Modelling the statistical properties of solar radiation and proposal of a technique based on boltzmann statistics

Modeling Solar Radiation at the Earth's Surface: Recent Advances

Volumn , Issue , 2008, Pages 55-91

  Tovar Pescador, Joaquin ^a  

^a UNIVERSITY OF JAÉN   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84890007366     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-540-77455-6_3     Document Type: Chapter

References (62)

1. Andretta A, Bartoli B, Colucci B, Cuomo V, Francesca M, Serio C (1982) Global solar radiation estimation from relative sunshine hours in Italy. Journal of AppliedMeteorology 21:1377-1384.
2. Angström A (1924) Solar and terrestrial radiation. Q J Roy Met Soc 50:121-126.
3. Angström A (1956) On the computation of global radiation from records of sunshine. Arkiv fur Geofisik 5:41-49.
4. Babu KS, Satyamurty VV (2001) Frequency distribution of daily clearness index through generalized parameters. Solar Energy 70:35-43.
5. Baker DG, Klink JC (1975) Solar radiation reception, probabilities, and a real distribution in the north-central region. Agricultural experiment Station, University of Minnesota, p 225.
6. Barbaro S, Cannata G, Coppolino S (1983) Monthly reference distribution of daily relative sunshine values. Solar Energy 31:63-67.
7. Bendt P, Collares-Pereira M, Rabl A (1981) The frequency distribution of daily insolation values. Solar Energy, 27:1-5.
8. Bennet I (1965) Monthly maps of mean daily insolation for the United States. Solar Energy, 9:145-158.
9. Bennet I (1967) Frequency of daily insolation in Anglo North America during June and December. Solar Energy 11:41-55.
10. Black JN, Bonython CW, Prescott JM (1954) Solar Radiation and the duration of sunshine. Q J Roy Met Soc 80:231-235.
11. Bois P, Goussebaile J, Mejon MJ, Vachaud G (1977) Analyse de donnees d'energie solaire en vue des applications. Solar Energy Conversion and Application, Chassagne et al., editors, pp 171-191.
12. Callegari M, Festa R, Ratto CF (1992) Stochastic modelling of daily beam irradiation. Renewable Energy. 6:611-624.
13. Engels JD, Pollock SM, Clark JA (1981) Observation on the statistical nature of terrestrial irradiation. Solar Energy, 26:91-92.
14. Ettoumi FY, Mefti A, Adane A, Bouroubi MY (2002) Statistical analysis of solar measurements in Algeria using beta distributions. Renewable Energy, 26:47-67.
15. Exell RHB (1981) A mathematical model for solar radiation in South-East Asia (Thailand). Solar Energy, 26:161-168.
16. Festa R, Ratto CF (1993) International Energy Agency. Solar heating and Cooling Programme Report-IEA-SCHP-9E-4.
17. Feuillard T, Abillon JM (1989) The probability density function of the clearness index: A new approach. Solar Energy, 43:363:372.
18. Gansler RA, Klein SA, Beckman WA (1995) Investigation of minute solar radiation data. Solar Energy, 55:21-27.
19. Glover J, McCulloch JSG (1958) The empirical relation between solar radiation and hours of sunshine. Q J Roy Met Soc 84:172-175.
20. Gordon JM, Reddy TA (1988) Time series analysis of daily horizontal solar radiation. Solar Energy, 41:215-226.
21. Graham VA, Hollands KGT, Unny TE (1988) A time series model for kt, with applications to global synthetic weather generation. Solar Energy, 40:83-92.
22. Gueymard C (1999) Prediction and performance assessment of mean hourly global radiation. Solar Energy, 68:285-303.
23. Hansen JW (1999) Stochastic daily solar irradiance for biological modeling applications. Agricultural and Forest Meteorology, 94:53-63.
24. Hollands KGT, Huget RG (1983) A probability density function for the clearness index, with applications. Solar Energy, 30:195-209.
25. Ibáñez M, Beckman WA, Klein SA (2002) Frequency distributions for hourly and daily clearness index. J. Solar Energy Eng, 124:28-33.
26. Ibáñez M, Rosell JI, Beckman WA (2003) A bi-variable probability density function for the daily clearness index. Solar Energy, 75:73-80.
27. Iqbal, M (1983) An Introduction to Solar Radiation. Academic Press. New York.
28. Jurado M, Caridad JM, Ruiz V (1995) Statistical distribution of the clearness index with radiation data integrated over five minutes intervals. Solar Energy 55:469-473.
29. Karlin & Taylor (1975) A First Course in Stochastic Processes, Academic Press, New York.
30. Klink SA (1974a) Calculation of monthly average insolation on tilted surfaces. Solar Energy 19:325-329.
31. Klink JC (1974b) A global solar radiation climatology for Minnapolis St. Paul. PhD Tesis.
32. Mefti A, Bouroubi MY, Adane A (2003) Generation of hourly solar radiation for inclined surfaces using monthly mean sunshine duration in Algeria. Energy Conversion and Management, 44:3125-3141.
