On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach
This paper addresses the problem of optimal conductor selection in direct current (DC) distribution networks with radial topology. A nonlinear mixed-integer programming model (MINLP) is developed through a branch-to-node incidence matrix. An important contribution is that the proposed MINLP model in...
- Autores:
-
Montoya, Oscar Danilo
Gil-González, Walter
Grisales-Noreña L.F.
- 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:20.500.12585/10411
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/10411
https://doi.org/10.1016/j.epsr.2021.107072
- Palabra clave:
- Direct current networks
Medium-voltage distribution networks
Radial structure
Mathematical modeling
Mixed-integer nonlinear programming
Telescopic configuration
Optimal conductor selection
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach |
| title |
On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach |
| spellingShingle |
On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach Direct current networks Medium-voltage distribution networks Radial structure Mathematical modeling Mixed-integer nonlinear programming Telescopic configuration Optimal conductor selection LEMB |
| title_short |
On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach |
| title_full |
On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach |
| title_fullStr |
On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach |
| title_full_unstemmed |
On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach |
| title_sort |
On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach |
| dc.creator.fl_str_mv |
Montoya, Oscar Danilo Gil-González, Walter Grisales-Noreña L.F. |
| dc.contributor.author.none.fl_str_mv |
Montoya, Oscar Danilo Gil-González, Walter Grisales-Noreña L.F. |
| dc.subject.keywords.spa.fl_str_mv |
Direct current networks Medium-voltage distribution networks Radial structure Mathematical modeling Mixed-integer nonlinear programming Telescopic configuration Optimal conductor selection |
| topic |
Direct current networks Medium-voltage distribution networks Radial structure Mathematical modeling Mixed-integer nonlinear programming Telescopic configuration Optimal conductor selection LEMB |
| dc.subject.armarc.none.fl_str_mv |
LEMB |
| description |
This paper addresses the problem of optimal conductor selection in direct current (DC) distribution networks with radial topology. A nonlinear mixed-integer programming model (MINLP) is developed through a branch-to-node incidence matrix. An important contribution is that the proposed MINLP model integrates a set of constraints related to the telescopic structure of the network, which allows reducing installation costs. The proposed model also includes a time-domain dependency that helps analyze the DC network under different load conditions, including renewable generation and battery energy storage systems, and different voltage regulation operative consigns. The objective function of the proposed model is made up of the total investment in conductors and the total cost of energy losses in one year of operation. These components of the objective function show multi-objective behavior. For this reason, different simulation scenarios are performed to identify their effects on the final grid configuration. An illustrative 10-nodes medium-voltage DC grid with 9 lines is used to carry out all the simulations through the General Algebraic Modeling System known as GAMS. |
| publishDate |
2021 |
| dc.date.issued.none.fl_str_mv |
2021-01-29 |
| dc.date.accessioned.none.fl_str_mv |
2022-01-27T14:02:03Z |
| dc.date.available.none.fl_str_mv |
2022-01-27T14:02:03Z |
| dc.date.submitted.none.fl_str_mv |
2022-01-25 |
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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 |
Oscar Danilo Montoya, Walter Gil-González, Luis F. Grisales-Noreña, On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach, Electric Power Systems Research, Volume 194, 2021, 107072, ISSN 0378-7796, https://doi.org/10.1016/j.epsr.2021.107072. |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/20.500.12585/10411 |
| dc.identifier.doi.none.fl_str_mv |
https://doi.org/10.1016/j.epsr.2021.107072 |
| 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 |
Oscar Danilo Montoya, Walter Gil-González, Luis F. Grisales-Noreña, On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach, Electric Power Systems Research, Volume 194, 2021, 107072, ISSN 0378-7796, https://doi.org/10.1016/j.epsr.2021.107072. Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
