alternativeАльтернативная энергетика и экология (ISJAEE)Alternative Energy and Ecology (ISJAEE)1608-8298Международный издательский дом научной периодики "Спейс10.15518/isjaee.2025.02.027-037alternative-2599Research ArticleI. ВОЗОБНОВЛЯЕМАЯ ЭНЕРГЕТИКА 1. Солнечная энергетикаI. RENEWABLE ENERGY 1. Solar EnergyПрименение плоского зеркального отражения в фотоэлектрических системахApplication of plane mirror reflection in photovoltaic systemsЦиньЛисунаQinQin Lisongа

Цинь Лисун - аспирант УРФУ.

Екатеринбург, ул. Мира, 19

Qin Lisong graduate - student of Urfu.

Yekaterinburg, Mira st., 19

382445630@qq.comЩеклеинС. Е.ShchekleinS. E.

Щеклеин Сергей Евгеньевич - заведующий кафедрой «Атомные станции и возобновляемые источники энергии», профессор, доктор технических наук. Заслуженный энергетик России, лауреат Национальной экологической премии им. В. И. Вернадского.

Екатеринбург, ул. Мира, 19

Shcheklein Sergey Evgenievich - Head of the Department of Nuclear Power Plants and Renewable Energy Sources. Doctor of technical science, professor. Honored Power Engineer of Russia, laureate of the V. I. Vernadsky National Environmental Prize.

Yekaterinburg, Mira st., 19

НемихинЮ. Е.NemikhinY. E.

Немихин Юрий Евгеньевич - старший преподаватель.

Екатеринбург, ул. Мира, 19

Nemikhin Yurii Evgenievich - Senior Lecturer.

Yekaterinburg, Mira st., 19

Уральский федеральный университет имени первого Президента России Б.Н. ЕльцинаРоссияUral Federal University named after the first President of Russia B.N. Yeltsin RussiaRussian Federation202507042025022737Copyright © Международный издательский дом научной периодики "Спейс, 20252025Международный издательский дом научной периодики "СпейсМеждународный издательский дом научной периодики "Спейсhttps://www.isjaee.com/jour/about/submissions#copyrightNoticehttps://www.isjaee.com/jour/article/view/2599

В данном исследовании предложен метод повышения облученности фотоэлектрических (ФЭ) модулей с использованием плоских зеркал, направленный на увеличение энергетической эффективности за счёт геометрическо-оптической оптимизации. Экспериментально изучено влияние ключевых параметров: угла наклона зеркала (θ = 15°-85°), расстояния между зеркалом и ФЭ модулем (r = 1-10 м) и площади отражения (A = 1-5 м²) на пространственное распределение эффективной облученности. Результаты показывают, что при оптимальных параметрах (θ = 75° ± 5°, r = 3,2-4,1 м) достигается прирост облученности около 12,7%. Эта работа представляет собой справочную основу для проектирования несложных систем усиления отражающей способности, адаптированных к фотоэлектрическим приложениям.

This study proposes a planar mirror-based method to enhance irradiance on photovoltaic (PV) modules, aiming to improve energy output efficiency through geometric-optical optimization. The dynamic effects of critical parameters – including mirror rotation angle (θ = 15°-85°), mirror-to-PV distance (r = 1-10 m), and reflective area (A = 1-5 m²) – on the spatial distribution of effective irradiance were systematically investigated. Experimental results demonstrate that under optimal configurations (θ = 75° ± 5°, r =3,2-4,1 m), an irradiance gain of approximately 12,7% is achievable. This work provides a reference framework for designing low-complexity reflective enhancement systems tailored to PV applications.

