Measurement and modelling of global erythemal irradiance on inclined planes

pp. 57-66
DOI
10.3369/tethys.2010.7.05
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The aim of this paper is the characterization of global erythemal irradiance (UVER) on inclined planes. Different geometric models have been studied, both isotropic and anisotropic, which have been used to estimate the global UVER on inclined planes at 40° in North, South, East and West orientations. This has led to the hypothesis that these models, all of them originally developed to obtain diffuse irradiance in solar spectrum, can be applied in a much more limited range of UVER. The results have been compared with experimental data using the following statistical parameters: mean bias deviation, mean absolute deviation and root mean square deviation. The global UVER was analyzed for all sky conditions and for cloudless sky conditions, and no significant differences were found between the different models in both cases. Overall, the best performing model is Gueymard’s anisotropic model, even though it improves the Isotropic model in less than 2%.

  • - Bugler, J. W., 1977: The determination of hourly insolation on an inclined plane using a diffuse irradiance model based on hourly measured global horizontal insolation, Sol Energy, 19, 477–491, doi: 10.1016/0038-092X(77)90103-7.
  • - CIE, 1998: Erythema reference action spectrum and standard erythema dose, Vienna, ISO 17166:1999/CIE S007-1998.
  • - Esteve, A. R., Marín, M. J., Martínez-Lozano, J. A., Tena, F., Utrillas, M. P., i Cañada, J., 2006: UV index on tilted surfaces, Photochem Photobiol, 82, 1047–1052, doi: 10.1562/2005-11-30-RA-743.
  • - Gueymard, C., 1984: Physical modelling of the diffuse irradiance on tilted planes as a function of the aerosols anisotropic effect, Meteorology and renewable energies conference, AFME, Valbonne, France, pp. 303-314.
  • - Gueymard, C., 1986: Radiation on tilted planes: A physical model adaptable to any computational time-step, Proceedings of INTERSOL85, Elmsford, NY: Pergamon Press, pp. 2463-2467.
  • - Gueymard, C., 1987: An anisotropic solar irradiance model for tilted surfaces and its comparison with selected engineering algorithms, Sol Energy, 38, 367–386, doi: 10.1016/0038-092X(87)90009-0.
  • - Hamilton, H. L. i Jackson, A., 1985: A shield for obtaining diffuse sky radiation from portions of the sky, Sol Energy, 34, 121–123, doi: 10.1016/0038-092X(85)90099-4.
  • - Hartley, L. E., Martínez-Lozano, J. A., Utrillas, M. P., Tena, F., i Pedrós, R., 1999: The optimisation of the angle of inclination of a solar collector to maximise the incident solar radiation, Renew Energy, 17, 291–309, doi: 10.1016/S0960-1481(98)00763-0.
  • - Hay, J. E., 1979: Study of shortwave radiation on non-horizontal surfaces, Atmospheric Environment Service, Downsview, Ontario, rep. 79-12.
  • - Koronakis, P. S., 1986: On the choice of the angle of tilt for south facing solar collectors in the Athens basin area, Sol Energy, 36, 217–225, doi: 10.1016/0038-092X(86)90137-4.
  • - Liu, B. Y. H. i Jordan, R. C., 1962: Daily insolation on surfaces tilted towards the equator, Trans ASHRAE, pp. 526–541.
  • - Ma, C. C. Y. i Iqbal, M., 1983: Statistical comparison of models for estimating solar radiation on inclined surfaces, Sol Energy, 31, 313–317, doi: 10.1016/0038-092X(83)90019-1.
  • - Martínez-Lozano, J. A., Utrillas, M. P., i Gómez, V., 1994: Estimation of the diffuse solar irradiation from global solar irradiation. Daily and monthly average daily values, Renew Energy, 4, 95–100, doi: 10.1016/0960-1481(94)90069-8.
  • - McKinlay, A. F. i Diffey, B. L., 1987: A reference spectrum for ultraviolet induced erythema in human skin, CIE Journal, 6, 17–22.
  • - Notton, G., Cristofari, C., i Poggi, P., 2006: Performance evaluation of various hourly slope irradiation models using Mediterranean experimental data of Ajaccio, Energy Conv Manag, 47, 147–173, doi: 10.1016/j.enconman.2005.03.022.
  • - Parisi, A. V. i Kimlin, M. G., 1999: Horizontal and sun-normal spectral biologically effective ultraviolet irradiances, J Quant Spectrosc Radiat Transf, 35, 151–158, doi: 10.1016/S1011-1344(99)00128-1.
  • - Pérez, R., Stewart, R., Arbogast, R., Seals, J., i Scott, J., 1986: An anisotropic hourly diffuse radiation model for surfaces: description, performance validation, site dependency evaluation, Sol Energy, 36, 481–497, doi: 10.1016/0038-092X(86)90013-7.
  • - Pérez, R., Stewart, R., Ineichen, R., Seals, J., i Menicucci, D., 1987: A new simplified version of the Perez diffuse irradiance model for tilted surfaces, Sol Energy, 39, 221–231, doi: 10.1016/S0038-092X(87)80031-2.
  • - Pérez, R., Ineichen, P., Seals, J., i Zelenka, A., 1990: Making full use of the clearness index for parametering hourly insolation conditions, Sol Energy, 45, 111–114.
  • - Utrillas, M. P. i Martínez-Lozano, J. A., 1994: Performance evaluation of several versions of the Perez tilted diffuse irradiance model, Sol Energy, 53, 155–162, doi: 10.1016/0038-092X(94)90476-6.
  • - Utrillas, M. P., Martínez-Lozano, J. A., i Casanovas, A. J., 1991a: Evaluation of models for estimating solar irradiation on vertical surfaces at Valencia, Spain, Sol Energy, 47, 223–229, doi: 10.1016/0038-092X(91)90082-8.
  • - Utrillas, M. P., Martínez-Lozano, J. A., i Casanovas, A. J., 1991b: Desviaciones entre valores estimados y experimentales de irradiancia global y difusa sobre superficies verticales, Opt Pura Apl, 24.
  • - Utrillas, M. P., Marín, M. J., Esteve, A. R., Tena, F., Cañada, J., Estellés, V., i Martínez-Lozano, J. A., 2007: Diffuse UV erythemal radiation experimental values, J Geophys Res, 112, D24 207, doi: 10.1029/2007JD008846.
  • - Vilaplana, J., Cachorro, V., Sorribas, M., Luccini, E., de Frutos, A., Berjón, A., i de la Morena, B., 2006: Modified calibration procedures for a Yankee Environmental System UVB-1 biometer based on spectral measurements with a Brewer spectrophotometer, Photochem Photobiol, 82, 508–514, doi: 10.1562/2005-06-23-RA-590.
  • - Weihs, P., 2002: Influence of ground reflectivity and topography on erythemal UV radiation on inclined planes, Int J Biometeorol, 46, 95–104.
  • - Willmott, C. J., 1982: On the climatic optimization of the tilt and azimuth of flat-plate solar collectors, Sol Energy, 28, 205–216, doi: 10.1016/0038-092X(82)90159-1.
  • - Willmott, C. J. i Matsuura, K., 2005: Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance, Clim Res, 30, 79–82, doi: 10.3354/cr030079.

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