Reflection and Refraction

This routine computes losses due to optical effects at the module level, namely reflection and refraction losses on the sunny-side glass superstrate. This is known as the incidence angle modifier (IAM). Three models are supported: Sandia, ASHRAE, and Tabular.

Sandia IAM

This model computes the incidence angle modifier coefficients based on the Sandia method.

Inputs

 

Outputs

 

Algorithm

Sandia IAM Algo75
Only the beam component ΘEff,D is treated here. Furthermore, it was observed that the best fit of the IAM coefficients for both FSLR anti-reflective coating (ARC) and regular non-ARC modules shows an oscillation below incidence angles of 34°, as shown in Figure 32.

Sandia IAM Figure 15-1
Sandia IAM Figure 15-2
 

Figure 32. Comparison of Custom IAM Profile with Sandia Polynomial, Showing Oscillation for Incidence Angles Lower than 34°

 

 

To avoid this artifact, the polynomial is clipped to force the IAM to unity, as follows:

Sandia IAM Algo 76

Reference

King, D. L., Kratochvil, J.A., Boyson, W.L., Measuring Solar Spectral and Angle-of-Incidence Effects on Photovoltaic Modules and Solar Irradiance Sensors. Sandia National Laboratories, Albuquerque, NM, September 1997.

ASHRAE Direct Beam IAM

This model uses the incidence angle modifier coefficients based on the ASHRAE parameterization.

Inputs

 

Outputs

 

Algorithm (Direct Beam Component)

1.) Compute the direct beam incidence angle attenuation coefficient as a function of the incidence angle.

ASHRAE Algo 77
2.) The incidence angle function approaches a singularity and is only valid at incidence angles less than 87°.

ASHRAE Algo 78
3.) Reject all shading factors where the sun is found to be behind the plane of the array, i.e. the back of the module may be lit if the solar incidence angle is less than zero:

ASHRAE Algo 79
The shading factor here is assigned to a value of -1 (in order to distinguish it from 0 (fully shaded) and 1 (unshaded). A negative shading factor does not have any effect on the irradiance and will not contribute to the “shading loss” calculation.

Tabular IAM

This model uses incidence angle modifier coefficients defined in a table in the Module file.

Inputs

 

Outputs

 

Algorithm (Direct Beam Component)

 

1.) Calculate the direct beam incidence angle modifier by doing a cubic spline interpolation on IAM tabular values.

TabularIAM Algo80
2.) If μIAM,B is greater than 1, set it to 1.

TabularIAM Algo81