@@ -871,19 +871,14 @@ def haydavies(surface_tilt, surface_azimuth, dhi, dni, dni_extra,
871871def reindl (surface_tilt , surface_azimuth , dhi , dni , ghi , dni_extra ,
872872 solar_zenith , solar_azimuth ):
873873 r'''
874- Determine diffuse irradiance from the sky on a tilted surface using
875- Reindl's 1990 model
876-
877- .. math::
874+ Determine the diffuse irradiance from the sky on a tilted surface using
875+ the Reindl (1990) model.
878876
879- I_{d} = DHI \left(A R_b + (1 - A) \left(\frac{1 + \cos\beta}{2}\right)
880- \left(1 + \sqrt{\frac{I_{hb}}{I_h}} \sin^3(\beta/2)\right) \right)
881-
882- Reindl's 1990 model determines the diffuse irradiance from the sky
883- (ground reflected irradiance is not included in this algorithm) on a
884- tilted surface using the surface tilt angle, surface azimuth angle,
877+ The Reindl (1990) model [1]_ [2]_ determines the diffuse irradiance from
878+ the sky on
879+ a tilted surface using the surface tilt angle, surface azimuth angle,
885880 diffuse horizontal irradiance, direct normal irradiance, global
886- horizontal irradiance, extraterrestrial irradiance, sun zenith
881+ horizontal irradiance, extraterrestrial normal irradiance, sun zenith
887882 angle, and sun azimuth angle.
888883
889884 Parameters
@@ -905,7 +900,7 @@ def reindl(surface_tilt, surface_azimuth, dhi, dni, ghi, dni_extra,
905900 direct normal irradiance. [Wm⁻²]
906901
907902 ghi: numeric
908- Global irradiance. [Wm⁻²]
903+ Global horizontal irradiance. [Wm⁻²]
909904
910905 dni_extra : numeric
911906 Extraterrestrial normal irradiance. [Wm⁻²]
@@ -925,23 +920,41 @@ def reindl(surface_tilt, surface_azimuth, dhi, dni, ghi, dni_extra,
925920
926921 Notes
927922 -----
928- The poa_sky_diffuse calculation is generated from the Loutzenhiser et al.
929- (2007) paper, equation 8. Note that I have removed the beam and ground
930- reflectance portion of the equation and this generates ONLY the diffuse
931- radiation from the sky and circumsolar, so the form of the equation
932- varies slightly from equation 8.
923+ The Reindl (1990) model for the sky diffuse irradiance,
924+ :math:`I_d`, is as follows:
925+
926+ .. math::
927+
928+ I_{d} = DHI \left(A \cdot R_b + (1 - A)
929+ \left(\frac{1 + \cos\beta}{2}\right)
930+ \left(1 + \sqrt{\frac{BHI}{GHI}} \sin^3(\beta/2)\right) \right).
931+
932+ :math:`DHI`, :math:`BHI`, and :math:`GHI` are the diffuse horizontal, beam
933+ (direct) horizontal and global horizontal irradiances, respectively.
934+ :math:`A` is the anisotropy index, which is the ratio of the direct normal
935+ irradiance to the direct extraterrestrial irradiation, :math:`R_b` is the
936+ projection ratio, which is defined as the ratio of the cosine of the angle
937+ of incidence (AOI) to the cosine of the zenith angle, and :math:`\beta`
938+ is the tilt angle of the array.
939+
940+ Implementation is based on Loutzenhiser et al.
941+ (2007) [3]_, Equation 8. The beam and ground reflectance portion of the
942+ equation have been removed, therefore the model described here generates
943+ ONLY the diffuse radiation from the sky and circumsolar, so the form of the
944+ equation varies slightly from Equation 8 in [3]_.
933945
934946 References
935947 ----------
936- .. [1] Loutzenhiser P.G. et. al. "Empirical validation of models to
937- compute solar irradiance on inclined surfaces for building energy
938- simulation" 2007, Solar Energy vol. 81. pp. 254-267
939-
940- .. [2] Reindl, D.T., Beckmann, W.A., Duffie, J.A., 1990a. Diffuse
948+ .. [1] Reindl, D. T., Beckmann, W. A., Duffie, J. A., 1990a. Diffuse
941949 fraction correlations. Solar Energy 45(1), 1-7.
942-
943- .. [3 ] Reindl, D.T., Beckmann, W.A., Duffie, J.A., 1990b. Evaluation of
950+ :doi:`10.1016/0038-092X(90)90060-P`
951+ .. [2 ] Reindl, D. T., Beckmann, W. A., Duffie, J. A., 1990b. Evaluation of
944952 hourly tilted surface radiation models. Solar Energy 45(1), 9-17.
953+ :doi:`10.1016/0038-092X(90)90061-G`
954+ .. [3] Loutzenhiser P. G. et. al., 2007. Empirical validation of models to
955+ compute solar irradiance on inclined surfaces for building energy
956+ simulation. Solar Energy 81(2), 254-267
957+ :doi:`10.1016/j.solener.2006.03.009`
945958 '''
946959
947960 cos_tt = aoi_projection (surface_tilt , surface_azimuth ,
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