we propose an improved radiation calculation model to address the challenges associated with the imprecise calculation of radiation on inclined surfaces under shading conditions. The model first utilizes atmospheric transmissivity to classify weather types
determine whether sunlight is obstructed by clouds
and analyze the beam radiation on the inclined surface based on the geometry of the sun's rays. This allows for the classification of shaded and unshaded areas both on the inclined surface and on the ground. Secondly
based on the classified weather types and view factor modeling
the anisotropic Hay model is employed to estimate diffuse radiation for clear and partly cloudy days with beam radiation
while the isotropic Liu-Jordan model is used for overcast days. Thirdly
the isotropic model calculates the reflected radiation using the view factor to both the ground and the rear surface of the panels. Finally
a mathematical model is developed to numerically analyze the variations in tilt angle
the distance between adjacent arrays
and total radiation
leading to the optimization of PV array installations. The results demonstrate that the model can accurately estimate total radiation under shading conditions and that this methad is practically applicable to the design of distributed photovoltaic systems.
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references
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