for t = 0). It is demonstrated herein that there are more conditions: three in total; in addition, simulation results are presented to illustrate all these possibilities, in which synchronous harmonic oscillation can actually be experienced. It is also noted here, that reactance or LC networks are correct models in Physics (pulsed power systems, metamaterials and metal-dielectric composites) and for Engineering devices (electrotherapy, ignition and radio). IEEEapplication/htmlengInstitute of Electrical and Electronics Engineers Inc.https://ieeexplore.ieee.org/document/9778199info:eu-repo/semantics/embargoedAccessCapacitorsDC networks.Eigenvalues and eigenfunctionsHarmonic analysisIntegrated circuit modelingNatural responseOscillatorsPower harmonic filterssource-free LC circuitssynchronous harmonic responseTransmission line matrix methodsAll Conditions for Synchronous Harmonic Natural Oscillations in LC Circuitsinfo:eu-repo/semantics/articleIEEE Transactions on Circuits and Systems II: Express Briefsreponame:UPC-Institucionalinstname:Universidad Peruana de Ciencias Aplicadasinstacron:UPCLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorioacademico.upc.edu.pe/bitstream/10757/660545/1/license.txt8a4605be74aa9ea9d79846c1fba20a33MD51false10757/660545oai:repositorioacademico.upc.edu.pe:10757/6605452022-08-05 13:24:51.24Repositorio académico upcupc@openrepository.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All Conditions for Synchronous Harmonic Natural Oscillations in LC Circuits
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