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Improved prediction of site spectral impact
Dr Benjamin Duck, Dr Chris Fell
16 June 2015
ENERGY FLAGSHIP
CSIRO PV Outdoor Research Facility
4th PVPMC Workshop – Cologne – 21st October 2015
The problem of spectrum
4th PVPMC Workshop – Cologne – 21st October 2015
• OBJECTIVE
– Method for determining the impact that changes in the spectral
irradiance distribution has on PV for both validation (historical) and
forecasting (predictive) at arbitrary locations
• METRICS
– Spectral mismatch factor
– Spectral impact factor
• PROBLEM
– Detailed spectral information is typically unavailable
– Existing models have difficulty making accurate short timescale
predictions
• QUESTION
– Can we improve on existing methods for predicting spectral impact
based on commonly available data
Impact of changes to spectrum
4th PVPMC Workshop – Cologne – 21st October 2015
c-Si measured daily SIF
c-Si measured mismatch
• Impact depends on timescale
– Instantaneous > 25%
– Affected by instantaneous
cloud cover
– Daily > 10%
– Days with constant clouds
are rare
– High air mass compensation
– Yearly = 1%
– Averaging reduces impact
significantly
• Directly measured mismatch (spectroradiometer)
• In-directly measured mismatch (short circuit current)
Measuring spectral mismatch
4th PVPMC Workshop – Cologne – 21st October 2015
• Directly measured results
agree reasonably with
indirect results from
module Isc values.
• Variation in data is well
matched
• Seasonal changes are
duplicated
• Small differences may be
due to
• Low light level performance
• Unacounted for seasonal
changes
Measuring spectral mismatch II
4th PVPMC Workshop – Cologne – 21st October 2015
CIGS
c-Si
CdTe
• Without direct measurements spectral mismatch must be estimated
• Commonly used methods are:
– Sandia array performance model (SAM)
– CREST ‘utilization factor’ (PVsyst)
• Underlying assumption: Spectrum at air mass 1.5 = AM1.5
Linking spectral mismatch to air mass
4th PVPMC Workshop – Cologne – 21st October 2015
King, Boyson and Kratochvil, Photovoltaic Array Performance Model, Sandia
National Laboratories report SAND2004-3535, Albuquerque, NM (2004)
Betts, Gottschalg and Infield, Spectral irradiance correction for PV system yield
calculations,19 th European Photovoltaic Solar Energy Conference, Paris (2004)
Comparing measurements to predictions
4th PVPMC Workshop – Cologne – 21st October 2015
CdTe
CIGS
• Season independent
offset
• Daily SIF variation is not
matched
• Small average season
independent offset
• Large daily SIF variation
not matched
•Out of season behaviour
not explained
Offset in measured Pmp data
• Data corrected to 1000 W/m2 and 25 °C shows an offset
PVSC 42 – 16th June 2015
Spectrum at air mass 1.5 ≠ AM1.5 reference
• Data at 1000 W/m2, 25 °C and air mass = 1.5 shows an offset
4th PVPMC Workshop – Cologne – 21st October 2015
Clear skies vs Cloudy skies
• Data when skies are not clear
does not follow simple air mass
model
• CREST model attempts to
capture this using clearness
index
• Original form uses bandgap
based windowing of spectrum
data.
• Apply results from modified
model using true spectral
response.
PVSC 42 – 16th June 2015
Spectral mismatch estimation – CREST
• CREST uses a functional relationship between Air Mass, a
clearness index (kt
*) and the useful fraction of incident irradiance.
• Useful fraction is calculated using a spectral windowing technique
• Improvement is found by calculating spectral mismatch using the
true spectral response (WUF) rather than the useful fraction.
• Adds ability to account for cloud cover
• Coefficients are found by fitting a surface to the spectral
mismatch data.
4th PVPMC Workshop – Cologne – 21st October 2015
𝑓 𝐴𝑀, 𝑘 𝑡
∗
=
𝑊𝑈𝐹𝑚𝑒𝑎𝑠
𝑊𝑈𝐹𝑟𝑒𝑓
= 𝑨 ∶ 𝑷 𝑘 𝑡
∗
𝑸 𝐴𝑀
𝑸 𝐴𝑀 = 𝐴𝑀 𝑚
𝑚
0
𝑷 𝑘 𝑡
∗
= 𝑘 𝑡
∗ 𝑛
𝑛
0
• Captures variations due to
cloudy skies as well as seasonal
changes.
Modified CREST model predictions
4th PVPMC Workshop – Cologne – 21st October 2015
c-Si measured
c-Si modelled (CREST)
Modified CREST model predictions
4th PVPMC Workshop – Cologne – 21st October 2015
CdTe
CIGS
• Site spectral offset is
accounted for.
• Variation in data
due to cloudy
conditions is
replicated.
• Site dependence is
implicit due to fits to
specific site data.
• Possible to use the
site spectral offset
as a scaling factor?
