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Optical analysis of cylindrical–parabolic concentrators: validity limits for models of solar disk intensity

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Abstract

Different optical analysis of cylindrical–parabolic concentrators were made by utilizing four models of intensity distribution of the solar disk, i.e., square, uniform, real, and Gaussian. In this paper, the validity conditions using such distributions are determined by calculating each model of the intensity distribution on the receiver plane of perfect and nonperfect cylindrical-parabolic concentrators. We call nonperfect concentrators those in which the normal to each differential element of the specular surface departs from its correct position by an angle ε, the possible values of which follow a Gaussian distribution of mean value ε̅ and standard deviation σε. In particular, the results obtained with the models considered for a concentrator with an aperture half-angle of 45° are shown and compared. An important conclusion is that for σε ≳ 4 mrad, in some cases for σε ≳ 2 mrad, the results obtained are practically independent of the model used.

© 1987 Optical Society of America

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