Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach

This paper deals with the problem regarding the optimal siting and sizing of distribution static compensators (D-STATCOMs) in electrical distribution networks to minimize the expected total annual operating costs. These costs are associated with the investments made in D-STATCOMs and expected energy...

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Autores:
Garrido, Víctor Manuel
Montoya, Oscar Danilo
Medina-Quesada, Ángeles
Hernández, Jesús C
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:20.500.12585/12430
Acceso en línea:
https://hdl.handle.net/20.500.12585/12430
Palabra clave:
Distribution static compensators
Mixed-integer convex optimization
Optimal power flow approximation
Radial and meshed distribution networks
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openAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.title.spa.fl_str_mv Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach
title Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach
spellingShingle Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach
Distribution static compensators
Mixed-integer convex optimization
Optimal power flow approximation
Radial and meshed distribution networks
title_short Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach
title_full Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach
title_fullStr Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach
title_full_unstemmed Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach
title_sort Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach
dc.creator.fl_str_mv Garrido, Víctor Manuel
Montoya, Oscar Danilo
Medina-Quesada, Ángeles
Hernández, Jesús C
dc.contributor.author.none.fl_str_mv Garrido, Víctor Manuel
Montoya, Oscar Danilo
Medina-Quesada, Ángeles
Hernández, Jesús C
dc.subject.keywords.spa.fl_str_mv Distribution static compensators
Mixed-integer convex optimization
Optimal power flow approximation
Radial and meshed distribution networks
topic Distribution static compensators
Mixed-integer convex optimization
Optimal power flow approximation
Radial and meshed distribution networks
description This paper deals with the problem regarding the optimal siting and sizing of distribution static compensators (D-STATCOMs) in electrical distribution networks to minimize the expected total annual operating costs. These costs are associated with the investments made in D-STATCOMs and expected energy losses costs. To represent the electrical behavior of the distribution networks, a power flow formulation is used which includes voltages, currents, and power as variables via incidence matrix representation. This formulation generates a mixed-integer nonlinear programming (MINLP) model that accurately represents the studied problem. However, in light of the complexities involved in solving this MINLP model efficiently, this research proposes a mixed-integer convex reformulation. Numerical results regarding the final annual operating costs of the network demonstrate that the proposed mixed-integer convex model is efficient for selecting and locating D-STATCOMs in distribution networks, with the main advantage that it is applicable to radial and meshed distribution grid configurations. A comparative analysis with respect to metaheuristic optimizers and convex approximations confirms the robustness of the proposed formulation. All numerical validations were conducted in the MATLAB programming environment with our own scripts (in the case of metaheuristics) and the CVX convex disciplined tool via the Gurobi solver. In addition, the exact MINLP model is solved using the GAMS software. © 2022 by the authors.
publishDate 2022
dc.date.issued.none.fl_str_mv 2022-11-10
dc.date.accessioned.none.fl_str_mv 2023-07-25T12:10:35Z
dc.date.available.none.fl_str_mv 2023-07-25T12:10:35Z
dc.date.submitted.none.fl_str_mv 2023-07
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dc.identifier.citation.spa.fl_str_mv Garrido, V.M.; Montoya, O.D.; Medina-Quesada, Á.; Hernández, J.C. Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach. Sensors 2022, 22, 8676. https://doi.org/10.3390/s22228676
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12585/12430
dc.identifier.doi.none.fl_str_mv 10.3390/s22228676
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 Garrido, V.M.; Montoya, O.D.; Medina-Quesada, Á.; Hernández, J.C. Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach. Sensors 2022, 22, 8676. https://doi.org/10.3390/s22228676
10.3390/s22228676
Universidad Tecnológica de Bolívar
Repositorio Universidad Tecnológica de Bolívar
url https://hdl.handle.net/20.500.12585/12430
dc.language.iso.spa.fl_str_mv eng
language eng
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
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 15 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 Sensors - Vol. 22 No. 22 (2022)
institution Universidad Tecnológica de Bolívar
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spelling Garrido, Víctor Manuelf53136bc-ecc5-45ad-a5a6-d1b2c1455a92Montoya, Oscar Danilo8a59ede1-6a4a-4d2e-abdc-d0afb14d4480Medina-Quesada, Ángelesc4945c01-b7fc-40f7-af40-bc8515e102d8Hernández, Jesús C0bddc46e-ce64-47d5-b654-2b2dfc3d87dc2023-07-25T12:10:35Z2023-07-25T12:10:35Z2022-11-102023-07Garrido, V.M.; Montoya, O.D.; Medina-Quesada, Á.; Hernández, J.C. Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex Approach. Sensors 2022, 22, 8676. https://doi.org/10.3390/s22228676https://hdl.handle.net/20.500.12585/1243010.3390/s22228676Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThis paper deals with the problem regarding the optimal siting and sizing of distribution static compensators (D-STATCOMs) in electrical distribution networks to minimize the expected total annual operating costs. These costs are associated with the investments made in D-STATCOMs and expected energy losses costs. To represent the electrical behavior of the distribution networks, a power flow formulation is used which includes voltages, currents, and power as variables via incidence matrix representation. This formulation generates a mixed-integer nonlinear programming (MINLP) model that accurately represents the studied problem. However, in light of the complexities involved in solving this MINLP model efficiently, this research proposes a mixed-integer convex reformulation. Numerical results regarding the final annual operating costs of the network demonstrate that the proposed mixed-integer convex model is efficient for selecting and locating D-STATCOMs in distribution networks, with the main advantage that it is applicable to radial and meshed distribution grid configurations. A comparative analysis with respect to metaheuristic optimizers and convex approximations confirms the robustness of the proposed formulation. All numerical validations were conducted in the MATLAB programming environment with our own scripts (in the case of metaheuristics) and the CVX convex disciplined tool via the Gurobi solver. In addition, the exact MINLP model is solved using the GAMS software. © 2022 by the authors.15 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_abf2Sensors - Vol. 22 No. 22 (2022)Optimal Reactive Power Compensation in Distribution Networks with Radial and Meshed Structures Using D-STATCOMs: A Mixed-Integer Convex 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_2df8fbb1Distribution static compensatorsMixed-integer convex optimizationOptimal power flow approximationRadial and meshed distribution networksCartagena de IndiasMishra, S., Das, D., Paul, S. A comprehensive review on power distribution network reconfiguration (2017) Energy Systems, 8 (2), pp. 227-284. 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