On the Optimal Reconfiguration of Radial AC Distribution Networks Using an MINLP Formulation: A GAMS-Based Approach
This paper addresses the problem of the optimal reconfiguration of medium-voltage distribution networks by proposing a mixedinteger nonlinear programming (MINLP) model. The objective function of this optimization model is the minimization of the total power losses in all the branches of the network,...
- Autores:
-
Montoya-Giraldo, Oscar D.
Gil-González, Walter
Grisales-Noreña, Luis F.
Giral-Ramírez, Diego A.
Molina-Cabrera, Alexander
- Tipo de recurso:
- Fecha de publicación:
- 2022
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/12429
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/12429
- Palabra clave:
- Distribution Network;
Reconfiguration;
Distributed Generation
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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On the Optimal Reconfiguration of Radial AC Distribution Networks Using an MINLP Formulation: A GAMS-Based Approach |
| dc.title.alternative.spa.fl_str_mv |
Sobre la reconfiguración óptima de redes radiales de distribución empleando un modelo de PNLEM: un enfoque basado en GAMS |
| title |
On the Optimal Reconfiguration of Radial AC Distribution Networks Using an MINLP Formulation: A GAMS-Based Approach |
| spellingShingle |
On the Optimal Reconfiguration of Radial AC Distribution Networks Using an MINLP Formulation: A GAMS-Based Approach Distribution Network; Reconfiguration; Distributed Generation LEMB |
| title_short |
On the Optimal Reconfiguration of Radial AC Distribution Networks Using an MINLP Formulation: A GAMS-Based Approach |
| title_full |
On the Optimal Reconfiguration of Radial AC Distribution Networks Using an MINLP Formulation: A GAMS-Based Approach |
| title_fullStr |
On the Optimal Reconfiguration of Radial AC Distribution Networks Using an MINLP Formulation: A GAMS-Based Approach |
| title_full_unstemmed |
On the Optimal Reconfiguration of Radial AC Distribution Networks Using an MINLP Formulation: A GAMS-Based Approach |
| title_sort |
On the Optimal Reconfiguration of Radial AC Distribution Networks Using an MINLP Formulation: A GAMS-Based Approach |
| dc.creator.fl_str_mv |
Montoya-Giraldo, Oscar D. Gil-González, Walter Grisales-Noreña, Luis F. Giral-Ramírez, Diego A. Molina-Cabrera, Alexander |
| dc.contributor.author.none.fl_str_mv |
Montoya-Giraldo, Oscar D. Gil-González, Walter Grisales-Noreña, Luis F. Giral-Ramírez, Diego A. Molina-Cabrera, Alexander |
| 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 |
This paper addresses the problem of the optimal reconfiguration of medium-voltage distribution networks by proposing a mixedinteger nonlinear programming (MINLP) model. The objective function of this optimization model is the minimization of the total power losses in all the branches of the network, considering active and reactive power balance equations, voltage regulation bounds, and device capabilities, among others. The proposed MINLP formulation works with branch-to-node incidence that allows representing the active and reactive power flow in branches as a function of the real and imaginary components of the voltages and currents. The solution of the MINLP model is reached through the general algebraic modeling system widely known as the GAMS package while presenting it in the form of a tutorial. This software allows implementing the proposed model a in compact way, which is solved via branch and bound methods. Two test feeders comprising 5 and 14 nodes allow demonstrating the fidelity of the proposed MINLP model regarding power loss minimization when compared to that reported in the specialized literature. © 2022, Universidad Nacional de Colombia. All rights reserved. |
| publishDate |
2022 |
| dc.date.issued.none.fl_str_mv |
2022 |
