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EVALUATION OF PROCEDURES TO IMPROVE SOLAR RESOURCE ASSESSMENTS:
OPTIMUM USE OF SHORT-TERM DATA FROM A LOCAL WEATHER STATION TO COR-
RECT BIAS IN LONG-TERM SATELLITE DERIVED SOLAR RADIATION TIME SERIES
Christian A. Gueymard
Solar Consulting Services
P.O. Box 392
Colebrook, NH 03576
Chris@SolarConsultingServices.com
William T. Gustafson
Gwendalyn Bender
Andrew Etringer
Pascal Storck, PhD
3TIER Inc
2001 6th
Ave, Suite 2100
Seattle WA 98125
info@3tier.com
ABSTRACT
In this paper, two methods are reviewed and tested for sig-
nificantly reducing solar power production estimation er-
rors, and thus improving bankability, by combining long-
term, satellite derived irradiance time series with available
short-term observations. The first method consists of cor-
recting the modeled clear-sky irradiance data using local
aerosol optical characteristics data. This method has been
previously shown to be effective at removing the bias in
time series of Direct Normal Irradiance (DNI) at hazy loca-
tions experiencing large aerosol optical depth (AOD). The
second method consists of correcting bias out of independ-
ent satellite modeled data using on-site ground observations
through a Model Output Statistics (MOS) correction. The
essential question to answer is: How does one extend the
record of short-term observations using satellite data? The
significant findings obtained here can help resolve this ques-
tion. The positive effects of these methods on bankability
are also discussed.
1. AOD CORRECTION METHODOLOGY
Recent research results [1] have shown that many satellite-
derived hourly time series of DNI could have significant
monthly and/or annual bias when compared to high-quality
irradiance measurements. This was found to be particularly
the case in regions bordering the Sahara, where high dust
aerosol loads are frequent. This load, measured here with
the AOD, can be monitored with sunphotometers from the
ground, or from spaceborne spectrometers, such as MODIS.
More recently [2], it was shown that AOD is normally the
driving factor behind the daily variability in DNI, and to a
lesser extent, to that in Global Horizontal Irradiance (GHI).
At high-AOD (or “hazy”) locations, such as over or around
deserts in Africa and Asia, DNI was found particularly sen-
sitive to AOD [2]. Therefore, to obtain high accuracy and
low bias in modeled estimates of DNI or GHI over these re-
gions, the AOD data used as inputs by radiative models
must have the lowest bias possible.
A correction method based on ground observations of AOD
and predictions with the high-performance REST2 model
[3] was introduced in [1], and showed generally good results
over the Saharan region. Due to the scarcity of world sites
conducting ground observations of AOD, particularly near
sites of high interest for solar power production develop-
ments, a generalization of this correction method needs to
be based on large-scale AOD datasets rather than site-
specific data. For the present analysis, a new dataset, SOL-
SUN, is used for that purpose. It covers the world at
0.5x0.5° spatial resolution, and provides the necessary aero-
sol inputs to REST2 or other radiative models at monthly
intervals, between 2000 and 2011 [4]. These inputs are Ång-
ström’s AOD at 1 µm, ß, and the Ångström exponent, α,
which relates the AOD at various wavelengths. For instance,
the AOD at 550 nm, τa550, which is the primary output of
most current spaceborne sensors, is related to ß and α ac-
cording to:
τa550 = ß 0.55
-α
. (1)
In this study, the potential of the AOD correction method
developed in [1] is demonstrated at Sede Boker—a site
where most modeled DNI data series were found highly bi-
ased. For instance, the 3TIER long-term average raw satel-
lite data series were found to underestimate DNI by ≈5–20%
depending on the month [1]. The AOD data used by 3TIER
are derived (and corrected) from MODIS. Figure 1 shows a
comparison of the monthly AOD between reference ground
observations (AERONET), SOLSUN, and MODIS, during
the period 1998–2010. Before 2000, the SOLSUN climatol-
ogy is used, which explains the identical monthly values in
1998 and 1999. It is obvious that MODIS overestimates
AOD most of the time at that site, particularly in summer.
This is the likely cause of underestimation of DNI in the
3TIER and other data providers’ data series, noted in [1].
0.00
0.10
0.20
0.30
0.40
0.50
0.60
1998 2000 2002 2004 2006 2008 2010
Sede Boker, Israel
Gridded Data vs. Ground Truth
1998–2010Observations
SOLSUN
MODIS Terra
MonthlyAOD@550nm
Month
Fig. 1: SOLSUN and MODIS databases vs. ground observa-
tions: monthly AOD at Sede Boker, Israel.
A large monthly and interannual variability in AOD is obvi-
ous in Fig. 1. The daily variability is even larger, and seri-
ously impacts daily or hourly DNI or GHI predictions [2].
Currently, SOLSUN is limited to monthly values. Daily
values would be desirable, particularly at dust-impacted
sites such as Sede Boker. Therefore, the AOD correction
method described below will only reach its full potential
when accurate daily AOD data become widely available.
In addition to monthly values of ß and α, the method uses
monthly values of precipitable water (PW), derived from
MODIS observations. As with AOD, daily or sub-daily PW
data, such as that now provided by some reanalysis datasets,
would be desirable. Other inputs to REST2, such as atmos-
pheric pressure, column ozone amount, column nitrogen di-
oxide amount, aerosol single-scattering albedo, and surface
albedo have only a small effect on DNI and GHI, and inter-
polated monthly-mean values or default values are thus
used. All the monthly values are subjected to a cubic spline
interpolation, so that their smoothed hourly values can be
obtained over the whole period of interest.
Hourly DNI and GHI outputs of the REST2 model are then
compared to the clear-sky DNI and GHI estimates from the
3TIER model. A correction factor, Rc, is thus obtained:
Rc = IcREST2 / Ic3TIER (2)
where Ic is the clear-sky irradiance (DNI or GHI) obtained
by either the REST2 or 3TIER model. (The latter is a pro-
duction model, which would make any direct spatial or tem-
poral correction to its AOD input data impractical.) A value
of Rc highly different from 1 indicates a strong correction,
and therefore the use of a highly biased AOD dataset during
the original production of the modeled time series. These
original all-sky irradiances (DNI or GHI), I, can then be cor-
rected by multiplying each of their hourly occurrences with
Rc. The hourly AOD-corrected irradiance is therefore:
Icorr = I Rc. (3)
2. AOD CORRECTION RESULTS
Radiometric measurements are available at Sede Boker from
BSRN since 2003. For the period 1998–2002, local observa-
tions of DNI and GHI were obtained from the Negev solar
project [Pers. comm. with Dr. David Faiman). Both stations
use thermopiles, and thus provide compatible data. The dai-
ly trace of Ic should coincide with the envelope of the daily
all-sky irradiation measurements, since these peak values
normally correspond to cloudless conditions. Figure 2 (for
DNI) and Fig. 3 (for GHI), each obtained for a typical year,
demonstrate that this is actually not the case. The trace of
each model’s Ic predictions is much smoother than the daily
observations, suggesting that the use of monthly values for
AOD and PW is far from optimal, even with cubic spline
interpolation. These two figures also confirm the substantial
underestimation of the 3TIER clear-sky model, compared to
REST2 or the envelope of the daily measured data. Since
the all-sky irradiance is proportional to its ideal clear-sky
counterpart, any underestimation in the clear-sky model will
be reflected in the ultimate results, i.e., all-sky I.
