Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action

Autores
Montoya, Oscar Danilo; Serra, Federico Martin; Molina Cabrera, Alexander
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper addresses the problem of the optimal stabilization of DC microgrids using a hierarchical control design. A recursive optimal power flow formulation is proposed in the tertiary stage that ensures the global optimum finding due to the convexity of the proposed quadratic optimization model in determining the equilibrium operative point of the DC microgrid as a function of the demand and generation inputs. An exact feedback controller with integral action is applied in the primary and secondary controller layers, which ensures asymptotic stability in the sense of Lyapunov for the voltage variables. The dynamical model of the network is obtained in a set of reduced nodes that only includes constant power terminals interfaced through power electronic converters. This reduced model is obtained by applying Kron’s reduction to the linear loads and step nodes in the DC grid. Numerical simulations in a DC microgrid with radial structure demonstrate the effectiveness and robustness of the proposed hierarchical controller in maintaining the stability of all the voltage profiles in the DC microgrid, independent of the load and generation variations.
Fil: Montoya, Oscar Danilo. Universidad Distrital Francisco José de Caldas; Colombia
Fil: Serra, Federico Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Investigaciones en Tecnología Química. Universidad Nacional de San Luis. Facultad de Química, Bioquímica y Farmacia. Instituto de Investigaciones en Tecnología Química; Argentina
Fil: Molina Cabrera, Alexander. Universidad Tecnológica de Pereira; Colombia
Materia
DC DISTRIBUTION GRIDS
EXACT FEEDBACK CONTROLLER
GLOBAL STABILIZATION CONTROLLER
HIERARCHICAL CONTROL
MICROGRIDS
PROPORTIONAL AND INTEGRAL ACTIONS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/210488
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/210488
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral ActionMontoya, Oscar DaniloSerra, Federico MartinMolina Cabrera, AlexanderDC DISTRIBUTION GRIDSEXACT FEEDBACK CONTROLLERGLOBAL STABILIZATION CONTROLLERHIERARCHICAL CONTROLMICROGRIDSPROPORTIONAL AND INTEGRAL ACTIONShttps://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2This paper addresses the problem of the optimal stabilization of DC microgrids using a hierarchical control design. A recursive optimal power flow formulation is proposed in the tertiary stage that ensures the global optimum finding due to the convexity of the proposed quadratic optimization model in determining the equilibrium operative point of the DC microgrid as a function of the demand and generation inputs. An exact feedback controller with integral action is applied in the primary and secondary controller layers, which ensures asymptotic stability in the sense of Lyapunov for the voltage variables. The dynamical model of the network is obtained in a set of reduced nodes that only includes constant power terminals interfaced through power electronic converters. This reduced model is obtained by applying Kron’s reduction to the linear loads and step nodes in the DC grid. Numerical simulations in a DC microgrid with radial structure demonstrate the effectiveness and robustness of the proposed hierarchical controller in maintaining the stability of all the voltage profiles in the DC microgrid, independent of the load and generation variations.Fil: Montoya, Oscar Danilo. Universidad Distrital Francisco José de Caldas; ColombiaFil: Serra, Federico Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Investigaciones en Tecnología Química. Universidad Nacional de San Luis. Facultad de Química, Bioquímica y Farmacia. Instituto de Investigaciones en Tecnología Química; ArgentinaFil: Molina Cabrera, Alexander. Universidad Tecnológica de Pereira; ColombiaMDPI2022-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/210488Montoya, Oscar Danilo; Serra, Federico Martin; Molina Cabrera, Alexander; Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action; MDPI; Computers; 11; 2; 2-2022; 1-162073-431XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2073-431X/11/2/22info:eu-repo/semantics/altIdentifier/doi/10.3390/computers11020022info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:47:52Zoai:ri.conicet.gov.ar:11336/210488instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:47:52.472CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action
title Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action
spellingShingle Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action
Montoya, Oscar Danilo
DC DISTRIBUTION GRIDS
EXACT FEEDBACK CONTROLLER
