LAPSE:2023.26071v1
Published Article

LAPSE:2023.26071v1
A Mixed-Integer Nonlinear Programming Model for Optimal Reconfiguration of DC Distribution Feeders
March 31, 2023
Abstract
This paper deals with the optimal reconfiguration problem of DC distribution networks by proposing a new mixed-integer nonlinear programming (MINLP) formulation. This MINLP model focuses on minimising the power losses in the distribution lines by reformulating the classical power balance equations through a branch-to-node incidence matrix. The general algebraic modelling system (GAMS) is chosen as a solution tool, showing in tutorial form the implementation of the proposed MINLP model in a 6-nodes test feeder with 10 candidate lines. The validation of the MINLP formulation is performed in two classical 10-nodes DC test feeders. These are typically used for power flow and optimal power flow analyses. Numerical results demonstrate that power losses are reduced by about 16% when the optimal reconfiguration plan is found. The numerical validations are made in the GAMS software licensed by Universidad Tecnológica de Bolívar.
This paper deals with the optimal reconfiguration problem of DC distribution networks by proposing a new mixed-integer nonlinear programming (MINLP) formulation. This MINLP model focuses on minimising the power losses in the distribution lines by reformulating the classical power balance equations through a branch-to-node incidence matrix. The general algebraic modelling system (GAMS) is chosen as a solution tool, showing in tutorial form the implementation of the proposed MINLP model in a 6-nodes test feeder with 10 candidate lines. The validation of the MINLP formulation is performed in two classical 10-nodes DC test feeders. These are typically used for power flow and optimal power flow analyses. Numerical results demonstrate that power losses are reduced by about 16% when the optimal reconfiguration plan is found. The numerical validations are made in the GAMS software licensed by Universidad Tecnológica de Bolívar.
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Keywords
branch-to-node incidence matrix, direct current networks, general algebraic modelling system, mixed-integer nonlinear programming model, optimal reconfiguration of distribution grids
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Suggested Citation
Montoya OD, Gil-González W, Hernández JC, Giral-Ramírez DA, Medina-Quesada A. A Mixed-Integer Nonlinear Programming Model for Optimal Reconfiguration of DC Distribution Feeders. (2023). LAPSE:2023.26071v1
Author Affiliations
Montoya OD: Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá D.C. 11021, Colombia; Laboratorio Inteligente de Energía, Universidad Tecnológica de Bolívar, Cartagena 131001, Colombia [ORCID]
Gil-González W: Grupo GIIEN, Facultad de Ingeniería, Institución Universitaria Pascual Bravo, Campus Robledo, Medellín 050036, Colombia [ORCID]
Hernández JC: Department of Electrical Engineering, University of Jaén, Campus Lagunillas s/n, Edificio A3, 23071 Jaén, Spain [ORCID]
Giral-Ramírez DA: Facultad Tecnológica, Universidad Distrital Francisco José de Caldas, Bogotá D.C. 11021, Colombia [ORCID]
Medina-Quesada A: Department of Electrical Engineering, University of Jaén, Campus Lagunillas s/n, Edificio A3, 23071 Jaén, Spain [ORCID]
Gil-González W: Grupo GIIEN, Facultad de Ingeniería, Institución Universitaria Pascual Bravo, Campus Robledo, Medellín 050036, Colombia [ORCID]
Hernández JC: Department of Electrical Engineering, University of Jaén, Campus Lagunillas s/n, Edificio A3, 23071 Jaén, Spain [ORCID]
Giral-Ramírez DA: Facultad Tecnológica, Universidad Distrital Francisco José de Caldas, Bogotá D.C. 11021, Colombia [ORCID]
Medina-Quesada A: Department of Electrical Engineering, University of Jaén, Campus Lagunillas s/n, Edificio A3, 23071 Jaén, Spain [ORCID]
Journal Name
Energies
Volume
13
Issue
17
Article Number
E4440
Year
2020
Publication Date
2020-08-27
ISSN
1996-1073
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PII: en13174440, Publication Type: Journal Article
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LAPSE:2023.26071v1
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https://doi.org/10.3390/en13174440
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Mar 31, 2023
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