0
2
3
5
7
9
10
12
0
2.4
4.8
7.2
9.6
12
0 80 160 240 320 400
Sede Boker
Daily-average DNI
2007
Observations (all sky)
Modeled (3Tier, clear sky)
Modeled (REST2, clear sky)
DailyDNI(kWh/m
2
)
beta
Day of 2007
Fig. 2: Daily DNI all sky observations at Sede Boker vs.
ideal clear-sky estimates of the 3TIER and REST2 models.
0
2
4
6
8
10
0
2
4
6
8
10
0 80 160 240 320 400
Sede Boker
Daily-average GHI
2007
Observations (all sky)
Modeled (3Tier, clear sky)
Modeled (REST2, clear sky)
DailyGHI(kWh/m
2
)
beta
Day of 2007
Fig. 3: Daily GHI all sky observations at Sede Boker vs.
ideal clear sky estimates of the 3TIER and REST2 models.
The performance of the correction method is illustrated in
Fig. 4. The reduction in annual bias is particularly important
in the case of DNI. This could be expected since DNI is
more sensitive to AOD than GHI. Before the DNI correc-
tion, the mean bias varied annually from -20.4% to -12.5%.
It becomes -0.5% to 7.5% after correction. Similar results
for GHI are -7.5% to -3.9% before correction, and 0.7% to
3.6% after correction. Annual mean values of Rc (expressed
here in percent) are also displayed in Fig. 4. Rc is about 3
times larger in the case of DNI than GHI. Besides a system-
atic reduction of the bias, the random errors in hourly all-
sky irradiances are also reduced, but not as dramatically.
Tests of the correction method undertaken at cleaner (low
AOD) sites generally show a slight improvement in bias.
Depending on the possible compensation or errors between
AOD and cloud transmittance, the AOD correction method
may occasionally overcorrect. Hence, most generally, the
AOD correction method is intended for use only at sites
where AOD is known to be high, and where local DNI
measurements confirm a significant bias between such
ground truth and long-term modeled time series. Since sea-
sonal effects are likely [1], at least one year of local meas-
urements should be used to assess the aerosol situation.
3. MOS-CORRECTION METHODOLOGY
For utility-scale solar projects 3TIER uses on-site observa-
tional data to validate and correct its raw satellite modeled
data via a process called Model Output Statistics (MOS).
3TIER’s proprietary MOS technique uses a multi-linear re-
gression equation to remove bias and adjust the variance of
the raw satellite modeled output to better match the observa-
tional data. This method has been successfully applied in the
wind power industry for many years and that experience is
now being applied to the solar power industry.
-40
-30
-20
-10
0
10
15
25
35
45
55
65
75
1998 2000 2002 2004 2006 2008 2010
Sede Boker
Annual bias
DNI
Before correction
After correction
DNI
AnnualMBE(%)
Meanannualcorrection(%)
Year
Avg.
-40
-30
-20
-10
0
10
0
10
20
30
40
50
60
1998 2000 2002 2004 2006 2008 2010
Sede Boker
Annual bias
GHI
Before correction
After correction
GHI
AnnualMBE(%)
Meanannualcorrection(%)
Year
Avg.
Fig. 4: Annual bias in the all-sky DNI and GHI irradiance
data before and after AOD correction. The red line shows
the mean annual amount of correction.
The MOS technique is optimized to fit the satellite-derived
data to short-term fluctuations. This approach uses multiple
statistical parameters to better match modeled data to diur-
nal or hourly variability at the site. The technique provides
excellent results, yet avoids over fitting modeled data to ob-
servations—a common result of standard non-linear algo-
rithms.
The MOS equation for each observation station is trained
over the observational period of record. The equation is then
appropriately applied for all time steps of the satellite mod-
eled dataset, so that corrections can be made for periods dur-
ing which direct observational data are unavailable.
Performing MOS-correction has a high value because it cap-
tures the unique characteristics of a site through on-site ob-
servations and places them into the long-term historical per-
spective provided by satellite modeled data.
Hourly observations from five sites were used in this study
in order to compare the efficacy of the MOS-correction
technique in different climates and satellite regimes. Sta-
tions from the SURFRAD and BSRN networks were se-
lected as the test sites. As part of this study we also wanted
to evaluate the length of on-site data necessary to positively
impact the MOS-correction. To test this minimum observa-
tional length, the observations were broken into 3, 6, 9 and
12 month periods, based on calendar months. These obser-
vations were compared to the corresponding data from the
satellite dataset and various weather inputs. Then an overall
statistical correction was derived based on multiple inputs,
and a correction based on mean variance for each hour and
month was applied.
These corrections were then applied to the full satellite
dataset, and compared to the observations for the full year
periods that were independent of the observations. For ex-
ample in the case of Desert Rock, presented in Figs. 5 and 6,
observations from 1999-2009 were used, and compared to
full years from 1999-2011. A total of 170 models were gen-
erated (44 3-month periods, 43 6-month periods, 42 9-
month periods, and 41 12-month periods). Each year from
1999-2011 was compared, excluding the years where the
ground observations were used for the model (for a total of
528 3-month comparisons, 506 6-month, 484 9-month, and
462 12-month).
Two versions of the model were compared, for the 3, 6 and
9-month periods: one "naive" version where the statistical
correction was applied blindly across the entire year, and
one "conservative" version where it was only applied for
those months in which the original observations existed.
Figure 5 shows the annual bias error for Desert Rock with
the satellite dataset represented by the “0 month” of obser-
vations. Also represented are the two model versions, the
“naïve” represented by the purple quartiles on the left and
the “conservative” represented by the blue quartiles on the
right for the various periods of ground observations used (3,
6, 9, and 12 months). In Fig.5 the conservative correction
method clearly produces results that have smaller annual
bias differences than the naïve method. The tipping point for
the number of months of ground observations necessary to
positively reduce the bias in the correction appears to be ≈9
months. With 9 and 12 months of observations, little to no
bias reduction in the resulting dataset can be produced. Note
that the two correction methods are the same at 12 months.
Figure 6 shows similar information for the hourly RMS
(Root Mean Squared error) values compared on an annual
basis at Desert Rock. Unsurprisingly, the naive correction
method overcorrects the bias error and has a lot of scatter in
both bias and RMS for the 3 and 6-month periods. These
RMS results reinforce the idea that using 9 months of ob-
servations is the minimum that can be applied throughout
the year using the naïve method, since such a period im-
proves both the bias and RMS compared to the conservative
method, albeit with a slight increase in scatter in the RMS
results. In all cases, having 12 months of observations is
better than any shorter period, as could be expected.
