A Mixed-Integer Linear Programming Model for the Electric Vehicle Charging Coordination Problem in Unbalanced Electrical Distribution Systems

This paper presents a novel mixed-integer linear programming (MILP) model for the electric vehicle charging coordination (EVCC) problem in unbalanced electrical distribution systems (EDSs). Linearization techniques are applied over a mixed-integer nonlinear programming model to obtain the proposed M...

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Vydáno v:IEEE transactions on smart grid Ročník 6; číslo 5; s. 2200 - 2210
Hlavní autoři: Franco, John F., Rider, Marcos J., Romero, Ruben
Médium: Journal Article
Jazyk:angličtina
Vydáno: Piscataway IEEE 01.09.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Batteries
Electric vehicles charging coordination (EVCC)
Equations
Integer programming
Integrated circuit modeling
Linear programming
Load modeling
Manganese
Mathematical model
Mathematical models
mixed integer linear programming (MILP)
Optimization
Reactive power
unbalanced electrical distribution systems (EDSs)
Electric vehicles charging coordination (EVCC)
unbalanced electrical distribution systems (EDSs)
mixed integer linear programming (MILP)
ISSN:1949-3053, 1949-3061
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Shrnutí:This paper presents a novel mixed-integer linear programming (MILP) model for the electric vehicle charging coordination (EVCC) problem in unbalanced electrical distribution systems (EDSs). Linearization techniques are applied over a mixed-integer nonlinear programming model to obtain the proposed MILP formulation based on current injections. The expressions used to represent the steady-state operation of the EDS take into account a three-phase representation of the circuits, as well as the imbalance of the loads, leading to a more realistic model. Additionally, the proposed formulation considers the presence of distributed generators and operational constraints such as voltage and current magnitude limits. The optimal solution for the mathematical model was found using commercial MILP solvers. The proposed formulation was tested in a distribution system used in the specialized literature. The results show the efficiency and the robustness of the methodology, and also demonstrate that the model can be used in the solution of the EVCC problem in EDSs.
Bibliografie:ObjectType-Article-1
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ISSN:1949-3053
1949-3061
DOI:10.1109/TSG.2015.2394489