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Modeling the Incidence Angle Dependence of Photovoltaic Modules in PVsyst 
Junaid H. Fatehi, Kenneth J. Sauer 
Yingli Green Energy Americas, Inc., San Francisco, CA 94108, USA 
Abstract Results 
References 
Conclusion 
Method 
For reliable energy yield simulation, it is important to know how irradiance is 
transmitted through the glass front cover of a photovoltaic module. In this work, 
Fresnel reflection and Snell’s law are used to create a physical model to 
determine transmission as a function of incidence angle. The physical model is 
used to describe glass with and without an anti-reflective coating. An approach for 
optimizing the ASHRAE incidence angle modifier parameter in PVsyst to match 
the physical model output is presented and applied to both cases and the impact 
on energy yield estimates is demonstrated for various geographical locations. 
The results from the b0 optimizations using a year of incident irradiances and angles 
from four geographic locations as inputs and physical models with and without ARC 
are presented. 
A plot displaying the difference in annual energy yield from PVsyst simulations using 
the default and optimized b0 values is presented. When optimizing the b0 parameter 
to a physical model that includes a typical glass ARC for Yingli Solar modules, the 
simulation with the optimized b0 yields more energy than the simulation with the 
default b0 for all locations. In all cases, optimizing b0 results in a less than +/- 1% 
change in annual energy yield. However, for project financing these could already 
be decisive differences. 
A method for creating location and system specific incidence angle modifier 
parameters in the context of the ASHRAE model used in PVsyst has been 
described and applied to model a flat glass cover with and without an ARC. PVsyst 
allows the b0 parameter to be specified to the thousandth decimal place in the 
.PAN file as of version 6.23 of PVsyst so differences in the optimized b0 values 
over different system designs and locations can be appreciated. The optimization 
method introduced in this work is not limited to PVsyst and can be applied to any 
simulation software that uses the AHSRAE incidence angle modifier model. 
[1] Photovoltaic (PV) Module Performance Tasting and Energy Rating – Part 2: Spectral Response, Incidence Angle and Operating Temperature 
Measurements, IEC 61853-2 Draft K1, 2010. 
[2] A. Mermoud. (1994-2014). PVsyst (Version 6.23). [Computer Software]. Geneva, Switzerland: ISE, University of Geneva. Retrieved May 1, 2014. 
Available from www.pvsyst.com. 
[3] A. Mermoud and T. Lejeune, "Performance assessment of a simulation model for PV modules of any available technology," in 25th European 
Photovoltaic Solar Energy Conference, Valencia (Spain), pp. 4786-4791, 2010. 
[4] A. C. Hardy and F. H. Perrin, “General concepts,” in The Principles of Optics, 1st ed., New York and London, McGraw-Hill, 1932, pp. 25-28. 
[5] Methods of Testing to Determine the Thermal Performance of Solar Collectors, ASHRAE Standard 93-77, 1978. 
[6] Yingli Solar glass supplier, private communication, Jan., 2013. 