Comparison of impact
4th PVPMC Workshop – Cologne – 21st October 2015
Module
Type
Model MBE daily SIF MAE daily
SIF
RMSE daily
SIF
Standard
Deviation
CdTe SANDIA 0.030 0.031 0.044 0.032
CREST -0.010 0.014 0.019 0.016
CREST-WUF 0.001 0.009 0.012 0.012
c-Si SANDIA -0.003 0.021 0.027 0.026
CREST -0.014 0.016 0.021 0.016
CREST-WUF -0.002 0.007 0.011 0.010
CIGS SANDIA -0.017 0.024 0.026 0.020
CREST -0.015 0.017 0.021 0.015
CREST-WUF -0.001 0.007 0.010 0.010
Comparison of impact
• Hourly absolute resource estimate error statistics
• Adjusted Sandia has had site spectral offset applied.
• Improvement of using the modified CREST is clear.
4th PVPMC Workshop – Cologne – 21st October 2015
Unmodified CREST Adjusted Sandia Modified CREST
• Surface shape is different from
direct measurements
• Cloudy data not as consistently
captured. Diffuse contribution?
Modified CREST using Isc data
4th PVPMC Workshop – Cologne – 21st October 2015
CIGS measured
CIGS modelled
Modified CREST using Isc data
4th PVPMC Workshop – Cologne – 21st October 2015
CdTe
CIGS
• Equivalent results to
direct spectral
measurement
observed.
• Out of season
differences are still
present.
• Results are stable
with subsampling of
dataset and within
module type.
Clear sky model dependence
4th PVPMC Workshop – Cologne – 21st October 2015
• Surface result is dependent upon modelling of kt
*
• Requires consistent GHI model to be adopted
Frequency of air mass and kt
* data
4th PVPMC Workshop – Cologne – 21st October 2015
• Most data is below air mass = 3.0
• Highest concentration of data for
clear sky days
• Lots of cloudy days but surface
data is scattered
• kt
* is not continuous
• kt
* > 1 suggests limitations of GHI
model
Other variations
4th PVPMC Workshop – Cologne – 21st October 2015
• Out of season variation is not captured
• Changes to air mass dependence for clear skies
c-Si measured mismatch for a clear sky day in each season
• Propose combining the modified CREST surface and site spectral
offset to lead to superior predictions
• The relationship between site location and climate and the site
spectral offset is unclear
• Added measurements are also needed to determine clearness
surface dependence on site and offset properties
• Standardisation of measurement and fitting methods.
Is general characterisation possible
4th PVPMC Workshop – Cologne – 21st October 2015
Acknowledgements
• This work was conducted with support from
• The CSIRO Energy Flagship program
• The Australian Renewable Energy Agency (ARENA)
4th PVPMC Workshop – Cologne – 21st October 2015

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25 ben duck_improved_prediction_of_site_spectral_impact

  • 1. Improved prediction of site spectral impact Dr Benjamin Duck, Dr Chris Fell 16 June 2015 ENERGY FLAGSHIP
  • 2. CSIRO PV Outdoor Research Facility 4th PVPMC Workshop – Cologne – 21st October 2015
  • 3. The problem of spectrum 4th PVPMC Workshop – Cologne – 21st October 2015 • OBJECTIVE – Method for determining the impact that changes in the spectral irradiance distribution has on PV for both validation (historical) and forecasting (predictive) at arbitrary locations • METRICS – Spectral mismatch factor – Spectral impact factor • PROBLEM – Detailed spectral information is typically unavailable – Existing models have difficulty making accurate short timescale predictions • QUESTION – Can we improve on existing methods for predicting spectral impact based on commonly available data
  • 4. Impact of changes to spectrum 4th PVPMC Workshop – Cologne – 21st October 2015 c-Si measured daily SIF c-Si measured mismatch • Impact depends on timescale – Instantaneous > 25% – Affected by instantaneous cloud cover – Daily > 10% – Days with constant clouds are rare – High air mass compensation – Yearly = 1% – Averaging reduces impact significantly
  • 5. • Directly measured mismatch (spectroradiometer) • In-directly measured mismatch (short circuit current) Measuring spectral mismatch 4th PVPMC Workshop – Cologne – 21st October 2015
  • 6. • Directly measured results agree reasonably with indirect results from module Isc values. • Variation in data is well matched • Seasonal changes are duplicated • Small differences may be due to • Low light level performance • Unacounted for seasonal changes Measuring spectral mismatch II 4th PVPMC Workshop – Cologne – 21st October 2015 CIGS c-Si CdTe
  • 7. • Without direct measurements spectral mismatch must be estimated • Commonly used methods are: – Sandia array performance model (SAM) – CREST ‘utilization factor’ (PVsyst) • Underlying assumption: Spectrum at air mass 1.5 = AM1.5 Linking spectral mismatch to air mass 4th PVPMC Workshop – Cologne – 21st October 2015 King, Boyson and Kratochvil, Photovoltaic Array Performance Model, Sandia National Laboratories report SAND2004-3535, Albuquerque, NM (2004) Betts, Gottschalg and Infield, Spectral irradiance correction for PV system yield calculations,19 th European Photovoltaic Solar Energy Conference, Paris (2004)
