A mixed-integer conic formulation for optimal placement and dimensioning of DGs in DC distribution networks
The problem of the optimal placement and dimensioning of constant power sources (i.e., distributed generators) in electrical direct current (DC) distribution networks has been addressed in this research from the point of view of convex optimization. The original mixed-integer nonlinear programming (...
- Autores:
-
Molina-Martin, Federico
Montoya, Oscar Danilo
Grisales-Noreña, Luis Fernando
Hernández, Jesus C.
- Tipo de recurso:
- Fecha de publicación:
- 2021
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/10037
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/10037
https://www.mdpi.com/2079-9292/10/2/176/htm
- Palabra clave:
- Second-order cone programming
Power losses minimization
Optimal power flow model
Convex optimization
Power sources
Photovoltaic generation
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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A mixed-integer conic formulation for optimal placement and dimensioning of DGs in DC distribution networks |
| title |
A mixed-integer conic formulation for optimal placement and dimensioning of DGs in DC distribution networks |
| spellingShingle |
A mixed-integer conic formulation for optimal placement and dimensioning of DGs in DC distribution networks Second-order cone programming Power losses minimization Optimal power flow model Convex optimization Power sources Photovoltaic generation LEMB |
| title_short |
A mixed-integer conic formulation for optimal placement and dimensioning of DGs in DC distribution networks |
| title_full |
A mixed-integer conic formulation for optimal placement and dimensioning of DGs in DC distribution networks |
| title_fullStr |
A mixed-integer conic formulation for optimal placement and dimensioning of DGs in DC distribution networks |
| title_full_unstemmed |
A mixed-integer conic formulation for optimal placement and dimensioning of DGs in DC distribution networks |
| title_sort |
A mixed-integer conic formulation for optimal placement and dimensioning of DGs in DC distribution networks |
| dc.creator.fl_str_mv |
Molina-Martin, Federico Montoya, Oscar Danilo Grisales-Noreña, Luis Fernando Hernández, Jesus C. |
| dc.contributor.author.none.fl_str_mv |
Molina-Martin, Federico Montoya, Oscar Danilo Grisales-Noreña, Luis Fernando Hernández, Jesus C. |
| dc.subject.keywords.es_CO.fl_str_mv |
Second-order cone programming Power losses minimization Optimal power flow model Convex optimization Power sources Photovoltaic generation |
| topic |
Second-order cone programming Power losses minimization Optimal power flow model Convex optimization Power sources Photovoltaic generation LEMB |
| dc.subject.armarc.none.fl_str_mv |
LEMB |
| description |
The problem of the optimal placement and dimensioning of constant power sources (i.e., distributed generators) in electrical direct current (DC) distribution networks has been addressed in this research from the point of view of convex optimization. The original mixed-integer nonlinear programming (MINLP) model has been transformed into a mixed-integer conic equivalent via second-order cone programming, which produces a MI-SOCP approximation. The main advantage of the proposed MI-SOCP model is the possibility of ensuring global optimum finding using a combination of the branch and bound method to address the integer part of the problem (i.e., the location of the power sources) and the interior-point method to solve the dimensioning problem. Numerical results in the 21- and 69-node test feeders demonstrated its efficiency and robustness compared to an exact MINLP method available in GAMS: in the case of the 69-node test feeders, the exact MINLP solvers are stuck in local optimal solutions, while the proposed MI-SOCP model enables the finding of the global optimal solution. Additional simulations with daily load curves and photovoltaic sources confirmed the effectiveness of the proposed MI-SOCP methodology in locating and sizing distributed generators in DC grids; it also had low processing times since the location of three photovoltaic sources only requires 233.16s, which is 3.7 times faster than the time required by the SOCP model in the absence of power sources. |
| publishDate |
2021 |
| dc.date.accessioned.none.fl_str_mv |
2021-02-17T20:43:49Z |
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2021-02-17T20:43:49Z |
| dc.date.issued.none.fl_str_mv |
2021-01-14 |
| dc.date.submitted.none.fl_str_mv |
2021-02-17 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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publishedVersion |