| dc.date.accessioned.none.fl_str_mv |
2023-07-25T12:10:28Z |
| dc.date.available.none.fl_str_mv |
2023-07-25T12:10:28Z |
| 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-Giraldo, O. D., Gil-González, W., Grisales-Noreña, L. F., Giral-Ramírez, D. A., & Molina-Cabrera, A. (2022). On the optimal reconfiguration of radial AC distribution networks using an MINLP formulation: A GAMS-based approach. Ingeniería e Investigación, 42(2). |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/20.500.12585/12429 |
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10.15446/ing.investig.91192 |
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Universidad Tecnológica de Bolívar |
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Repositorio Universidad Tecnológica de Bolívar |
| identifier_str_mv |
Montoya-Giraldo, O. D., Gil-González, W., Grisales-Noreña, L. F., Giral-Ramírez, D. A., & Molina-Cabrera, A. (2022). On the optimal reconfiguration of radial AC distribution networks using an MINLP formulation: A GAMS-based approach. Ingeniería e Investigación, 42(2). 10.15446/ing.investig.91192 Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
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https://hdl.handle.net/20.500.12585/12429 |
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spa |
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spa |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
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12 páginas |
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Montoya-Giraldo, Oscar D.75f16377-d59b-429b-91bd-bcdbe45c7490Gil-González, Walter72191491-1c75-451d-a5c5-f7f45373ecd0Grisales-Noreña, Luis F.b2728c9a-1fd6-47c8-b7bc-d95ea0252207Giral-Ramírez, Diego A.8926006f-c361-4505-9219-92565a6b4de4Molina-Cabrera, Alexander01b29f76-a1f3-4151-a070-ce883ba398492023-07-25T12:10:28Z2023-07-25T12:10:28Z20222023Montoya-Giraldo, O. D., Gil-González, W., Grisales-Noreña, L. F., Giral-Ramírez, D. A., & Molina-Cabrera, A. (2022). On the optimal reconfiguration of radial AC distribution networks using an MINLP formulation: A GAMS-based approach. Ingeniería e Investigación, 42(2).https://hdl.handle.net/20.500.12585/1242910.15446/ing.investig.91192Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThis paper addresses the problem of the optimal reconfiguration of medium-voltage distribution networks by proposing a mixedinteger nonlinear programming (MINLP) model. The objective function of this optimization model is the minimization of the total power losses in all the branches of the network, considering active and reactive power balance equations, voltage regulation bounds, and device capabilities, among others. The proposed MINLP formulation works with branch-to-node incidence that allows representing the active and reactive power flow in branches as a function of the real and imaginary components of the voltages and currents. The solution of the MINLP model is reached through the general algebraic modeling system widely known as the GAMS package while presenting it in the form of a tutorial. This software allows implementing the proposed model a in compact way, which is solved via branch and bound methods. Two test feeders comprising 5 and 14 nodes allow demonstrating the fidelity of the proposed MINLP model regarding power loss minimization when compared to that reported in the specialized literature. © 2022, Universidad Nacional de Colombia. All rights reserved.12 páginasapplication/pdfspahttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2Ingenieria e InvestigacionOn the Optimal Reconfiguration of Radial AC Distribution Networks Using an MINLP Formulation: A GAMS-Based ApproachSobre la reconfiguración óptima de redes radiales de distribución empleando un modelo de PNLEM: un enfoque basado en GAMSinfo: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 