Optimal demand reconfiguration in three-phase distribution grids using an mi-convex model
The problem of the optimal load redistribution in electrical three-phase medium-voltage grids is addressed in this research from the point of view of mixed-integer convex optimization. The mathematical formulation of the load redistribution problem is developed in terminals of the distribution node...
- Autores:
-
Montoya, Oscar Danilo
Arias-Londoño, Andres
Grisales-Noreña, Luis Fernando
Barrios, José Ángel
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:20.500.12585/12422
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/12422
- Palabra clave:
- Distribution Network;
Reconfiguration;
Distributed Generation
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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Optimal demand reconfiguration in three-phase distribution grids using an mi-convex model |
| title |
Optimal demand reconfiguration in three-phase distribution grids using an mi-convex model |
| spellingShingle |
Optimal demand reconfiguration in three-phase distribution grids using an mi-convex model Distribution Network; Reconfiguration; Distributed Generation LEMB |
| title_short |
Optimal demand reconfiguration in three-phase distribution grids using an mi-convex model |
| title_full |
Optimal demand reconfiguration in three-phase distribution grids using an mi-convex model |
| title_fullStr |
Optimal demand reconfiguration in three-phase distribution grids using an mi-convex model |
| title_full_unstemmed |
Optimal demand reconfiguration in three-phase distribution grids using an mi-convex model |
| title_sort |
Optimal demand reconfiguration in three-phase distribution grids using an mi-convex model |
| dc.creator.fl_str_mv |
Montoya, Oscar Danilo Arias-Londoño, Andres Grisales-Noreña, Luis Fernando Barrios, José Ángel Chamorro, Harold R. |
| dc.contributor.author.none.fl_str_mv |
Montoya, Oscar Danilo Arias-Londoño, Andres Grisales-Noreña, Luis Fernando Barrios, José Ángel Chamorro, Harold R. |
| dc.subject.keywords.spa.fl_str_mv |
Distribution Network; Reconfiguration; Distributed Generation |
| topic |
Distribution Network; Reconfiguration; Distributed Generation LEMB |
| dc.subject.armarc.none.fl_str_mv |
LEMB |
| description |
The problem of the optimal load redistribution in electrical three-phase medium-voltage grids is addressed in this research from the point of view of mixed-integer convex optimization. The mathematical formulation of the load redistribution problem is developed in terminals of the distribution node by accumulating all active and reactive power loads per phase. These loads are used to propose an objective function in terms of minimization of the average unbalanced (asymmetry) grade of the network with respect to the ideal mean consumption per-phase. The objective function is defined as the l1-norm which is a convex function. As the constraints consider the binary nature of the decision variable, each node is conformed by a 3 × 3 matrix where each row and column have to sum 1, and two equations associated with the load redistribution at each phase for each of the network nodes. Numerical results demonstrate the efficiency of the proposed mixed-integer convex model to equilibrate the power consumption per phase in regards with the ideal value in three different test feeders, which are composed of 4, 15, and 37 buses, respectively. © 2021 by the authors. Licensee MDPI, Basel, Switzerland. |
| publishDate |
2021 |
| dc.date.issued.none.fl_str_mv |
2021 |
| dc.date.accessioned.none.fl_str_mv |
2023-07-24T20:49:46Z |
| dc.date.available.none.fl_str_mv |
2023-07-24T20:49:46Z |
| dc.date.submitted.none.fl_str_mv |
2023 |
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http://purl.org/coar/version/c_b1a7d7d4d402bcce |
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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/draft |
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http://purl.org/coar/resource_type/c_6501 |
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draft |
| dc.identifier.citation.spa.fl_str_mv |
Montoya, O. D., Arias-Londoño, A., Grisales-Noreña, L. F., Barrios, J. Á., & Chamorro, H. R. (2021). Optimal Demand Reconfiguration in Three-Phase Distribution Grids Using an MI-Convex Model. Symmetry, 13(7), 1124. |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/20.500.12585/12422 |
| dc.identifier.doi.none.fl_str_mv |
10.3390/sym13071124 |
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Universidad Tecnológica de Bolívar |