солнечная энергияплоское зеркалозеркальное отражениефотоэлектрическая концентрирующая системафотовольтаикаплоские зеркала для фотоэлектричествагеометрико-оптическая оптимизациямалозатратные ФЭ системыsolar energyplane mirrorspecular reflectionphotovoltaic concentrating systemphotovoltaicplanar mirror photovoltaicsgeometric-optical optimizationLow-cost PV systemsReferencesZhang Lei. Discussion on the design method of two-reflection multi-plane mirror concentrated solar photovoltaic system // Hefei University of Technology, 2009.Zhang Lei. Discussion on the design method of two-reflection multi-plane mirror concentrated solar photovoltaic system // Hefei University of Technology, 2009.Fthenakis V. M., Kim H. C., Alsema E. Emissions from photovoltaic life cycles // Environmental science & technology, 2008, 42(6): 2168-2174.Fthenakis V. M., Kim H. C., Alsema E. Emissions from photovoltaic life cycles // Environmental science & technology, 2008, 42(6): 2168-2174.Fthenakis V. M., Kim H. C. Photovoltaics: Life-cycle analyses // Solar Energy, 2011, 85(8): 1609-1628.Fthenakis V. M., Kim H. C. Photovoltaics: Life-cycle analyses // Solar Energy, 2011, 85(8): 1609-1628.Peng J., Lu L., Yang H. Review on life cycle assessment of energy payback and greenhouse gas emission of solar photovoltaic systems // Renewable and sustainable energy reviews, 2013, 19: 255-274.Peng J., Lu L., Yang H. Review on life cycle assessment of energy payback and greenhouse gas emission of solar photovoltaic systems // Renewable and sustainable energy reviews, 2013, 19: 255-274.Zou Jiaying. Design and research of multi-mirror concentrated solar photovoltaic system // Hefei University of Technology, 2013.Zou Jiaying. Design and research of multi-mirror concentrated solar photovoltaic system // Hefei University of Technology, 2013.Wang Jianping, Zhang Lei. Discussion on the design method of two-reflection multi-mirror solar condenser // Energy Technology, 2009 (3):5.Wang Jianping, Zhang Lei. Discussion on the design method of two-reflection multi-mirror solar condenser // Energy Technology, 2009 (3):5.Zamani H., Moghiman M., Kianifar A. Optimization of the parabolic mirror position in a solar cooker using the response surface method (RSM) // Renewable Energy, 2015, 81: 753-759.Zamani H., Moghiman M., Kianifar A. Optimization of the parabolic mirror position in a solar cooker using the response surface method (RSM) // Renewable Energy, 2015, 81: 753-759.Chen Nuofu, Bai Yiming. Concentrated photovoltaic system // Physics, 2007, 36(11): 862-868.Chen Nuofu, Bai Yiming. Concentrated photovoltaic system // Physics, 2007, 36(11): 862-868.De Feo G., Forni M., Petito F. et al. Life cycle assessment and economic analysis of a low concentrating photovoltaic system // Environmental technology, 2016, 37(19): 2473-2482.De Feo G., Forni M., Petito F. et al. Life cycle assessment and economic analysis of a low concentrating photovoltaic system // Environmental technology, 2016, 37(19): 2473-2482.Sheng Fei. Research on key technologies of high efficiency concentrated solar cells and photovoltaic systems // Hubei University of Technology, 2015.Sheng Fei. Research on key technologies of high efficiency concentrated solar cells and photovoltaic systems // Hubei University of Technology, 2015.Pu Shaoxuan, Xia Chaofeng. Optical design of full-plane mirror reflecting solar condenser // Journal of Agricultural Engineering, 2011, 27(12): 282-285.Pu Shaoxuan, Xia Chaofeng. Optical design of full-plane mirror reflecting solar condenser // Journal of Agricultural Engineering, 2011, 27(12): 282-285.Yusuf A., Garcia D. A. Energy, exergy, economic, and environmental (4E) analysesofbifacialconcentratedthermoelectric-photovoltaicsystems // Energy, 2023, 282: 128921.Yusuf A., Garcia D. A. Energy, exergy, economic, and environmental (4E) analysesofbifacialconcentratedthermoelectric-photovoltaicsystems // Energy, 2023, 282: 128921.Lu Jiaqi, Zhang Ning, Yin Peng, etc. Research progress on the optical design type of solar photovoltaic condenser // Laser & Optoelectronics Progress, 2019, 56(23): 230002.Lu Jiaqi, Zhang Ning, Yin Peng, etc. Research progress on the optical design type of solar photovoltaic condenser // Laser & Optoelectronics Progress, 2019, 56(23): 230002.Jia Fuyun, Ma Mianjun, Sun Yanjie, etc. Optical design and optical efficiency of cylindrical Fresnel solar condenser lens // China Space Science and Technology, 2002, 22(6): 1-5.Jia Fuyun, Ma Mianjun, Sun Yanjie, etc. Optical design and optical efficiency of cylindrical Fresnel solar condenser lens // China Space Science and Technology, 2002, 22(6): 1-5.Zhang Qian. Theoretical analysis and experimental research of linear Fresnel reflective solar condenser // University of Science and Technology of China, 2013.Zhang Qian. Theoretical