GLOBAL STABILIZATION CONTROLLER
HIERARCHICAL CONTROL
MICROGRIDS
PROPORTIONAL AND INTEGRAL ACTIONS
title_short Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action
title_full Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action
title_fullStr Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action
title_full_unstemmed Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action
title_sort Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action
dc.creator.none.fl_str_mv Montoya, Oscar Danilo
Serra, Federico Martin
Molina Cabrera, Alexander
author Montoya, Oscar Danilo
author_facet Montoya, Oscar Danilo
Serra, Federico Martin
Molina Cabrera, Alexander
author_role author
author2 Serra, Federico Martin
Molina Cabrera, Alexander
author2_role author
author
dc.subject.none.fl_str_mv DC DISTRIBUTION GRIDS
EXACT FEEDBACK CONTROLLER
GLOBAL STABILIZATION CONTROLLER
HIERARCHICAL CONTROL
MICROGRIDS
PROPORTIONAL AND INTEGRAL ACTIONS
topic DC DISTRIBUTION GRIDS
EXACT FEEDBACK CONTROLLER
GLOBAL STABILIZATION CONTROLLER
HIERARCHICAL CONTROL
MICROGRIDS
PROPORTIONAL AND INTEGRAL ACTIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv This paper addresses the problem of the optimal stabilization of DC microgrids using a hierarchical control design. A recursive optimal power flow formulation is proposed in the tertiary stage that ensures the global optimum finding due to the convexity of the proposed quadratic optimization model in determining the equilibrium operative point of the DC microgrid as a function of the demand and generation inputs. An exact feedback controller with integral action is applied in the primary and secondary controller layers, which ensures asymptotic stability in the sense of Lyapunov for the voltage variables. The dynamical model of the network is obtained in a set of reduced nodes that only includes constant power terminals interfaced through power electronic converters. This reduced model is obtained by applying Kron’s reduction to the linear loads and step nodes in the DC grid. Numerical simulations in a DC microgrid with radial structure demonstrate the effectiveness and robustness of the proposed hierarchical controller in maintaining the stability of all the voltage profiles in the DC microgrid, independent of the load and generation variations.
Fil: Montoya, Oscar Danilo. Universidad Distrital Francisco José de Caldas; Colombia
Fil: Serra, Federico Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Investigaciones en Tecnología Química. Universidad Nacional de San Luis. Facultad de Química, Bioquímica y Farmacia. Instituto de Investigaciones en Tecnología Química; Argentina
Fil: Molina Cabrera, Alexander. Universidad Tecnológica de Pereira; Colombia
description This paper addresses the problem of the optimal stabilization of DC microgrids using a hierarchical control design. A recursive optimal power flow formulation is proposed in the tertiary stage that ensures the global optimum finding due to the convexity of the proposed quadratic optimization model in determining the equilibrium operative point of the DC microgrid as a function of the demand and generation inputs. An exact feedback controller with integral action is applied in the primary and secondary controller layers, which ensures asymptotic stability in the sense of Lyapunov for the voltage variables. The dynamical model of the network is obtained in a set of reduced nodes that only includes constant power terminals interfaced through power electronic converters. This reduced model is obtained by applying Kron’s reduction to the linear loads and step nodes in the DC grid. Numerical simulations in a DC microgrid with radial structure demonstrate the effectiveness and robustness of the proposed hierarchical controller in maintaining the stability of all the voltage profiles in the DC microgrid, independent of the load and generation variations.
publishDate 2022
dc.date.none.fl_str_mv 2022-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/210488
Montoya, Oscar Danilo; Serra, Federico Martin; Molina Cabrera, Alexander; Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action; MDPI; Computers; 11; 2; 2-2022; 1-16
2073-431X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/210488
identifier_str_mv Montoya, Oscar Danilo; Serra, Federico Martin; Molina Cabrera, Alexander; Hierarchical Control for DC Microgrids Using an Exact Feedback Controller with Integral Action; MDPI; Computers; 11; 2; 2-2022; 1-16
2073-431X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2073-431X/11/2/22
info:eu-repo/semantics/altIdentifier/doi/10.3390/computers11020022
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842268886911680512
score 13.13397

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