A Generalized Model for the Optimal Operation of Microgrids in Grid-Connected and Islanded Droop-Based Mode

In this paper, a new and generalized model for the optimal operation of microgrids is presented. The proposed mathematical model considers both the grid-connected (GC) and islanded (IS) operational modes. First, a mixed integer non-linear programming (MINLP) formulation is introduced, modeling the m...

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Veröffentlicht in:IEEE transactions on smart grid 2019-09, Vol.10 (5), p.5032-5045
Hauptverfasser: Vergara, Pedro P., Rey, Juan M., Lopez, Juan C., Rider, Marcos J., da Silva, Luiz C.P., Shaker, Hamid R., Jorgensen, Bo N.
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container_end_page 5045
container_issue 5
container_start_page 5032
container_title IEEE transactions on smart grid
container_volume 10
creator Vergara, Pedro P.
Rey, Juan M.
Lopez, Juan C.
Rider, Marcos J.
da Silva, Luiz C.P.
Shaker, Hamid R.
Jorgensen, Bo N.
description In this paper, a new and generalized model for the optimal operation of microgrids is presented. The proposed mathematical model considers both the grid-connected (GC) and islanded (IS) operational modes. First, a mixed integer non-linear programming (MINLP) formulation is introduced, modeling the microgrid as an unbalanced ac three-phase electrical distribution system, comprising distributed generator (DG) units, battery systems and wind turbines. In GC mode, the frequency and the voltage magnitude references are imposed by the main grid at the point of common couple, while in IS mode, it is assumed that the DG units operate with droop control. Additionally, a set of convexification procedures are introduced in order to approximate the original MINLP model into a new convex formulation that can be solved using commercial solvers. The proposed model has been tested in a 25-bus microgrid for different scenarios, including one where a degradation of the voltage magnitude reference is observed. Results show that the proposed model is able to properly define the operational mode of the microgrid, based on the technical constraints of the system.
doi_str_mv 10.1109/TSG.2018.2873411
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The proposed mathematical model considers both the grid-connected (GC) and islanded (IS) operational modes. First, a mixed integer non-linear programming (MINLP) formulation is introduced, modeling the microgrid as an unbalanced ac three-phase electrical distribution system, comprising distributed generator (DG) units, battery systems and wind turbines. In GC mode, the frequency and the voltage magnitude references are imposed by the main grid at the point of common couple, while in IS mode, it is assumed that the DG units operate with droop control. Additionally, a set of convexification procedures are introduced in order to approximate the original MINLP model into a new convex formulation that can be solved using commercial solvers. The proposed model has been tested in a 25-bus microgrid for different scenarios, including one where a degradation of the voltage magnitude reference is observed. 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subjects Batteries
convex optimization
Distributed generation
droop control
Electric potential
Electric power distribution
Electric power grids
Energy storage
Frequency control
grid-connected operation
islanded operation
Linear programming
Mathematical model
Mathematical models
Microgrids
Mixed integer
Model testing
Nonlinear programming
optimal power flow
Planning
Reactive power
Solvers
Voltage
Voltage control
Wind turbines
title A Generalized Model for the Optimal Operation of Microgrids in Grid-Connected and Islanded Droop-Based Mode
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