IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v4y1994i5p529-543.html
   My bibliography  Save this article

Atmospheric transmittance models and an analytical method to predict the optimum slope of an absorber plate, variously oriented at any latitude

Author

Listed:
  • Nijegorodov, N.
  • Devan, K.R.S.
  • Jain, P.K.
  • Carlsson, S.

Abstract

Two new atmospheric transmittance models are proposed to calculate the diurnal profile of solar radiation intensity. These two, together with six other models proposed by earlier researchers, are used to obtain analytical formulae for the optimum tilt angle for a plane absorber plate at any latitude in either hemisphere. In all cases two sky models, namely the isotropic model and the anisotropic model proposed by Hay and Davies, are used. This gives a total of 16 different analytical formulae for the optimum tilt angle. The optimum slopes calculated from these formulae for Kabul, Afghanistan (φ = 34.5°) for certain days of the year, when γ = 0 and γ = ±45°, are compared with the experimentally measured optimum slopes for those days. A simple empirical formula which is a function of latitude φ and the day of a year n is also proposed to calculate the optimum slope when γ = 0. For any given day of the year, the empirical formula reduces to a linear correlation between the optimum tilt and the latitude. The linear correlations for the monthly optimum slopes (corresponding to the Julian days) and latitude are given. The analysis is further extended to predict the optimum tilt angle, and optimum surface azimuth angle when Wp is not equal to zero, and it is concluded that when Wp ≠ 0, the optimum surface azimuth angle is also not equal to zero. The mean year optimum slope and the mean heating season slope for Gaborone, Botswana (φ = −24.5°) are calculated. A formula to calculate sunset and sunrise hour angles when β ≠ 0 and γ ≠ 0 is obtained. The various symbols used are given in the Nomenclature.

Suggested Citation

  • Nijegorodov, N. & Devan, K.R.S. & Jain, P.K. & Carlsson, S., 1994. "Atmospheric transmittance models and an analytical method to predict the optimum slope of an absorber plate, variously oriented at any latitude," Renewable Energy, Elsevier, vol. 4(5), pages 529-543.
    • Handle: RePEc:eee:renene:v:4:y:1994:i:5:p:529-543
    DOI: 10.1016/0960-1481(94)90215-1
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0960148194902151
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/0960-1481(94)90215-1?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.

    Citations

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


    Cited by:

    1. Chang, Tian Pau, 2009. "The gain of single-axis tracked panel according to extraterrestrial radiation," Applied Energy, Elsevier, vol. 86(7-8), pages 1074-1079, July.
    2. Nijegorodov, N. & Jain, P.K., 1997. "Optimum slope of a north-south aligned absorber plate from the north to the south poles," Renewable Energy, Elsevier, vol. 11(1), pages 107-118.
    3. Nijegorodov, N. & Adedoyin, J.A. & Devan, K.R.S., 1997. "A new analytical-empirical model for the instantaneous diffuse radiation and experimental investigation of its validity," Renewable Energy, Elsevier, vol. 11(3), pages 341-350.
    4. Al Garni, Hassan Z. & Awasthi, Anjali & Wright, David, 2019. "Optimal orientation angles for maximizing energy yield for solar PV in Saudi Arabia," Renewable Energy, Elsevier, vol. 133(C), pages 538-550.
    5. Maatallah, Taher & El Alimi, Souheil & Nassrallah, Sassi Ben, 2011. "Performance modeling and investigation of fixed, single and dual-axis tracking photovoltaic panel in Monastir city, Tunisia," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(8), pages 4053-4066.
    6. Mahmood Alharbi & Ramzi Alahmadi & Ahmed Alahmadi, 2023. "Meteorological-Data-Based Modeling for PV Performance Optimization," Sustainability, MDPI, vol. 15(11), pages 1-16, May.
    7. Ramez Abdallah & Adel Juaidi & Salameh Abdel-Fattah & Francisco Manzano-Agugliaro, 2020. "Estimating the Optimum Tilt Angles for South-Facing Surfaces in Palestine," Energies, MDPI, vol. 13(3), pages 1-29, February.
    8. Ahmad, Naseer & Sheikh, Anwar K. & Gandhidasan, P. & Elshafie, Moustafa, 2015. "Modeling, simulation and performance evaluation of a community scale PVRO water desalination system operated by fixed and tracking PV panels: A case study for Dhahran city, Saudi Arabia," Renewable Energy, Elsevier, vol. 75(C), pages 433-447.
    9. Marucci, Alvaro & Cappuccini, Andrea, 2016. "Dynamic photovoltaic greenhouse: Energy balance in completely clear sky condition during the hot period," Energy, Elsevier, vol. 102(C), pages 302-312.
    10. Memme, Samuele & Fossa, Marco, 2022. "Maximum energy yield of PV surfaces in France and Italy from climate based equations for optimum tilt at different azimuth angles," Renewable Energy, Elsevier, vol. 200(C), pages 845-866.
    11. Barbón, A. & Ayuso, P. Fortuny & Bayón, L. & Silva, C.A., 2021. "A comparative study between racking systems for photovoltaic power systems," Renewable Energy, Elsevier, vol. 180(C), pages 424-437.
    12. Chang, Tian Pau, 2009. "Performance evaluation for solar collectors in Taiwan," Energy, Elsevier, vol. 34(1), pages 32-40.
    13. Ibrahim, D., 1995. "Optimum tilt angle for solar collectors used in Cyprus," Renewable Energy, Elsevier, vol. 6(7), pages 813-819.
    14. Chang, Tian Pau, 2009. "Output energy of a photovoltaic module mounted on a single-axis tracking system," Applied Energy, Elsevier, vol. 86(10), pages 2071-2078, October.
    15. Poshtiri, Amin Haghighi & Bahar, Safoura & Jafari, Azadeh, 2016. "Daily cooling of one-story buildings using domed roof and solar adsorption cooling system," Applied Energy, Elsevier, vol. 182(C), pages 299-319.
    16. Zhang, Tao & Li, Yiteng & Chen, Yin & Feng, Xiaoyu & Zhu, Xingyu & Chen, Zhangxing & Yao, Jun & Zheng, Yongchun & Cai, Jianchao & Song, Hongqing & Sun, Shuyu, 2021. "Review on space energy," Applied Energy, Elsevier, vol. 292(C).
    17. Nijegorodov, N.I. & Devan, K.R.S. & Simao, H. & Mabbs, R., 2003. "Comprehensive study of solar conditions in Mozambique: the effect of trade winds on solar components," Renewable Energy, Elsevier, vol. 28(12), pages 1965-1983.

    More about this item

    Statistics

    Access and download statistics

    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:renene:v:4:y:1994:i:5:p:529-543. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.journals.elsevier.com/renewable-energy .

    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.