Description
Describe the problem
The noct_sam temperature model has an effective_irradiance input, which would normally have a value less than poa_global, mainly due to reflection losses. This is implemented internally as an adjustment to the transmittance_absorptance parameter. However, this adjustment produces some questionable results.
Code fragment to demonstrate the problem
from pvlib.temperature import noct_sam
gpoa = 800
geff = gpoa * 0.75
wind_speed_10m = 1.0 / 0.51
NOCT = 41.6
# open circuit and max power module conditions for reuse
module_oc =dict(noct=NOCT, module_efficiency=0.00)
module_mp =dict(noct=NOCT, module_efficiency=0.20)
weather0 = dict(poa_global=gpoa,
temp_air=20,
wind_speed=wind_speed_10m,
)
print()
print('mod temp under gpoa')
print('oc:', noct_sam(**weather0, **module_oc))
print('mp:', noct_sam(**weather0, **module_mp))
weather1 = dict(poa_global=geff,
temp_air=20,
wind_speed=wind_speed_10m,
)
print()
print('mod temp under geff (what I would expect to be correct)')
print('oc:', noct_sam(**weather1, **module_oc))
print('mp:', noct_sam(**weather1, **module_mp))
# use the effective_irradiance input
weather2 = dict(poa_global=gpoa,
temp_air=20,
wind_speed=wind_speed_10m,
effective_irradiance=geff,
)
print()
print('mod temp under gpoa using separate geff input (different/incorrect)')
print('oc:', noct_sam(**weather2, **module_oc))
print('mp:', noct_sam(**weather2, **module_mp))
# replicate the tau_alpha adjustment that is inside noct_sam
weather3 = dict(poa_global=gpoa,
temp_air=20,
wind_speed=wind_speed_10m,
transmittance_absorptance=0.9 * geff / gpoa,
)
print()
print('mod temp under gpoa with tau_alpha adjusted externally (same problem)')
print('oc:', noct_sam(**weather3, **module_oc))
print('mp:', noct_sam(**weather3, **module_mp))
Code fragment output
mod temp under gpoa
oc: 41.6
mp: 36.8
mod temp under geff (what I would expect to be correct)
oc: 36.2
mp: 32.6
mod temp under gpoa using separate geff input (different/incorrect)
oc: 41.6
mp: 35.2
mod temp under gpoa with tau_alpha adjusted externally (same problem)
oc: 41.6
mp: 35.2
Comments on output
Note that under open circuit conditions the module temperature remains at 41.6 in the third and fourth cases despite the reduction in irradiance, which is not logical. The biggest surprise comes when you set geff to small values, like 20% of gpoa because the module temperature then goes below ambient.
Additional context
The noct_sam function in pvlib appears to correspond very closely to the code in SAM itself, so this problem would exist there too. But it is much easier to demonstrate it here.
Solution
Reflected irradiance does not contribute to heating or electricity generation, so a single irradiance input for this thermal model is enough.