IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v101y2013icp253-260.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261912004138
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.apenergy.2012.05.040?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Ruelas, José & Palomares, Juan & Pando, Gabriel, 2015. "Absorber design for a Scheffler-Type Solar Concentrator," Applied Energy, Elsevier, vol. 154(C), pages 35-39.
    9. 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.
    10. 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.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Moazami Goudarzi, Hosein & Yarahmadi, Mehran & Shafii, Mohammad Behshad, 2017. "Design and construction of a two-phase fluid piston engine based on the structure of fluidyne," Energy, Elsevier, vol. 127(C), pages 660-670.
    2. Karabulut, H. & Yücesu, H.S. & Çinar, C., 2006. "Nodal analysis of a Stirling engine with concentric piston and displacer," Renewable Energy, Elsevier, vol. 31(13), pages 2188-2197.
    3. Langdon-Arms, Samuel & Gschwendtner, Michael & Neumaier, Martin, 2018. "A novel solar-powered liquid piston Stirling refrigerator," Applied Energy, Elsevier, vol. 229(C), pages 603-613.
    4. Kaushik, S.C & Kumar, S, 2000. "Finite time thermodynamic analysis of endoreversible Stirling heat engine with regenerative losses," Energy, Elsevier, vol. 25(10), pages 989-1003.
    5. Jokar, H. & Tavakolpour-Saleh, A.R., 2015. "A novel solar-powered active low temperature differential Stirling pump," Renewable Energy, Elsevier, vol. 81(C), pages 319-337.
    6. Ahmadi, Rouhollah & Jokar, H. & Motamedi, Mahmoud, 2018. "A solar pressurizable liquid piston stirling engine: Part 2, optimization and development," Energy, Elsevier, vol. 164(C), pages 1200-1215.
    7. Cheng, Chin-Hsiang & Yang, Hang-Suin, 2012. "Optimization of geometrical parameters for Stirling engines based on theoretical analysis," Applied Energy, Elsevier, vol. 92(C), pages 395-405.
    8. Motamedi, Mahmoud & Ahmadi, Rouhollah & Jokar, H., 2018. "A solar pressurizable liquid piston stirling engine: Part 1, mathematical modeling, simulation and validation," Energy, Elsevier, vol. 155(C), pages 796-814.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:appene:v:101:y:2013:i:c:p:253-260. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.