analysis and experimental research of linear Fresnel reflective solar condenser // University of Science and Technology of China, 2013.Zhang Ming, Huang Liangfu, Luo Chongtai, An Dongliang, Sun Yanjie, Wang Duoshu, Guo Juntao. Design and optical efficiency of flat Fresnel lens for space use // Optoelectronic Engineering, 2001(05):18-21.Zhang Ming, Huang Liangfu, Luo Chongtai, An Dongliang, Sun Yanjie, Wang Duoshu, Guo Juntao. Design and optical efficiency of flat Fresnel lens for space use // Optoelectronic Engineering, 2001(05):18-21.Korotkov V. V., Yavnov et al., Mitsura D. I. Solar collectors with a parabolic trough. A sustainable and efficient energy source // Bulletin of Science, 2024, 2(6 (75)): 2233-2240.Korotkov V. V., Yavnov et al., Mitsura D. I. Solar collectors with a parabolic trough. A sustainable and efficient energy source // Bulletin of Science, 2024, 2(6 (75)): 2233-2240.Bachhav C. Y., Sonawwanay P. D. Study on design and performance enhancement of Fresnel lens solar concentrator // Materials Today: Proceedings, 2022, 56: 2873-2879.Bachhav C. Y., Sonawwanay P. D. Study on design and performance enhancement of Fresnel lens solar concentrator // Materials Today: Proceedings, 2022, 56: 2873-2879.Zhang Yao. Optimized design of solar condenser mirror structure // University of Electronic Science and Technology, 2016.Zhang Yao. Optimized design of solar condenser mirror structure // University of Electronic Science and Technology, 2016.Xu Hongyu, Xu Cheng, Wu Lining, Yang Yongping. Design and performance analysis of secondary reflector multi-dish solar concentrator // Acta Energiae Solaris Sinica, 2022, 43(10): 126-132.Xu Hongyu, Xu Cheng, Wu Lining, Yang Yongping. Design and performance analysis of secondary reflector multi-dish solar concentrator // Acta Energiae Solaris Sinica, 2022, 43(10): 126-132.Sadchikov N. A., Andreeva A. V. Linear Fresnel lenses with reduced chromatic aberration for space solar panels // Letters to the Journal of Technical Physics, 2023, 49(23): 59-61.Sadchikov N. A., Andreeva A. V. Linear Fresnel lenses with reduced chromatic aberration for space solar panels // Letters to the Journal of Technical Physics, 2023, 49(23): 59-61.Pokotilov V. V., Rutkovsky M. A. Using solar energy to improve the energy efficiency of residential buildings: a reference guide // Minsk: UNDP/GEF, Department for Energy Efficiency of the State Standard of the Republic of Belarus. Belarus, 2015.Pokotilov V. V., Rutkovsky M. A. Using solar energy to improve the energy efficiency of residential buildings: a reference guide // Minsk: UNDP/GEF, Department for Energy Efficiency of the State Standard of the Republic of Belarus. Belarus, 2015.Sun Gang, Weng Ningquan, and Xiao Liming. Analysis on the statistical characteristics of atmospheric refractive index structure constant Cn~2 height distribution // Journal of Atmospheric and Environmental Optics, 2011, 6(02): 83-88.Sun Gang, Weng Ningquan, and Xiao Liming. Analysis on the statistical characteristics of atmospheric refractive index structure constant Cn~2 height distribution // Journal of Atmospheric and Environmental Optics, 2011, 6(02): 83-88.Li P. J., Liu T. X., Qin Y. L. et al. Design and performance investigation of modified dual reflector parabolic trough collector with double planar mirrors // Science China Technological Sciences, 2024, 67(3): 902-918.Li P. J., Liu T. X., Qin Y. L. et al. Design and performance investigation of modified dual reflector parabolic trough collector with double planar mirrors // Science China Technological Sciences, 2024, 67(3): 902-918.He Y. L., Wang K., Qiu Y. et al. Review of the solar flux distribution in concentrated solar power: Nonuniform features, challenges, and solutions // Applied Thermal Engineering, 2019, 149: 448-474.He Y. L., Wang K., Qiu Y. et al. Review of the solar flux distribution in concentrated solar power: Nonuniform features, challenges, and solutions // Applied Thermal Engineering, 2019, 149: 448-474.Sun Gang, Weng Ningquan, Xiao Liming, Ma Chengsheng. Distribution characteristics and analysis of atmospheric refractive index structure constant in different regions // High Power Laser and Particle Beams, 2005(04):485-490.Sun Gang, Weng Ningquan, Xiao Liming, Ma Chengsheng. Distribution characteristics and analysis of atmospheric refractive index structure constant in different regions // High Power Laser and Particle Beams, 2005(04):485-490.Li S., Xu J., Lou J. et al. Mirror Surface Assessment in Solar Power Applications by 2-D Coded Light //iEEE Transactions on Instrumentation and Measurement, 2019, 69(6): 3555-3565.Li S., Xu J., Lou J. et al. Mirror Surface Assessment in Solar Power Applications by 2-D Coded Light //iEEE Transactions on Instrumentation and Measurement, 2019, 69(6): 3555-3565.Zhang