IndiasAguado, J.A., de la Torre, S., Triviño, A. Battery energy storage systems in transmission network expansion planning (2017) Electric Power Systems Research, 145, pp. 63-72. Cited 54 times. doi: 10.1016/j.epsr.2016.11.012Ahuja, A., Pahwa, A. Using ant colony optimization for loss minimization in distribution networks (2005) Proceedings of the 37th Annual North American Power Symposium, 2005, 2005, art. no. 1560562, pp. 470-474. Cited 35 times. ISBN: 0780392558; 978-078039255-7 doi: 10.1109/NAPS.2005.1560562Amin, W.T., Montoya, O.D., Grisales-Noreña, L.F. Determination of the Voltage Stability Index in DC Networks with CPLs: A GAMS Implementation (2019) Communications in Computer and Information Science, 1052, pp. 552-564. Cited 6 times. http://www.springer.com/series/7899 ISBN: 978-303031018-9 doi: 10.1007/978-3-030-31019-6_46Anders, G. J. Minimization of losses in transmission and distribution systems, integrated electricity resource planning (1994) Integrated Electricity Resource Planning. NATO ASI Series (Series E: Applied Sciences), 261, pp. 297-328. A. T. de Almeida, A. H. Rosenfeld, J. Roturier, and J. Norgard (Eds) Springer https://doi.org/10.1007/978-94-011-1054-9_17Augugliaro, A., Dusonchet, L., Ippolito, M.G., Riva Sanseverino, E. A new formulation of the optimal compensation and reconfiguration problem including minimum load nodes unavailability for automated distribution networks (2004) COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 23 (1), pp. 104-118. Cited 4 times. http://www.emeraldinsight.com/info/journals/compel/compel.jsp doi: 10.1108/03321640410507581Noruzi Azghandi, M., Shojaei, A.A., Toosi, S., Lotfi, H. Optimal reconfiguration of distribution network feeders considering electrical vehicles and distributed generators (2023) Evolutionary Intelligence, 16 (1), pp. 49-66. Cited 2 times. https://www.springer.com/journal/12065 doi: 10.1007/s12065-021-00641-7Babu, P.V., Singh, S.P. Optimal Placement of DG in Distribution Network for Power Loss Minimization Using NLP & PLS Technique (2016) Energy Procedia, 90, pp. 441-454. Cited 39 times. http://www.sciencedirect.com/science/journal/18766102 doi: 10.1016/j.egypro.2016.11.211Civanlar, S., Grainger, J.J., Yin, H., Lee, S.S.H. Distribution Feeder Reconfiguration for Loss Reduction (Open Access) (1988) IEEE Transactions on Power Delivery, 3 (3), pp. 1217-1223. Cited 1193 times. doi: 10.1109/61.193906Cruz, M.R.M., Fitiwi, D.Z., Santos, S.F., Mariano, S.J.P.S., Catalão, J.P.S. Prospects of a meshed electrical distribution system featuring large-scale variable renewable power (2018) Energies, 11 (12), art. no. 3399. Cited 11 times. https://www.mdpi.com/1996-1073/11/12 doi: 10.3390/en11123399Elsheikh, A., Helmy, Y., Abouelseoud, Y., Elsherif, A. Optimal capacitor placement and sizing in radial electric powe r systems (2014) Alexandria Engineering Journal, 53 (4), pp. 809-816. Cited 70 times. http://www.elsevier.com/wps/find/journaldescription.cws_home/724292/description#description doi: 10.1016/j.aej.2014.09.012García-Martínez, S., Espinosa-Juárez, E. Optimal reconfiguration of electrical networks by applying tabu search to decrease voltage sag indices (2013) Electric Power Components and Systems, 41 (10), pp. 943-959. Cited 17 times. doi: 10.1080/15325008.2013.801053Gil-González, W., Montoya, O.D., Grisales-Noreña, L.F., Perea-Moreno, A.