Fig. 5: Annual percent bias difference for MOS-correction
of DNI trained on 0, 3, 6, 9 and 12 months of observations
at Desert Rock from 1999-2011. The “naïve” correction
method is represented by the purple quartiles on the left and
the “conservative” method is represented by the blue quarti-
les on the right.
Generally similar results are found at the other four sites,
although the degree of improvement from the MOS-
correction varies. For locations where most years of the sat-
ellite dataset are biased in the same way, more improvement
is obtained than at locations where the bias is scattered year-
to-year. Almost all sites show improvement in RMS, with
the exception of Carpentras where the satellite RMS is rela-
tively low to begin with. Even at Carpentras there is im-
provement in the mean bias difference.
4. REGIONAL MOS-CORRECTION RESULTS
REGIONAL CASE STUDY SITE 1: Desert Rock, USA
The results for Desert Rock suggest the MOS-correction
may be over fitting for the training period, but also, that the
correction has skill outside of the period of overlap between
the observations used and the satellite record. Figure 7
shows the DNI MOS-correction results using 12 months of
observations from 2009. The figure shows the raw satellite
modeled data, in blue, the ground observations from the
SURFRAD station, in black, and the corrected results, in
orange. This figure is repeated for each of the five study
sites for comparison.
Fig. 6: Hourly RMS for MOS-correction of DNI trained on
0, 3, 6, 9 and 12 months of observations at Desert Rock
from 1999-2011. See Fig. 5 for color symbols.
Direct Normal Irradiance
1 2 3 4 5 6 7 8 9 10 11 12
Month
2009
400
440
480
520
560
600
640
680
720
760
800
840
880
W/m2
Ground
Raw satellite
MOS−corrected
Figure 7: DNI values in W/m2
for MOS-correction results
for the training year (2009) at Desert Rock.
Table 1 shows the modeled data error as a percent of the
mean for the MOS-correction training year and one addi-
tional year outside of the training period (the “Blind Com-
parison”). This is calculated using the RMS error, averaged
over daylight hours only, of monthly-mean MOS-corrected
DNI. For months where we do not have measured data the
standard model error is used. The standard model error
value used as the base uncertainty for all five sites, repre-
sented by the 0 month, was calculated based on a validation
of the 3TIER satellite dataset compared to over 40 ground
stations globally [1]. This table is repeated for each of the
five study sites for comparison.
TABLE 1: Modeled data error for DNI at Desert Rock as a
percent of the mean for the MOS-correction training year
(2009) and one other year outside of the training period (2011).
Length of
Observations
Training Year
Uncertainty
Blind Comparison
Uncertainty
0 months 9.0 9.0
3 months 7.01 7.86
6 months 4.83 6.29
9 months 2.61 4.23
12 months 0.58 2.43
REGIONAL CASE STUDY SITE 2: Sede Boker, Israel
At Sede Boker the satellite data matches the seasonal cycle
but has a clear low bias. The MOS-correction removes this
bias as shown in Fig. 8 and improves the RMS error as seen
in Table 2.
Direct Normal Irradiance
1 2 3 4 5 6 7 8 9 10 11 12
Month
2007
280
320
360
400
440
480
520
560
600
640
680
720
760
800
W/m2
Ground
Raw satellite
MOS−corrected
Fig. 8: DNI values in W/m2
for MOS-correction results for
the training year (2007) at Sede Boker.
TABLE 2: Modeled data error for DNI at Sede Boker as per-
cent of the mean for the MOS-correction training year (2008)
and one additional year outside of the training period (2009).
Length of
Observations
Training Year
Uncertainty
Blind Comparison
Uncertainty
0 month 9.0 9.0
3 months 6.91 7.39
6 months 4.76 5.68
9 months 2.43 3.59
12 months 0.44 1.08
REGIONAL CASE STUDY SITE 3: Carpentras, France
Direct Normal Irradiance
1 2 3 4 5 6 7 8 9 10 11 12
Month
2008
200
240
280
320
360
400
440
480
520
560
600
640
680
W/m2
Ground
Raw satellite
MOS−corrected
Fig. 9: DNI values in W/m2
for MOS-correction results for
the training year (2008) at Carpentras.
As mentioned previously the MOS-correction improves the
mean bias at Carpentras, demonstrated in Fig. 9 above, but
not the RMS because the satellite RMS is relatively low to
begin with, as demonstrated in Table 3.
TABLE 3: Modeled data error for DNI at Carpentras as a per-
cent of the mean for the MOS-correction training year (2008)
and one additional year outside of the training period (2009).
Length of
Observations
Training Year
Uncertainty
Blind Comparison
Uncertainty
0 month 9.0 9.0
3 months 6.86 7.12
6 months 4.75 5.28
9 months 2.50 3.34
12 months 0.48 1.52
The Carpentras site shows that in locations where the raw
satellite data are already very good there is still improve-
ment in uncertainty to be gained through MOS-correction,
but it is not as crucial as at some other locations.
REGIONAL CASE STUDY SITE 4: Solar Village, Saudi
Arabia
A site like Solar Village shows how crucial a correction can
be. In this case the satellite modeled data needs improve-
ment both in its seasonal signal and in bias. The MOS-
correction improves both cases.
Direct Normal Irradiance
1 2 3 4 5 6 7 8 9 10 11 12
Month
2001
320
360
400
440
480
520
560
600
640
680
720
760
800
W/m2
Ground
Raw satellite
MOS−corrected
Fig. 10: DNI values in W/m2
for MOS-correction results for
a training year (2001) at Solar Village.
TABLE 4: Modeled data error for DNI at Solar Village as a
percent of the mean for the training year (2001) and one addi-
tional year outside of the training period (2002).
Length of
Observations
Training Year
Uncertainty
Blind Comparison
Uncertainty
0 month 9.0 9.0
3 months 6.90 7.48
6 months 5.00 5.53
9 months 2.85 3.71
12 months 0.80 3.40
The relatively high uncertainty in the year outside of the
training period is likely due to the fact that the MOS-
correction is improving the seasonal signal of the satellite
dataset but is still missing the dip in DNI values during the
month of May of the training period. This may result in
overestimating DNI for that time period throughout the
long-term record. However, as Fig. 10 clearly shows, the
MOS-correction is having a positive effect overall.
REGIONAL CASE STUDY SITE 5: Tamanrasset, Algeria
Tamanrasset is another site where the MOS-correction
clearly improves the bias in the satellite dataset, as shown in
Fig. 11, even though the uncertainty values are higher rela-
tive to a site like Desert Rock, as shown in Table 5.
