On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation

Autores
Serra, Federico Martin; Montoya Giraldo, Oscar Danilo; Alvarado Barrios, Lázaro; Álvarez Arroyo, Cesar; Chamorro, Harold R.
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper deals with the problem of the optimal selection and location of batteries in DC distribution grids by proposing a new mixed-integer convex model. The exact mixed-integer nonlin-ear model is transformed into a mixed-integer quadratic convex model (MIQC) by approximating the product among voltages in the power balance equations as a hyperplane. The most important characteristic of our proposal is that the MIQC formulations ensure the global optimum reaching via branch & bound methods and quadratic programming since each combination of the binary variables generates a node with a convex optimization subproblem. The formulation of the objective function is associated with the minimization of the energy losses for a daily operation scenario considering high renewable energy penetration. Numerical simulations show the effectiveness of the proposed MIQC model to reach the global optimum of the optimization model when compared with the exact optimization model in a 21-node test feeder. All the validations are carried out in the GAMS optimization software.
Fil: Serra, Federico Martin. Universidad Nacional de San Luis. Facultad de Ingeniería y Ciencias Agropecuarias. Laboratorio de Control Automático; Argentina. 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: Montoya Giraldo, Oscar Danilo. Universidad Distrital Francisco José de Caldas; Colombia. Universidad Tecnológica de Bolívar; Colombia
Fil: Alvarado Barrios, Lázaro. Universidad Loyola Andalucia; España
Fil: Álvarez Arroyo, Cesar. Universidad de Sevilla; España
Fil: Chamorro, Harold R.. Royal Institute of Technology; Suecia
Materia
BATTERY ENERGY STORAGE SYSTEMS
EXACT MATHEMATICAL OPTIMIZATION
GLOBAL OPTIMUM FINDING
MIXED-INTEGER QUADRATIC PROGRAMMING
POWER FLOW APPROXIMATION
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:11336/171600
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulationSerra, Federico MartinMontoya Giraldo, Oscar DaniloAlvarado Barrios, LázaroÁlvarez Arroyo, CesarChamorro, Harold R.BATTERY ENERGY STORAGE SYSTEMSEXACT MATHEMATICAL OPTIMIZATIONGLOBAL OPTIMUM FINDINGMIXED-INTEGER QUADRATIC PROGRAMMINGPOWER FLOW APPROXIMATIONhttps://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2This paper deals with the problem of the optimal selection and location of batteries in DC distribution grids by proposing a new mixed-integer convex model. The exact mixed-integer nonlin-ear model is transformed into a mixed-integer quadratic convex model (MIQC) by approximating the product among voltages in the power balance equations as a hyperplane. The most important characteristic of our proposal is that the MIQC formulations ensure the global optimum reaching via branch & bound methods and quadratic programming since each combination of the binary variables generates a node with a convex optimization subproblem. The formulation of the objective function is associated with the minimization of the energy losses for a daily operation scenario considering high renewable energy penetration. Numerical simulations show the effectiveness of the proposed MIQC model to reach the global optimum of the optimization model when compared with the exact optimization model in a 21-node test feeder. All the validations are carried out in the GAMS optimization software.Fil: Serra, Federico Martin. Universidad Nacional de San Luis. Facultad de Ingeniería y Ciencias Agropecuarias. Laboratorio de Control Automático; Argentina. 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: Montoya Giraldo, Oscar Danilo. Universidad Distrital Francisco José de Caldas; Colombia. Universidad Tecnológica de Bolívar; ColombiaFil: Alvarado Barrios, Lázaro. Universidad Loyola Andalucia; EspañaFil: Álvarez Arroyo, Cesar. Universidad de Sevilla; EspañaFil: Chamorro, Harold R.. Royal Institute of Technology; SueciaMDPI2021-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/171600Serra, Federico Martin; Montoya Giraldo, Oscar Danilo; Alvarado Barrios, Lázaro; Álvarez Arroyo, Cesar; Chamorro, Harold R.; On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation; MDPI; Electronics; 10; 19; 10-2021; 1-152079-9292CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3390/electronics10192339info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:58:07Zoai:ri.conicet.gov.ar:11336/171600instacron: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:34982025-10-22 11:58:07.25CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation
title On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation
spellingShingle On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation
Serra, Federico Martin
BATTERY ENERGY STORAGE SYSTEMS
EXACT MATHEMATICAL OPTIMIZATION
GLOBAL OPTIMUM FINDING
MIXED-INTEGER QUADRATIC PROGRAMMING
POWER FLOW APPROXIMATION
title_short On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation
title_full On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation
title_fullStr On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation
title_full_unstemmed On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation
title_sort On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation
dc.creator.none.fl_str_mv Serra, Federico Martin
Montoya Giraldo, Oscar Danilo
Alvarado Barrios, Lázaro
Álvarez Arroyo, Cesar
Chamorro, Harold R.