-J., Hernandez-Escobedo, Q. Optimal placement and sizing ofwind generators in ac grids considering reactive power capability and wind speed curves (2020) Sustainability (Switzerland), 12 (7), art. no. 2983. Cited 20 times. https://res.mdpi.com/d_attachment/sustainability/sustainability-12-02983/article_deploy/sustainability-12-02983-v2.pdf doi: 10.3390/su12072983González, A., Echavarren, F.M., Rouco, L., Gómez, T., Cabetas, J. Reconfiguration of large-scale distribution networks for planning studies (2012) International Journal of Electrical Power and Energy Systems, 37 (1), pp. 86-94. Cited 31 times. doi: 10.1016/j.ijepes.2011.12.009Grisales-Noreña, L.F., Montoya, D.G., Ramos-Paja, C.A. Optimal sizing and location of distributed generators based on PBIL and PSO techniques (2018) Energies, 11 (4), art. no. en11041018. Cited 98 times. http://www.mdpi.com/journal/energies/ doi: 10.3390/en11041018Grisales-Noreña, L.F., Montoya, O.D., Gil-González, W. Integration of energy storage systems in AC distribution networks: Optimal location, selecting, and operation approach based on genetic algorithms (2019) Journal of Energy Storage, 25, art. no. 100891. Cited 42 times. http://www.journals.elsevier.com/journal-of-energy-storage/ doi: 10.1016/j.est.2019.100891Izadi, M., Safdarian, A., Moeini-Aghtaie, M., Lehtonen, M. Optimal placement of protective and controlling devices in electric power distribution systems: A MIP Model (Open Access) (2019) IEEE Access, 7, art. no. 8819966, pp. 122827-122837. Cited 28 times. http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639 doi: 10.1109/ACCESS.2019.2938193Jafar-Nowdeh, A., Babanezhad, M., Arabi-Nowdeh, S., Naderipour, A., Kamyab, H., Abdul-Malek, Z., Ramachandaramurthy, V.K. Meta-heuristic matrix moth–flame algorithm for optimal reconfiguration of distribution networks and placement of solar and wind renewable sources considering reliability (2020) Environmental Technology and Innovation, 20, art. no. 101118. Cited 73 times. http://www.journals.elsevier.com/environmental-technology-and-innovation/ doi: 10.1016/j.eti.2020.101118Kaur, S., Kumbhar, G., Sharma, J. A MINLP technique for optimal placement of multiple DG units in distribution systems (2014) International Journal of Electrical Power and Energy Systems, 63, pp. 609-617. Cited 194 times. doi: 10.1016/j.ijepes.2014.06.023Montoya, O.D., Garces, A., Castro, C.A. Optimal conductor size selection in radial distribution networks using a mixed-integer non-linear programming formulation (2018) IEEE Latin America Transactions, 16 (8), art. no. 8528237, pp. 2213-2220. Cited 10 times. http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9907 doi: 10.1109/TLA.2018.8528237Montoya, 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 (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.2019.08.011Montoya, O.D., Gil-González, W., Rivas-Trujillo, E. Optimal location-reallocation of battery energy storage systems in dc microgrids (2020) Energies, 13 (9), art. no. 2289. Cited 15 times. https://www.mdpi.com/1996-1073/13/9/2289 doi: 10.3390/en13092289Montoya, O.D., Grisales-Noreña, L.F., Gil-González, W., Alcalá, G., Hernandez-Escobedo, Q. Optimal location and sizing of PV sources in DC networks for minimizing greenhouse emissions in diesel generators (Open Access) (2020) Symmetry, 12 (2), art. no. 322. Cited 29 times. https://res.mdpi.com/d_attachment/symmetry/symmetry-12-00322/article_deploy/symmetry-12-00322.pdf doi: 10.3390/sym12020322Naghiloo, A., Abbaspour, M., Mohammadi-Ivatloo, B., Bakhtari, K. GAMS based approach for optimal design and sizing of a pressure retarded osmosis power plant in Bahmanshir river of Iran (2015) Renewable and Sustainable Energy Reviews, 52, pp. 1559-1565. Cited 20 times. https://www.journals.elsevier.com/renewable-and-sustainable-energy-reviews doi: 10.1016/j.rser.2015.08.018Vahid Pakdel, M.J., Sohrabi, F., Mohammadi-Ivatloo, B. Multi-objective optimization of energy and water management in networked hubs considering transactive energy (2020) Journal of Cleaner Production, 266, art. no. 121936. Cited 55 times. https://www.journals.elsevier.com/journal-of-cleaner-production doi: 10.1016/j.jclepro.2020.121936Quintero-Duran, M.J., Candelo-Becerra, J.E., Cabana-Jimenez, K. Distribution network reconfiguration with large