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Molina-Martin, Federico; Montoya, Oscar D.; Grisales-Noreña, Luis F.; Hernández, Jesus C. 2021. "A Mixed-Integer Conic Formulation for Optimal Placement and Dimensioning of DGs in DC Distribution Networks" Electronics 10, no. 2: 176. https://doi.org/10.3390/electronics10020176 |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/20.500.12585/10037 |
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https://www.mdpi.com/2079-9292/10/2/176/htm |
| dc.identifier.doi.none.fl_str_mv |
10.3390/electronics10020176 |
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Universidad Tecnológica de Bolívar |
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Repositorio Universidad Tecnológica de Bolívar |
| identifier_str_mv |
Molina-Martin, Federico; Montoya, Oscar D.; Grisales-Noreña, Luis F.; Hernández, Jesus C. 2021. "A Mixed-Integer Conic Formulation for Optimal Placement and Dimensioning of DGs in DC Distribution Networks" Electronics 10, no. 2: 176. https://doi.org/10.3390/electronics10020176 10.3390/electronics10020176 Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
| url |
https://hdl.handle.net/20.500.12585/10037 https://www.mdpi.com/2079-9292/10/2/176/htm |
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eng |
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eng |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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15 páginas |
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application/pdf |
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Cartagena de Indias |
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Electronics 2021, 10(2), 176 |
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Universidad Tecnológica de Bolívar |
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Molina-Martin, Federicof40a773f-c588-48cf-9130-70acce69303dMontoya, Oscar Danilo8a59ede1-6a4a-4d2e-abdc-d0afb14d4480Grisales-Noreña, Luis Fernando7c27cda4-5fe4-4686-8f72-b0442c58a5d1Hernández, Jesus C.349b3120-388b-42be-8bea-32156f0dc09d2021-02-17T20:43:49Z2021-02-17T20:43:49Z2021-01-142021-02-17Molina-Martin, Federico; Montoya, Oscar D.; Grisales-Noreña, Luis F.; Hernández, Jesus C. 2021. "A Mixed-Integer Conic Formulation for Optimal Placement and Dimensioning of DGs in DC Distribution Networks" Electronics 10, no. 2: 176. https://doi.org/10.3390/electronics10020176https://hdl.handle.net/20.500.12585/10037https://www.mdpi.com/2079-9292/10/2/176/htm10.3390/electronics10020176Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThe problem of the optimal placement and dimensioning of constant power sources (i.e., distributed generators) in electrical direct current (DC) distribution networks has been addressed in this research from the point of view of convex optimization. The original mixed-integer nonlinear programming (MINLP) model has been transformed into a mixed-integer conic equivalent via second-order cone programming, which produces a MI-SOCP approximation. The main advantage of the proposed MI-SOCP model is the possibility of ensuring global optimum finding using a combination of the branch and bound method to address the integer part of the problem (i.e., the location of the power sources) and the interior-point method to solve the dimensioning problem. Numerical results in the 21- and 69-node test feeders demonstrated its efficiency and robustness compared to an exact MINLP method available in GAMS: in the case of the 69-node test feeders, the exact MINLP solvers are stuck in local optimal solutions, while the proposed MI-SOCP model enables the finding of the global optimal solution. Additional simulations with daily load curves and photovoltaic sources confirmed the effectiveness of the proposed MI-SOCP methodology in locating and sizing distributed generators in DC grids; it also had low processing times since the location of three photovoltaic sources only requires 233.16s, which is 3.7 times faster than the time required by the SOCP model in the absence of power sources.15 páginasapplication/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_abf2Electronics 2021, 10(2), 176A mixed-integer conic formulation for optimal placement and dimensioning of DGs in DC distribution networksinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Second-order cone programmingPower losses minimizationOptimal power flow modelConvex optimizationPower sourcesPhotovoltaic generationLEMBCartagena de IndiasInvestigadoresLotfi, H.; Khodaei, A. 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02:14:35.305Repositorio Institucional 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