A Mixed-Integer Nonlinear Programming Model for Optimal Reconfiguration of DC Distribution Feeders

O. D. Montoya, W. Gil-González, J. C. Hernández, D. A. Giral-Ramírez and A. Medina-Quesada
Additional contact information
O. D. Montoya: Facultad de Ingeniería, Universidad Distrital Francisco José de Caldas, Bogotá D.C. 11021, Colombia
W. Gil-González: Grupo GIIEN, Facultad de Ingeniería, Institución Universitaria Pascual Bravo, Campus Robledo, Medellín 050036, Colombia
J. C. Hernández: Department of Electrical Engineering, University of Jaén, Campus Lagunillas s/n, Edificio A3, 23071 Jaén, Spain
D. A. Giral-Ramírez: Facultad Tecnológica, Universidad Distrital Francisco José de Caldas, Bogotá D.C. 11021, Colombia
A. Medina-Quesada: Department of Electrical Engineering, University of Jaén, Campus Lagunillas s/n, Edificio A3, 23071 Jaén, Spain

Energies, 2020, vol. 13, issue 17, 1-22

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.

Keywords: branch-to-node incidence matrix; direct current networks; mixed-integer nonlinear programming model; general algebraic modelling system; optimal reconfiguration of distribution grids (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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