A new anisotropic diffuse radiation model

Abstract Through the analysis of distribution of diffuse radiation in the sky, the sky diffuse radiation is divided into four zones. Based on the concept of radiation intensity and solid angle, the corresponding integral equation is established in each zone to build a new theoretical model of anisotropic diffuse radiation. Radiation enhancement coefficients in the new theoretical model are solved from the instantaneous diffuse radiation data received by 30°, 45°, 60° inclined planes, then new model and existing models are compared with the diffuse radiation data received by 90° inclined planes. The results demonstrate that for existing models, Perez model is the most accurate, followed by Liu and Jordan model. Among the second generation models, Klucher model, Hay model, Skartveit and Olseth model are relatively accurate. While compared with existing models, NADR model is more consistent with the measured values. Further comparative analysis shows that for east and north orientations, Perez model and NADR model are more accurate; for south and west orientations, Liu and Jordan model and NADR model are more accurate. Klucher model is well agreed with the measured data in different inclinations. Hay model and Skartveit and Olseth model are relatively accurate on 30° tilt surface, and Temps and Coulson model is also relatively accurate on 45° tilt surface. NADR model is in good agreement with the measured data on 60° and 90° tilt surface. On the whole, NADR model is more accurate than the existing models.

[1]  Ralph C. Temps,et al.  Solar radiation incident upon slopes of different orientations , 1977 .

[2]  J. Olseth,et al.  Modelling slope irradiance at high latitudes , 1986 .

[3]  A Technique for Mapping the Distribution of Diffuse Solar Radiation over the Sky Hemisphere , 1981 .

[4]  C. Gueymard.  Clear-sky irradiance predictions for solar resource mapping and large-scale applications: Improved validation methodology and detailed performance analysis of 18 broadband radiative models , 2012 .

[5]  Viorel Badescu,et al.  3D isotropic approximation for solar diffuse irradiance on tilted surfaces , 2002 .

[6]  W. Beckman,et al.  Evaluation of hourly tilted surface radiation models , 1990 .

[7]  Francesco Calise,et al.  Design and simulation of a prototype of a small-scale solar CHP system based on evacuated flat-plate solar collectors and Organic Rankine Cycle , 2015 .

[8]  Benjamin Y. H. Liu,et al.  The long-term average performance of flat-plate solar-energy collectors , 1963 .

[9]  Arif Hepbasli,et al.  Comparison of solar radiation correlations for İzmir, Turkey , 2002 .

[10]  T. Muneer,et al.  Solar Radiation and Daylight Models: For the Energy Efficient Design of Buildings , 1997 .

[11]  Seddik Bacha,et al.  Modeling and control of hybrid photovoltaic wind power system with battery storage , 2015 .

[12]  V. Geros,et al.  Analysis of experimental data on diffuse solar radiation in Athens, Greece, for building applications , 2003 .

[13]  Paul Cooper,et al.  Development and evaluation of a ceiling ventilation system enhanced by solar photovoltaic thermal collectors and phase change materials , 2014 .

[14]  Yiping Dai,et al.  Multi-objective optimization of a combined cooling, heating and power system driven by solar energy , 2015 .

[15]  C. Gueymard.  An anisotropic solar irradiance model for tilted surfaces and its comparison with selected engineering algorithms , 1987 .

[16]  J. Hay.  Calculation of monthly mean solar radiation for horizontal and inclined surfaces , 1979 .

[17]  L. Umanand,et al.  Estimation of global radiation using clearness index model for sizing photovoltaic system , 2005 .

[18]  P. Koronakis,et al.  On the choice of the angle of tilt for south facing solar collectors in the Athens basin area , 1986 .

[19]  Richard Perez,et al.  An anisotropic hourly diffuse radiation model for sloping surfaces: Description, performance validation, site dependency evaluation , 1986 .

[20]  G. Kamali,et al.  Evaluation of 12 models to estimate hourly diffuse irradiation on inclined surfaces , 2008 .

[21]  H. Manz,et al.  Empirical validation of models to compute solar irradiance on inclined surfaces for building energy simulation , 2007 .

[22]  Yang Jianping,et al.  Estimating daily global radiation using two types of revised models in China , 2006 .

[23]  Amauri Pereira de Oliveira,et al.  Correlation models of diffuse solar-radiation applied to the city of São Paulo, Brazil , 2002 .

[24]  C. Y. Chan,et al.  An empirical approach to estimating monthly radiation on south-facing tilted planes for building application , 2006 .

[25]  C. G. Justus,et al.  A Model for Solar Spectral Irradiance and Radiance at the Bottom and Top of a Cloudless Atmosphere , 1985 .

[26]  H. Kambezidis,et al.  DIFFUSE SOLAR IRRADIATION MODEL EVALUATION IN THE NORTH MEDITERRANEAN BELT AREA , 2001 .

[27]  T. Muneer.  Solar radiation and daylight models , 2004 .

[28]  Xiaofan Zeng,et al.  Solar radiation estimation using sunshine hour and air pollution index in China , 2013 .

[29]  Nadir Ahmed Elagib,et al.  Correlationships between clearness index and relative sunshine duration for Sudan , 1999 .

[30]  F. C. Hooper,et al.  Anisotropic sky radiance model based on narrow field of view measurements of shortwave radiance , 1993 .

[31]  Marija Zlata Boznar,et al.  Modeling hourly diffuse solar-radiation in the city of São Paulo using a neural-network technique , 2004 .

[32]  Majdi Hazami,et al.  Energetic performances of an optimized passive Solar Heating Prototype used for Tunisian buildings air-heating application , 2014 .

[33]  C. Gueymard.  Direct and indirect uncertainties in the prediction of tilted irradiance for solar engineering applications , 2009 .

[34]  T. M. Klucher.  Evaluation of models to predict insolation on tilted surfaces , 1978 .

[35]  Chanchal Kumar Pandey,et al.  A comparative study to estimate daily diffuse solar radiation over India , 2009 .

[36]  Yong Q. Tian,et al.  Estimating solar radiation on slopes of arbitrary aspect , 2001 .

[37]  Michael H. Unsworth,et al.  Standard distributions of clear sky radiance , 1977 .