Abstract

The geometry of the cusped linear solar concentrator composed of plane mirror elements has been optimized by a very general procedure that provides the angles (and hence also the widths) of the constituent mirror elements that mathematically maximize concentration for any specified number of elements and height of concentrator. The optimal designs of the present work tend to the compound parabolic concentrator (CPC) as the number of mirror elements increases. These designs are evaluated in detail. Optimal designs with restriction on reflector area employed are presented. Results of optimization with a limit on the maximum angle of incidence on the absorber are also included. Detailed results for a wide range of numbers of mirror elements are provided to serve as design guide. The results for half acceptance angles between 6° and 9° have been emphasized as these provide for energy collection for about 7 and 8 hours, respectively, during solstice, by concentrators aligned east to west.

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