For each of the five sites we decided to investigate if apply-
ing the MOS-correction using months from different sea-
sons had any impact on improving the uncertainty. Figure
12 shows how the annual bias percentage improves during
specific seasons using the conservative method for applying
the correction. For each site, the 3-month MOS models are
sorted by the starting month of the observations (Jan-Mar
are plotted in column 1, Apr-Jun in column 4 and so on).
These are the same comparison statistics used in Fig. 5,
where each year of MOS-corrected model output is com-
pared to observations for that year. Dependent periods,
where the MOS is drawn from the same year, are excluded
from the comparisons.
Direct Normal Irradiance
1 2 3 4 5 6 7 8 9 10 11 12
Month
2005
280
320
360
400
440
480
520
560
600
640
680
720
760
W/m2
Ground
Raw satellite
MOS−corrected
Fig. 11: DNI values in W/m2
for MOS-correction results for
the training year (2005) at Tamanrasset.
TABLE 5: Modeled data error for DNI at Tamanrasset as a
percent of the mean for the training year (2005) and one ad-
ditional year outside of the training period (2007).
Length of
Observa-
tions
Training Year
Uncertainty
Blind Comparison
Uncertainty
0 month 9.0 9.0
3 months 7.04 7.23
6 months 5.05 5.90
9 months 2.98 4.19
12 months 1.02 2.63
Desert Rock and Sede Boker show significantly better re-
sults for Apr-Jun, Carpentras slightly better, Tamanrasset
shows improvement in Jul-Sep, and Solar Village in Oct-
Dec. Our current explanation is that the signal is higher in
the Northern hemisphere summer due to latitude effects
(Carpentras is at 44°N, Desert Rock at 36°N, Sede Boker at
30°N, Solar Village at 24°N, and Tamanrasset at 22°N).
Operating on the time period when the signal is higher im-
proves the overall statistics. Comparisons between GHI
MOS models (where seasonal effects are much stronger)
show similar patterns.
To further investigate seasonality, the experiment should be
run with the MOS-correction starting on cross-quarter days
(i.e. centered on the solstices and equinoxes). Moreover, us-
ing more sites including some south of the equator, and sites
with strong seasonal effects, such as in India during the
monsoon, should be considered. This may be the subject of
future work.
Fig. 12: Annual percent bias difference in DNI MOS cor-
rected by season using the conservative methodology.
5. PRACTICAL APPLICATIONS FOR FINANCING
As part of this study we looked at the effects of performing
a long-term dataset correction with short-term ground ob-
servations on reducing uncertainty in Probability of Exceed-
ance Values. A 1-year P90 value indicates the production
value that the annual solar resource will exceed 90% of the
time. This is a common value financiers use to assign a level
of risk associated with a particular project. It is directly tied
to the finance rates available for project financing.
A 1-year P90 value (as opposed to a 10-year P90 value) is
typically mandatory in project financing because if power
production decreases significantly in a given year due to so-
lar resource variability, debt on the project is at risk of being
defaulted. The only way to determine 1-year P90, or higher,
values acceptable to funding institutions is with long-term
continuous data at the proposed site.
Using the uncertainty values presented in Section 4, we
looked at the effect of reducing uncertainty on a set of stan-
dard P-values. We combine those standard model errors
with an estimate of the variability for any single year based
on the corrected long-term dataset to create a 1-year pooled
uncertainty estimate. Assuming that annual average values
are normally distributed, the pooled uncertainty results in 1-
year P-values (P50, P75, P90, P95) using a formula like the
one below for Desert Rock:
MOS-corrected DNI 1-yr P90 w/ 6 months of observations
= P50 - 1.282 x (7.93 / 100) x P50 = 2436 kWh/m2
per yr
Table 6 shows the resulting P-values for Desert Rock using
the more conservative blind comparison uncertainty esti-
mates. The table shows that as model uncertainties are re-
duced by using more months of ground observation in the
MOS-correction, the annual estimates of irradiance for each
of the P-values tends to increase. For most projects if they
get below a certain annual average resource, the project be-
comes non-viable financially. That minimum value varies
for different technologies. Having a P90 value above that
threshold is critical.
TABLE 6: 1-year MOS-corrected DNI P-values in kWh/m2
per year for Desert Rock from blind comparison (2011) pe-
riod.
Length of
Observations
P50 P75 P90 P95
0 month 2613 2433 2270 2173
3 months 2603 2441 2295 2207
6 months 2712 2567 2436 2358
9 months 2790 2677 2576 2516
12 months 2728 2649 2577 2535
Table 7 below presents the same results for Tamanrasset.
These results show that even for a location like Tamanras-
set, where the uncertainty estimates were not as low as De-
sert Rock, performing the correction using multiple months
of ground observations has a positive effect in raising the P-
values in most cases.
TABLE 7: 1-year MOS-corrected DNI P-values in kWh/m2
for
Tamanrasset from blind comparison (2007) period.
Length of
Observations
P50 P75 P90 P95
0 month 2477 2320 2179 2095
3 months 2509 2378 2260 2189
6 months 2423 2316 2220 2162
9months 2366 2285 2212 2168
12 months 2351 2289 2233 2199
6. CONCLUSION
Satellite derived irradiance data are very useful for under-
standing the long-term context of the solar resource at pro-
ject sites. However, this information is not always optimally
correlated to local conditions, particularly in locations that
see high aerosol loads. Taking on-site measurements for a
year or more whenever possible is critical to mitigating re-
source related risk for solar projects. Since most on-site ob-
servations provide quality observations, but only for a short
period of time, it becomes necessary to extend the resource
data record in order to understand interannual variability.
This paper showed two methods for correcting long-term
satellite data with short-term high quality observations. The
first method performs a clear-sky AOD correction based on
the high resolution SOLSUN aerosol dataset. This correc-
tion can be correlated with ground observations of AOD if
they are available. The advantage of this method is that on-
site observations of AOD are not necessary. However, local
DNI observations are necessary during about one year, since
it must first be ascertained that satellite-derived data series
are highly biased.
The second method performs a MOS correction based on
on-site observations and investigated the optimal amount of
ground observations necessary to improve the correction.
With 6-9 months of on-site data or more there is a signifi-
cant reduction in the bias and RMS errors in the long-term
satellite data. Interestingly, no appreciable reduction in
modeled irradiance bias can be obtained with DNI observa-
tions periods longer than about 9 months.
Both correction methods demonstrate skill and reduce the
risk associated with variable generation power projects such
as large solar installations. This provides project developers
multiple robust methodologies for gaining high quality
long-tem irradiance datasets, which can be used to improve
the quality of production estimates.
7. REFERENCES
(1) C.A. Gueymard, Uncertainties in Modeled Direct Irra-
diance Around the Sahara as Affected by Aerosols: Are
Current Datasets of Bankable Quality? Trans. ASME
J. Solar Energy Engng., 133, 031024 (2011).
(2) C.A. Gueymard, Temporal variability in direct and
global irradiance at various time scales as affected by
aerosols. Solar Energy, in press (2012).
