We analyze Singapore global horizontal irradiance (GHI) measurements and propose a clear sky GHI model for equatorial regions. The empirical formulation simplifies the atmosphere radiative transfer to a single exponential term. The results are benchmarked using locally collected data. Two applications of the clear sky model are briefly discussed.

References

1.
Ineichen
,
P.
,
2008
, “
A Broadband Simplified Version of the Solis Clear Sky Model
,”
Sol. Energy
,
82
, pp.
758
762
.10.1016/j.solener.2008.02.009
2.
Haurwitz
,
B.
,
1945
, “
Insolation in Relation to Cloudiness and Cloud Density
,”
J. Meteorol.
,
2
, pp.
154
164
.10.1175/1520-0469(1945)002<0154:IIRTCA>2.0.CO;2
3.
Haurwitz
,
B.
,
1946
, “
Insolation in Relation to Cloud Type
,”
J. Meteorol.
,
3
, pp.
123
124
.10.1175/1520-0469(1946)003<0123:IIRTCT>2.0.CO;2
4.
Ianetz
,
A.
, and
Kudish
,
A.
,
2008
, “
A Method for Determining the Solar Global and Defining the Diffuse and Beam Irradiation on a Clear Day
,”
Modeling Solar Radiation at the Earth's Surface
,
V.
Badescu
, ed.,
Springer-Verlag
,
Berlin
, pp.
93
113
.
5.
Kasten
,
F.
, and
Czeplak
,
G.
,
1980
, “
Solar and Terrestrial Radiation Dependent on the Amount and Type of Clouds
,”
Sol. Energy
,
24
, pp.
177
189
.10.1016/0038-092X(80)90391-6
6.
Robledo
,
L.
, and
Soler
,
A.
,
2000
, “
Luminous Efficacy of Global Solar Radiation for Clear Skies
,”
Energy Convers. Manage.
,
41
, pp.
1769
1779
.10.1016/S0196-8904(00)00019-4
7.
Bird
,
R. E.
, and
Hulstrom
,
R. L.
,
1980
, “
Direct Isolation Models
,” Technical Report No. SERI/TR-335-344.
8.
Ineichen
,
P.
, and
Perez
,
R.
,
2002
, “
A New Air Mass Independent Formulation for the Linke Turbidity Coefficient
,”
Sol. Energy
,
73
, pp.
151
157
.10.1016/S0038-092X(02)00045-2
9.
Gueymard
,
C.
,
1989
, “
A Two-Band Model for the Calculation of Clear Sky Solar Irradiance, Illuminance and Photosynthetically Active Radiation at the Earth Surface
,”
Sol. Energy
,
43
, pp.
252
265
.10.1016/0038-092X(89)90113-8
10.
Yang
,
K.
,
Huang
,
G. W.
, and
Tamai
,
N.
,
2001
, “
A Hybrid Model for Estimating Global Solar Radiation
,”
Sol. Energy
,
70
, pp.
13
22
.10.1016/S0038-092X(00)00121-3
11.
Badescu
,
V.
,
1997
, “
Verification of Some Very Simple Clear and Cloudy Sky Models to Evaluate Global Solar Irradiance
,”
Sol. Energy
,
61
, pp.
251
264
.10.1016/S0038-092X(97)00057-1
12.
Ineichen
,
P.
,
2006
, “
Comparison of Eight Clear Sky Broadband Models Against 16 Independent Data Banks
,”
Sol. Energy
,
80
, pp.
468
478
.10.1016/j.solener.2005.04.018
13.
Ianetz
,
A.
,
Lyubansky
,
V.
,
Setter
,
I.
,
Kriheli
,
B.
,
Evseev
,
E. G.
, and
Kudish
,
A. I.
,
2007
, “
Intercomparison of Different Models for Estimating Clear Sky Solar Global Radiation for the Negev Region of Israel
,”
Energy Convers. Manage.
,
48
, pp.
259
268
.10.1016/j.enconman.2006.04.006
14.
Lefèvre
,
M.
,
Oumbe
,
A.
,
Blanc
,
P.
,
Espinar
,
B.
,
Gschwind
,
B.
,
Qu
,
Z.
,
Wald
,
L.,
Schroedter-Homscheidt
,
M.
,
Hoyer-Klick
,
C.
,
Arola
,
A.
,
Benedetti
,
A.
,
Kaiser
,
J. W.
, and
Morcrette
,
J.-J.
,
2013
, “
Mcclear: A New Model Estimating Downwelling Solar Radiation at Ground Level in Clear-Sky Conditions
,”
Atmos. Meas. Tech.
,
6
(
9
), pp.
2403
2418
.10.5194/amt-6-2403-2013
15.
Yang
,
D.
,
Dong
,
Z.
,
Reindl
,
T.
,
Jirutitijaroen
,
P.
, and
Walsh
,
W. M.
,
2014
, “
Solar Irradiance Forecasting Using Spatio-Temporal Empirical Kriging and Vector Autoregressive Models With Parameter Shrinkage
,”
Sol. Energy
(in press).
16.
Dong
,
Z.
,
Yang
,
D.
,
Reindl
,
T.
, and
Walsh
,
W. M.
,
2014
, “
Satellite Image Analysis and a Hybrid ESSS/ANN Model to Forecast Solar Irradiance in the Tropics
,”
Energy Convers. Manage.
