A two-stage approach to locate and size PV sources in distribution networks for annual grid operative costs minimization
This paper contributes with a new two-stage optimization methodology to solve the problem of the optimal placement and sizing of solar photovoltaic (PV) generation units in mediumvoltage distribution networks. The optimization problem is formulated with a mixed-integer nonlinear programming (MINLP)...
- Autores:
-
Montoya Giraldo, Oscar Danilo
Rivas-Trujillo, Edwin
C. Hernández, Jesus
- 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:20.500.12585/10688
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/10688
https://doi.org/10.3390/electronics11060961
- Palabra clave:
- Solar photovoltaic generation
Mixed-integer quadratic convex approximation
Annual grid operating costs minimization
Conic approximation
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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A two-stage approach to locate and size PV sources in distribution networks for annual grid operative costs minimization |
| title |
A two-stage approach to locate and size PV sources in distribution networks for annual grid operative costs minimization |
| spellingShingle |
A two-stage approach to locate and size PV sources in distribution networks for annual grid operative costs minimization Solar photovoltaic generation Mixed-integer quadratic convex approximation Annual grid operating costs minimization Conic approximation LEMB |
| title_short |
A two-stage approach to locate and size PV sources in distribution networks for annual grid operative costs minimization |
| title_full |
A two-stage approach to locate and size PV sources in distribution networks for annual grid operative costs minimization |
| title_fullStr |
A two-stage approach to locate and size PV sources in distribution networks for annual grid operative costs minimization |
| title_full_unstemmed |
A two-stage approach to locate and size PV sources in distribution networks for annual grid operative costs minimization |
| title_sort |
A two-stage approach to locate and size PV sources in distribution networks for annual grid operative costs minimization |
| dc.creator.fl_str_mv |
Montoya Giraldo, Oscar Danilo Rivas-Trujillo, Edwin C. Hernández, Jesus |
| dc.contributor.author.none.fl_str_mv |
Montoya Giraldo, Oscar Danilo Rivas-Trujillo, Edwin C. Hernández, Jesus |
| dc.subject.keywords.spa.fl_str_mv |
Solar photovoltaic generation Mixed-integer quadratic convex approximation Annual grid operating costs minimization Conic approximation |
| topic |
Solar photovoltaic generation Mixed-integer quadratic convex approximation Annual grid operating costs minimization Conic approximation LEMB |
| dc.subject.armarc.none.fl_str_mv |
LEMB |
| description |
This paper contributes with a new two-stage optimization methodology to solve the problem of the optimal placement and sizing of solar photovoltaic (PV) generation units in mediumvoltage distribution networks. The optimization problem is formulated with a mixed-integer nonlinear programming (MINLP) model, where it combines binary variables regarding the nodes where the PV generators will be located and continuous variables associated with the power flow solution. To solve the MINLP model a decoupled methodology is used where the binary problem is firstly solved with mixed-integer quadratic approximation; and once the nodes where the PV sources will be located are known, the dimensioning problem of the PV generators is secondly solved through an interior point method applied to the classical multi-period power flow formulation. Numerical results in the IEEE 33-bus and IEEE 85-bus systems demonstrate that the proposed approach improves the current literature results reached with combinatorial methods such as the Chu and Beasley genetic algorithm, the vortex search algorithm, the Newton-metaheuristic algorithm as well as the exact solution of the MINLP model with the GAMS software and the BONMIN solver. All the numerical simulations are implemented in the MATLAB programming environment and the convex equivalent models are solved with the CVX tool. |
| publishDate |
2022 |
| dc.date.accessioned.none.fl_str_mv |
2022-05-09T12:11:39Z |
| dc.date.available.none.fl_str_mv |
2022-05-09T12:11:39Z |
| dc.date.issued.none.fl_str_mv |
2022-03-21 |
| dc.date.submitted.none.fl_str_mv |
2022-05-06 |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
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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_6501 |
| dc.identifier.citation.spa.fl_str_mv |
