The Calculation of Incident Radiation

  • J. R. Simonson
Chapter

Abstract

In the previous chapter it was seen that it is impracticable to attempt to measure solar irradiance on other than horizontal surfaces at selected locations, and in this chapter it will be shown how this measured irradiance is used in the calculation of incident irradiation on collector surfaces. Initially the extent of available data will be considered and then calculation procedures will be described using both hourly and monthly average daily data. This will be followed by procedures based on calculated extraterrestrial radiation and measured global radiation only. Recent studies to predict solar radiation from meteorological data will then be described and the chapter will be concluded with a consideration of data presentation for long-term performance predictions.

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References

  1. 3.1
    Richards, C.J., ‘Solar energy and the Meteorological Office’, The National Radiation Centre, Helios No. 9, published by The Solar Energy Unit, University College, Cardiff, 1980, pp. 6–9.Google Scholar
  2. 3.2
    Duffie, J.A. and Beckman, W.A., Solar Engineering of Thermal Processes, John Wiley, New York, 1980, p. 21.Google Scholar
  3. 3.3
    Liu, B.Y.H. and Jordan, R.C., ‘Daily insolation on surfaces tilted towards the equator’, Trans. ASHRAE, pp. 526–541 (1962).Google Scholar
  4. 3.4
    Rodgers, G.G., Page, J.K., and Souster, C.G., ‘Mathematical models for estimating the irradiance falling on inclined surfaces for clear, overcast and average conditions’, UK-ISES Proc. Vol. C18, pp. 48–62 (1979).Google Scholar
  5. 3.5
    Dave, J.V., ‘Isotropic distribution approximations in solar energy estimations’, Solar Energy, Vol. 22, pp. 15–19 (1979).CrossRefGoogle Scholar
  6. 3.6
    Simonson, J.R., ‘The simulation of partially and fully tracking flat plate collectors in northern latitudes’, proc. ISES Silver Jubilee Meeting, Atlanta, Vol. 3, pp. 2214–2218 (1979).Google Scholar
  7. 3.7
    Simonson, J.R., ‘The use of weighted R b factors in calculating monthly average irradiation on tilted surfaces’, Solar Energy, Vol. 27, pp. 445–448 (1981).CrossRefGoogle Scholar
  8. 3.8
    Klein, S.A., ‘Calculation of the monthly average transmittance absorptance product’, Solar Energy, Vol. 23, pp. 547–552 (1979).CrossRefGoogle Scholar
  9. 3.9
    Brandemuehl, M.J. and Beckman, W.A., ‘The transmission of diffuse radiation through CPC and flat-plate collector glazings’, Solar Energy, Vol. 24, pp. 511–513 (1980).CrossRefGoogle Scholar
  10. 3.10
    Page, J.K., ‘The estimation of monthly mean values of daily short wave radiation on vertical and inclined surfaces from sunshine records for latitudes 40&;#x00B0;N-40&;#x00B0;S’, Proc. U.N. Conf. New Sources of Energy, Vol. 4, p. 378 (1966).Google Scholar
  11. 3.11
    Iqbal, M., ‘Correlations of average diffuse and beam radiation with hours of bright sunshine’, Solar Energy, Vol. 23, pp. 169–174 (1979).CrossRefGoogle Scholar
  12. 3.12
    Cowley, J.P., ‘The distribution over Great Britain of global solar irradiation on a horizontal surface’, Meteorological Magazine, Vol. 107, pp. 357–373 (1978)Google Scholar
  13. 3.13
    Sears, R.D., Flocchini, R.G., and Hatfield, J.L., ‘Correlations of total diffuse and direct solar radiation with the percentage of possible sunshine for Davis, California’, Solar Energy, Vol. 27, pp. 357–360 (1981).CrossRefGoogle Scholar
  14. 3.14
    Klein, S.A., ‘Calculation of monthly average insolation on tilted surfaces’ Solar Energy, Vol. 19, pp. 325–329 (1977); Vol. 20, p. 441 (1978).Google Scholar
  15. 3.15
    Thekaekara, M.P. and Drummond, A.J., ‘Standard values for the Solar Constant and its spectral components’, Nat. Phys. Sci., Vol. 6, p. 229 (1971).Google Scholar
  16. 3.16