,
79
, pp.
66
73
.10.1016/j.enconman.2013.11.043
17.
Yang
,
D.
,
Gu
,
C.
,
Dong
,
Z.
,
Jirutitijaroen
,
P.
,
Chen
,
N.
, and
Walsh
,
W. M.
,
2013
, “
Solar Irradiance Forecasting Using Spatial-Temporal Covariance structures and Time-Forward Kriging
,”
Renewable Energy
,
60
, pp.
235
245
.10.1016/j.renene.2013.05.030
18.
Yang
,
D.
,
Dong
,
Z.
,
Nobre
,
A.
,
Khoo
,
Y. S.
,
Jirutitijaroen
,
P.
, and
Walsh
,
W. M.
,
2013
, “
Evaluation of Transposition and Decomposition Models for Converting Global Solar Irradiance From Tilted Surface to Horizontal in Tropical Regions
,”
Sol. Energy
,
97
, pp.
369
387
.10.1016/j.solener.2013.08.033
19.
Janjai
,
S.
,
Sricharoen
,
K.
, and
Pattarapanitchai
,
S.
,
2011
, “
Semi-Empirical Models for the Estimation of Clear Sky Solar Global and Direct Normal Irradiances in the Tropics
,”
Appl. Energy
,
88
, pp.
4749
4755
.10.1016/j.apenergy.2011.06.021
20.
Gueymard
,
C
.,
2009
, “
Monthly Average Clear-Sky Broadband Irradiance Database for Worldwide Solar Heat Gain and Building Cooling Load Calculations
,”
Sol. Energy
,
83
, pp.
1998
2018
.10.1016/j.solener.2009.07.011
21.
Gueymard
,
C. A.
,
2012
, “
Clear-Sky Irradiance Predictions for Solar Resource Mapping and Large-Scale Applications: Improved Validation Methodology and Detailed Performance Analysis of 18 Broadband Radiative Models
,”
Sol. Energy
,
86
(
8
), pp.
2145
2169
.10.1016/j.solener.2011.11.011
22.
Perez
,
R.
,
Ineichen
,
P.
,
Seals
,
R.
,
Michalsky
,
J.
, and
Stewart
,
R.
,
1990
, “
Modeling Daylight Availability and Irradiance Components From Direct and Global Irradiance
,”
Sol. Energy
,
44
(
5
), pp.
271
289
.10.1016/0038-092X(90)90055-H
23.
Pattanasethanon
,
S.
,
Lertsatitthanakorn
,
C.
,
Atthajariyakul
,
S.
, and
Soponronnarit
,
S.
,
2007
, “
All Sky Modeling Daylight Availability and Illuminance/Irradiance on Horizontal Plane for Mahasarakham, Thailand
,”
Energy Convers. Manage.
,
48
(
5
), pp.
1601
1614
.10.1016/j.enconman.2006.11.012
24.
Perez
,
R.
,
Seals
,
R.
, and
Michalsky
,
J.
,
1993
, “
All-Weather Model for Sky Luminance Distribution, Preliminary Configuration and Validation
,”
Sol. Energy
,
50
(
3
), pp.
235
245
.10.1016/0038-092X(93)90017-I
25.
Lave
,
M.
, and
Kleissl
,
J.
,
2010
, “
Solar Variability of Four Sites Across the State of Colorado
,”
Renewable Energy
,
35
, pp.
2867
2873
.10.1016/j.renene.2010.05.013
26.
Box
,
G. E. P.
,
Jenkins
,
G. M.
, and
Reinsel
,
G. C.
,
1994
,
Time Series Analysis: Forecasting and Control
,
Prentice Hall, Inc.
,
Englewood Cliffs, New Jersey
.
27.
Dong
,
Z.
,
Yang
,
D.
,
Reindl
,
T.
, and
Walsh
,
W. M.
,
2013
, “
Short-Term Solar Irradiance Forecasting Using Exponential Smoothing State Space Model
,”
Energy
,
55
, pp.
1104
1113
.10.1016/j.energy.2013.04.027
28.
Yang
,
D.
,
Jirutitijaroen
,
P.
, and
Walsh
,
W. M.
,
2012
, “
Hourly Solar Irradiance Time Series Forecasting Using Cloud Cover Index
,”
Sol. Energy
,
86
(
12
), pp.
3531
3543
.10.1016/j.solener.2012.07.029
29.
Wu
,
J.
, and
Chan
,
C. K.
,
2011
, “
Prediction of Hourly Solar Radiation Using a Novel Hybrid Model of ARMA and TDNN
,”
Sol. Energy
,
85
, pp.
808
817
.10.1016/j.solener.2011.01.013
30.
Dickey
,
D. A.
, and
Fuller
,
W. A.
,
1981
, “
Likelihood Ratio Statistics for Autoregressive Time Series With a Unit Root
,”
Econometrica
,
49
, pp.
1057
1072
.10.2307/1912517
31.
Haslett
,
J.
, and
Raftery
,
A. E.
,
1989
, “
Space-Time Modelling With Long-Memory Dependence: Assessing Ireland's Wind Power Resource
,”
J. R. Stat. Soc. Ser. C
,
38
(
1
), pp.
1
50
.
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