Análisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticos

This paper presents a non-linear method based on sum-of-squares (SOS), to determine the stability of equilibrium points for the Buck, Boost, Buck-Boost and non-inverter Buck-Boost converters. These converters share a similar structure with a PI controller to regulate the output voltage. A quadratic...

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Autores:
Herrera-Pérez, Jhon Jairo
Garcés-Ruiz, Alejandro
Tipo de recurso:
Article of journal
Fecha de publicación:
2020
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/13487
Acceso en línea:
https://hdl.handle.net/20.500.12585/13487
https://doi.org/10.32397/tesea.vol1.n1.4
Palabra clave:
Optimization algorithms
direct current networks
Buck, Boost, DC-DC converter
DC microgrid
second order converte
Lyapunov
Sum of squares
Stability
Rights
openAccess
License
https://creativecommons.org/licenses/by-nc-sa/4.0/
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oai_identifier_str oai:repositorio.utb.edu.co:20.500.12585/13487
network_acronym_str UTB2
network_name_str Repositorio Institucional UTB
repository_id_str
spelling Herrera-Pérez, Jhon JairoGarcés-Ruiz, Alejandro2020-12-16 00:00:002025-05-21T19:15:42Z2020-12-16 00:00:002020-12-16https://hdl.handle.net/20.500.12585/13487https://doi.org/10.32397/tesea.vol1.n1.410.32397/tesea.vol1.n1.42745-0120This paper presents a non-linear method based on sum-of-squares (SOS), to determine the stability of equilibrium points for the Buck, Boost, Buck-Boost and non-inverter Buck-Boost converters. These converters share a similar structure with a PI controller to regulate the output voltage. A quadratic Lyapunov function is proposed in all cases, and the conditions for stability are evaluated using convex optimization based on SOS models. The methodology is useful for academic purposes but also in practical applications like DC microgrids. Simulation results shows the advantages of the proposed method.This paper presents a non-linear method based on sum-of-squares (SOS), to determine the stability of equilibrium points for the Buck, Boost, Buck-Boost and non-inverter Buck-Boost converters. These converters share a similar structure with a PI controller to regulate the output voltage. A quadratic Lyapunov function is proposed in all cases, and the conditions for stability are evaluated using convex optimization based on SOS models. The methodology is useful for academic purposes but also in practical applications like DC microgrids. Simulation results shows the advantages of the proposed method.application/pdfengUniversidad Tecnológica de Bolívarhttps://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2https://revistas.utb.edu.co/tesea/article/view/397Optimization algorithmsdirect current networksBuck, Boost, DC-DC converterDC microgridsecond order converteLyapunovSum of squaresStabilityAnálisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticosAnálisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticosArtículo de revistainfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Journal articleTextinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Transactions on Energy Systems and Engineering Applications14958https://revistas.utb.edu.co/tesea/article/download/397/343Núm. 1 , Año 2020 : Transactions on Energy Systems and Engineering Applications120.500.12585/13487oai:repositorio.utb.edu.co:20.500.12585/134872025-05-21 14:15:42.963https://creativecommons.org/licenses/by-nc-sa/4.0/metadata.onlyhttps://repositorio.utb.edu.coRepositorio Digital Universidad Tecnológica de Bolívarbdigital@metabiblioteca.com
dc.title.spa.fl_str_mv Análisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticos
dc.title.translated.spa.fl_str_mv Análisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticos
title Análisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticos
spellingShingle Análisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticos
Optimization algorithms
direct current networks
Buck, Boost, DC-DC converter
DC microgrid
second order converte
Lyapunov
Sum of squares
Stability
title_short Análisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticos
title_full Análisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticos
title_fullStr Análisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticos
title_full_unstemmed Análisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticos
title_sort Análisis de estabilidad de convertidores de segundo orden con la metodología de optimización de suma de polinomios cuadráticos
dc.creator.fl_str_mv Herrera-Pérez, Jhon Jairo
Garcés-Ruiz, Alejandro
dc.contributor.author.eng.fl_str_mv Herrera-Pérez, Jhon Jairo
Garcés-Ruiz, Alejandro
dc.subject.eng.fl_str_mv Optimization algorithms
direct current networks
Buck, Boost, DC-DC converter
DC microgrid
second order converte
Lyapunov
Sum of squares
Stability
topic Optimization algorithms
direct current networks
Buck, Boost, DC-DC converter
DC microgrid
second order converte
Lyapunov
Sum of squares
Stability
description This paper presents a non-linear method based on sum-of-squares (SOS), to determine the stability of equilibrium points for the Buck, Boost, Buck-Boost and non-inverter Buck-Boost converters. These converters share a similar structure with a PI controller to regulate the output voltage. A quadratic Lyapunov function is proposed in all cases, and the conditions for stability are evaluated using convex optimization based on SOS models. The methodology is useful for academic purposes but also in practical applications like DC microgrids. Simulation results shows the advantages of the proposed method.
publishDate 2020
dc.date.accessioned.none.fl_str_mv 2020-12-16 00:00:00
2025-05-21T19:15:42Z
dc.date.available.none.fl_str_mv 2020-12-16 00:00:00
dc.date.issued.none.fl_str_mv 2020-12-16
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.eng.fl_str_mv info:eu-repo/semantics/article
dc.type.coar.eng.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.local.eng.fl_str_mv Journal article
dc.type.content.eng.fl_str_mv Text
dc.type.version.eng.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coarversion.eng.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12585/13487
dc.identifier.url.none.fl_str_mv https://doi.org/10.32397/tesea.vol1.n1.4
dc.identifier.doi.none.fl_str_mv 10.32397/tesea.vol1.n1.4
dc.identifier.eissn.none.fl_str_mv 2745-0120
url https://hdl.handle.net/20.500.12585/13487
https://doi.org/10.32397/tesea.vol1.n1.4
identifier_str_mv 10.32397/tesea.vol1.n1.4
2745-0120
dc.language.iso.eng.fl_str_mv eng
language eng
dc.relation.ispartofjournal.eng.fl_str_mv Transactions on Energy Systems and Engineering Applications
dc.relation.citationvolume.eng.fl_str_mv 1
dc.relation.citationstartpage.none.fl_str_mv 49
dc.relation.citationendpage.none.fl_str_mv 58
dc.relation.bitstream.none.fl_str_mv https://revistas.utb.edu.co/tesea/article/download/397/343
dc.relation.citationedition.eng.fl_str_mv Núm. 1 , Año 2020 : Transactions on Energy Systems and Engineering Applications
dc.relation.citationissue.eng.fl_str_mv 1
dc.rights.uri.eng.fl_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rights.accessrights.eng.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.eng.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.eng.fl_str_mv application/pdf
dc.publisher.eng.fl_str_mv Universidad Tecnológica de Bolívar
dc.source.eng.fl_str_mv https://revistas.utb.edu.co/tesea/article/view/397
institution Universidad Tecnológica de Bolívar
repository.name.fl_str_mv Repositorio Digital Universidad Tecnológica de Bolívar
repository.mail.fl_str_mv bdigital@metabiblioteca.com
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