: Montoya, O.D.; Rivas-Trujillo, E.; Hernández, J.C. A Two-Stage Approach to Locate and Size PV Sources in Distribution Networks for Annual Grid Operative Costs Minimization. Electronics 2022, 11, 961. https://doi.org/10.3390/electronics11060961 |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/20.500.12585/10688 |
| dc.identifier.doi.none.fl_str_mv |
https://doi.org/10.3390/electronics11060961 |
| 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.; Hernández, J.C. A Two-Stage Approach to Locate and Size PV Sources in Distribution Networks for Annual Grid Operative Costs Minimization. Electronics 2022, 11, 961. https://doi.org/10.3390/electronics11060961 Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
| url |
https://hdl.handle.net/20.500.12585/10688 https://doi.org/10.3390/electronics11060961 |
| 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 |
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18 Páginas |
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application/pdf |
| dc.publisher.place.spa.fl_str_mv |
Cartagena de Indias |
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Electronics 2022, 11, 961 |
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Universidad Tecnológica de Bolívar |
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Montoya Giraldo, Oscar Daniloc66dce06-2f1b-4a61-9631-60e8f37e8432Rivas-Trujillo, Edwin0720b1ee-acdc-4aea-b24b-fc319c4dd61cC. Hernández, Jesus43ece63c-ab77-49bc-bdb6-53046d375d352022-05-09T12:11:39Z2022-05-09T12:11:39Z2022-03-212022-05-06: Montoya, O.D.; Rivas-Trujillo, E.; Hernández, J.C. A Two-Stage Approach to Locate and Size PV Sources in Distribution Networks for Annual Grid Operative Costs Minimization. Electronics 2022, 11, 961. https://doi.org/10.3390/electronics11060961https://hdl.handle.net/20.500.12585/10688https://doi.org/10.3390/electronics11060961Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThis paper contributes with a new two-stage optimization methodology to solve the problem of the optimal placement and sizing of solar photovoltaic (PV) generation units in mediumvoltage distribution networks. The optimization problem is formulated with a mixed-integer nonlinear programming (MINLP) model, where it combines binary variables regarding the nodes where the PV generators will be located and continuous variables associated with the power flow solution. To solve the MINLP model a decoupled methodology is used where the binary problem is firstly solved with mixed-integer quadratic approximation; and once the nodes where the PV sources will be located are known, the dimensioning problem of the PV generators is secondly solved through an interior point method applied to the classical multi-period power flow formulation. Numerical results in the IEEE 33-bus and IEEE 85-bus systems demonstrate that the proposed approach improves the current literature results reached with combinatorial methods such as the Chu and Beasley genetic algorithm, the vortex search algorithm, the Newton-metaheuristic algorithm as well as the exact solution of the MINLP model with the GAMS software and the BONMIN solver. All the numerical simulations are implemented in the MATLAB programming environment and the convex equivalent models are solved with the CVX tool.18 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 2022, 11, 961A two-stage approach to locate and size PV sources in distribution networks for annual grid operative costs minimizationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Solar photovoltaic generationMixed-integer quadratic convex approximationAnnual grid operating costs minimizationConic approximationLEMBCartagena de IndiasInvestigadoresvan Ruijven, B.J.; Cian, E.D.; Wing, I.S. Amplification of future energy demand growth due to climate change. Nat. 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Efficient Reduction in the Annual Investment Costs in AC Distribution Networks via Optimal Integration of Solar PV Sources Using the Newton Metaheuristic Algorithm. Appl. Sci. 2021, 11, 11525Montoya, O.D.; Grisales-Nore na, L.F.; Perea-Moreno, A.J. Optimal Investments in PV Sources for Grid-Connected Distribution Networks: An Application of the Discrete–Continuous Genetic Algorithm. Sustainability 2021, 13, 13633Hraiz, M.D.; Garcia, J.A.M.; Castaneda, R.J.; Muhsen, H. Optimal PV Size and Location to Reduce Active Power Losses While Achieving Very High Penetration Level With Improvement in Voltage Profile Using Modified Jaya Algorithm. IEEE J. Photovolt. 2020, 10, 1166–1174Cortés-Caicedo, B.; Molina-Martin, F.; Grisales-Nore na, L.F.; Montoya, O.D.; Hernández, J.C. Optimal Design of PV Systems in Electrical Distribution Networks by Minimizing the Annual Equivalent Operative Costs through the Discrete-Continuous Vortex Search Algorithm. 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