Optimal operation of unbalanced three-phase islanded droop-based microgrids

Pedro P. Vergara; Juan C. Lopez; Marcos J. Rider; Luiz C.P. Da Silva

doi:10.1109/TSG.2017.2756021

Optimal operation of unbalanced three-phase islanded droop-based microgrids

Pedro P. Vergara, Juan C. Lopez, Marcos J. Rider (Corresponding author), Luiz C.P. Da Silva

Research output: Contribution to journal › Article › Academic › peer-review

68 Citations (Scopus)

Abstract

This paper presents a new mixed-integer nonlinear programming (MINLP) model for the optimal operation of unbalanced three-phase droop-based microgrids. The proposed MINLP model can be seen as an extension of an optimal power flow for microgrids operating in islanded mode, that aims to minimize the total amount of unsupplied demand and the total distributed generator (DG) generation cost. Since the slack bus concept is not longer valid, the proposed model considers the frequency and voltage magnitude reference as variables. In this case, DGs units operate with droop control to balance the system and provide a frequency and voltage magnitude reference. Additionally, a set of efficient linearizations are introduced in order to approximate the original MINLP problem into a mixed-integer linear programming (MILP) model that can be solved using commercial solvers. The proposed model has been tested in a 25-bus unbalanced three-phase microgrid and a large 124-node grid, considering different operational and time-coupling constraints for the DGs and the battery systems (BSs). Load curtailment and different modes of operation for the wind turbines have also been tested. Finally, an error assessment between the original MINLP and the approximated MILP model has been conducted.

Original language	English
Article number	8048577
Pages (from-to)	928-940
Number of pages	13
Journal	IEEE Transactions on Smart Grid
Volume	10
Issue number	1
DOIs	https://doi.org/10.1109/TSG.2017.2756021
Publication status	Published - 1 Jan 2019
Externally published	Yes

Funding

Manuscript received May 11, 2017; revised August 9, 2017; accepted September 19, 2017. Date of publication September 22, 2017; date of current version December 19, 2018. This work was supported in part by CNPq, and in part by FAPESP under Grant 2015/09136-8 and Grant 2015/12564-1. Paper no. TSG-00649-2017. (Corresponding author: Marcos J. Rider.) The authors are with the Department of Systems and Energy, University of Campinas, Campinas 13083-852, Brazil (e-mail: [email protected]; [email protected]; [email protected]; [email protected]).

Keywords

Droop control
islanded microgrid
mixed-integer linear programming
three-phase optimal power flow

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10.1109/TSG.2017.2756021

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abstract = "This paper presents a new mixed-integer nonlinear programming (MINLP) model for the optimal operation of unbalanced three-phase droop-based microgrids. The proposed MINLP model can be seen as an extension of an optimal power flow for microgrids operating in islanded mode, that aims to minimize the total amount of unsupplied demand and the total distributed generator (DG) generation cost. Since the slack bus concept is not longer valid, the proposed model considers the frequency and voltage magnitude reference as variables. In this case, DGs units operate with droop control to balance the system and provide a frequency and voltage magnitude reference. Additionally, a set of efficient linearizations are introduced in order to approximate the original MINLP problem into a mixed-integer linear programming (MILP) model that can be solved using commercial solvers. The proposed model has been tested in a 25-bus unbalanced three-phase microgrid and a large 124-node grid, considering different operational and time-coupling constraints for the DGs and the battery systems (BSs). Load curtailment and different modes of operation for the wind turbines have also been tested. Finally, an error assessment between the original MINLP and the approximated MILP model has been conducted.",

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Optimal operation of unbalanced three-phase islanded droop-based microgrids

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