Sensitivity of global solar irradiance to transposition models: Assessing risks associated with model discrepancies

Estimating solar irradiance is essential for solar energy systems evaluations, energy audit of buildings and. Global and sky-diffuse horizontal irradiances are measured by meteorological stations and satellites. Global horizontal solar irradiance is converted into a global tilted solar irradiance us...

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Main Authors: Yasser F. Nassar, Hala J. El-Khozondar, Mohamed M. Khaleel, Abdussalam A. Ahmed, Abdulgader H. Alsharif, Monaem Elmnifi, Mark Amoah Nyasapoh
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:e-Prime: Advances in Electrical Engineering, Electronics and Energy
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Online Access:http://www.sciencedirect.com/science/article/pii/S2772671124004649
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author Yasser F. Nassar
Hala J. El-Khozondar
Mohamed M. Khaleel
Abdussalam A. Ahmed
Abdulgader H. Alsharif
Monaem Elmnifi
Mark Amoah Nyasapoh
author_facet Yasser F. Nassar
Hala J. El-Khozondar
Mohamed M. Khaleel
Abdussalam A. Ahmed
Abdulgader H. Alsharif
Monaem Elmnifi
Mark Amoah Nyasapoh
author_sort Yasser F. Nassar
collection DOAJ
description Estimating solar irradiance is essential for solar energy systems evaluations, energy audit of buildings and. Global and sky-diffuse horizontal irradiances are measured by meteorological stations and satellites. Global horizontal solar irradiance is converted into a global tilted solar irradiance using transposition models (TMs). Despite its importance, many sites—especially isolated rural areas in need of sustainable energy sources—have a conspicuous dearth of information regarding these models. Significant errors can occur when choosing the incorrect TM for feasibility assessments or determining the optimum tilt angles (β) for solar collectors. A novel theory (Risky Index theory) for determining the least risky TM is introduced in this work. To evaluate and validate the proposed theory, eight commonly used TMs from literature, database platforms and software were chosen and tested on 133 sites with various climatic and geographical conditions in the Northern Hemisphere. The study concludes that risk index (RI) is <10 % for all models when the collector is facing south with low tilt angles (β<40°). However, for 40°< β<60° the RI rises above 15 %, and it becomes significant (RI<50 %) as β becomes close to vertical plane. The least risky TM was determined for each site. The results matched satisfactorily with other researchers’ outputs without exceeding 3.5 % of error. A unique TM has been recommended for the entire world corresponding to each interval of β.
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institution Kabale University
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publisher Elsevier
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series e-Prime: Advances in Electrical Engineering, Electronics and Energy
spelling doaj-art-23b8a0d5618444e69c32d036181e09342025-01-22T05:44:27ZengElseviere-Prime: Advances in Electrical Engineering, Electronics and Energy2772-67112025-03-0111100887Sensitivity of global solar irradiance to transposition models: Assessing risks associated with model discrepanciesYasser F. Nassar0Hala J. El-Khozondar1Mohamed M. Khaleel2Abdussalam A. Ahmed3Abdulgader H. Alsharif4Monaem Elmnifi5Mark Amoah Nyasapoh6Mechanical &amp; Renewable Energy Eng. Dept., Faculty of Eng., Wadi Alshatti University, Libya; Corresponding authors.Department of Electrical Eng. and Smart Systems, Islamic Univ. of Gaza, Gaza Strip, Palestine; Department of Materials and London Centre for Nanotechnology, Imperial College London, UK; Corresponding authors.Department of Electrical-Electronics Eng., Faculty of Eng., Karabuk University, Karabuk, TurkeyDepartment of Mechanical Eng., Faculty of Eng., Bani Waleed University, Bani Waleed, LibyaElectrical and Electronic Eng. Dept., Faculty of Technical Sciences-Sebha, Sebha, LibyaDepartment of Mechanical Eng. Technology, Belgorod Technological University, Belgorod, RussiaUniversity of Energy and Natural Resources (UENR), Sunyani, Ghana; Nuclear Power Institute of the Ghana Atomic Energy Commission, GhanaEstimating solar irradiance is essential for solar energy systems evaluations, energy audit of buildings and. Global and sky-diffuse horizontal irradiances are measured by meteorological stations and satellites. Global horizontal solar irradiance is converted into a global tilted solar irradiance using transposition models (TMs). Despite its importance, many sites—especially isolated rural areas in need of sustainable energy sources—have a conspicuous dearth of information regarding these models. Significant errors can occur when choosing the incorrect TM for feasibility assessments or determining the optimum tilt angles (β) for solar collectors. A novel theory (Risky Index theory) for determining the least risky TM is introduced in this work. To evaluate and validate the proposed theory, eight commonly used TMs from literature, database platforms and software were chosen and tested on 133 sites with various climatic and geographical conditions in the Northern Hemisphere. The study concludes that risk index (RI) is <10 % for all models when the collector is facing south with low tilt angles (β<40°). However, for 40°< β<60° the RI rises above 15 %, and it becomes significant (RI<50 %) as β becomes close to vertical plane. The least risky TM was determined for each site. The results matched satisfactorily with other researchers’ outputs without exceeding 3.5 % of error. A unique TM has been recommended for the entire world corresponding to each interval of β.http://www.sciencedirect.com/science/article/pii/S2772671124004649Risk indexTransposition modelsGlobal solar irradianceAnisotropic modelsIsotropic models
spellingShingle Yasser F. Nassar
Hala J. El-Khozondar
Mohamed M. Khaleel
Abdussalam A. Ahmed
Abdulgader H. Alsharif
Monaem Elmnifi
Mark Amoah Nyasapoh
Sensitivity of global solar irradiance to transposition models: Assessing risks associated with model discrepancies
e-Prime: Advances in Electrical Engineering, Electronics and Energy
Risk index
Transposition models
Global solar irradiance
Anisotropic models
Isotropic models
title Sensitivity of global solar irradiance to transposition models: Assessing risks associated with model discrepancies
title_full Sensitivity of global solar irradiance to transposition models: Assessing risks associated with model discrepancies
title_fullStr Sensitivity of global solar irradiance to transposition models: Assessing risks associated with model discrepancies
title_full_unstemmed Sensitivity of global solar irradiance to transposition models: Assessing risks associated with model discrepancies
title_short Sensitivity of global solar irradiance to transposition models: Assessing risks associated with model discrepancies
title_sort sensitivity of global solar irradiance to transposition models assessing risks associated with model discrepancies
topic Risk index
Transposition models
Global solar irradiance
Anisotropic models
Isotropic models
url http://www.sciencedirect.com/science/article/pii/S2772671124004649
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