    Tuller, S.E., ‘The relationship between diffuse, total and extraterrestrial solar radiation’, Solar Energy, Vol. 18, pp. 259–264 (1976).CrossRefGoogle Scholar
  17. 3.17
    Klein, S.A. and Duffie, J.A. ‘Estimation of monthly average diffuse radiation’, Proc. 1978 Annual Meeting Am. ISES, Denver, Part 2.2, p. 672 (1978).Google Scholar
  18. 3.18
    Liu, B.Y.H., and Jordan, R.C., ‘Availability of solar energy for flat plate solar heat collectors’, Paper in Applications of Solar Energy for Heating and Cooling of Buildings, ASHRAE, New York (1977).Google Scholar
  19. 3.19
    Whillier, A., ‘The determination of hourly values of total radiation from daily summations’, Arch. Met. Geophys. Bioklim., Series B, Vol. 7, p. 197 (1956).CrossRefGoogle Scholar
  20. 3.20
    Whillier, A., ‘Solar Radiation Graphs’, Solar Energy, Vol. 9, p. 164, (1965).CrossRefGoogle Scholar
  21. 3.21
    Collares-Pereira, M. and Rabl, A., ‘The average distribution of solar radiation-correlations between diffuse and hemispherical and between daily and hourly insolation values’, Solar Energy, Vol. 22, pp. 155–164 (1979).CrossRefGoogle Scholar
  22. 3.22
    Orgill, J.F. and Hollands, K.G.T., ‘Correlation equations for hourly diffuse radiation on a horizontal surface’, Solar Energy, Vol. 19, p. 357 (1977).CrossRefGoogle Scholar
  23. 3.23
    Atwater, M.A. and Ball, J.T., ‘A numerical solar radiation model based on standard meteorological observations’, Solar Energy, Vol. 21, pp. 163–170 (1978); ‘Effects of clouds on insolation models’, Solar Energy, Vol. 27, pp. 37–44 (1981).CrossRefGoogle Scholar
  24. 3.24
    Hoyt, D.V., ‘A model for the calculation of solar global insolation’, Solar Energy, Vol. 21, pp. 27–36 (1978).CrossRefGoogle Scholar
  25. 3.25
    Atwater, M.A. and Brown, P.S., Jr., ‘Numerical computations of the latitudinal variation of solar radiation for an atmosphere of varying opacity’, J. Appl. Meteor., Vol. 13, pp. 289–297 (1974).CrossRefGoogle Scholar
  26. 3.26
    Atwater, M.A. and Lunde, P.J. ‘A cloud-cover radiation model producing results equivalent to measured radiation data’, Proc. ISES Silver Jubilee Meeting, At lanta, Vol. 3, pp. 2203–2207 (1979).Google Scholar
  27. 3.27
    Haurwitz, G., ‘Insolation in relation to cloud type’, J. Meteor. Vol. 5, pp. 110–113 (1948).CrossRefGoogle Scholar
  28. 3.28
    Whillier, A., Solar energy collection and its utilization for house heating, Sc.D. Thesis (Mech. Eng.), M.I.T., Cambridge, Massachusetts (1953).Google Scholar
  29. 3.29
    Hottel, H.C. and Whillier, A., ‘Evaluation of flat plate collector performance’, Trans. Conf. use of Solar Energy, Vol. 2, Part 1, University of Arizona Press, Tucson, Arizona, 1958, p. 74.Google Scholar
  30. 3.30
    Liu, B.Y.H. and Jordan, R.C. ‘A rational procedure for predicting the long term average performance of flat plate solar energy collectors’, Solar Energy, Vol. 7, p. 53 (1963).CrossRefGoogle Scholar
  31. 3.31
    Klein, S.A., ‘Calculation of flat plate collector utilizability’, Solar Energy, Vol. 21, p. 393 (1978).CrossRefGoogle Scholar
  32. 3.32
    Collares-Pereira, M. and Rabl, A., ‘Derivation of method for predicting long term average energy delivery of solar collectors’, Solar Energy, Vol. 23, pp. 223–234 (1979).CrossRefGoogle Scholar
  33. 3.33
    Collares-Pereira, M. and Rabl, A., ‘Simple Procedure for predicting long term average performance of nonconcentrating and of concentrating solar collectors’, Solar Energy, Vol. 23, pp. 235–354 (1979).CrossRefGoogle Scholar
  34. 3.34
    Lunde, P.J., Solar Thermal Engineering, John Wiley, New York (1980).Google Scholar

Copyright information

© J. R. Simonson 1984

Authors and Affiliations

  • J. R. Simonson
    • 1
  1. 1.Department of Mechanical EngineeringThe City UniversityLondonUK

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