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update irradiance.reindl docs #2193

Merged
merged 14 commits into from
Oct 4, 2024
4 changes: 3 additions & 1 deletion docs/sphinx/source/whatsnew/v0.11.2.rst
Original file line number Diff line number Diff line change
Expand Up @@ -16,7 +16,8 @@ Documentation
~~~~~~~~~~~~~
* Edited docstrings for :py:func:`~pvlib.pvsystem.dc_ohms_from_percent` and
:py:func:`~pvlib.pvsystem.dc_ohmic_losses` for clarity. (:issue:`1601`, :pull:`2229`)

* Updated :py:func:`~pvlib.irradiance.reindl` to include definitions of terms
and a new "notes" section (:issue:`2183`, :pull:`2193`)

Testing
~~~~~~~
Expand All @@ -29,4 +30,5 @@ Requirements
Contributors
~~~~~~~~~~~~
* Cliff Hansen (:ghuser:`cwhanse`)
* Rajiv Daxini (:ghuser:`RDaxini`)

61 changes: 37 additions & 24 deletions pvlib/irradiance.py
Original file line number Diff line number Diff line change
Expand Up @@ -871,19 +871,14 @@ def haydavies(surface_tilt, surface_azimuth, dhi, dni, dni_extra,
def reindl(surface_tilt, surface_azimuth, dhi, dni, ghi, dni_extra,
solar_zenith, solar_azimuth):
r'''
Determine diffuse irradiance from the sky on a tilted surface using
Reindl's 1990 model

.. math::
Determine the diffuse irradiance from the sky on a tilted surface using
the Reindl (1990) model.

I_{d} = DHI \left(A R_b + (1 - A) \left(\frac{1 + \cos\beta}{2}\right)
\left(1 + \sqrt{\frac{I_{hb}}{I_h}} \sin^3(\beta/2)\right) \right)

Reindl's 1990 model determines the diffuse irradiance from the sky
(ground reflected irradiance is not included in this algorithm) on a
tilted surface using the surface tilt angle, surface azimuth angle,
The Reindl (1990) model [1]_ [2]_ determines the diffuse irradiance from
the sky on
a tilted surface using the surface tilt angle, surface azimuth angle,
diffuse horizontal irradiance, direct normal irradiance, global
horizontal irradiance, extraterrestrial irradiance, sun zenith
horizontal irradiance, extraterrestrial normal irradiance, sun zenith
angle, and sun azimuth angle.

Parameters
Expand All @@ -905,7 +900,7 @@ def reindl(surface_tilt, surface_azimuth, dhi, dni, ghi, dni_extra,
direct normal irradiance. [Wm⁻²]

ghi: numeric
Global irradiance. [Wm⁻²]
Global horizontal irradiance. [Wm⁻²]

dni_extra : numeric
Extraterrestrial normal irradiance. [Wm⁻²]
Expand All @@ -925,23 +920,41 @@ def reindl(surface_tilt, surface_azimuth, dhi, dni, ghi, dni_extra,

Notes
-----
The poa_sky_diffuse calculation is generated from the Loutzenhiser et al.
(2007) paper, equation 8. Note that I have removed the beam and ground
reflectance portion of the equation and this generates ONLY the diffuse
radiation from the sky and circumsolar, so the form of the equation
varies slightly from equation 8.
The Reindl (1990) model for the sky diffuse irradiance,
:math:`I_d`, is as follows:

.. math::

I_{d} = DHI \left(A \cdot R_b + (1 - A)
\left(\frac{1 + \cos\beta}{2}\right)
\left(1 + \sqrt{\frac{BHI}{GHI}} \sin^3(\beta/2)\right) \right).

:math:`DHI`, :math:`BHI`, and :math:`GHI` are the diffuse horizontal, beam
(direct) horizontal and global horizontal irradiances, respectively.
:math:`A` is the anisotropy index, which is the ratio of the direct normal
irradiance to the direct extraterrestrial irradiation, :math:`R_b` is the
projection ratio, which is defined as the ratio of the cosine of the angle
of incidence (AOI) to the cosine of the zenith angle, and :math:`\beta`
is the tilt angle of the array.

Implementation is based on Loutzenhiser et al.
(2007) [3]_, Equation 8. The beam and ground reflectance portion of the
equation have been removed, therefore the model described here generates
ONLY the diffuse radiation from the sky and circumsolar, so the form of the
equation varies slightly from Equation 8 in [3]_.

References
----------
.. [1] Loutzenhiser P.G. et. al. "Empirical validation of models to
compute solar irradiance on inclined surfaces for building energy
simulation" 2007, Solar Energy vol. 81. pp. 254-267

.. [2] Reindl, D.T., Beckmann, W.A., Duffie, J.A., 1990a. Diffuse
.. [1] Reindl, D. T., Beckmann, W. A., Duffie, J. A., 1990a. Diffuse
fraction correlations. Solar Energy 45(1), 1-7.

.. [3] Reindl, D.T., Beckmann, W.A., Duffie, J.A., 1990b. Evaluation of
:doi:`10.1016/0038-092X(90)90060-P`
.. [2] Reindl, D. T., Beckmann, W. A., Duffie, J. A., 1990b. Evaluation of
hourly tilted surface radiation models. Solar Energy 45(1), 9-17.
:doi:`10.1016/0038-092X(90)90061-G`
.. [3] Loutzenhiser P. G. et. al., 2007. Empirical validation of models to
compute solar irradiance on inclined surfaces for building energy
simulation. Solar Energy 81(2), 254-267
:doi:`10.1016/j.solener.2006.03.009`
'''

cos_tt = aoi_projection(surface_tilt, surface_azimuth,
Expand Down