Kun, Luo Tao, Wang Fei-Fei, Sun Gang, Liu Qing, Qing Chun, Li Xuebin, Weng Ningquan, Zhu Wen-Yue. Influence of low clouds on atmospheric refractive index structure constant based on radiosonde data. Acta Phys. Sin., 2022, 71(8): 089202.Zhang Kun, Luo Tao, Wang Fei-Fei, Sun Gang, Liu Qing, Qing Chun, Li Xuebin, Weng Ningquan, Zhu Wen-Yue. Influence of low clouds on atmospheric refractive index structure constant based on radiosonde data. Acta Phys. Sin., 2022, 71(8): 089202.Marszałek K., Winkowski P., Jaglarz J. Optical properties of the Al2O3/SiO2 and Al2O3/HfO2/SiO2 antireflective coatings // Materials Science-Poland, 2014, 32: 80-87.Marszałek K., Winkowski P., Jaglarz J. Optical properties of the Al2O3/SiO2 and Al2O3/HfO2/SiO2 antireflective coatings // Materials Science-Poland, 2014, 32: 80-87.Kumar V. S. R. S. P., Kumar M., Kumari N. et al. Fabrication of Al2O3/SiO2 multilayer reflective filters with excellent uniformity for demanding optical interference filters // Materials research express, 2019, 6 (6): 066410.Kumar V. S. R. S. P., Kumar M., Kumari N. et al. Fabrication of Al2O3/SiO2 multilayer reflective filters with excellent uniformity for demanding optical interference filters // Materials research express, 2019, 6 (6): 066410.Zeng T., Zhu M., Chai Y. et al. Dichroic laser mirrors with mixture layers and sandwich-like-structure interfaces // Photonics Research, 2021, 9(2): 229-236.Zeng T., Zhu M., Chai Y. et al. Dichroic laser mirrors with mixture layers and sandwich-like-structure interfaces // Photonics Research, 2021, 9(2): 229-236.Wan L., Yang J., Liu X. et al. Enhanced antireflective and laser damage resistance of refractive-index gradient SiO2 nanostructured films at 1064 nm // Polish Journal of Chemical Technology, 2024, 26(2).Wan L., Yang J., Liu X. et al. Enhanced antireflective and laser damage resistance of refractive-index gradient SiO2 nanostructured films at 1064 nm // Polish Journal of Chemical Technology, 2024, 26(2).Gottschalk H., Saadi M. Shape gradients for the failure probability of a mechanic component under cyclic loading: a discrete adjoint approach // Computational Mechanics, 2019, 64: 895-915.Gottschalk H., Saadi M. Shape gradients for the failure probability of a mechanic component under cyclic loading: a discrete adjoint approach // Computational Mechanics, 2019, 64: 895-915.Martínez-Pañeda E., Deshpande V. S., Niordson C. F. et al. The role of plastic strain gradients in the crack growth resistance of metals // Journal of the Mechanics and Physics of Solids, 2019, 126: 136-150.Martínez-Pañeda E., Deshpande V. S., Niordson C. F. et al. The role of plastic strain gradients in the crack growth resistance of metals // Journal of the Mechanics and Physics of Solids, 2019, 126: 136-150.Shishvan S. S., Assadpour-asl S., Martinez-Paneda E. A mechanism-based gradient damage model for metallic fracture // Engineering Fracture Mechanics, 2021, 255: 107927.Shishvan S. S., Assadpour-asl S., Martinez-Paneda E. A mechanism-based gradient damage model for metallic fracture // Engineering Fracture Mechanics, 2021, 255: 107927.Che Shuping. Research on the optical and heat collection properties of linear Fresnel reflection system // Shandong: Shandong University, 2012.Che Shuping. Research on the optical and heat collection properties of linear Fresnel reflection system // Shandong: Shandong University, 2012.Qu Lixin. Environmental adaptability design of space mirror assembly // Photoelectric engineering, 2016, 43(5): 41-46.Qu Lixin. Environmental adaptability design of space mirror assembly // Photoelectric engineering, 2016, 43(5): 41-46.Apostoleris H., Stefancich M., Chiesa M. Tracking-integrated systems for concentrating photovoltaics // Nature Energy, 2016, 1(4): 1-8.Apostoleris H., Stefancich M., Chiesa M. Tracking-integrated systems for concentrating photovoltaics // Nature Energy, 2016, 1(4): 1-8.Díaz-Báñez J. M., Higes-López J. M., PérezCutiño M. A. et al. Optimal energy collection with rotational movement constraints in concentrated solar power plants // European Journal of Operational Research, 2024, 317(2): 631-642.Díaz-Báñez J. M., Higes-López J. M., PérezCutiño M. A. et al. Optimal energy collection with rotational movement constraints in concentrated solar power plants // European Journal of Operational Research, 2024, 317(2): 631-642.Lorilla F. M. A., Barroca R. Challenges and recent developments in solar tracking strategies for concentrated solar parabolic dish //indones. J. Electr. Eng. Comput. Sci, 2022, 26(3): 1368-1378.Lorilla F. M. A., Barroca R. Challenges and recent developments in solar tracking strategies for concentrated solar parabolic dish //indones. J. Electr. Eng. Comput. Sci, 2022, 26(3): 1368-1378.

The authors declare that there are no conflicts of interest present.