  • 8. Comparing measurements to predictions 4th PVPMC Workshop – Cologne – 21st October 2015 CdTe CIGS • Season independent offset • Daily SIF variation is not matched • Small average season independent offset • Large daily SIF variation not matched •Out of season behaviour not explained
  • 9. Offset in measured Pmp data • Data corrected to 1000 W/m2 and 25 °C shows an offset PVSC 42 – 16th June 2015
  • 10. Spectrum at air mass 1.5 ≠ AM1.5 reference • Data at 1000 W/m2, 25 °C and air mass = 1.5 shows an offset 4th PVPMC Workshop – Cologne – 21st October 2015
  • 11. Clear skies vs Cloudy skies • Data when skies are not clear does not follow simple air mass model • CREST model attempts to capture this using clearness index • Original form uses bandgap based windowing of spectrum data. • Apply results from modified model using true spectral response. PVSC 42 – 16th June 2015
  • 12. Spectral mismatch estimation – CREST • CREST uses a functional relationship between Air Mass, a clearness index (kt *) and the useful fraction of incident irradiance. • Useful fraction is calculated using a spectral windowing technique • Improvement is found by calculating spectral mismatch using the true spectral response (WUF) rather than the useful fraction. • Adds ability to account for cloud cover • Coefficients are found by fitting a surface to the spectral mismatch data. 4th PVPMC Workshop – Cologne – 21st October 2015 𝑓 𝐴𝑀, 𝑘 𝑡 ∗ = 𝑊𝑈𝐹𝑚𝑒𝑎𝑠 𝑊𝑈𝐹𝑟𝑒𝑓 = 𝑨 ∶ 𝑷 𝑘 𝑡 ∗ 𝑸 𝐴𝑀 𝑸 𝐴𝑀 = 𝐴𝑀 𝑚 𝑚 0 𝑷 𝑘 𝑡 ∗ = 𝑘 𝑡 ∗ 𝑛 𝑛 0
  • 13. • Captures variations due to cloudy skies as well as seasonal changes. Modified CREST model predictions 4th PVPMC Workshop – Cologne – 21st October 2015 c-Si measured c-Si modelled (CREST)
  • 14. Modified CREST model predictions 4th PVPMC Workshop – Cologne – 21st October 2015 CdTe CIGS • Site spectral offset is accounted for. • Variation in data due to cloudy conditions is replicated. • Site dependence is implicit due to fits to specific site data. • Possible to use the site spectral offset as a scaling factor?
  • 15. Comparison of impact 4th PVPMC Workshop – Cologne – 21st October 2015 Module Type Model MBE daily SIF MAE daily SIF RMSE daily SIF Standard Deviation CdTe SANDIA 0.030 0.031 0.044 0.032 CREST -0.010 0.014 0.019 0.016 CREST-WUF 0.001 0.009 0.012 0.012 c-Si SANDIA -0.003 0.021 0.027 0.026 CREST -0.014 0.016 0.021 0.016 CREST-WUF -0.002 0.007 0.011 0.010 CIGS SANDIA -0.017 0.024 0.026 0.020 CREST -0.015 0.017 0.021 0.015 CREST-WUF -0.001 0.007 0.010 0.010
  • 16. Comparison of impact • Hourly absolute resource estimate error statistics • Adjusted Sandia has had site spectral offset applied. • Improvement of using the modified CREST is clear. 4th PVPMC Workshop – Cologne – 21st October 2015 Unmodified CREST Adjusted Sandia Modified CREST
  • 17. • Surface shape is different from direct measurements • Cloudy data not as consistently captured. Diffuse contribution? Modified CREST using Isc data 4th PVPMC Workshop – Cologne – 21st October 2015 CIGS measured CIGS modelled
  • 18. Modified CREST using Isc data 4th PVPMC Workshop – Cologne – 21st October 2015 CdTe CIGS • Equivalent results to direct spectral measurement observed. • Out of season differences are still present. • Results are stable with subsampling of dataset and within module type.
  • 19. Clear sky model dependence 4th PVPMC Workshop – Cologne – 21st October 2015 • Surface result is dependent upon modelling of kt * • Requires consistent GHI model to be adopted
  • 20. Frequency of air mass and kt * data 4th PVPMC Workshop – Cologne – 21st October 2015 • Most data is below air mass = 3.0 • Highest concentration of data for clear sky days • Lots of cloudy days but surface data is scattered • kt * is not continuous • kt * > 1 suggests limitations of GHI model
  • 21. Other variations 4th PVPMC Workshop – Cologne – 21st October 2015 • Out of season variation is not captured • Changes to air mass dependence for clear skies c-Si measured mismatch for a clear sky day in each season
  • 22. • Propose combining the modified CREST surface and site spectral offset to lead to superior predictions • The relationship between site location and climate and the site spectral offset is unclear • Added measurements are also needed to determine clearness surface dependence on site and offset properties • Standardisation of measurement and fitting methods. Is general characterisation possible 4th PVPMC Workshop – Cologne – 21st October 2015
  • 23. Acknowledgements • This work was conducted with support from • The CSIRO Energy Flagship program • The Australian Renewable Energy Agency (ARENA) 4th PVPMC Workshop – Cologne – 21st October 2015