Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach

The problem regarding the optimal location and sizing of fixed-step capacitor banks in distribution networks with radial configuration is studied in this research by applying a two-stage optimization approach. The first stage consists of determining the nodes where the capacitor banks will be placed...

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Autores:
Montoya, Oscar Danilo
Rivas-Trujillo, Edwin
Giral-Ramírez, Diego Armando
Tipo de recurso:
Fecha de publicación:
2022
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/12181
Acceso en línea:
https://hdl.handle.net/20.500.12585/12181
Palabra clave:
Annual operating cost minimization
Daily load variations
Fixed-step capacitor banks
Successive approximation power flow method
Two-stage optimization approach
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.title.spa.fl_str_mv Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach
title Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach
spellingShingle Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach
Annual operating cost minimization
Daily load variations
Fixed-step capacitor banks
Successive approximation power flow method
Two-stage optimization approach
title_short Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach
title_full Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach
title_fullStr Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach
title_full_unstemmed Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach
title_sort Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach
dc.creator.fl_str_mv Montoya, Oscar Danilo
Rivas-Trujillo, Edwin
Giral-Ramírez, Diego Armando
dc.contributor.author.none.fl_str_mv Montoya, Oscar Danilo
Rivas-Trujillo, Edwin
Giral-Ramírez, Diego Armando
dc.subject.keywords.spa.fl_str_mv Annual operating cost minimization
Daily load variations
Fixed-step capacitor banks
Successive approximation power flow method
Two-stage optimization approach
topic Annual operating cost minimization
Daily load variations
Fixed-step capacitor banks
Successive approximation power flow method
Two-stage optimization approach
description The problem regarding the optimal location and sizing of fixed-step capacitor banks in distribution networks with radial configuration is studied in this research by applying a two-stage optimization approach. The first stage consists of determining the nodes where the capacitor banks will be placed. In this stage, the exact mixed-integer nonlinear programming (MINLP) model that represents the studied problem is transformed into a mixed-integer quadratic convex (MIQC) model. The solution of the MIQC model ensures that the global optimum is reached given the convexity of the solution space for each combination of nodes where the capacitor banks will be installed. With the solution of the MIQC, the suitable nodes for the installation of the fixed-step capacitors are fixed, and their sizes are recursively evaluated in a power flow methodology that allows for determining the optimal sizes. In the second stage, the successive approximation power flow method is applied to determine the optimal sizes assigned to these compensation devices. Numerical results in three test feeders with 33, 69, and 85 buses demonstrate the effectiveness of the proposed two-stage solution method for two operation scenarios: (i) operation of the distribution system under peak load conditions throughout the year, and (ii) operation considering daily demand variations and renewable generation penetration. Comparative results with the GAMS software confirm the excellent results reached using the proposed optimization approach. All the simulations were carried out in the MATLAB programming environment, version 2021b, as well as using the Gurobi solver in the convex programming tool known as CVX.
publishDate 2022
dc.date.issued.none.fl_str_mv 2022-06-27
dc.date.accessioned.none.fl_str_mv 2023-07-19T21:16:54Z
dc.date.available.none.fl_str_mv 2023-07-19T21:16:54Z
dc.date.submitted.none.fl_str_mv 2023-07
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dc.identifier.citation.spa.fl_str_mv Montoya, O.D.; Rivas-Trujillo, E.; Giral-Ramírez, D.A. Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach. Computers 2022, 11, 105. https://doi.org/10.3390/computers11070105
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12585/12181
dc.identifier.doi.none.fl_str_mv 10.3390/computers11070105
dc.identifier.instname.spa.fl_str_mv Universidad Tecnológica de Bolívar
dc.identifier.reponame.spa.fl_str_mv Repositorio Universidad Tecnológica de Bolívar
identifier_str_mv Montoya, O.D.; Rivas-Trujillo, E.; Giral-Ramírez, D.A. Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach. Computers 2022, 11, 105. https://doi.org/10.3390/computers11070105
10.3390/computers11070105
Universidad Tecnológica de Bolívar
Repositorio Universidad Tecnológica de Bolívar
url https://hdl.handle.net/20.500.12585/12181
dc.language.iso.spa.fl_str_mv eng
language eng
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dc.rights.cc.*.fl_str_mv 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
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eu_rights_str_mv openAccess
dc.format.extent.none.fl_str_mv 19 páginas
dc.format.medium.none.fl_str_mv Pdf
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.place.spa.fl_str_mv Cartagena de Indias
dc.source.spa.fl_str_mv Computers - Vol. 11 No. 7 (2022)
institution Universidad Tecnológica de Bolívar
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spelling Montoya, Oscar Danilo8a59ede1-6a4a-4d2e-abdc-d0afb14d4480Rivas-Trujillo, Edwin0720b1ee-acdc-4aea-b24b-fc319c4dd61cGiral-Ramírez, Diego Armandoa9612d05-bc90-49f9-94c7-20a0766e00f52023-07-19T21:16:54Z2023-07-19T21:16:54Z2022-06-272023-07Montoya, O.D.; Rivas-Trujillo, E.; Giral-Ramírez, D.A. Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approach. Computers 2022, 11, 105. https://doi.org/10.3390/computers11070105https://hdl.handle.net/20.500.12585/1218110.3390/computers11070105Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThe problem regarding the optimal location and sizing of fixed-step capacitor banks in distribution networks with radial configuration is studied in this research by applying a two-stage optimization approach. The first stage consists of determining the nodes where the capacitor banks will be placed. In this stage, the exact mixed-integer nonlinear programming (MINLP) model that represents the studied problem is transformed into a mixed-integer quadratic convex (MIQC) model. The solution of the MIQC model ensures that the global optimum is reached given the convexity of the solution space for each combination of nodes where the capacitor banks will be installed. With the solution of the MIQC, the suitable nodes for the installation of the fixed-step capacitors are fixed, and their sizes are recursively evaluated in a power flow methodology that allows for determining the optimal sizes. In the second stage, the successive approximation power flow method is applied to determine the optimal sizes assigned to these compensation devices. Numerical results in three test feeders with 33, 69, and 85 buses demonstrate the effectiveness of the proposed two-stage solution method for two operation scenarios: (i) operation of the distribution system under peak load conditions throughout the year, and (ii) operation considering daily demand variations and renewable generation penetration. Comparative results with the GAMS software confirm the excellent results reached using the proposed optimization approach. All the simulations were carried out in the MATLAB programming environment, version 2021b, as well as using the Gurobi solver in the convex programming tool known as CVX.19 páginasPdfapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2Computers - Vol. 11 No. 7 (2022)Selection and Location of Fixed-Step Capacitor Banks in Distribution Grids for Minimization of Annual Operating Costs: A Two-Stage Approachinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/drafthttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/version/c_b1a7d7d4d402bccehttp://purl.org/coar/resource_type/c_2df8fbb1Annual operating cost minimizationDaily load variationsFixed-step capacitor banksSuccessive approximation power flow methodTwo-stage optimization approachCartagena de IndiasPicard, J.L., Aguado, I., Cobos, N.G., Fuster-Roig, V., Quijano-López, A. 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