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Numerical calculation of the intercept factor for parabolic trough solar collector with secondary mirror

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  • Wu, Shaobing
  • Tang, Runsheng
  • Wang, Changmei

Abstract

The intercept factor is the most complex parameter involved in determining the optical efficiency of a parabolic trough solar collector. A numerical algorithm method was proposed to calculate the intercept factors of a parabolic trough solar collector using the Gauss error function and a Python program. The results indicate that the intercept factors can be calculated quickly and conveniently using the proposed method. We also introduced a numerical solution to calculate the intercept factor of the parabolic trough solar collector, which can provide accurate interception factors for different types of secondary reflection concentrators. The new analytical method was validated and benchmarked against a Gauss error function and Python program, demonstrating that the deviations were below 0.0015% for most cases studied. The primary goals of this study were to determine an appropriate numerical method to solve the intercept factors and errors for different secondary mirror types and to incorporate the selected intercept factor calculation into a secondary mirror design for a parabolic trough solar collector under various conditions.

Suggested Citation

  • Wu, Shaobing & Tang, Runsheng & Wang, Changmei, 2021. "Numerical calculation of the intercept factor for parabolic trough solar collector with secondary mirror," Energy, Elsevier, vol. 233(C).
    • Handle: RePEc:eee:energy:v:233:y:2021:i:c:s0360544221014237
    DOI: 10.1016/j.energy.2021.121175
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    References listed on IDEAS

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    Cited by:

    1. Song, Jifeng & Wu, Zhaoxuan & Wang, Juntao & Zhang, Kexin & Wang, Kai & Liu, Kunhao & Duan, Liqiang & Hou, Hongjuan, 2021. "Application of highly concentrated sunlight transmission and daylighting indoor via plastic optical fibers with comprehensive cooling approaches," Renewable Energy, Elsevier, vol. 180(C), pages 1391-1404.
    2. Wu, Shaobing & Wang, Changmei & Tang, Runsheng, 2022. "Optical efficiency and performance optimization of a two-stage secondary reflection hyperbolic solar concentrator using machine learning," Renewable Energy, Elsevier, vol. 188(C), pages 437-449.
    3. Mehrenjani, Javad Rezazadeh & Gharehghani, Ayat & Ahmadi, Samareh & Powell, Kody M., 2023. "Dynamic simulation of a triple-mode multi-generation system assisted by heat recovery and solar energy storage modules: Techno-economic optimization using machine learning approaches," Applied Energy, Elsevier, vol. 348(C).
    4. Chen, Zhuo & Han, Xinyue & Ma, Yu, 2024. "Performance analysis of a novel direct absorption parabolic trough solar collector with combined absorption using MCRT and FVM coupled method," Renewable Energy, Elsevier, vol. 220(C).
    5. Eduardo Venegas-Reyes & Naghelli Ortega-Avila & Manuel I. Peña-Cruz & Omar J. García-Ortiz & Norma A. Rodríguez-Muñoz, 2021. "A Linear Hybrid Concentrated Photovoltaic Solar Collector: A Methodology Proposal of Optical and Thermal Analysis," Energies, MDPI, vol. 14(23), pages 1-17, December.

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