On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation
This paper deals with the problem of the optimal selection and location of batteries in DC distribution grids by proposing a new mixed-integer convex model. The exact mixed-integer nonlinear model is transformed into a mixed-integer quadratic convex model (MIQC) by approximating the product among vo...
- Autores:
-
Martin Serra, Federico
Montoya, Oscar Danilo
Alvarado-Barrios, Lázaro
Álvarez-Arroyo, Cesar
Chamorro, Harold R.
- 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:20.500.12585/10384
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/10384
https:// doi.org/10.3390/electronics10192339
- Palabra clave:
- Battery energy storage systems
Exact mathematical optimization
Global optimum finding
Mixed-integer quadratic programming
Power flow approximation
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation |
| title |
On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation |
| spellingShingle |
On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation Battery energy storage systems Exact mathematical optimization Global optimum finding Mixed-integer quadratic programming Power flow approximation LEMB |
| title_short |
On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation |
| title_full |
On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation |
| title_fullStr |
On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation |
| title_full_unstemmed |
On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation |
| title_sort |
On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation |
| dc.creator.fl_str_mv |
Martin Serra, Federico Montoya, Oscar Danilo Alvarado-Barrios, Lázaro Álvarez-Arroyo, Cesar Chamorro, Harold R. |
| dc.contributor.author.none.fl_str_mv |
Martin Serra, Federico Montoya, Oscar Danilo Alvarado-Barrios, Lázaro Álvarez-Arroyo, Cesar Chamorro, Harold R. |
| dc.subject.keywords.spa.fl_str_mv |
Battery energy storage systems Exact mathematical optimization Global optimum finding Mixed-integer quadratic programming Power flow approximation |
| topic |
Battery energy storage systems Exact mathematical optimization Global optimum finding Mixed-integer quadratic programming Power flow approximation LEMB |
| dc.subject.armarc.none.fl_str_mv |
LEMB |
| description |
This paper deals with the problem of the optimal selection and location of batteries in DC distribution grids by proposing a new mixed-integer convex model. The exact mixed-integer nonlinear model is transformed into a mixed-integer quadratic convex model (MIQC) by approximating the product among voltages in the power balance equations as a hyperplane. The most important characteristic of our proposal is that the MIQC formulations ensure the global optimum reaching via branch & bound methods and quadratic programming since each combination of the binary variables generates a node with a convex optimization subproblem. The formulation of the objective function is associated with the minimization of the energy losses for a daily operation scenario considering high renewable energy penetration. Numerical simulations show the effectiveness of the proposed MIQC model to reach the global optimum of the optimization model when compared with the exact optimization model in a 21-node test feeder. All the validations are carried out in the GAMS optimization software. |
| publishDate |
2021 |
| dc.date.issued.none.fl_str_mv |
2021-09-24 |
| dc.date.accessioned.none.fl_str_mv |
2022-01-17T20:50:10Z |
| dc.date.available.none.fl_str_mv |
2022-01-17T20:50:10Z |
| dc.date.submitted.none.fl_str_mv |
2022-01-07 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/restrictedAccess |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.identifier.citation.spa.fl_str_mv |
Serra, F.M.; Montoya, O.D.; Alvarado-Barrios, L.; Álvarez-Arroyo, C.; Chamorro, H.R. On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation. Electronics 2021, 10, 2339. https:// doi.org/10.3390/electronics10192339 |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/20.500.12585/10384 |
| dc.identifier.doi.none.fl_str_mv |
https:// doi.org/10.3390/electronics10192339 |
| 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 |
Serra, F.M.; Montoya, O.D.; Alvarado-Barrios, L.; Álvarez-Arroyo, C.; Chamorro, H.R. On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation. Electronics 2021, 10, 2339. https:// doi.org/10.3390/electronics10192339 Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
| url |
https://hdl.handle.net/20.500.12585/10384 https:// doi.org/10.3390/electronics10192339 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
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http://purl.org/coar/access_right/c_abf2 |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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info:eu-repo/semantics/openAccess |
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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 |
| dc.format.extent.none.fl_str_mv |
15 páginas |
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application/pdf |
| dc.publisher.place.spa.fl_str_mv |
Cartagena de Indias |
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Electronics - vol. 10 n° 19 |
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Universidad Tecnológica de Bolívar |
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Martin Serra, Federicoe9e063e5-cc5b-42c0-860e-d58b2bbd76b4Montoya, Oscar Danilo8a59ede1-6a4a-4d2e-abdc-d0afb14d4480Alvarado-Barrios, Lázaro32360024-18b0-46cd-8b05-2744e95b85f6Álvarez-Arroyo, Cesar0b539850-de92-4dde-9f25-224662e12e79Chamorro, Harold R.59e2dcd8-f603-4e1f-8459-da694d5a324d2022-01-17T20:50:10Z2022-01-17T20:50:10Z2021-09-242022-01-07Serra, F.M.; Montoya, O.D.; Alvarado-Barrios, L.; Álvarez-Arroyo, C.; Chamorro, H.R. On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation. Electronics 2021, 10, 2339. https:// doi.org/10.3390/electronics10192339https://hdl.handle.net/20.500.12585/10384https:// doi.org/10.3390/electronics10192339Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThis paper deals with the problem of the optimal selection and location of batteries in DC distribution grids by proposing a new mixed-integer convex model. The exact mixed-integer nonlinear model is transformed into a mixed-integer quadratic convex model (MIQC) by approximating the product among voltages in the power balance equations as a hyperplane. The most important characteristic of our proposal is that the MIQC formulations ensure the global optimum reaching via branch & bound methods and quadratic programming since each combination of the binary variables generates a node with a convex optimization subproblem. The formulation of the objective function is associated with the minimization of the energy losses for a daily operation scenario considering high renewable energy penetration. Numerical simulations show the effectiveness of the proposed MIQC model to reach the global optimum of the optimization model when compared with the exact optimization model in a 21-node test feeder. All the validations are carried out in the GAMS optimization software.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 - vol. 10 n° 19On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/resource_type/c_2df8fbb1Battery energy storage systemsExact mathematical optimizationGlobal optimum findingMixed-integer quadratic programmingPower flow approximationLEMBCartagena de IndiasGuerrero, J.; Blaabjerg, F.; Zhelev, T.; Hemmes, K.; Monmasson, E.; Jemei, S.; Comech, M.; Granadino, R.; Frau, J. Distributed Generation: Toward a New Energy Paradigm. IEEE Ind. Electron. Mag. 2010, 4, 52–64Saberi, H.; Nazaripouya, H.; Mehraeen, S. 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