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Repositorio Universidad Tecnológica de Bolívar |
| identifier_str_mv |
Montoya, O. D., Arias-Londoño, A., Grisales-Noreña, L. F., Barrios, J. Á., & Chamorro, H. R. (2021). Optimal Demand Reconfiguration in Three-Phase Distribution Grids Using an MI-Convex Model. Symmetry, 13(7), 1124. 10.3390/sym13071124 Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
| url |
https://hdl.handle.net/20.500.12585/12422 |
| dc.language.iso.spa.fl_str_mv |
eng |
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eng |
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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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openAccess |
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15 páginas |
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application/pdf |
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Cartagena de Indias |
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Symmetry |
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Universidad Tecnológica de Bolívar |
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Montoya, Oscar Danilo9fa8a75a-58fa-436d-a6e2-d80f718a4ea8Arias-Londoño, Andresb78c3735-f81d-45a4-ab64-b27983ba9667Grisales-Noreña, Luis Fernando7c27cda4-5fe4-4686-8f72-b0442c58a5d1Barrios, José Ángel9279b48d-37a4-457d-8829-69eea05166f3Chamorro, Harold R.59e2dcd8-f603-4e1f-8459-da694d5a324d2023-07-24T20:49:46Z2023-07-24T20:49:46Z20212023Montoya, O. D., Arias-Londoño, A., Grisales-Noreña, L. F., Barrios, J. Á., & Chamorro, H. R. (2021). Optimal Demand Reconfiguration in Three-Phase Distribution Grids Using an MI-Convex Model. Symmetry, 13(7), 1124.https://hdl.handle.net/20.500.12585/1242210.3390/sym13071124Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThe problem of the optimal load redistribution in electrical three-phase medium-voltage grids is addressed in this research from the point of view of mixed-integer convex optimization. The mathematical formulation of the load redistribution problem is developed in terminals of the distribution node by accumulating all active and reactive power loads per phase. These loads are used to propose an objective function in terms of minimization of the average unbalanced (asymmetry) grade of the network with respect to the ideal mean consumption per-phase. The objective function is defined as the l1-norm which is a convex function. As the constraints consider the binary nature of the decision variable, each node is conformed by a 3 × 3 matrix where each row and column have to sum 1, and two equations associated with the load redistribution at each phase for each of the network nodes. Numerical results demonstrate the efficiency of the proposed mixed-integer convex model to equilibrate the power consumption per phase in regards with the ideal value in three different test feeders, which are composed of 4, 15, and 37 buses, respectively. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.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_abf2SymmetryOptimal demand reconfiguration in three-phase distribution grids using an mi-convex modelinfo: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 Network;Reconfiguration;Distributed GenerationLEMBCartagena de IndiasBina, M.T., Kashefi, A. Three-phase unbalance of distribution systems: Complementary analysis and experimental case study (2011) International Journal of Electrical Power and Energy Systems, 33 (4), pp. 817-826. Cited 100 times. doi: 10.1016/j.ijepes.2010.12.003Lavorato, M., Franco, J.F., Rider, M.J., Romero, R. Imposing radiality constraints in distribution system optimization problems (2012) IEEE Transactions on Power Systems, 27 (1), art. no. 5982115, pp. 172-180. Cited 411 times. doi: 10.1109/TPWRS.2011.2161349Cortés-Caicedo, B., Avellaneda-Gómez, L.S., Montoya, O.D., Alvarado-Barrios, L., Chamorro, H.R. Application of the vortex search algorithm to the phase-balancing problem in distribution systems (2021) Energies, 14 (5), art. no. 1282. Cited 22 times. https://www.mdpi.com/1996-1073/14/5/1282/pdf doi: 10.3390/en14051282Caicedo, J.E., Romero, A.A., Zini, H.C. Assessment of the harmonic distortion in residential distribution networks: Literature review (2017) Ingenieria e Investigacion, 37 (3), pp. 72-84. Cited 12 times. https://revistas.unal.edu.co/index.php/ingeinv/article/download/64913/64375 doi: 10.15446/ing.investig.v37n3.64913Li, Q., Ayyanar, R., Vittal, V. Convex optimization for des planning and operation