(3) C.A. Gueymard, REST2: High performance solar radia-
tion model for cloudless-sky irradiance, illuminance and
photosynthetically active radiation—Validation with a
benchmark dataset. Solar Energy, 82, 272-285 (2008).
(4) C.A. Gueymard, A globally calibrated aerosol optical
depth gridded dataset for improved solar irradiance
predictions. Geophys. Research Abstr. (2012).
(5) “3TIER Global Solar Validation: Methodology and
Validation” (2010) http://gurl.im/ec6eqv

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Evaluation of procedures to improve solar resource assessments presented WREF 2012

  • 1. EVALUATION OF PROCEDURES TO IMPROVE SOLAR RESOURCE ASSESSMENTS: OPTIMUM USE OF SHORT-TERM DATA FROM A LOCAL WEATHER STATION TO COR- RECT BIAS IN LONG-TERM SATELLITE DERIVED SOLAR RADIATION TIME SERIES Christian A. Gueymard Solar Consulting Services P.O. Box 392 Colebrook, NH 03576 Chris@SolarConsultingServices.com William T. Gustafson Gwendalyn Bender Andrew Etringer Pascal Storck, PhD 3TIER Inc 2001 6th Ave, Suite 2100 Seattle WA 98125 info@3tier.com ABSTRACT In this paper, two methods are reviewed and tested for sig- nificantly reducing solar power production estimation er- rors, and thus improving bankability, by combining long- term, satellite derived irradiance time series with available short-term observations. The first method consists of cor- recting the modeled clear-sky irradiance data using local aerosol optical characteristics data. This method has been previously shown to be effective at removing the bias in time series of Direct Normal Irradiance (DNI) at hazy loca- tions experiencing large aerosol optical depth (AOD). The second method consists of correcting bias out of independ- ent satellite modeled data using on-site ground observations through a Model Output Statistics (MOS) correction. The essential question to answer is: How does one extend the record of short-term observations using satellite data? The significant findings obtained here can help resolve this ques- tion. The positive effects of these methods on bankability are also discussed. 1. AOD CORRECTION METHODOLOGY Recent research results [1] have shown that many satellite- derived hourly time series of DNI could have significant monthly and/or annual bias when compared to high-quality irradiance measurements. This was found to be particularly the case in regions bordering the Sahara, where high dust aerosol loads are frequent. This load, measured here with the AOD, can be monitored with sunphotometers from the ground, or from spaceborne spectrometers, such as MODIS. More recently [2], it was shown that AOD is normally the driving factor behind the daily variability in DNI, and to a lesser extent, to that in Global Horizontal Irradiance (GHI). At high-AOD (or “hazy”) locations, such as over or around deserts in Africa and Asia, DNI was found particularly sen- sitive to AOD [2]. Therefore, to obtain high accuracy and low bias in modeled estimates of DNI or GHI over these re- gions, the AOD data used as inputs by radiative models must have the lowest bias possible. A correction method based on ground observations of AOD and predictions with the high-performance REST2 model [3] was introduced in [1], and showed generally good results over the Saharan region. Due to the scarcity of world sites conducting ground observations of AOD, particularly near sites of high interest for solar power production develop- ments, a generalization of this correction method needs to be based on large-scale AOD datasets rather than site- specific data. For the present analysis, a new dataset, SOL- SUN, is used for that purpose. It covers the world at 0.5x0.5° spatial resolution, and provides the necessary aero- sol inputs to REST2 or other radiative models at monthly intervals, between 2000 and 2011 [4]. These inputs are Ång- ström’s AOD at 1 µm, ß, and the Ångström exponent, α, which relates the AOD at various wavelengths. For instance, the AOD at 550 nm, τa550, which is the primary output of most current spaceborne sensors, is related to ß and α ac- cording to: τa550 = ß 0.55 -α . (1) In this study, the potential of the AOD correction method developed in [1] is demonstrated at Sede Boker—a site where most modeled DNI data series were found highly bi- ased. For instance, the 3TIER long-term average raw satel- lite data series were found to underestimate DNI by ≈5–20% depending on the month [1]. The AOD data used by 3TIER are derived (and corrected) from MODIS. Figure 1 shows a comparison of the monthly AOD between reference ground
  • 2. observations (AERONET), SOLSUN, and MODIS, during the period 1998–2010. Before 2000, the SOLSUN climatol- ogy is used, which explains the identical monthly values in 1998 and 1999. It is obvious that MODIS overestimates AOD most of the time at that site, particularly in summer. This is the likely cause of underestimation of DNI in the 3TIER and other data providers’ data series, noted in [1]. 0.00 0.10 0.20 0.30 0.40 0.50 0.60 1998 2000 2002 2004 2006 2008 2010 Sede Boker, Israel Gridded Data vs. Ground Truth 1998–2010Observations SOLSUN MODIS Terra MonthlyAOD@550nm Month Fig. 1: SOLSUN and MODIS databases vs. ground observa- tions: monthly AOD at Sede Boker, Israel. A large monthly and interannual variability in AOD is obvi- ous in Fig. 1. The daily variability is even larger, and seri- ously impacts daily or hourly DNI or GHI predictions [2]. Currently, SOLSUN is limited to monthly values. Daily values would be desirable, particularly at dust-impacted sites such as Sede Boker. Therefore, the AOD correction method described below will only reach its full potential when accurate daily AOD data become widely available. In addition to monthly values of ß and α, the method uses monthly values of precipitable water (PW), derived from MODIS observations. As with AOD, daily or sub-daily PW data, such as that now provided by some reanalysis datasets, would be desirable. Other inputs to REST2, such as atmos- pheric pressure, column ozone amount, column nitrogen di- oxide amount, aerosol single-scattering albedo, and surface albedo have only a small effect on DNI and GHI, and inter- polated monthly-mean values or default values are thus used. All the monthly values are subjected to a cubic spline interpolation, so that their smoothed hourly values can be obtained over the whole period of interest. Hourly DNI and GHI outputs of the REST2 model are then compared to the clear-sky DNI and GHI estimates from the 3TIER model. A correction factor, Rc, is thus obtained: Rc = IcREST2 / Ic3TIER (2) where Ic is the clear-sky irradiance (DNI or GHI) obtained by either the REST2 or 3TIER model. (The latter is a pro- duction model, which would make any direct spatial or tem- poral correction to its AOD input data impractical.) A value of Rc highly different from 1 indicates a strong correction, and therefore the use of a highly biased AOD dataset during the original production of the modeled time series. These original all-sky irradiances (DNI or GHI), I, can then be cor- rected by multiplying each of their hourly occurrences with Rc. The hourly AOD-corrected irradiance is therefore: Icorr = I Rc. (3) 2. AOD CORRECTION RESULTS Radiometric measurements are available at Sede Boker from BSRN since 2003. For the period 1998–2002, local observa- tions of DNI and GHI were obtained from the Negev solar project [Pers. comm. with Dr. David Faiman). Both stations use thermopiles, and thus provide compatible data. The dai- ly trace of Ic should coincide with the envelope of the daily all-sky irradiation measurements, since these peak values normally correspond to cloudless conditions. Figure 2 (for DNI) and Fig. 3 (for GHI), each obtained for a typical year, demonstrate that this is actually not the case. The trace of each model’s Ic predictions is much smoother than the daily observations, suggesting that the use of monthly values for AOD and PW is far from optimal, even with cubic spline interpolation. These two figures also confirm the substantial underestimation of the 3TIER clear-sky model, compared to REST2 or the envelope of the daily measured data. Since the all-sky irradiance is proportional to its ideal clear-sky counterpart, any underestimation in the clear-sky model will be reflected in the ultimate results, i.e., all-sky I. 0 2 3 5 7 9 10 12 0 2.4 4.8 7.2 9.6 12 0 80 160 240 320 400 Sede Boker Daily-average DNI 2007 Observations (all sky) Modeled (3Tier, clear sky) Modeled (REST2, clear sky) DailyDNI(kWh/m 2 ) beta Day of 2007 Fig. 2: Daily DNI all sky observations at Sede Boker vs. ideal clear-sky estimates of the 3TIER and REST2 models.
