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A mathematical model to develop a Scheffler-type solar concentrator coupled with a Stirling engine

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  • Ruelas, José
  • Velázquez, Nicolás
  • Cerezo, Jesús

Abstract

This study develops and applies a new mathematical model for estimating the intercept factor of a Scheffler-type solar concentrator (STSC) based on the geometric and optical behaviour of the concentrator in Cartesian coordinates, and the incorporation of a thermal model of the receptor is performed using numerical examinations to determine the technical feasibility of attaching the STSC to a 3kWe Stirling engine. A numerical validation of the mathematical model is determined based on the experimental results reported for the WGA500 concentrator and the CNRS-PROMES system receiver. The numerical results allow for the design of the STSC and a comparison with a parabolic dish that provides the same thermal demand. Our findings show that the highest concentration was obtained with an edge angle of 45°, which was observed in the parabolic dish as well, but the STSC receiver shows a 7% increase in the thermal efficiency compared with the efficiency of the parabolic dish receiver. Finally, the STSC is appropriate for regions where the solar height allows for a reduction of convective thermal loss.

Suggested Citation

  • Ruelas, José & Velázquez, Nicolás & Cerezo, Jesús, 2013. "A mathematical model to develop a Scheffler-type solar concentrator coupled with a Stirling engine," Applied Energy, Elsevier, vol. 101(C), pages 253-260.
    • Handle: RePEc:eee:appene:v:101:y:2013:i:c:p:253-260
    DOI: 10.1016/j.apenergy.2012.05.040
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    References listed on IDEAS

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    1. Slavin, V.S. & Bakos, G.C. & Finnikov, K.A., 2009. "Conversion of thermal energy into electricity via a water pump operating in Stirling engine cycle," Applied Energy, Elsevier, vol. 86(7-8), pages 1162-1169, July.
    2. Bǎdescu, V., 1992. "Optimum operation of a solar converter in combination with a Stirling or Ericsson heat engine," Energy, Elsevier, vol. 17(6), pages 601-607.
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    Cited by:

    1. Mendoza Castellanos, Luis Sebastian & Carrillo Caballero, Gaylord Enrique & Melian Cobas, Vladimir Rafael & Silva Lora, Electo Eduardo & Martinez Reyes, Arnaldo Martin, 2017. "Mathematical modeling of the geometrical sizing and thermal performance of a Dish/Stirling system for power generation," Renewable Energy, Elsevier, vol. 107(C), pages 23-35.
    2. Farhan Lafta Rashid & Mudhar A. Al-Obaidi & Ali Jafer Mahdi & Arman Ameen, 2024. "Advancements in Fresnel Lens Technology across Diverse Solar Energy Applications: A Comprehensive Review," Energies, MDPI, vol. 17(3), pages 1-40, January.
    3. Paolo Iodice & Amedeo Amoresano & Giuseppe Langella & Francesco Saverio Marra, 2023. "Numerical Optimization and Energetic Advantages of an Innovative Solar Power System Based on Scheffler Receiver Coupled with Volumetric Expanders," Energy & Environment, , vol. 34(3), pages 602-620, May.
    4. Wang, Hai & Huang, Jin & Song, Mengjie & Yan, Jian, 2019. "Effects of receiver parameters on the optical performance of a fixed-focus Fresnel lens solar concentrator/cavity receiver system in solar cooker," Applied Energy, Elsevier, vol. 237(C), pages 70-82.
    5. Luo, Zhongyang & Sultan, Umair & Ni, Mingjiang & Peng, Hao & Shi, Bingwei & Xiao, Gang, 2016. "Multi-objective optimization for GPU3 Stirling engine by combining multi-objective algorithms," Renewable Energy, Elsevier, vol. 94(C), pages 114-125.
    6. Kumar, Anil & Prakash, Om & Kaviti, Ajay Kumar, 2017. "A comprehensive review of Scheffler solar collector," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 890-898.
    7. Cheng, Chin-Hsiang & Yang, Hang-Suin & Jhou, Bing-Yi & Chen, Yi-Cheng & Wang, Yu-Jen, 2013. "Dynamic simulation of thermal-lag Stirling engines," Applied Energy, Elsevier, vol. 108(C), pages 466-476.
    8. Sophia Akhtar & M Khurram Hashmi & Ishaq Ahmad & Rizwan Raza, 2018. "Advances and significance of solar reflectors in solar energy technology in Pakistan," Energy & Environment, , vol. 29(4), pages 435-455, June.
    9. Ruelas, José & Palomares, Juan & Pando, Gabriel, 2015. "Absorber design for a Scheffler-Type Solar Concentrator," Applied Energy, Elsevier, vol. 154(C), pages 35-39.
    10. Carrillo Caballero, Gaylord Enrique & Mendoza, Luis Sebastian & Martinez, Arnaldo Martin & Silva, Electo Eduardo & Melian, Vladimir Rafael & Venturini, Osvaldo José & del Olmo, Oscar Almazán, 2017. "Optimization of a Dish Stirling system working with DIR-type receiver using multi-objective techniques," Applied Energy, Elsevier, vol. 204(C), pages 271-286.
    11. Ji-Qiang Li & Jeong-Tae Kwon & Seon-Jun Jang, 2020. "The Power and Efficiency Analyses of the Cylindrical Cavity Receiver on the Solar Stirling Engine," Energies, MDPI, vol. 13(21), pages 1-17, November.

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