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Optimization Models for Islanded Micro-Grids: A Comparative Analysis between Linear Programming and Mixed Integer Programming

Alberto Dolara (), Francesco Grimaccia (), Giulia Magistrati () and Gabriele Marchegiani ()
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Alberto Dolara: Department of Energy, Politecnico di Milano, Via La Masa 34, 20156 Milan, Italy
Francesco Grimaccia: Department of Energy, Politecnico di Milano, Via La Masa 34, 20156 Milan, Italy
Giulia Magistrati: Department of Energy, Politecnico di Milano, Via La Masa 34, 20156 Milan, Italy
Gabriele Marchegiani: Elvi Energy S.r.l., Piazza del Tricolore 4, 20129 Milan, Italy

Energies, 2017, vol. 10, issue 2, 1-20

Abstract: This paper presents a comparison of optimization methods applied to islanded micro-grids including renewable energy sources, diesel generators and battery energy storage systems. In particular, a comparative analysis between an optimization model based on linear programming and a model based on mixed integer programming has been carried out. The general formulation of these models has been presented and applied to a real case study micro-grid installed in Somalia. The case study is an islanded micro-grid supplying the city of Garowe by means of a hybrid power plant, consisting of diesel generators, photovoltaic systems and batteries. In both models the optimization is based on load demand and renewable energy production forecast. The optimized control of the battery state of charge, of the spinning reserve and diesel generators allows harvesting as much renewable power as possible or to minimize the use of fossil fuels in energy production.

Keywords: islanded micro-grids; hybrid power plants; linear programming; mixed integer programming (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2017
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