in radial distribution systems with high penetration of photovoltaic resources (2016) IEEE Transactions on Sustainable Energy, 7 (3), art. no. 7389434, pp. 985-995. Cited 91 times. doi: 10.1109/TSTE.2015.2509648Montoya, O.D., Gil-González, W., Hernández, J.C. Efficient operative cost reduction in distribution grids considering the optimal placement and sizing of d-statcoms using a discrete-continuous vsa (2021) Applied Sciences (Switzerland), 11 (5), art. no. 2175, pp. 1-18. Cited 26 times. https://www.mdpi.com/2076-3417/11/5/2175/pdf doi: 10.3390/app11052175Gil-González, W., Montoya, O.D., Rajagopalan, A., Grisales-Noreña, L.F., Hernández, J.C. Optimal selection and location of fixed-step capacitor banks in distribution networks using a discrete version of the vortex search algorithm (2020) Energies, 13 (18), art. no. 4914. Cited 29 times. https://www.mdpi.com/1996-1073/13/18/4914 doi: 10.3390/en13184914Sadiq, A.A., Adamu, S.S., Buhari, M. Optimal distributed generation planning in distribution networks: A comparison of transmission network models with FACTS (2019) Engineering Science and Technology, an International Journal, 22 (1), pp. 33-46. Cited 21 times. www.journals.elsevier.com/engineering-science-and-technology-an-international-journal/ doi: 10.1016/j.jestch.2018.09.013Montoya, O.D., Gil-González, W., Grisales-Noreña, L.F. An exact MINLP model for optimal location and sizing of DGs in distribution networks: A general algebraic modeling system approach (Open Access) (2020) Ain Shams Engineering Journal, 11 (2), pp. 409-418. Cited 51 times. http://www.elsevier.com/wps/find/journaldescription.cws_home/724208/description#description doi: 10.1016/j.asej.2019.08.011Dall'Anese, E., Giannakis, G.B. Convex distribution system reconfiguration using group sparsity (2013) IEEE Power and Energy Society General Meeting, art. no. 6672702. Cited 3 times. ISBN: 978-147991303-9 doi: 10.1109/PESMG.2013.6672702Saif, A.M., Buccella, C., Patel, V., Tinari, M., Cecati, C. Design and cost analysis for STATCOM in low and medium voltage systems (2019) Proceedings: IECON 2018 - 44th Annual Conference of the IEEE Industrial Electronics Society, art. no. 8591502, pp. 3938-3943. Cited 9 times. http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=8560606 ISBN: 978-150906684-1 doi: 10.1109/IECON.2018.8591502Castiblanco-Pérez, C.M., Toro-Rodríguez, D.E., Montoya, O.D., Giral-Ramírez, D.A. Optimal placement and sizing of d-statcom in radial and meshed distribution networks using a discrete-continuous version of the genetic algorithm (2021) Electronics (Switzerland), 10 (12), art. no. 1452. Cited 26 times. https://www.mdpi.com/2079-9292/10/12/1452/pdf doi: 10.3390/electronics10121452Arias, J., Calle, M., Turizo, D., Guerrero, J., Candelo-Becerra, J.E. Historical load balance in distribution systems using the branch and bound algorithm (2019) Energies, 12 (7), art. no. 1219. Cited 16 times. https://www.mdpi.com/1996-1073/12/7 doi: 10.3390/en12071219Montoya, O.D., Molina-Cabrera, A., Grisales-Noreña, L.F., Hincapié, R.A., Granada, A. Improved genetic algorithm for phase-balancing in three-phase distribution networks: A master-slave optimization approach (2021) Computation, 9 (6), art. no. 67. Cited 11 times. https://www.mdpi.com/2079-3197/9/6/67/pdf doi: 10.3390/computation9060067Ghasemi, S. Balanced and unbalanced distribution networks reconfiguration considering reliability indices (Open Access) (2018) Ain Shams Engineering Journal, 9 (4), pp. 1567-1579. 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Cited 23 times. doi: 10.1016/j.epsr.2018.03.019Montoya, O.D., Gil-González, W., Molina-Cabrera, A. Exact minimization of the energy losses and the CO2 emissions in isolated DC distribution networks using PV sources (Open Access) (2021) DYNA (Colombia), 88 (217), pp. 178-184. Cited 7 times. http://www.scielo.org.co/pdf/dyna/v88n217/2346-2183-dyna-88-217-178.pdf doi: 10.15446/dyna.v88n217.93099Aceituno-Cabezas, B., Dai, H., Cappelletto, J., Grieco, J.C., Fernandez-Lopez, G. A mixed-integer convex optimization framework for robust multilegged robot locomotion planning over challenging terrain (Open Access) (2017) IEEE International Conference on Intelligent Robots and Systems, 2017-September, art. no. 8206313, pp. 4467-4472. Cited 7 times. ISBN: 978-153862682-5 doi: 10.1109/IROS.2017.8206313Zhang, W.J., Van Luttervelt, C.A. Toward a resilient manufacturing system (Open Access) (2011) CIRP Annals - Manufacturing Technology, 60 (1), pp. 469-472. 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