این پژوهش یک مدل هندسی ساده و در عین حال کاربردی برای ارزیابی اثر سایه بر مقدار تابش دریافتی سامانه های فتوولتائیک حرارتی ارائه می دهد؛ در این روش، اثر سایه با تفکیک تابش مستقیم و پراکنده مدل سازی شده است؛ به طوری که ناحیه سایه به عنوان نقاط فاقد تابش مستقیم تعریف شده و ضریب تابش مستقیم بر اساس نسبت مساحت در معرض تابش بهکل سطح سامانه به دست می آید. همچنین ضریب تابش پراکنده با استفاده از ضریب دید سامانه به سایه انداز، سهم تابش آسمان را محاسبه می نماید. سادگی روابط هندسی به کار رفته، امکان برآورد سریع و در عین حال دقیق تابش دریافتی را فراهم می سازد و مدل را برای تحلیل های مهندسی در شرایط مختلف سایه اندازی، بدون محدودیت در ابعاد یا موقعیت سایه انداز، مناسب می کند. برای ارزیابی عملکرد مدل، نتایج حاصل از مدل پیشنهادی با حل یک نمونه عددی با داده های منابع معتبر مقایسه شد. این مقایسه نشان می دهد که میانگین اختلاف مطلق برابر با 11 درصد است. مشخص گردید مدل پیشنهادی دارای عملکرد بهتری نسبت به مدل تحلیلی مورد قیاس بوده و می تواند به عنوان ابزاری کارآمد جهت برآورد تابش دریافتی سامانه های فتوولتائیک حرارتی یکپارچه در ساختمان مورد استفاده قرار گیرد.
[1]O. Bingöl and B. Özkaya, "Analysis and comparison of different PV array configurations under partial shading conditions," Solar Energy, vol. 160, pp. 336–343, 2018, doi: https://doi.org/10.1016/j.solener.2017.12.004.
[2]S. R. Pendem and S. Mikkili, "Modelling and performance assessment of PV array topologies under partial shading conditions to mitigate the mismatching power losses," Solar Energy, vol. 160, pp. 303–321, 2018, doi: https://doi.org/10.1016/j.solener.2017.12.010.
[3]Y. Cascone, V. Corrado, and V. Serra, "Calculation procedure of the shading factor under complex boundary conditions," Solar Energy, vol. 85, no. 10, pp. 2524–2539, 2011, doi: https://doi.org/10.1016/j.solener.2011.07.011.
[4]M. Tripathy, S. Yadav, P. Sadhu, and S. Panda, "Determination of optimum tilt angle and accurate insolation of BIPV panel influenced by adverse effect of shadow," Renewable Energy, vol. 104, pp. 211–223, 2017, doi: https://doi.org/10.1016/j.renene.2016.12.034.
[5]S. Yadav, S. Panda, and M. Tripathy, "Performance of building integrated photovoltaic thermal system with PV module installed at optimum tilt angle and influenced by shadow," Renewable Energy, vol. 127, pp. 11–23, 2018, doi: https://doi.org/10.1016/j.renene.2018.04.030.
[6]S. Yadav, S. Panda, and C. Hachem-Vermette, "Optimum azimuth and inclination angle of BIPV panel owing to different factors influencing the shadow of adjacent building," Renewable Energy, vol. 162, pp. 381–396, 2020, doi: https://doi.org/10.1016/j.renene.2020.08.018.
[7]S. Yadav, C. Hachem-Vermette, S. K. Panda, G. Tiwari, and S. S. Mohapatra, "Determination of optimum tilt and azimuth angle of BiSPVT system along with its performance due to shadow of adjacent buildings," Solar Energy, vol. 215, pp. 206–219, 2021, doi: https://doi.org/10.1016/j.solener.2020.12.033.
[8]D. Tschopp, A. R. Jensen, J. Dragsted, P. Ohnewein, and S. Furbo, "Measurement and modeling of diffuse irradiance masking on tilted planes for solar engineering applications," Solar Energy, vol. 231, pp. 365–378, 2022, doi: https://doi.org/10.1016/j.solener.2021.10.083.
[9]N. Jiang, F. Li, M. Tan, H. Yu, A. Qu, and H. Feng, "Three-dimensional shading models for estimating global radiation on photovoltaic module," Renewable Energy, vol. 242, p. 122333, 2025, doi: https://doi.org/10.1016/j.renene.2024.122333.
[10]W. Chen, D. H. Li, S. Li, and S. Lou, "Predicting diffuse solar irradiance on obstructed building façades under irregular skyline patterns for various ISO/CIE standard skies," Journal of Building Engineering, vol. 40, p. 102370, 2021, doi: https://doi.org/10.1016/j.jobe.2021.102370.
[11]Z. Liu, X. Zhou, X. Shen, H. Sun, and D. Yan, "A novel acceleration approach to shadow calculation based on sunlight channel for urban building energy modeling," Energy and Buildings, vol. 315, p. 114244, 2024, doi: https://doi.org/10.1016/j.enbuild.2024.114244.
[12]X. Wang et al., "A novel and efficient method for calculating beam shadows on exterior surfaces of buildings in dense urban contexts," Building and Environment, vol. 229, p. 109937, 2023, doi: https://doi.org/10.1016/j.buildenv.2022.109937.
[13]A. P. de Almeida Rocha, G. Reynoso-Meza, R. C. Oliveira, and N. Mendes, "A pixel counting based method for designing shading devices in buildings considering energy efficiency, daylight use and fading protection," Applied Energy, vol. 262, p. 114497, 2020, doi: https://doi.org/10.1016/j.apenergy.2020.114497.
[14]M. T. Araji and A. Waqas, "Integrated deep learning and image processing method for modeling energy loss due to shadows in solar arrays," Solar Energy, vol. 297, p. 113623, 2025, doi: https://doi.org/10.1016/j.solener.2025.113623.
[15]U. S. DOE. EnergyPlus™ Version 24.1.0 Documentation, Washington, DC, 2024. [Online]. Available: https://energyplus.net/downloads.
[17]J. Howell, "A Catalog of Radiation Heat Transfer Configuration Factors," University of Texas at Austin, Austin, TX, 2012. [Online]. Available: https://www.thermalradiation.net
[18]J. R. C. European Commission. "Photovoltaic Geographical Information System (PVGIS) – ERA5 Reanalysis Data." https://re.jrc.ec.europa.eu/pvg_tools/en accessed.
[19]M. Tripathy, H. Joshi, and S. Panda, "Energy payback time and life-cycle cost analysis of building integrated photovoltaic thermal system influenced by adverse effect of shadow," Applied energy, vol. 208, pp. 376–389, 2017, doi: https://doi.org/10.1016/j.apenergy.2017.10.025.
[20]M. F. Modest and S. Mazumder, Radiative heat transfer. Academic press, 2021.