Optimum matching of a photovoltaic array to a storage battery

A detailed mathematical analysis that combines the model of the battery, the solar cell array, the insolation, and the temperature profiles in a nonlinear optimization formulation to maximize system performance is presented. The analysis is extended to determine the optimum sizing of the array needed to supply the storage battery load. Different models of the battery are studied. The results indicate that the simple linear model of the battery can be used to yield a good estimate of the sizing of the array. Results show that in order to raise the state of charge of a battery from 0.25 to 1.0 in one day, the battery open-circuit voltage at full charge is 75% of the array maximum power point voltage at standard conditions.<
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