author Serra, Federico Martin
author_facet Serra, Federico Martin
Montoya Giraldo, Oscar Danilo
Alvarado Barrios, Lázaro
Álvarez Arroyo, Cesar
Chamorro, Harold R.
author_role author
author2 Montoya Giraldo, Oscar Danilo
Alvarado Barrios, Lázaro
Álvarez Arroyo, Cesar
Chamorro, Harold R.
author2_role author
author
author
author
dc.subject.none.fl_str_mv BATTERY ENERGY STORAGE SYSTEMS
EXACT MATHEMATICAL OPTIMIZATION
GLOBAL OPTIMUM FINDING
MIXED-INTEGER QUADRATIC PROGRAMMING
POWER FLOW APPROXIMATION
topic BATTERY ENERGY STORAGE SYSTEMS
EXACT MATHEMATICAL OPTIMIZATION
GLOBAL OPTIMUM FINDING
MIXED-INTEGER QUADRATIC PROGRAMMING
POWER FLOW APPROXIMATION
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 deals with the problem of the optimal selection and location of batteries in DC distribution grids by proposing a new mixed-integer convex model. The exact mixed-integer nonlin-ear model is transformed into a mixed-integer quadratic convex model (MIQC) by approximating the product among voltages in the power balance equations as a hyperplane. The most important characteristic of our proposal is that the MIQC formulations ensure the global optimum reaching via branch & bound methods and quadratic programming since each combination of the binary variables generates a node with a convex optimization subproblem. The formulation of the objective function is associated with the minimization of the energy losses for a daily operation scenario considering high renewable energy penetration. Numerical simulations show the effectiveness of the proposed MIQC model to reach the global optimum of the optimization model when compared with the exact optimization model in a 21-node test feeder. All the validations are carried out in the GAMS optimization software.
Fil: Serra, Federico Martin. Universidad Nacional de San Luis. Facultad de Ingeniería y Ciencias Agropecuarias. Laboratorio de Control Automático; Argentina. 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: Montoya Giraldo, Oscar Danilo. Universidad Distrital Francisco José de Caldas; Colombia. Universidad Tecnológica de Bolívar; Colombia
Fil: Alvarado Barrios, Lázaro. Universidad Loyola Andalucia; España
Fil: Álvarez Arroyo, Cesar. Universidad de Sevilla; España
Fil: Chamorro, Harold R.. Royal Institute of Technology; Suecia
description This paper deals with the problem of the optimal selection and location of batteries in DC distribution grids by proposing a new mixed-integer convex model. The exact mixed-integer nonlin-ear model is transformed into a mixed-integer quadratic convex model (MIQC) by approximating the product among voltages in the power balance equations as a hyperplane. The most important characteristic of our proposal is that the MIQC formulations ensure the global optimum reaching via branch & bound methods and quadratic programming since each combination of the binary variables generates a node with a convex optimization subproblem. The formulation of the objective function is associated with the minimization of the energy losses for a daily operation scenario considering high renewable energy penetration. Numerical simulations show the effectiveness of the proposed MIQC model to reach the global optimum of the optimization model when compared with the exact optimization model in a 21-node test feeder. All the validations are carried out in the GAMS optimization software.
publishDate 2021
dc.date.none.fl_str_mv 2021-10
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/11336/171600
Serra, Federico Martin; Montoya Giraldo, Oscar Danilo; Alvarado Barrios, Lázaro; Álvarez Arroyo, Cesar; Chamorro, Harold R.; On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation; MDPI; Electronics; 10; 19; 10-2021; 1-15
2079-9292
CONICET Digital
CONICET
url http://hdl.handle.net/11336/171600
identifier_str_mv Serra, Federico Martin; Montoya Giraldo, Oscar Danilo; Alvarado Barrios, Lázaro; Álvarez Arroyo, Cesar; Chamorro, Harold R.; On the optimal selection and integration of batteries in dc grids through a mixed-integer quadratic convex formulation; MDPI; Electronics; 10; 19; 10-2021; 1-15
2079-9292
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3390/electronics10192339
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
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score 12.982451

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