An SDP relaxation in the complex domain for the efficient coordination of BESS and DGs in single-phase distribution grids considering reactive power capabilities

This research proposes an efficient energy management system design for medium-voltage distribution networks from a perspective of convex optimization. The exact nonlinear programming problem that represents the operation of distributed energy resources (DERs), such as batteries and photovoltaic sou...

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Authors: Garrido-Arevalo, Víctor M., Montoya, Oscar Danilo, Gil-González, Walter, Grisales-Noreña, Luis Fernando, Hernández, Jesús C.
Format: article
Status:Draft version
Publication Date:2024
Country:España
Institution:Universidad de Jaén
Repository:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
OAI Identifier:oai:ruja.ujaen.es:10953/6608
Online Access:http://linkinghub.elsevier.com/retrieve/pii/S2352152X24014981
https://doi.org/10.1016/j.est.2024.111913
https://hdl.handle.net/10953/6608
Access Level:Open access
Keyword:Semi-definite approximation in the complex domain
Hermitian semidefinite matrices
Distributed energy resources
Battery energy storage systems
Photovoltaic generation
Variable power factor operation
621.35
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repository_id_str
spelling An SDP relaxation in the complex domain for the efficient coordination of BESS and DGs in single-phase distribution grids considering reactive power capabilitiesGarrido-Arevalo, Víctor M.Montoya, Oscar DaniloGil-González, WalterGrisales-Noreña, Luis FernandoHernández, Jesús C.Semi-definite approximation in the complex domainHermitian semidefinite matricesDistributed energy resourcesBattery energy storage systemsPhotovoltaic generationVariable power factor operation621.35This research proposes an efficient energy management system design for medium-voltage distribution networks from a perspective of convex optimization. The exact nonlinear programming problem that represents the operation of distributed energy resources (DERs), such as batteries and photovoltaic sources, is approximated as an equivalent semi-definite programming (SDP) problem. This SDP approximation is achieved in the complex domain using Hermitian matrices, which are the equivalent of positive semi-definite matrices in the real number domain. Two test feeders, one with 27 nodes and the other with 33 nodes, are modified to match the characteristics of Colombian rural and urban networks. The 27-bus grid is adapted to accommodate the average demand and solar generation conditions of the municipality of Capurganá, while those of the city of Medellín are used for the 33-bus grid. One of the main contributions of this research is that it considers a DER operation with variable power factors, which allows for significant improvements compared to the traditional use of a unitary power factor scheme. Numerical comparisons are conducted using metaheuristic optimizers, including parallel versions of the particle swarm optimizer, the vortex search algorithm, and the continuous version of the genetic algorithm. These comparisons demonstrate the effectiveness of the proposed SDP approximation. All simulations are carried out in the MATLAB software (version 2022 ), using the disciplined convex optimizer (CVX) and the SDPT3 and SEDUMI solvers.Elsevier202520252024info:eu-repo/semantics/articleinfo:eu-repo/semantics/draftapplication/pdfhttp://linkinghub.elsevier.com/retrieve/pii/S2352152X24014981https://doi.org/10.1016/j.est.2024.111913https://hdl.handle.net/10953/6608reponame:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaéninstname:Universidad de JaénInglésJournal of Energy StorageAttribution 3.0 Spainhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:ruja.ujaen.es:10953/66082026-06-24T12:41:07Z
dc.title.none.fl_str_mv An SDP relaxation in the complex domain for the efficient coordination of BESS and DGs in single-phase distribution grids considering reactive power capabilities
title An SDP relaxation in the complex domain for the efficient coordination of BESS and DGs in single-phase distribution grids considering reactive power capabilities
spellingShingle An SDP relaxation in the complex domain for the efficient coordination of BESS and DGs in single-phase distribution grids considering reactive power capabilities
Garrido-Arevalo, Víctor M.
Semi-definite approximation in the complex domain
Hermitian semidefinite matrices
Distributed energy resources
Battery energy storage systems
Photovoltaic generation
Variable power factor operation
621.35
title_short An SDP relaxation in the complex domain for the efficient coordination of BESS and DGs in single-phase distribution grids considering reactive power capabilities
title_full An SDP relaxation in the complex domain for the efficient coordination of BESS and DGs in single-phase distribution grids considering reactive power capabilities
title_fullStr An SDP relaxation in the complex domain for the efficient coordination of BESS and DGs in single-phase distribution grids considering reactive power capabilities
title_full_unstemmed An SDP relaxation in the complex domain for the efficient coordination of BESS and DGs in single-phase distribution grids considering reactive power capabilities
title_sort An SDP relaxation in the complex domain for the efficient coordination of BESS and DGs in single-phase distribution grids considering reactive power capabilities
dc.creator.none.fl_str_mv Garrido-Arevalo, Víctor M.
Montoya, Oscar Danilo
Gil-González, Walter
Grisales-Noreña, Luis Fernando
Hernández, Jesús C.
author Garrido-Arevalo, Víctor M.
author_facet Garrido-Arevalo, Víctor M.
Montoya, Oscar Danilo
Gil-González, Walter
Grisales-Noreña, Luis Fernando
Hernández, Jesús C.
author_role author
author2 Montoya, Oscar Danilo
Gil-González, Walter
Grisales-Noreña, Luis Fernando
Hernández, Jesús C.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Semi-definite approximation in the complex domain
Hermitian semidefinite matrices
Distributed energy resources
Battery energy storage systems
Photovoltaic generation
Variable power factor operation
621.35
topic Semi-definite approximation in the complex domain
Hermitian semidefinite matrices
Distributed energy resources
Battery energy storage systems
Photovoltaic generation
Variable power factor operation
621.35
description This research proposes an efficient energy management system design for medium-voltage distribution networks from a perspective of convex optimization. The exact nonlinear programming problem that represents the operation of distributed energy resources (DERs), such as batteries and photovoltaic sources, is approximated as an equivalent semi-definite programming (SDP) problem. This SDP approximation is achieved in the complex domain using Hermitian matrices, which are the equivalent of positive semi-definite matrices in the real number domain. Two test feeders, one with 27 nodes and the other with 33 nodes, are modified to match the characteristics of Colombian rural and urban networks. The 27-bus grid is adapted to accommodate the average demand and solar generation conditions of the municipality of Capurganá, while those of the city of Medellín are used for the 33-bus grid. One of the main contributions of this research is that it considers a DER operation with variable power factors, which allows for significant improvements compared to the traditional use of a unitary power factor scheme. Numerical comparisons are conducted using metaheuristic optimizers, including parallel versions of the particle swarm optimizer, the vortex search algorithm, and the continuous version of the genetic algorithm. These comparisons demonstrate the effectiveness of the proposed SDP approximation. All simulations are carried out in the MATLAB software (version 2022 ), using the disciplined convex optimizer (CVX) and the SDPT3 and SEDUMI solvers.
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/draft
format article
status_str draft
dc.identifier.none.fl_str_mv http://linkinghub.elsevier.com/retrieve/pii/S2352152X24014981
https://doi.org/10.1016/j.est.2024.111913
https://hdl.handle.net/10953/6608
url http://linkinghub.elsevier.com/retrieve/pii/S2352152X24014981
https://doi.org/10.1016/j.est.2024.111913
https://hdl.handle.net/10953/6608
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Energy Storage
dc.rights.none.fl_str_mv Attribution 3.0 Spain
http://creativecommons.org/licenses/by/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 3.0 Spain
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
instname:Universidad de Jaén
instname_str Universidad de Jaén
reponame_str RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
collection RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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