Quaternion based solar irradiance forecast

This research proposes a new method based on quaternion rotations to calculate the expected irradiance from the Sun to a given surface. The method uses quaternion rotations and translation vectors to model the motions of objects, both proper and relative to each other, that are relevant for irradian...

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Main Authors: Attila Knolmajer, Ágnes Vathy-Fogarassy, Attila Fodor
Format: Article
Language:English
Published: AIDIC Servizi S.r.l. 2022-09-01
Series:Chemical Engineering Transactions
Online Access:https://www.cetjournal.it/index.php/cet/article/view/12699
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author Attila Knolmajer
Ágnes Vathy-Fogarassy
Attila Fodor
author_facet Attila Knolmajer
Ágnes Vathy-Fogarassy
Attila Fodor
author_sort Attila Knolmajer
collection DOAJ
description This research proposes a new method based on quaternion rotations to calculate the expected irradiance from the Sun to a given surface. The method uses quaternion rotations and translation vectors to model the motions of objects, both proper and relative to each other, that are relevant for irradiance. Using quaternion rotations, objects can be rotated along arbitrary axes in their coordinate system while preserving the orientation of the base coordinate system, and the origin of the base coordinate systems can be rotated relative to each other so that the transition between them can be solved by simple translation vectors. An additional goal of the method is to be able to replace the equatorial coordinate system, which is currently widely used, and provide easy scalability to add additional quaternion rotation. The generated irradiance values were compared with data measured by a meteorological station during the validation process. In the case of clear skies, the comparison resulted in a high degree of correlation, which shows usually above 0.95 correlation factor, between the data. Based on the correlation, the generated expected irradiance data can be used as a reference for teaching neural networks that can discriminate weather-induced variations in the data measured by solar power inverters. As a result, it can increase the efficiency of fault detection algorithms that enable more stable energy production and indirectly reduce the necessity of fossil fuel use.
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spelling doaj.art-d4bca9d61c0d4ddc8e9c67d2ac77537f2022-12-22T04:04:57ZengAIDIC Servizi S.r.l.Chemical Engineering Transactions2283-92162022-09-019410.3303/CET2294142Quaternion based solar irradiance forecastAttila KnolmajerÁgnes Vathy-FogarassyAttila FodorThis research proposes a new method based on quaternion rotations to calculate the expected irradiance from the Sun to a given surface. The method uses quaternion rotations and translation vectors to model the motions of objects, both proper and relative to each other, that are relevant for irradiance. Using quaternion rotations, objects can be rotated along arbitrary axes in their coordinate system while preserving the orientation of the base coordinate system, and the origin of the base coordinate systems can be rotated relative to each other so that the transition between them can be solved by simple translation vectors. An additional goal of the method is to be able to replace the equatorial coordinate system, which is currently widely used, and provide easy scalability to add additional quaternion rotation. The generated irradiance values were compared with data measured by a meteorological station during the validation process. In the case of clear skies, the comparison resulted in a high degree of correlation, which shows usually above 0.95 correlation factor, between the data. Based on the correlation, the generated expected irradiance data can be used as a reference for teaching neural networks that can discriminate weather-induced variations in the data measured by solar power inverters. As a result, it can increase the efficiency of fault detection algorithms that enable more stable energy production and indirectly reduce the necessity of fossil fuel use.https://www.cetjournal.it/index.php/cet/article/view/12699
spellingShingle Attila Knolmajer
Ágnes Vathy-Fogarassy
Attila Fodor
Quaternion based solar irradiance forecast
Chemical Engineering Transactions
title Quaternion based solar irradiance forecast
title_full Quaternion based solar irradiance forecast
title_fullStr Quaternion based solar irradiance forecast
title_full_unstemmed Quaternion based solar irradiance forecast
title_short Quaternion based solar irradiance forecast
title_sort quaternion based solar irradiance forecast
url https://www.cetjournal.it/index.php/cet/article/view/12699
work_keys_str_mv AT attilaknolmajer quaternionbasedsolarirradianceforecast
AT agnesvathyfogarassy quaternionbasedsolarirradianceforecast
AT attilafodor quaternionbasedsolarirradianceforecast