CALCULATION AND OPTIMIZATION METHOD OF RADIATION ON INCLINED SURFACES IN MULTI-ROW PHOTOVOLTAIC SYSTEMS ACCOUNTING FOR SHADOW SHADING

Li Fen; Feng Honglei; Qu Aifang; Tan Minhui; Mao Ling; Sun Gaiping

doi:10.19912/j.0254-0096.tynxb.2024-2383

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Acta Energiae Solaris Sinica ›› 2026, Vol. 47 ›› Issue (5) : 671-682. DOI: 10.19912/j.0254-0096.tynxb.2024-2383

CALCULATION AND OPTIMIZATION METHOD OF RADIATION ON INCLINED SURFACES IN MULTI-ROW PHOTOVOLTAIC SYSTEMS ACCOUNTING FOR SHADOW SHADING

Li Fen¹, Feng Honglei¹, Qu Aifang², Tan Minhui², Mao Ling¹, Sun Gaiping¹

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Abstract

In this paper, 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.

Key words

photovoltaic system / total radiation on inclined surface / shading / view factor / optimization

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Li Fen, Feng Honglei, Qu Aifang, Tan Minhui, Mao Ling, Sun Gaiping. CALCULATION AND OPTIMIZATION METHOD OF RADIATION ON INCLINED SURFACES IN MULTI-ROW PHOTOVOLTAIC SYSTEMS ACCOUNTING FOR SHADOW SHADING[J]. Acta Energiae Solaris Sinica. 2026, 47(5): 671-682 https://doi.org/10.19912/j.0254-0096.tynxb.2024-2383

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