  • 3. 0 2 4 6 8 10 0 2 4 6 8 10 0 80 160 240 320 400 Sede Boker Daily-average GHI 2007 Observations (all sky) Modeled (3Tier, clear sky) Modeled (REST2, clear sky) DailyGHI(kWh/m 2 ) beta Day of 2007 Fig. 3: Daily GHI all sky observations at Sede Boker vs. ideal clear sky estimates of the 3TIER and REST2 models. The performance of the correction method is illustrated in Fig. 4. The reduction in annual bias is particularly important in the case of DNI. This could be expected since DNI is more sensitive to AOD than GHI. Before the DNI correc- tion, the mean bias varied annually from -20.4% to -12.5%. It becomes -0.5% to 7.5% after correction. Similar results for GHI are -7.5% to -3.9% before correction, and 0.7% to 3.6% after correction. Annual mean values of Rc (expressed here in percent) are also displayed in Fig. 4. Rc is about 3 times larger in the case of DNI than GHI. Besides a system- atic reduction of the bias, the random errors in hourly all- sky irradiances are also reduced, but not as dramatically. Tests of the correction method undertaken at cleaner (low AOD) sites generally show a slight improvement in bias. Depending on the possible compensation or errors between AOD and cloud transmittance, the AOD correction method may occasionally overcorrect. Hence, most generally, the AOD correction method is intended for use only at sites where AOD is known to be high, and where local DNI measurements confirm a significant bias between such ground truth and long-term modeled time series. Since sea- sonal effects are likely [1], at least one year of local meas- urements should be used to assess the aerosol situation. 3. MOS-CORRECTION METHODOLOGY For utility-scale solar projects 3TIER uses on-site observa- tional data to validate and correct its raw satellite modeled data via a process called Model Output Statistics (MOS). 3TIER’s proprietary MOS technique uses a multi-linear re- gression equation to remove bias and adjust the variance of the raw satellite modeled output to better match the observa- tional data. This method has been successfully applied in the wind power industry for many years and that experience is now being applied to the solar power industry. -40 -30 -20 -10 0 10 15 25 35 45 55 65 75 1998 2000 2002 2004 2006 2008 2010 Sede Boker Annual bias DNI Before correction After correction DNI AnnualMBE(%) Meanannualcorrection(%) Year Avg. -40 -30 -20 -10 0 10 0 10 20 30 40 50 60 1998 2000 2002 2004 2006 2008 2010 Sede Boker Annual bias GHI Before correction After correction GHI AnnualMBE(%) Meanannualcorrection(%) Year Avg. Fig. 4: Annual bias in the all-sky DNI and GHI irradiance data before and after AOD correction. The red line shows the mean annual amount of correction. The MOS technique is optimized to fit the satellite-derived data to short-term fluctuations. This approach uses multiple statistical parameters to better match modeled data to diur- nal or hourly variability at the site. The technique provides excellent results, yet avoids over fitting modeled data to ob- servations—a common result of standard non-linear algo- rithms. The MOS equation for each observation station is trained over the observational period of record. The equation is then appropriately applied for all time steps of the satellite mod- eled dataset, so that corrections can be made for periods dur- ing which direct observational data are unavailable. Performing MOS-correction has a high value because it cap- tures the unique characteristics of a site through on-site ob-
  • 4. servations and places them into the long-term historical per- spective provided by satellite modeled data. Hourly observations from five sites were used in this study in order to compare the efficacy of the MOS-correction technique in different climates and satellite regimes. Sta- tions from the SURFRAD and BSRN networks were se- lected as the test sites. As part of this study we also wanted to evaluate the length of on-site data necessary to positively impact the MOS-correction. To test this minimum observa- tional length, the observations were broken into 3, 6, 9 and 12 month periods, based on calendar months. These obser- vations were compared to the corresponding data from the satellite dataset and various weather inputs. Then an overall statistical correction was derived based on multiple inputs, and a correction based on mean variance for each hour and month was applied. These corrections were then applied to the full satellite dataset, and compared to the observations for the full year periods that were independent of the observations. For ex- ample in the case of Desert Rock, presented in Figs. 5 and 6, observations from 1999-2009 were used, and compared to full years from 1999-2011. A total of 170 models were gen- erated (44 3-month periods, 43 6-month periods, 42 9- month periods, and 41 12-month periods). Each year from 1999-2011 was compared, excluding the years where the ground observations were used for the model (for a total of 528 3-month comparisons, 506 6-month, 484 9-month, and 462 12-month). Two versions of the model were compared, for the 3, 6 and 9-month periods: one "naive" version where the statistical correction was applied blindly across the entire year, and one "conservative" version where it was only applied for those months in which the original observations existed. Figure 5 shows the annual bias error for Desert Rock with the satellite dataset represented by the “0 month” of obser- vations. Also represented are the two model versions, the “naïve” represented by the purple quartiles on the left and the “conservative” represented by the blue quartiles on the right for the various periods of ground observations used (3, 6, 9, and 12 months). In Fig.5 the conservative correction method clearly produces results that have smaller annual bias differences than the naïve method. The tipping point for the number of months of ground observations necessary to positively reduce the bias in the correction appears to be ≈9 months. With 9 and 12 months of observations, little to no bias reduction in the resulting dataset can be produced. Note that the two correction methods are the same at 12 months. Figure 6 shows similar information for the hourly RMS (Root Mean Squared error) values compared on an annual basis at Desert Rock. Unsurprisingly, the naive correction method overcorrects the bias error and has a lot of scatter in both bias and RMS for the 3 and 6-month periods. These RMS results reinforce the idea that using 9 months of ob- servations is the minimum that can be applied throughout the year using the naïve method, since such a period im- proves both the bias and RMS compared to the conservative method, albeit with a slight increase in scatter in the RMS results. In all cases, having 12 months of observations is better than any shorter period, as could be expected. Fig. 5: Annual percent bias difference for MOS-correction of DNI trained on 0, 3, 6, 9 and 12 months of observations at Desert Rock from 1999-2011. The “naïve” correction method is represented by the purple quartiles on the left and the “conservative” method is represented by the blue quarti- les on the right. Generally similar results are found at the other four sites, although the degree of improvement from the MOS- correction varies. For locations where most years of the sat- ellite dataset are biased in the same way, more improvement is obtained than at locations where the bias is scattered year- to-year. Almost all sites show improvement in RMS, with the exception of Carpentras where the satellite RMS is rela- tively low to begin with. Even at Carpentras there is im- provement in the mean bias difference. 