Non-ARC ARC 
b0 
Opt. RMSD 
[W/m2] 
Def. RMSD 
[W/m2] 
b0 
Opt. RMSD 
[W/m2] 
Def. RMSD 
[W/m2] 
Berlin 0.051 1.87 1.87 0.040 1.72 1.91 
Antofagasta 0.045 3.10 3.18 0.035 2.74 3.54 
Phoenix 0.056 4.62 4.78 0.045 4.31 4.47 
Trivandrum 0.042 2.23 2.40 0.032 1.92 2.83 
Physical 
Model 
Incident 
Irradiance 
Incidence 
Angle 
ASHRAE 
Model 
b0 = 0 to 0.1 
Transmitted 
Irradiance 
Transmitted 
Irradiance 
RMSD 
0 20 40 60 80 
0 
0.2 
0.4 
0.6 
0.8 
1 
Angle of Incidence 
Incidence Angle Modifier 
ASHRAE b 
0 
= 0.05 
Physical Model w/o ARC 
Physical Model w/ ARC 
-0.4% 
-0.2% 
0.0% 
0.2% 
0.4% 
0.6% 
0.8% 
1.0% 
Berlin Antofagasta Phoenix Trivandrum 
Anual Energy Difference Between 
Optimized and Default b0 
Optimized without ARC 
Optimized with ARC

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Modeling the Incidence Angle Dependence of PV Modules in PVsyst

  • 1. Modeling the Incidence Angle Dependence of Photovoltaic Modules in PVsyst Junaid H. Fatehi, Kenneth J. Sauer Yingli Green Energy Americas, Inc., San Francisco, CA 94108, USA Abstract Results References Conclusion Method For reliable energy yield simulation, it is important to know how irradiance is transmitted through the glass front cover of a photovoltaic module. In this work, Fresnel reflection and Snell’s law are used to create a physical model to determine transmission as a function of incidence angle. The physical model is used to describe glass with and without an anti-reflective coating. An approach for optimizing the ASHRAE incidence angle modifier parameter in PVsyst to match the physical model output is presented and applied to both cases and the impact on energy yield estimates is demonstrated for various geographical locations. The results from the b0 optimizations using a year of incident irradiances and angles from four geographic locations as inputs and physical models with and without ARC are presented. A plot displaying the difference in annual energy yield from PVsyst simulations using the default and optimized b0 values is presented. When optimizing the b0 parameter to a physical model that includes a typical glass ARC for Yingli Solar modules, the simulation with the optimized b0 yields more energy than the simulation with the default b0 for all locations. In all cases, optimizing b0 results in a less than +/- 1% change in annual energy yield. However, for project financing these could already be decisive differences. A method for creating location and system specific incidence angle modifier parameters in the context of the ASHRAE model used in PVsyst has been described and applied to model a flat glass cover with and without an ARC. PVsyst allows the b0 parameter to be specified to the thousandth decimal place in the .PAN file as of version 6.23 of PVsyst so differences in the optimized b0 values over different system designs and locations can be appreciated. The optimization method introduced in this work is not limited to PVsyst and can be applied to any simulation software that uses the AHSRAE incidence angle modifier model. [1] Photovoltaic (PV) Module Performance Tasting and Energy Rating – Part 2: Spectral Response, Incidence Angle and Operating Temperature Measurements, IEC 61853-2 Draft K1, 2010. [2] A. Mermoud. (1994-2014). PVsyst (Version 6.23). [Computer Software]. Geneva, Switzerland: ISE, University of Geneva. Retrieved May 1, 2014. Available from www.pvsyst.com. [3] A. Mermoud and T. Lejeune, "Performance assessment of a simulation model for PV modules of any available technology," in 25th European Photovoltaic Solar Energy Conference, Valencia (Spain), pp. 4786-4791, 2010. [4] A. C. Hardy and F. H. Perrin, “General concepts,” in The Principles of Optics, 1st ed., New York and London, McGraw-Hill, 1932, pp. 25-28. [5] Methods of Testing to Determine the Thermal Performance of Solar Collectors, ASHRAE Standard 93-77, 1978. [6] Yingli Solar glass supplier, private communication, Jan., 2013. Non-ARC ARC b0 Opt. RMSD [W/m2] Def. RMSD [W/m2] b0 Opt. RMSD [W/m2] Def. RMSD [W/m2] Berlin 0.051 1.87 1.87 0.040 1.72 1.91 Antofagasta 0.045 3.10 3.18 0.035 2.74 3.54 Phoenix 0.056 4.62 4.78 0.045 4.31 4.47 Trivandrum 0.042 2.23 2.40 0.032 1.92 2.83 Physical Model Incident Irradiance Incidence Angle ASHRAE Model b0 = 0 to 0.1 Transmitted Irradiance Transmitted Irradiance RMSD 0 20 40 60 80 0 0.2 0.4 0.6 0.8 1 Angle of Incidence Incidence Angle Modifier ASHRAE b 0 = 0.05 Physical Model w/o ARC Physical Model w/ ARC -0.4% -0.2% 0.0% 0.2% 0.4% 0.6% 0.8% 1.0% Berlin Antofagasta Phoenix Trivandrum Anual Energy Difference Between Optimized and Default b0 Optimized without ARC Optimized with ARC