| url |
https://hdl.handle.net/20.500.12585/10411 https://doi.org/10.1016/j.epsr.2021.107072 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
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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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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12 Páginas |
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application/pdf |
| dc.publisher.place.spa.fl_str_mv |
Cartagena de Indias |
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Electric Power Systems Research - 194 (2021) |
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Universidad Tecnológica de Bolívar |
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Montoya, Oscar Danilo8a59ede1-6a4a-4d2e-abdc-d0afb14d4480Gil-González, Walterfae25221-fcde-4c7d-bf52-14a677a53c76Grisales-Noreña L.F.d84608a5-b1a2-449e-ad6e-786fc1ea0ba22022-01-27T14:02:03Z2022-01-27T14:02:03Z2021-01-292022-01-25Oscar Danilo Montoya, Walter Gil-González, Luis F. Grisales-Noreña, On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approach, Electric Power Systems Research, Volume 194, 2021, 107072, ISSN 0378-7796, https://doi.org/10.1016/j.epsr.2021.107072.https://hdl.handle.net/20.500.12585/10411https://doi.org/10.1016/j.epsr.2021.107072Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThis paper addresses the problem of optimal conductor selection in direct current (DC) distribution networks with radial topology. A nonlinear mixed-integer programming model (MINLP) is developed through a branch-to-node incidence matrix. An important contribution is that the proposed MINLP model integrates a set of constraints related to the telescopic structure of the network, which allows reducing installation costs. The proposed model also includes a time-domain dependency that helps analyze the DC network under different load conditions, including renewable generation and battery energy storage systems, and different voltage regulation operative consigns. The objective function of the proposed model is made up of the total investment in conductors and the total cost of energy losses in one year of operation. These components of the objective function show multi-objective behavior. For this reason, different simulation scenarios are performed to identify their effects on the final grid configuration. An illustrative 10-nodes medium-voltage DC grid with 9 lines is used to carry out all the simulations through the General Algebraic Modeling System known as GAMS.12 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_abf2Electric Power Systems Research - 194 (2021)On the mathematical modeling for optimal selecting of calibers of conductors in DC radial distribution networks: An MINLP approachinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/resource_type/c_2df8fbb1Direct current networksMedium-voltage distribution networksRadial structureMathematical modelingMixed-integer nonlinear programmingTelescopic configurationOptimal conductor selectionLEMBCartagena de IndiasA.Y. Abdelaziz, A. Fathy A novel approach based on crow search algorithm for optimal selection of conductor size in radial distribution networks Engineering Science and Technology, an International Journal, 20 (2) (2017), pp. 391-402M. Lavorato, J.F. Franco, M.J. Rider, R. Romero Imposing radiality constraints in distribution system optimization problems IEEE Trans. Power Syst., 27 (1) (2012), pp. 172-180O.D. Montoya, A. Garces, C.A. Castro Optimal conductor size selection in radial distribution networks using a mixed-Integer non-Linear programming formulation IEEE Lat. Am. Trans., 16 (8) (2018), pp. 2213-2220J.S. Acosta, M.C. Tavares Optimal selection and positioning of conductors in multi-circuit overhead transmission lines using evolutionary computing Electr. Power Syst. Res., 180 (2020), p. 106174Z. Zhao, J. Mutale Optimal conductor size selection in distribution networks with high penetration of distributed generation using adaptive genetic algorithm Energies, 12 (11) (2019), p. 2065, 10.3390/en12112065W. Gil-González, O.D. Montoya, L.F. Grisales-Noreña, F. Cruz-Peragón, G. Alcalá Economic dispatch of renewable generators and BESS in DC microgrids using second-Order cone optimization Energies, 13 (7) (2020), p. 1703H. Lotfi, A. Khodaei AC versus DC microgrid planning IEEE Trans Smart Grid, 8 (1) (2015), pp. 296-304O.D. Montoya, W. Gil-González, J.C. Hernández, D.A. Giral-Ramírez, A. Medina-Quesada A mixed-Integer