Simulation of Thermal-Optical Effects on a PMMA Fresnel Lens Used in Solar Concentrators

Abstract:

This study presents an integrated opto-mechanical analysis of a PMMA Fresnel lens used in solar concentrators for concentrated photovoltaic systems. The temperature dependence of refractive index of the PMMA lens was analyzed based on its temperature coefficient of refractive index dn/dT. In addition, the thermal distortion of the Fresnel lens under various temperature rises was computed by finite element analysis (FEA). Then, the temperature induced effects, variation of refractive index and the deformed lens geometry, were imported into ray tracing simulation simultaneously. Finally, the thermal-optical effects on the optical performance of a flat Fresnel lens were successfully investigated and discussed, including the maximum irradiances on the receiver and the optical efficiencies under different temperature rises.

• Periodical: Applied Mechanics and Materials (Volumes 284-287)
• Pages: 2840-2844
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.284-287.2840
• Online since: January 2013
• Authors: Yi Cheng Chen, Chia Hsun Su
• Keywords: Fresnel Lens, Integrated Opto-Mechanical Analysis, Thermal-Optical Effect

References

[1] V. M. Andreev, V. A. Grilikhes, A. A. Soluyanov, E. V. Vlasova and M. Z. Shvarts, Optimization of the Secondary Optics for Photovoltaic Units with Fresnel Lenses, Proceedings of the 24th European Photovoltaic Solar Energy Conference, (2008).

DOI: 10.1109/pvsc.2008.4922751

[2] M. Vietoria, C. Dominguez, I. Anton and G. Sala, Comparative Analysis of Different Secondary Optical Element for Aspheric Primary Lens, Optics Express, 17 (2009).

[3] P. A. Soave, R. A. F. Dau, M. R. Becker, M. B. Pereira and F. Horowitz, Refractive Index Control in Bicomponent Polymer Films for Integrated Thermo-Optical Applications, Optical Engineering, 48, 12 (2009).

DOI: 10.1117/1.3275452

[4] T. Hornung, A. Bachmaier, P. Nitz and A. Gombert, Temperature and Wavelength Dependent Measurement and Simulation of Fresnel Lens for Concentrating Photovoltaics, Proc. of SPIE, 7725 (2010) April 13-16, Brussels, Belgium.

DOI: 10.1117/12.854499

[5] E. S. Kang, T. H. Lee and B. S. Bae, Measurement of the Thermo-Optic Coefficients in Sol-Gel Derived Inorganic–Organic Hybrid Material Films, Applied Physics Letters, 81, 8 (2002).

DOI: 10.1063/1.1501448

[6] Z. Zhang, P. Zhao, P. Lin and F. Sun, Thermo-optic coefficients of polymers for optical waveguide applications, Polymer, 47 (2006).

DOI: 10.1016/j.polymer.2006.05.035

[7] Y. Kemmoku, T. Egami, M. Hiramatsu, Y. Miyazaki, K. Araki, N. J. Ekins-Daukes and T. Sakakibara, Modeling of module temperature of a concentrators system, Proceeding of the 19th European Photovoltaic Solar Energy Conference and Exhibition (2004).

[8] Leutz, A. Suzuki, Nonimaging Fresnel Lenses Design and Performance of Solar Concentrators, Springer-Verlag, Berlin Heidelberg, Germany (2001).

[9] P. R. Yoder, Opto-Mechanical Systems Design, 3rd Ed. CRC Press (2006).

[10] R. E. Fischer, B. T. Galeb and P. R. Yoder, Optical System Design, 2nd Ed., McGraw-Hill (2008).