Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks
This paper presents a new optimal power flow (OPF) formulation for monopolar DC networks using a recursive convex representation. The hyperbolic relation between the voltages and power at each constant power terminal (generator or demand) is represented as a linear constraint for the demand nodes an...
- Autores:
-
Montoya, Oscar Danilo
Zishan, Farhad
Giral-Ramírez, Diego Armando
- 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:20.500.12585/12218
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/12218
- Palabra clave:
- Convex optimization
Monopolar DC networks
Optimal power flow solution
Power losses minimization
Recursive convex formulation
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks |
| title |
Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks |
| spellingShingle |
Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks Convex optimization Monopolar DC networks Optimal power flow solution Power losses minimization Recursive convex formulation |
| title_short |
Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks |
| title_full |
Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks |
| title_fullStr |
Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks |
| title_full_unstemmed |
Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks |
| title_sort |
Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks |
| dc.creator.fl_str_mv |
Montoya, Oscar Danilo Zishan, Farhad Giral-Ramírez, Diego Armando |
| dc.contributor.author.none.fl_str_mv |
Montoya, Oscar Danilo Zishan, Farhad Giral-Ramírez, Diego Armando |
| dc.subject.keywords.spa.fl_str_mv |
Convex optimization Monopolar DC networks Optimal power flow solution Power losses minimization Recursive convex formulation |
| topic |
Convex optimization Monopolar DC networks Optimal power flow solution Power losses minimization Recursive convex formulation |
| description |
This paper presents a new optimal power flow (OPF) formulation for monopolar DC networks using a recursive convex representation. The hyperbolic relation between the voltages and power at each constant power terminal (generator or demand) is represented as a linear constraint for the demand nodes and generators. To reach the solution for the OPF problem a recursive evaluation of the model that determines the voltage variables at the iteration (Formula presented.) ((Formula presented.)) by using the information of the voltages at the iteration t ((Formula presented.)) is proposed. To finish the recursive solution process of the OPF problem via the convex relaxation, the difference between the voltage magnitudes in two consecutive iterations less than the predefined tolerance is considered as a stopping criterion. The numerical results in the 85-bus grid demonstrate that the proposed recursive convex model can solve the classical power flow problem in monopolar DC networks, and it also solves the OPF problem efficiently with a reduced convergence error when compared with semidefinite programming and combinatorial optimization methods. In addition, the proposed approach can deal with radial and meshed monopolar DC networks without modifications in its formulation. All the numerical implementations were in the MATLAB programming environment and the convex models were solved with the CVX and the Gurobi solver. © 2022 by the authors |
| publishDate |
2022 |
| dc.date.issued.none.fl_str_mv |
2022-10-05 |
| dc.date.accessioned.none.fl_str_mv |
2023-07-19T21:22:53Z |
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2023-07-19T21:22:53Z |
| dc.date.submitted.none.fl_str_mv |
2023-07 |
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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/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.; Zishan, F.; Giral-Ramírez, D.A. Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks. Mathematics 2022, 10, 3649. https://doi.org/10.3390/math10193649 |
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https://hdl.handle.net/20.500.12585/12218 |
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10.3390/math10193649 |
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Universidad Tecnológica de Bolívar |
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Repositorio Universidad Tecnológica de Bolívar |
| identifier_str_mv |
Montoya, O.D.; Zishan, F.; Giral-Ramírez, D.A. Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks. Mathematics 2022, 10, 3649. https://doi.org/10.3390/math10193649 10.3390/math10193649 Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
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https://hdl.handle.net/20.500.12585/12218 |
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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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14 páginas |
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Pdf |
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application/pdf |
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Cartagena de Indias |
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Mathematics - Vol. 10 No. 9 (2022) |
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Universidad Tecnológica de Bolívar |
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Montoya, Oscar Danilo9fa8a75a-58fa-436d-a6e2-d80f718a4ea8Zishan, Farhad041e882b-354f-48b5-87bc-d4748b261f08Giral-Ramírez, Diego Armandoa9612d05-bc90-49f9-94c7-20a0766e00f52023-07-19T21:22:53Z2023-07-19T21:22:53Z2022-10-052023-07Montoya, O.D.; Zishan, F.; Giral-Ramírez, D.A. Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networks. Mathematics 2022, 10, 3649. https://doi.org/10.3390/math10193649https://hdl.handle.net/20.500.12585/1221810.3390/math10193649Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThis paper presents a new optimal power flow (OPF) formulation for monopolar DC networks using a recursive convex representation. The hyperbolic relation between the voltages and power at each constant power terminal (generator or demand) is represented as a linear constraint for the demand nodes and generators. To reach the solution for the OPF problem a recursive evaluation of the model that determines the voltage variables at the iteration (Formula presented.) ((Formula presented.)) by using the information of the voltages at the iteration t ((Formula presented.)) is proposed. To finish the recursive solution process of the OPF problem via the convex relaxation, the difference between the voltage magnitudes in two consecutive iterations less than the predefined tolerance is considered as a stopping criterion. The numerical results in the 85-bus grid demonstrate that the proposed recursive convex model can solve the classical power flow problem in monopolar DC networks, and it also solves the OPF problem efficiently with a reduced convergence error when compared with semidefinite programming and combinatorial optimization methods. In addition, the proposed approach can deal with radial and meshed monopolar DC networks without modifications in its formulation. All the numerical implementations were in the MATLAB programming environment and the convex models were solved with the CVX and the Gurobi solver. © 2022 by the authors14 páginasPdfapplication/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_abf2Mathematics - Vol. 10 No. 9 (2022)Recursive Convex Model for Optimal Power Flow Solution in Monopolar DC Networksinfo: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_2df8fbb1Convex optimizationMonopolar DC networksOptimal power flow solutionPower losses minimizationRecursive convex formulationCartagena de IndiasSimiyu, P., Xin, A., Wang, K., Adwek, G., Salman, S. 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A Linear Three-Phase Load Flow for Power Distribution Systems (2016) IEEE Transactions on Power Systems, 31 (1), art. no. 7027253, pp. 827-828. Cited 213 times. doi: 10.1109/TPWRS.2015.2394296Medina-Quesada, Á., Montoya, O.D., Hernández, J.C. Derivative-Free Power Flow Solution for Bipolar DC Networks with Multiple Constant Power Terminals (Open Access) (2022) Sensors, 22 (8), art. no. 2914. Cited 10 times. https://www.mdpi.com/1424-8220/22/8/2914/pdf doi: 10.3390/s22082914Montoya, O.D., Gil-González, W., Garces, A. Numerical methods for power flow analysis in DC networks: State of the art, methods and challenges (Open Access) (2020) International Journal of Electrical Power and Energy Systems, 123, art. no. 106299. Cited 29 times. https://www.journals.elsevier.com/international-journal-of-electrical-power-and-energy-systems doi: 10.1016/j.ijepes.2020.106299Attia, A.-F., El Sehiemy, R.A., Hasanien, H.M. 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