nonlinear programming model for optimal reconfiguration of DC distribution feeders Energies, 13 (17) (2020), p. 4440, 10.3390/en13174440M. Nasir, S. Iqbal, H.A. Khan Optimal planning and design of low-voltage low-power solar dc microgrids IEEE Trans. Power Syst., 33 (3) (2017), pp. 2919-2928Z. Wang, H. Liu, D.C. Yu, X. Wang, H. Song A practical approach to the conductor size selection in planning radial distribution systems IEEE Trans. Power Delivery, 15 (1) (2000), pp. 350-354M. Thenepalle A comparative study on optimal conductor selection for radial distribution network using conventional and genetic algorithm approach Int J Comput Appl, 17 (2) (2011), pp. 6-13R.S. Rao, K. Satish, S. Narasimham Optimal conductor size selection in distribution systems using the harmony search algorithm with a differential operator Electric Power Components and Systems, 40 (1) (2011), pp. 41-56T.M. Khalil, A.V. Gorpinich Optimal conductor selection and capacitor placement for loss reduction of radial distribution systems by selective particle swarm optimization 2012 Seventh International Conference on Computer Engineering & Systems (ICCES), IEEE (2012), pp. 215-220B.M. Kalesar Conductor selection optimization in radial distribution system considering load growth using MDE algorithm World Journal of Modeling and Simulation, 10 (3) (2014), pp. 175-184J.F. Franco, M.J. Rider, M. Lavorato, R. Romero Optimal conductor size selection and reconductoring in radial distribution systems using a mixed-integer LP approach IEEE Trans. Power Syst., 28 (1) (2013), pp. 10-20C. Phurailatpam, B.S. Rajpurohit, L. Wang Planning and optimization of autonomous DC microgrids for rural and urban applications in india Renewable Sustainable Energy Rev., 82 (2018), pp. 194-204M.F. Zia, E. Elbouchikhi, M. Benbouzid Optimal operational planning of scalable DC microgrid with demand response, islanding, and battery degradation cost considerations Appl Energy, 237 (2019), pp. 695-707O.D. Montoya, W. Gil-González, L. Grisales-Noreña An exact MINLP model for optimal location and sizing of DGs in distribution networks: a general algebraic modeling system approach Ain Shams Eng. J. (2019), 10.1016/j.asej.2019.08.011O.D. Montoya, L.F. Grisales-Noreña, W. Gil-González, G. Alcalá, Q. Hernandez-Escobedo Optimal location and sizing of PV sources in DC networks for minimizing greenhouse emissions in diesel generators Symmetry (Basel), 12 (2) (2020), p. 322, 10.3390/sym12020322A. Soroudi Power system optimization modeling in GAMS Springer International Publishing (2017), 10.1007/978-3-319-62350-4H. Li, L. Zhang, X. Shen A loop-analysis theory based power flow method and its linear formulation for low-voltage DC grid Electr. Power Syst. Res., 187 (2020), p. 106473, 10.1016/j.epsr.2020.106473P. Skworcow, D. Paluszczyszyn, B. Ulanicki, R. Rudek, T. Belrain Optimisation of Pump and Valve Schedules in Complex Large-scale Water Distribution Systems Using GAMS Modelling Language Procedia Eng., 70 (2014), pp. 1566-1574, 10.1016/j.proeng.2014.02.173O.D. Montoya, W. Gil-González, L. Grisales-Noreña, C. Orozco-Henao, F. Serra Economic dispatch of BESS and renewable generators in DC microgrids using voltage-Dependent load models Energies, 12 (23) (2019), p. 4494, 10.3390/en12234494L. Tartibu, B. Sun, M. Kaunda Multi-objective optimization of the stack of a thermoacoustic engine using GAMS Appl. Soft Comput., 28 (2015), pp. 30-43, 10.1016/j.asoc.2014.11.055A. Naghiloo, M. Abbaspour, B. Mohammadi-Ivatloo, K. Bakhtari GAMS Based approach for optimal design and sizing of a pressure retarded osmosis power plant in bahmanshir river of iran Renewable Sustainable Energy Rev., 52 (2015), pp. 1559-1565, 10.1016/j.rser.2015.08.018W. Gil-González, O.D. Montoya, L.F. Grisales-Noreña, A.-J. Perea-Moreno, Q. Hernandez-Escobedo Optimal placement and sizing of wind generators in AC grids considering reactive power capability and wind speed curves Sustainability, 12 (7) (2020), p. 2983, 10.3390/su12072983S. Tao, L. Xiuzhi, W. Yanyan, C. Yanli, C. Dayin A matlab simulation of the kruskal algorithm for erecting communication network 2011 International Conference on Electronics, Communications and Control (ICECC) (2011), pp. 41-43M.T.M. Emmerich, A.H. Deutz A tutorial on multiobjective optimization: fundamentals and evolutionary methods Nat Comput, 17 (3) (2018), pp. 585-609, 10.1007/s11047-018-9685-yR.T. Marler, J.S. Arora The weighted sum method for multi-objective optimization: new insights Struct. Multidiscip. 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