pvlib.temperature.sapm_cell

pvlib.temperature.sapm_cell(poa_global, temp_air, wind_speed, a, b, deltaT, irrad_ref=1000)[source]

Calculate cell temperature per the Sandia Array Performance Model.

See [1] for details on the Sandia Array Performance Model.

Parameters:
  • poa_global (numeric) – Total incident irradiance [W/m^2].
  • temp_air (numeric) – Ambient dry bulb temperature [C].
  • wind_speed (numeric) – Wind speed at a height of 10 meters [m/s].
  • a (float) – Parameter \(a\) in (1).
  • b (float) – Parameter \(b\) in (1).
  • deltaT (float) – Parameter \(\Delta T\) in (2) [C].
  • irrad_ref (float, default 1000) – Reference irradiance, parameter \(E_{0}\) in (2) [W/m^2].
Returns:

numeric, values in degrees C.

Notes

The model for cell temperature \(T_{C}\) is given by a pair of equations (Eq. 11 and 12 in [1]).

(1)\[T_{m} = E \times \exp (a + b \times WS) + T_{a}\]
(2)\[T_{C} = T_{m} + \frac{E}{E_{0}} \Delta T\]

The module back surface temperature \(T_{m}\) is implemented in sapm_module().

Inputs to the model are plane-of-array irradiance \(E\) (W/m2) and ambient air temperature \(T_{a}\) (C). Model parameters depend both on the module construction and its mounting. Parameter sets are provided in [1] for representative modules and mounting, and are coded for convenience in TEMPERATURE_MODEL_PARAMETERS.

Module Mounting a b \(\Delta T [C]\)
glass/glass open rack -3.47 -0.0594 3
glass/glass close roof -2.98 -0.0471 1
glass/polymer open rack -3.56 -0.075 3
glass/polymer insulated back -2.81 -0.0455 0

References

[1](1, 2, 3) King, D. et al, 2004, “Sandia Photovoltaic Array Performance Model”, SAND Report 3535, Sandia National Laboratories, Albuquerque, NM.

See also

sapm_cell_from_module(), sapm_module()

Examples

>>> from pvlib.temperature import sapm_cell, TEMPERATURE_MODEL_PARAMETERS
>>> params = TEMPERATURE_MODEL_PARAMETERS['sapm']['open_rack_glass_glass']
>>> sapm_cell(1000, 10, 0, **params)
44.11703066106086