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dc.creatorMontoya O.D.
dc.creatorGil-González W.
dc.creatorGrisales-Noreña L.F.
dc.identifier.citationInternational Journal of Electrical Power and Energy Systems; Vol. 115
dc.description.abstractThis report addresses the problem of optimal location and sizing of constant power sources (distributed generators (DGs)) in direct current (DC) networks for improving network performance in terms of voltage profiles and energy efficiency. An exact mixed-integer nonlinear programming (MINLP) method is proposed to represent this problem, considering the minimization of total power losses as the objective function. Furthermore, the power balance per node, voltage regulation limits, DG capabilities, and maximum penetration of the DG are considered as constraints. To solve the MINLP model, a convex relaxation is proposed using a Taylor series expansion, in conjunction with the transformation of the binary variables into continuous variables. The solution of the relaxed convex model is constructed using a sequential quadratic programming approach to minimize the linearization error using the Taylor series method. The solution of the relaxed convex model is used as the input for a heuristic random hyperplane method that facilitates the recovery of binary variables that solve the original MINLP model. Two DC distribution feeders, one having 21 and the other having 69 nodes, were used as test systems. Simulation results were obtained using the MATLAB/quadprog package and contrasted with the large-scale nonlinear solvers available for General algebraic modeling system (GAMS) software metaheuristic optimization approaches to demonstrate the robustness and effectiveness of our proposed methodology. © 2019 Elsevier Ltdeng
dc.description.sponsorshipUniversidad Tecnológica de Pereira, UTP: C2018P020 Departamento Administrativo de Ciencia, Tecnología e Innovación, COLCIENCIAS: 727-2015
dc.format.mediumRecurso electrónico
dc.publisherElsevier Ltd
dc.titleRelaxed convex model for optimal location and sizing of DGs in DC grids using sequential quadratic programming and random hyperplane approaches
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dc.subject.keywordsConvex optimization
dc.subject.keywordsDirect current networks
dc.subject.keywordsDistributed generation
dc.subject.keywordsRandom hyperplane method
dc.subject.keywordsRelaxed mathematical model
dc.subject.keywordsTaylor series expansion
dc.subject.keywordsConvex optimization
dc.subject.keywordsDistributed power generation
dc.subject.keywordsEnergy efficiency
dc.subject.keywordsInteger programming
dc.subject.keywordsQuadratic programming
dc.subject.keywordsRelaxation processes
dc.subject.keywordsTaylor series
dc.subject.keywordsVoltage regulators
dc.subject.keywordsDirect current
dc.subject.keywordsDistributed generator (DGs)
dc.subject.keywordsMeta-heuristic optimizations
dc.subject.keywordsMixed-integer nonlinear programming
dc.subject.keywordsRandom hyperplane method
dc.subject.keywordsSequential quadratic programming
dc.subject.keywordsTaylor series expansions
dc.subject.keywordsTaylor series methods
dc.subject.keywordsHeuristic methods
dc.rights.ccAtribución-NoComercial 4.0 Internacional
dc.identifier.instnameUniversidad Tecnológica de Bolívar
dc.identifier.reponameRepositorio UTB
dc.description.notesThis study was funded in part by the Administrative Department of Science, Technology, and Innovation of Colombia ( COLCIENCIAS ) through its National Scholarship Program, under Grant 727-2015 , and in part by Universidad Tecnológica de Bolívar , under Project C2018P020 .

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Universidad Tecnológica de Bolívar - 2017 Institución de Educación Superior sujeta a inspección y vigilancia por el Ministerio de Educación Nacional. Resolución No 961 del 26 de octubre de 1970 a través de la cual la Gobernación de Bolívar otorga la Personería Jurídica a la Universidad Tecnológica de Bolívar.