33. Lestienne R (1978) Modele markovien simplifie de meteorologie a deux etats. L'exemple d'Odeillo. La Meteorologie, 12:53-64.
34. Lestienne R (1979) Application du modele markovien simplifie a l'etude du comportement du stockage d'une centrale solaire. Revue de Physique Appliquee, 14:139-144.
35. Liu BYH, Jordan RC (1960) The interrelationship and the characteristics distribution of direct, diffuse and total solar radiation. Solar Energy 4:1-19.
36. Olseth JA, Skartveit A (1984) A probability density function for daily insolation within the temperate storm belts. Solar Energy, 33:533-542.
37. Olseth JA, Skartveit A (1987) A probability density model for hourly total and beam irradiance on arbitrarily orientated planes. Solar Energy, 39:343-351.
38. Olseth JA, Skartveit A (1993) Characteristics of hourly global irradiance modelled from cloud data. Solar Energy, 51:197-204.
39. Reddy TA, Kumar S, Gaunier GY (1985) Review of solar radiation analysis techniques for prediction long-term thermal collector performance. Renewable Energy Review J, 7, 56.
40. Rönnelid M (2000) The origin of the asymmetric annual irradiation distribution at high latitudes. Renewable Energy, 19:345-358.
41. Rönnelid M, Karlsson B (1987) Irradiation distribution diagrams and their use for estimating collectable energy. Solar Energy 61:191-201.
42. Ross J, Sukev M, Saarelaid P (1998) Statistical treatment of the PAR variability and its application to willow coppice. Agricultural and Forest Meteorology, 91:1-21.
43. Saunier GY, Reddy TA, Kumar S (1987) A monthly probability distribution function of daily global irradiation values appropriate for both tropical and temperate locations. Solar Energy, 38:169-177.
44. Skartveit A, Olseth JA (1992) The probability density and autocorrelation of short-term global and beam irradiance. Solar Energy, 49:477-487.
45. Stuart RW, Hollands KTG (1988) A probability density function for the beam transmittance. Solar Energy, 40:463-467.
46. Suerhrcke, H. y McCormick, P.G. (1987) An aproximation for γ of the fractional time distribution of daily clearness index. Solar Energy, 39: 369-370.
47. Suehrcke H, McCormick PG (1988a) The frequency distribution of instantaneous insolation values. Solar Energy, 40:413-422.
48. Suehrcke H, McCormick PG (1988b) The diffuse fraction of instantaneous solar radiation. Solar Energy, 40:423-430.
49. Suehrcke H, McCormick PG (1989) Solar radiation utilizability. Solar Energy 43:339-345.
50. Tiba C, Siqueira AN, Fraidenraich N (2007) Cumulative distribution curves of daily clearness index in a southern tropical climate. Renewable Energy, in press doi:10.1016/j.renene.2006.11.014.
51. Tomson T, Tamm G (2006) Short-term variability of solar radiation. Solar Energy, 80:600-606.
52. Tovar J, Olmo FJ, Alados-Arboledas L (1998a) One-minute global irradiance probability density distributions conditioned to the optical air mass. Solar Energy, 62:387-393.
53. Tovar J, Olmo FJ, Batlles FJ, Alados-Arboledas L (1998b) One-minute kb and kd probability density distributions conditioned to the optical air mass. Solar Energy, 65:297-304.
54. Tovar J, Olmo FJ, Batlles FJ, Alados-Arboledas L (2001) Dependence of one-minute global irradiance probability density distributions on hourly irradiation. Energy, 26:659-668.
55. Tovar-Pescador J, Pozo-Vazquez D, Batlles J, López G, Muñoz-Vicente D (2004) Proposal of a function for modeling the hourly frequency distributions of photosynthetically active radiation. Theoretical and Applied Climatology, 79:71-79.
56. Varo M, Pedrós G, Martínez-Jimenez P (2005) Modelling of broad band ultraviolet clearness index distributions for Cordoba, Spain. Agricultural and Forest Meteorology, 135:346-351.
57. Varo M, Pedrós G, Martínez-Jiménez P, Aguilera MJ (2006) Global solar irradiance in Cordoba: Clearness index distributions conditioned to the optical air mass. Renewable Energy, 31:1321-1332.
58. Vijayakumar G, Kummert M, Klein SA, Beckman WA (2005) Analysis of short-term solar radiation data. Solar Energy, 79:495-504.
59. Wang S, Chen W, Cihlar J (2002) New calculation methods of diurnal distribution of solar radiation and its interception by canopy over complex terrain. Ecological modelling 00:1-14.
60. Whillier A (1956) The determination of hourly values of total solar radiation from daily summation. Archiv fur Meteorologie Geophysik und Bioklimatologie, B7:197.
61. Wilks DS (2006) Statistical methods in the Atmospheric Sciences, International Geophysics Series, Academic Press, USA, Chapter 6.
62. Woyte A, Belmans R, Nijs J (2007) Fluctuations in instantaneous clearness index: Analysis and statistics. Solar Energy, 81:195-206.