Optimal Operation of Solar Battery Chargers via Mixed-Integer Linear Programming

This letter considers an islanded system consisting of a photovoltaic source connected to a battery storage through power converters, subject to a time varying load. An innovative charging architecture composed of two DC-DC converters and a super-capacitor is considered, and a novel modeling and opt...

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Published inIEEE control systems letters Vol. 9; pp. 384 - 389
Main Authors Bianchini, Gianni, Casini, Marco, Laudani, Antonino, Maria Lozito, Gabriele
Format Journal Article
LanguageEnglish
Published IEEE 2025
Subjects
Batteries
DC-DC power converters
electrical storage systems
Integrated circuit modeling
Load modeling
Mathematical models
Numerical models
Numerical simulation
Optimal control
Photovoltaic systems
Solar energy
State of charge
Online AccessGet full text
ISSN2475-1456
2475-1456
DOI10.1109/LCSYS.2025.3573333

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Abstract This letter considers an islanded system consisting of a photovoltaic source connected to a battery storage through power converters, subject to a time varying load. An innovative charging architecture composed of two DC-DC converters and a super-capacitor is considered, and a novel modeling and optimal control framework is proposed with the aim of optimizing battery charge/discharge cycles while satisfying given generation and load profiles. Nonlinearities and nonconvex constraints arising from the electrical models are suitably treated in order to devise an optimal control problem involving linear dynamics that can be solved to the global optimum via mixed-integer linear programming. Numerical simulations based on a real data set show the effectiveness of the proposed approach as well as its computational feasibility.
AbstractList This letter considers an islanded system consisting of a photovoltaic source connected to a battery storage through power converters, subject to a time varying load. An innovative charging architecture composed of two DC-DC converters and a super-capacitor is considered, and a novel modeling and optimal control framework is proposed with the aim of optimizing battery charge/discharge cycles while satisfying given generation and load profiles. Nonlinearities and nonconvex constraints arising from the electrical models are suitably treated in order to devise an optimal control problem involving linear dynamics that can be solved to the global optimum via mixed-integer linear programming. Numerical simulations based on a real data set show the effectiveness of the proposed approach as well as its computational feasibility.
Author Bianchini, Gianni
Casini, Marco
Laudani, Antonino
Maria Lozito, Gabriele
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SubjectTerms Batteries
DC-DC power converters
electrical storage systems
Integrated circuit modeling
Load modeling
Mathematical models
Numerical models
Numerical simulation
Optimal control
Photovoltaic systems
Solar energy
State of charge
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Title Optimal Operation of Solar Battery Chargers via Mixed-Integer Linear Programming
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