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The size of a photovoltaic system up to determine the necessary number of the installed solar panels photovoltaic to adopt a PV system sufficient to meet the needs of the load at any moment and the carrying capacity of the battery, ​it is necessary that the mathematical model used to calculate the power delivered by the solar panel is more practical. In this work, we presented several mathematical models for calculating the maximum power at the output of a photovoltaic module depending of conditions meteorological (Illumination solar and temperature). A comparative study based on Lu Lin 2004 essays was made for the purpose of deducing the most reliable mathematical model, which can be used to calculate the power delivered by a photovoltaic panel.