number of switches solved by a modified binary bat algorithm and improved seed population (Open Access) (2019) Tehnicki Vjesnik, 26 (5), pp. 1284-1291. Cited 8 times. https://hrcak.srce.hr/file/329352 doi: 10.17559/TV-20180525204445Sambaiah, K.S., Jayabarathi, T. Optimal reconfiguration and renewable distributed generation allocation in electric distribution systems (2021) International Journal of Ambient Energy, 42 (9), pp. 1018-1031. Cited 43 times. http://www.tandfonline.com/toc/taen20/current doi: 10.1080/01430750.2019.1583604Sánchez-Zuleta, C.C., Fernández-Gutiérrez, J.P., Piedrahita-Escobar, C.C. Identification of the characteristics incident to the detection of non-technical losses for two Colombian energy companies (2017) Revista Facultad de Ingenieria, 2017 (84), pp. 60-71. Cited 7 times. http://aprendeenlinea.udea.edu.co/revistas/index.php/ingenieria/article/download/326653/20785579 doi: 10.17533/udea.redin.n84a08Soroudi, A. Power system optimization modeling in GAMS (2017) Power System Optimization Modeling in GAMS, pp. 1-295. Cited 277 times. http://www.springer.com/in/book/9783319623498 ISBN: 978-331962350-4; 978-331962349-8 doi: 10.1007/978-3-319-62350-4Su, C.-T., Chang, C.-F., Chiou, J.-P. Distribution network reconfiguration for loss reduction by ant colony search algorithm (Open Access) (2005) Electric Power Systems Research, 75 (2-3), pp. 190-199. Cited 281 times. doi: 10.1016/j.epsr.2005.03.002Sultana, S., Roy, P.K. Oppositional krill herd algorithm for optimal location of distributed generator in radial distribution system (2015) International Journal of Electrical Power and Energy Systems, 73, pp. 182-191. Cited 41 times. doi: 10.1016/j.ijepes.2015.04.021Tandon, A., Saxena, D. Optimal reconfiguration of electrical distribution network using selective particle swarm optimization algorithm (Open Access) (2014) 2014 International Conference on Power, Control and Embedded Systems, ICPCES 2014, art. no. 7062806. Cited 7 times. ISBN: 978-147995912-9 doi: 10.1109/ICPCES.2014.7062806Tapia-Juarez, R., Espinosa-Juarez, E. Multi-objective reconfiguration of radial distribution networks considering voltage sags (Open Access) (2013) 2013 IEEE International Autumn Meeting on Power, Electronics and Computing, ROPEC 2013, art. no. 6702754. Cited 9 times. ISBN: 978-147992370-0 doi: 10.1109/ROPEC.2013.6702754Tartibu, L.K., Sun, B., Kaunda, M.A.E. Multi-objective optimization of the stack of a thermoacoustic engine using GAMS (Open Access) (2015) Applied Soft Computing Journal, 28, pp. 30-43. Cited 39 times. http://www.elsevier.com/wps/find/journaldescription.cws_home/621920/description#description doi: 10.1016/j.asoc.2014.11.055Tran The, T., Vo Ngoc, D., Tran Anh, N. Distribution Network Reconfiguration for Power Loss Reduction and Voltage Profile Improvement Using Chaotic Stochastic Fractal Search Algorithm (Open Access) (2020) Complexity, 2020, art. no. 2353901. Cited 27 times. https://www.hindawi.com/journals/complexity/ doi: 10.1155/2020/2353901Verma, H.K., Singh, P. Optimal Reconfiguration of Distribution Network Using Modified Culture Algorithm (2018) Journal of The Institution of Engineers (India): Series B, 99 (6), pp. 613-622. Cited 21 times. http://www.springer.com/engineering/signals/journal/40031 doi: 10.1007/s40031-018-0344-6Xiaozhi, G., Linchuan, L., Hailong, X. Network reconfiguration at the distribution system with distributed generators (Open Access) (2010) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 6329 LNCS (PART 2), pp. 400-409. doi: 10.1007/978-3-642-15597-0_44ZHANG, J., YUAN, X., YUAN, Y. A novel genetic algorithm based on all spanning trees of undirected graph for distribution network reconfiguration (Open Access) (2014) Journal of Modern Power Systems and Clean Energy, 2 (2), pp. 143-149. 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