4. REGIONAL MOS-CORRECTION RESULTS REGIONAL CASE STUDY SITE 1: Desert Rock, USA The results for Desert Rock suggest the MOS-correction may be over fitting for the training period, but also, that the correction has skill outside of the period of overlap between the observations used and the satellite record. Figure 7 shows the DNI MOS-correction results using 12 months of observations from 2009. The figure shows the raw satellite modeled data, in blue, the ground observations from the
  • 5. SURFRAD station, in black, and the corrected results, in orange. This figure is repeated for each of the five study sites for comparison. Fig. 6: Hourly RMS for MOS-correction of DNI trained on 0, 3, 6, 9 and 12 months of observations at Desert Rock from 1999-2011. See Fig. 5 for color symbols. Direct Normal Irradiance 1 2 3 4 5 6 7 8 9 10 11 12 Month 2009 400 440 480 520 560 600 640 680 720 760 800 840 880 W/m2 Ground Raw satellite MOS−corrected Figure 7: DNI values in W/m2 for MOS-correction results for the training year (2009) at Desert Rock. Table 1 shows the modeled data error as a percent of the mean for the MOS-correction training year and one addi- tional year outside of the training period (the “Blind Com- parison”). This is calculated using the RMS error, averaged over daylight hours only, of monthly-mean MOS-corrected DNI. For months where we do not have measured data the standard model error is used. The standard model error value used as the base uncertainty for all five sites, repre- sented by the 0 month, was calculated based on a validation of the 3TIER satellite dataset compared to over 40 ground stations globally [1]. This table is repeated for each of the five study sites for comparison. TABLE 1: Modeled data error for DNI at Desert Rock as a percent of the mean for the MOS-correction training year (2009) and one other year outside of the training period (2011). Length of Observations Training Year Uncertainty Blind Comparison Uncertainty 0 months 9.0 9.0 3 months 7.01 7.86 6 months 4.83 6.29 9 months 2.61 4.23 12 months 0.58 2.43 REGIONAL CASE STUDY SITE 2: Sede Boker, Israel At Sede Boker the satellite data matches the seasonal cycle but has a clear low bias. The MOS-correction removes this bias as shown in Fig. 8 and improves the RMS error as seen in Table 2. Direct Normal Irradiance 1 2 3 4 5 6 7 8 9 10 11 12 Month 2007 280 320 360 400 440 480 520 560 600 640 680 720 760 800 W/m2 Ground Raw satellite MOS−corrected Fig. 8: DNI values in W/m2 for MOS-correction results for the training year (2007) at Sede Boker. TABLE 2: Modeled data error for DNI at Sede Boker as per- cent of the mean for the MOS-correction training year (2008) and one additional year outside of the training period (2009). Length of Observations Training Year Uncertainty Blind Comparison Uncertainty 0 month 9.0 9.0 3 months 6.91 7.39 6 months 4.76 5.68 9 months 2.43 3.59 12 months 0.44 1.08 REGIONAL CASE STUDY SITE 3: Carpentras, France
  • 6. Direct Normal Irradiance 1 2 3 4 5 6 7 8 9 10 11 12 Month 2008 200 240 280 320 360 400 440 480 520 560 600 640 680 W/m2 Ground Raw satellite MOS−corrected Fig. 9: DNI values in W/m2 for MOS-correction results for the training year (2008) at Carpentras. As mentioned previously the MOS-correction improves the mean bias at Carpentras, demonstrated in Fig. 9 above, but not the RMS because the satellite RMS is relatively low to begin with, as demonstrated in Table 3. TABLE 3: Modeled data error for DNI at Carpentras as a per- cent of the mean for the MOS-correction training year (2008) and one additional year outside of the training period (2009). Length of Observations Training Year Uncertainty Blind Comparison Uncertainty 0 month 9.0 9.0 3 months 6.86 7.12 6 months 4.75 5.28 9 months 2.50 3.34 12 months 0.48 1.52 The Carpentras site shows that in locations where the raw satellite data are already very good there is still improve- ment in uncertainty to be gained through MOS-correction, but it is not as crucial as at some other locations. REGIONAL CASE STUDY SITE 4: Solar Village, Saudi Arabia A site like Solar Village shows how crucial a correction can be. In this case the satellite modeled data needs improve- ment both in its seasonal signal and in bias. The MOS- correction improves both cases. Direct Normal Irradiance 1 2 3 4 5 6 7 8 9 10 11 12 Month 2001 320 360 400 440 480 520 560 600 640 680 720 760 800 W/m2 Ground Raw satellite MOS−corrected Fig. 10: DNI values in W/m2 for MOS-correction results for a training year (2001) at Solar Village. TABLE 4: Modeled data error for DNI at Solar Village as a percent of the mean for the training year (2001) and one addi- tional year outside of the training period (2002). Length of Observations Training Year Uncertainty Blind Comparison Uncertainty 0 month 9.0 9.0 3 months 6.90 7.48 6 months 5.00 5.53 9 months 2.85 3.71 12 months 0.80 3.40 The relatively high uncertainty in the year outside of the training period is likely due to the fact that the MOS- correction is improving the seasonal signal of the satellite dataset but is still missing the dip in DNI values during the month of May of the training period. This may result in overestimating DNI for that time period throughout the long-term record. However, as Fig. 10 clearly shows, the MOS-correction is having a positive effect overall. REGIONAL CASE STUDY SITE 5: Tamanrasset, Algeria Tamanrasset is another site where the MOS-correction clearly improves the bias in the satellite dataset, as shown in Fig. 11, even though the uncertainty values are higher rela- tive to a site like Desert Rock, as shown in Table 5. For each of the five sites we decided to investigate if apply- ing the MOS-correction using months from different sea- sons had any impact on improving the uncertainty. Figure 12 shows how the annual bias percentage improves during specific seasons using the conservative method for applying the correction. For each site, the 3-month MOS models are sorted by the starting month of the observations (Jan-Mar are plotted in column 1, Apr-Jun in column 4 and so on).
