pvlib.atmosphere.first_solar_spectral_correction

pvlib.atmosphere.first_solar_spectral_correction(pw, airmass_absolute, module_type=None, coefficients=None)[source]

Spectral mismatch modifier based on precipitable water and absolute (pressure corrected) airmass.

Estimates a spectral mismatch modifier M representing the effect on module short circuit current of variation in the spectral irradiance. M is estimated from absolute (pressure currected) air mass, AMa, and precipitable water, Pwat, using the following function:

\[M = c_1 + c_2*AMa + c_3*Pwat + c_4*AMa^.5 + c_5*Pwat^.5 + c_6*AMa/Pwat^.5\]

Default coefficients are determined for several cell types with known quantum efficiency curves, by using the Simple Model of the Atmospheric Radiative Transfer of Sunshine (SMARTS) [1]. Using SMARTS, spectrums are simulated with all combinations of AMa and Pwat where:

  • 0.5 cm <= Pwat <= 5 cm
  • 1.0 <= AMa <= 5.0
  • Spectral range is limited to that of CMP11 (280 nm to 2800 nm)
  • spectrum simulated on a plane normal to the sun
  • All other parameters fixed at G173 standard

From these simulated spectra, M is calculated using the known quantum efficiency curves. Multiple linear regression is then applied to fit Eq. 1 to determine the coefficients for each module.

Based on the PVLIB Matlab function pvl_FSspeccorr by Mitchell Lee and Alex Panchula, at First Solar, 2016 [2].

Parameters:
pw : array-like

atmospheric precipitable water (cm).

airmass_absolute : array-like

absolute (pressure corrected) airmass.

module_type : None or string, default None

a string specifying a cell type. Can be lower or upper case letters. Admits values of ‘cdte’, ‘monosi’, ‘xsi’, ‘multisi’, ‘polysi’. If provided, this input selects coefficients for the following default modules:

  • ‘cdte’ - First Solar Series 4-2 CdTe modules.
  • ‘monosi’, ‘xsi’ - First Solar TetraSun modules.
  • ‘multisi’, ‘polysi’ - multi-crystalline silicon modules.
  • ‘cigs’ - anonymous copper indium gallium selenide PV module
  • ‘asi’ - anonymous amorphous silicon PV module

The module used to calculate the spectral correction coefficients corresponds to the Mult-crystalline silicon Manufacturer 2 Model C from [3]. Spectral Response (SR) of CIGS and a-Si modules used to derive coefficients can be found in [4]

coefficients : None or array-like, default None

allows for entry of user defined spectral correction coefficients. Coefficients must be of length 6. Derivation of coefficients requires use of SMARTS and PV module quantum efficiency curve. Useful for modeling PV module types which are not included as defaults, or to fine tune the spectral correction to a particular mono-Si, multi-Si, or CdTe PV module. Note that the parameters for modules with very similar QE should be similar, in most cases limiting the need for module specific coefficients.

Returns:
modifier: array-like

spectral mismatch factor (unitless) which is can be multiplied with broadband irradiance reaching a module’s cells to estimate effective irradiance, i.e., the irradiance that is converted to electrical current.

References

[1](1, 2) Gueymard, Christian. SMARTS2: a simple model of the atmospheric radiative transfer of sunshine: algorithms and performance assessment. Cocoa, FL: Florida Solar Energy Center, 1995.
[2](1, 2) Lee, Mitchell, and Panchula, Alex. “Spectral Correction for Photovoltaic Module Performance Based on Air Mass and Precipitable Water.” IEEE Photovoltaic Specialists Conference, Portland, 2016
[3](1, 2) Marion, William F., et al. User’s Manual for Data for Validating Models for PV Module Performance. National Renewable Energy Laboratory, 2014. http://www.nrel.gov/docs/fy14osti/61610.pdf
[4](1, 2) Schweiger, M. and Hermann, W, Influence of Spectral Effects on Energy Yield of Different PV Modules: Comparison of Pwat and MMF Approach, TUV Rheinland Energy GmbH report 21237296.003, January 2017