Security-constrained optimal energy management system for three-phase residential microgrids

Pedro P. Vergara, Juan Camilo López, Luiz C.P. da Silva, Marcos J. Rider*

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Resumé

This paper presents a mixed-integer linear programming (MILP) model for the optimal energy management of residential microgrids, modeled as unbalanced, three-phase, electrical distribution system (EDS). Initially, the problem is formulated as a mixed-integer nonlinear programming (MINLP) problem. Then, a set of linear approximations and equivalent mathematical representations are used to obtain a precise MILP model. The proposed formulation considers three-phase generation units (GU), single-phase photovoltaic (PV) resources, and single-phase energy storage systems (ESS), as well as load management. The aim of the proposed model is to minimize the final operational costs of the microgrid while considering operational constraints of the EDS and an unexpected outage of the main grid through a security-constrained set of equations. The optimal solution of the MILP model is found using commercial convex optimization solvers. The proposed model was tested in a residential, three-phase EDS. Results show that the proposed linearizations and approximations produce accurate solutions when compared with a nonlinear three-phase OPF formulation, with an error in the objective function near to 2% and a maximum error in the voltage near to 1%. Efficiency and flexibility of the proposed methodology are also discussed.

OriginalsprogEngelsk
TidsskriftElectric Power Systems Research
Vol/bind146
Sider (fra-til)371-382
ISSN0378-7796
DOI
StatusUdgivet - 1. maj 2017
Udgivet eksterntJa

Fingeraftryk

Energy management systems
Linear programming
Convex optimization
Energy management
Nonlinear programming
Linearization
Outages
Energy storage
Electric potential
Costs

Citer dette

Vergara, Pedro P. ; López, Juan Camilo ; da Silva, Luiz C.P. ; Rider, Marcos J. / Security-constrained optimal energy management system for three-phase residential microgrids. I: Electric Power Systems Research. 2017 ; Bind 146. s. 371-382.
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title = "Security-constrained optimal energy management system for three-phase residential microgrids",
abstract = "This paper presents a mixed-integer linear programming (MILP) model for the optimal energy management of residential microgrids, modeled as unbalanced, three-phase, electrical distribution system (EDS). Initially, the problem is formulated as a mixed-integer nonlinear programming (MINLP) problem. Then, a set of linear approximations and equivalent mathematical representations are used to obtain a precise MILP model. The proposed formulation considers three-phase generation units (GU), single-phase photovoltaic (PV) resources, and single-phase energy storage systems (ESS), as well as load management. The aim of the proposed model is to minimize the final operational costs of the microgrid while considering operational constraints of the EDS and an unexpected outage of the main grid through a security-constrained set of equations. The optimal solution of the MILP model is found using commercial convex optimization solvers. The proposed model was tested in a residential, three-phase EDS. Results show that the proposed linearizations and approximations produce accurate solutions when compared with a nonlinear three-phase OPF formulation, with an error in the objective function near to 2{\%} and a maximum error in the voltage near to 1{\%}. Efficiency and flexibility of the proposed methodology are also discussed.",
keywords = "Energy management system, Microgrid, Mixed integer linear programming, Security constraints, Unbalanced three-phase electrical distribution systems",
author = "Vergara, {Pedro P.} and L{\'o}pez, {Juan Camilo} and {da Silva}, {Luiz C.P.} and Rider, {Marcos J.}",
year = "2017",
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Security-constrained optimal energy management system for three-phase residential microgrids. / Vergara, Pedro P.; López, Juan Camilo; da Silva, Luiz C.P.; Rider, Marcos J.

I: Electric Power Systems Research, Bind 146, 01.05.2017, s. 371-382.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Security-constrained optimal energy management system for three-phase residential microgrids

AU - Vergara, Pedro P.

AU - López, Juan Camilo

AU - da Silva, Luiz C.P.

AU - Rider, Marcos J.

PY - 2017/5/1

Y1 - 2017/5/1

N2 - This paper presents a mixed-integer linear programming (MILP) model for the optimal energy management of residential microgrids, modeled as unbalanced, three-phase, electrical distribution system (EDS). Initially, the problem is formulated as a mixed-integer nonlinear programming (MINLP) problem. Then, a set of linear approximations and equivalent mathematical representations are used to obtain a precise MILP model. The proposed formulation considers three-phase generation units (GU), single-phase photovoltaic (PV) resources, and single-phase energy storage systems (ESS), as well as load management. The aim of the proposed model is to minimize the final operational costs of the microgrid while considering operational constraints of the EDS and an unexpected outage of the main grid through a security-constrained set of equations. The optimal solution of the MILP model is found using commercial convex optimization solvers. The proposed model was tested in a residential, three-phase EDS. Results show that the proposed linearizations and approximations produce accurate solutions when compared with a nonlinear three-phase OPF formulation, with an error in the objective function near to 2% and a maximum error in the voltage near to 1%. Efficiency and flexibility of the proposed methodology are also discussed.

AB - This paper presents a mixed-integer linear programming (MILP) model for the optimal energy management of residential microgrids, modeled as unbalanced, three-phase, electrical distribution system (EDS). Initially, the problem is formulated as a mixed-integer nonlinear programming (MINLP) problem. Then, a set of linear approximations and equivalent mathematical representations are used to obtain a precise MILP model. The proposed formulation considers three-phase generation units (GU), single-phase photovoltaic (PV) resources, and single-phase energy storage systems (ESS), as well as load management. The aim of the proposed model is to minimize the final operational costs of the microgrid while considering operational constraints of the EDS and an unexpected outage of the main grid through a security-constrained set of equations. The optimal solution of the MILP model is found using commercial convex optimization solvers. The proposed model was tested in a residential, three-phase EDS. Results show that the proposed linearizations and approximations produce accurate solutions when compared with a nonlinear three-phase OPF formulation, with an error in the objective function near to 2% and a maximum error in the voltage near to 1%. Efficiency and flexibility of the proposed methodology are also discussed.

KW - Energy management system

KW - Microgrid

KW - Mixed integer linear programming

KW - Security constraints

KW - Unbalanced three-phase electrical distribution systems

U2 - 10.1016/j.epsr.2017.02.012

DO - 10.1016/j.epsr.2017.02.012

M3 - Journal article

VL - 146

SP - 371

EP - 382

JO - Electric Power Systems Research

JF - Electric Power Systems Research

SN - 0378-7796

ER -