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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Published in:IEEE transactions on smart grid Vol. 6; no. 5; pp. 2200 - 2210
Main Authors: Franco, John F., Rider, Marcos J., Romero, Ruben
Format: Journal Article
Language:English
Published: Piscataway IEEE 01.09.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
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
Online Access:Get full text
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Abstract 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.
AbstractList 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.
Author Romero, Ruben
Franco, John F.
Rider, Marcos J.
Author_xml – sequence: 1
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  surname: Franco
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  givenname: Marcos J.
  surname: Rider
  fullname: Rider, Marcos J.
  organization: Dept. of Electr. Eng., Sao Paulo State Univ. (FEIS-UNESP), Ilha Solteira, Brazil
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  givenname: Ruben
  surname: Romero
  fullname: Romero, Ruben
  organization: Dept. of Electr. Eng., Sao Paulo State Univ. (FEIS-UNESP), Ilha Solteira, Brazil
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Keywords Electric vehicles charging coordination (EVCC)
unbalanced electrical distribution systems (EDSs)
mixed integer linear programming (MILP)
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SubjectTerms 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)
Title A Mixed-Integer Linear Programming Model for the Electric Vehicle Charging Coordination Problem in Unbalanced Electrical Distribution Systems
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