Acta Optica Sinica, Volume. 37, Issue 9, 0922002(2017)
Design Method of Solar Concentrator Based on Elliptic Type Monge-Ampére Equations
A novel mathematical model which converts the solar collection problem into a nonlinear boundary problem for the elliptic type Monge-Ampére equations based on differential geometry, refraction law, reflection law and the conservation of energy is proposed. A freeform solar concentrator is designed based on this mathematical model. The freeform concentrator system is simulated by ray-tracing software. The results indicate that considering the Fresnel loss and the absorption of optical materials, when the sunlight possesses 0.27° divergence half-angle, the geometric concentration ratio and the focusing efficiency of the 1000 mm freeform solar concentrator reach 500 and 77.5%, respectively. The freeform designed by this method has higher degree of freedom, which makes it possible to design solar concentrators with different degrees of concentrating requirements.
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Peng Yin, Xiping Xu, Zhaoguo Jiang, Lulu Zhang. Design Method of Solar Concentrator Based on Elliptic Type Monge-Ampére Equations[J]. Acta Optica Sinica, 2017, 37(9): 0922002
Category: Optical Design and Fabrication
Received: Apr. 12, 2017
Accepted: --
Published Online: Sep. 7, 2018
The Author Email: Xu Xiping (xxp@cust.edu.cn)