Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation

The problem concerning the optimal placement and sizing of renewable energy resources and battery energy storage systems in electrical DC distribution networks is addressed in this research by proposing a new mathematical formulation. The exact mixed-integer nonlinear programming (MINLP) model is tr...

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Authors: Basto-Gil, Jerson Daniel, Maldonado-Cardenas, Angel David, Montoya, Oscar Danilo
Format: article
Status:Draft version
Publication Date:2022
Country:Colombia
Institution:Universidad Tecnológica de Bolívar
Repository:Repositorio Institucional UTB
Language:English
OAI Identifier:oai:repositorio.utb.edu.co:20.500.12585/12425
Online Access:https://hdl.handle.net/20.500.12585/12425
Access Level:Open access
Keyword:Convex optimization
Energy storage systems
McCormick envelopes
Mixed-integer convex model
Renewable energy sources
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spelling Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex FormulationBasto-Gil, Jerson DanielMaldonado-Cardenas, Angel DavidMontoya, Oscar DaniloConvex optimizationEnergy storage systemsMcCormick envelopesMixed-integer convex modelRenewable energy sourcesThe problem concerning the optimal placement and sizing of renewable energy resources and battery energy storage systems in electrical DC distribution networks is addressed in this research by proposing a new mathematical formulation. The exact mixed-integer nonlinear programming (MINLP) model is transformed into a mixed-integer convex model using McCormick envelopes regarding the product between two positive variables. Convex theory allows ensuring that the global optimum is found due to the linear equivalent structure of the solution space and the quadratic structure of the objective function when all the binary variables are defined. Numerical results in the 21-bus system demonstrate the effectiveness and robustness of the proposed solution methodology when compared to the solution reached by solving the exact MINLP model. Numerical results showed that the simultaneous allocation of batteries and renewable energy resources allows for the best improvements in the daily operating costs, i.e., about 53.29% with respect to the benchmark case of the 21-bus grid, followed by the scenario where the renewable energy resources are reallocated while considering a fixed location for the batteries, with an improvement of 43.33%. In addition, the main result is that the difference between the exact modeling and the proposed formulation regarding the final objective function was less than 3.90% for all the simulation cases, which demonstrated the effectiveness of the proposed approach for operating distributed energy resources in monopolar DC networks.Cartagena de Indias2023-07-25T12:09:56Z2023-07-25T12:09:56Z2022-09-302023-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/drafthttp://purl.org/coar/resource_type/c_650118 páginasPdfapplication/pdfapplication/pdfBasto-Gil, J.D.; Maldonado-Cardenas, A.D.; Montoya, O.D. Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation. Electronics 2022, 11, 3139. https://doi.org/10.3390/electronics11193139https://hdl.handle.net/20.500.12585/1242510.3390/electronics11193139Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarElectronics (Switzerland) - Vol. 11 No. 19 (2022)reponame:Repositorio Institucional UTBinstname:Universidad Tecnológica de Bolívarinstacron:Universidad Tecnológica de Bolívarenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internacional2023-07-26T05:17:39Z
dc.title.none.fl_str_mv Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation
title Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation
spellingShingle Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation
Basto-Gil, Jerson Daniel
Convex optimization
Energy storage systems
McCormick envelopes
Mixed-integer convex model
Renewable energy sources
title_short Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation
title_full Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation
title_fullStr Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation
title_full_unstemmed Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation
title_sort Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation
dc.creator.none.fl_str_mv Basto-Gil, Jerson Daniel
Maldonado-Cardenas, Angel David
Montoya, Oscar Danilo
author Basto-Gil, Jerson Daniel
author_facet Basto-Gil, Jerson Daniel
Maldonado-Cardenas, Angel David
Montoya, Oscar Danilo
author_role author
author2 Maldonado-Cardenas, Angel David
Montoya, Oscar Danilo
author2_role author
author
dc.subject.none.fl_str_mv Convex optimization
Energy storage systems
McCormick envelopes
Mixed-integer convex model
Renewable energy sources
topic Convex optimization
Energy storage systems
McCormick envelopes
Mixed-integer convex model
Renewable energy sources
description The problem concerning the optimal placement and sizing of renewable energy resources and battery energy storage systems in electrical DC distribution networks is addressed in this research by proposing a new mathematical formulation. The exact mixed-integer nonlinear programming (MINLP) model is transformed into a mixed-integer convex model using McCormick envelopes regarding the product between two positive variables. Convex theory allows ensuring that the global optimum is found due to the linear equivalent structure of the solution space and the quadratic structure of the objective function when all the binary variables are defined. Numerical results in the 21-bus system demonstrate the effectiveness and robustness of the proposed solution methodology when compared to the solution reached by solving the exact MINLP model. Numerical results showed that the simultaneous allocation of batteries and renewable energy resources allows for the best improvements in the daily operating costs, i.e., about 53.29% with respect to the benchmark case of the 21-bus grid, followed by the scenario where the renewable energy resources are reallocated while considering a fixed location for the batteries, with an improvement of 43.33%. In addition, the main result is that the difference between the exact modeling and the proposed formulation regarding the final objective function was less than 3.90% for all the simulation cases, which demonstrated the effectiveness of the proposed approach for operating distributed energy resources in monopolar DC networks.
publishDate 2022
dc.date.none.fl_str_mv 2022-09-30
2023-07-25T12:09:56Z
2023-07-25T12:09:56Z
2023-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/draft
http://purl.org/coar/resource_type/c_6501
format article
status_str draft
dc.identifier.none.fl_str_mv Basto-Gil, J.D.; Maldonado-Cardenas, A.D.; Montoya, O.D. Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation. Electronics 2022, 11, 3139. https://doi.org/10.3390/electronics11193139
https://hdl.handle.net/20.500.12585/12425
10.3390/electronics11193139
Universidad Tecnológica de Bolívar
Repositorio Universidad Tecnológica de Bolívar
identifier_str_mv Basto-Gil, J.D.; Maldonado-Cardenas, A.D.; Montoya, O.D. Optimal Selection and Integration of Batteries and Renewable Generators in DC Distribution Systems through a Mixed-Integer Convex Formulation. Electronics 2022, 11, 3139. https://doi.org/10.3390/electronics11193139
10.3390/electronics11193139
Universidad Tecnológica de Bolívar
Repositorio Universidad Tecnológica de Bolívar
url https://hdl.handle.net/20.500.12585/12425
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 18 páginas
Pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Cartagena de Indias
publisher.none.fl_str_mv Cartagena de Indias
dc.source.none.fl_str_mv Electronics (Switzerland) - Vol. 11 No. 19 (2022)
reponame:Repositorio Institucional UTB
instname:Universidad Tecnológica de Bolívar
instacron:Universidad Tecnológica de Bolívar
instname_str Universidad Tecnológica de Bolívar
instacron_str Universidad Tecnológica de Bolívar
institution Universidad Tecnológica de Bolívar
reponame_str Repositorio Institucional UTB
collection Repositorio Institucional UTB
_version_ 1825051238201294848
score 15,811543

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