  • 7. These are the same comparison statistics used in Fig. 5, where each year of MOS-corrected model output is com- pared to observations for that year. Dependent periods, where the MOS is drawn from the same year, are excluded from the comparisons. Direct Normal Irradiance 1 2 3 4 5 6 7 8 9 10 11 12 Month 2005 280 320 360 400 440 480 520 560 600 640 680 720 760 W/m2 Ground Raw satellite MOS−corrected Fig. 11: DNI values in W/m2 for MOS-correction results for the training year (2005) at Tamanrasset. TABLE 5: Modeled data error for DNI at Tamanrasset as a percent of the mean for the training year (2005) and one ad- ditional year outside of the training period (2007). Length of Observa- tions Training Year Uncertainty Blind Comparison Uncertainty 0 month 9.0 9.0 3 months 7.04 7.23 6 months 5.05 5.90 9 months 2.98 4.19 12 months 1.02 2.63 Desert Rock and Sede Boker show significantly better re- sults for Apr-Jun, Carpentras slightly better, Tamanrasset shows improvement in Jul-Sep, and Solar Village in Oct- Dec. Our current explanation is that the signal is higher in the Northern hemisphere summer due to latitude effects (Carpentras is at 44°N, Desert Rock at 36°N, Sede Boker at 30°N, Solar Village at 24°N, and Tamanrasset at 22°N). Operating on the time period when the signal is higher im- proves the overall statistics. Comparisons between GHI MOS models (where seasonal effects are much stronger) show similar patterns. To further investigate seasonality, the experiment should be run with the MOS-correction starting on cross-quarter days (i.e. centered on the solstices and equinoxes). Moreover, us- ing more sites including some south of the equator, and sites with strong seasonal effects, such as in India during the monsoon, should be considered. This may be the subject of future work. Fig. 12: Annual percent bias difference in DNI MOS cor- rected by season using the conservative methodology. 5. PRACTICAL APPLICATIONS FOR FINANCING As part of this study we looked at the effects of performing a long-term dataset correction with short-term ground ob- servations on reducing uncertainty in Probability of Exceed- ance Values. A 1-year P90 value indicates the production value that the annual solar resource will exceed 90% of the time. This is a common value financiers use to assign a level of risk associated with a particular project. It is directly tied to the finance rates available for project financing. A 1-year P90 value (as opposed to a 10-year P90 value) is typically mandatory in project financing because if power production decreases significantly in a given year due to so- lar resource variability, debt on the project is at risk of being defaulted. The only way to determine 1-year P90, or higher, values acceptable to funding institutions is with long-term continuous data at the proposed site. Using the uncertainty values presented in Section 4, we looked at the effect of reducing uncertainty on a set of stan- dard P-values. We combine those standard model errors with an estimate of the variability for any single year based on the corrected long-term dataset to create a 1-year pooled uncertainty estimate. Assuming that annual average values are normally distributed, the pooled uncertainty results in 1- year P-values (P50, P75, P90, P95) using a formula like the one below for Desert Rock: MOS-corrected DNI 1-yr P90 w/ 6 months of observations = P50 - 1.282 x (7.93 / 100) x P50 = 2436 kWh/m2 per yr
  • 8. Table 6 shows the resulting P-values for Desert Rock using the more conservative blind comparison uncertainty esti- mates. The table shows that as model uncertainties are re- duced by using more months of ground observation in the MOS-correction, the annual estimates of irradiance for each of the P-values tends to increase. For most projects if they get below a certain annual average resource, the project be- comes non-viable financially. That minimum value varies for different technologies. Having a P90 value above that threshold is critical. TABLE 6: 1-year MOS-corrected DNI P-values in kWh/m2 per year for Desert Rock from blind comparison (2011) pe- riod. Length of Observations P50 P75 P90 P95 0 month 2613 2433 2270 2173 3 months 2603 2441 2295 2207 6 months 2712 2567 2436 2358 9 months 2790 2677 2576 2516 12 months 2728 2649 2577 2535 Table 7 below presents the same results for Tamanrasset. These results show that even for a location like Tamanras- set, where the uncertainty estimates were not as low as De- sert Rock, performing the correction using multiple months of ground observations has a positive effect in raising the P- values in most cases. TABLE 7: 1-year MOS-corrected DNI P-values in kWh/m2 for Tamanrasset from blind comparison (2007) period. Length of Observations P50 P75 P90 P95 0 month 2477 2320 2179 2095 3 months 2509 2378 2260 2189 6 months 2423 2316 2220 2162 9months 2366 2285 2212 2168 12 months 2351 2289 2233 2199 6. CONCLUSION Satellite derived irradiance data are very useful for under- standing the long-term context of the solar resource at pro- ject sites. However, this information is not always optimally correlated to local conditions, particularly in locations that see high aerosol loads. Taking on-site measurements for a year or more whenever possible is critical to mitigating re- source related risk for solar projects. Since most on-site ob- servations provide quality observations, but only for a short period of time, it becomes necessary to extend the resource data record in order to understand interannual variability. This paper showed two methods for correcting long-term satellite data with short-term high quality observations. The first method performs a clear-sky AOD correction based on the high resolution SOLSUN aerosol dataset. This correc- tion can be correlated with ground observations of AOD if they are available. The advantage of this method is that on- site observations of AOD are not necessary. However, local DNI observations are necessary during about one year, since it must first be ascertained that satellite-derived data series are highly biased. The second method performs a MOS correction based on on-site observations and investigated the optimal amount of ground observations necessary to improve the correction. With 6-9 months of on-site data or more there is a signifi- cant reduction in the bias and RMS errors in the long-term satellite data. Interestingly, no appreciable reduction in modeled irradiance bias can be obtained with DNI observa- tions periods longer than about 9 months. Both correction methods demonstrate skill and reduce the risk associated with variable generation power projects such as large solar installations. This provides project developers multiple robust methodologies for gaining high quality long-tem irradiance datasets, which can be used to improve the quality of production estimates. 7. REFERENCES (1) C.A. Gueymard, Uncertainties in Modeled Direct Irra- diance Around the Sahara as Affected by Aerosols: Are Current Datasets of Bankable Quality? Trans. ASME J. Solar Energy Engng., 133, 031024 (2011). (2) C.A. Gueymard, Temporal variability in direct and global irradiance at various time scales as affected by aerosols. Solar Energy, in press (2012). (3) C.A. Gueymard, REST2: High performance solar radia- tion model for cloudless-sky irradiance, illuminance and photosynthetically active radiation—Validation with a benchmark dataset. Solar Energy, 82, 272-285 (2008). (4) C.A. Gueymard, A globally calibrated aerosol optical depth gridded dataset for improved solar irradiance predictions. Geophys. Research Abstr. (2012). (5) “3TIER Global Solar Validation: Methodology and Validation” (2010) http://gurl.im/ec6eqv