On the calculation of the optimum position of a horizontal single axis tracker under any sky conditions

Many current PV installations incorporate solar tracking systems that always seek to orient the surface of the modules as perpendicular as possible to the Sun (astronomical tracking). This position of the trackers is easy to calculate and allows to maximize the beam irradiance captured, which is by...

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Autores: Arrubla Irigoyen, Mikel, García Solano, Miguel, Marroyo Palomo, Luis, García Colomo, Iñigo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/55856
Acceso en línea:https://hdl.handle.net/2454/55856
Access Level:acceso abierto
Palabra clave:Diffuse irradiance model
Horizontal single axis tracker
Optimal tracking
Analytical solution
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spelling On the calculation of the optimum position of a horizontal single axis tracker under any sky conditionsArrubla Irigoyen, MikelGarcía Solano, MiguelMarroyo Palomo, LuisGarcía Colomo, IñigoDiffuse irradiance modelHorizontal single axis trackerOptimal trackingAnalytical solutionMany current PV installations incorporate solar tracking systems that always seek to orient the surface of the modules as perpendicular as possible to the Sun (astronomical tracking). This position of the trackers is easy to calculate and allows to maximize the beam irradiance captured, which is by far the largest component of irradiance on a sunny day. However, under other sky conditions, this positioning strategy does not necessarily maximize the total irradiance captured by the PV modules and other tracking strategies could increase the PV generation at no additional cost. The proper design and evaluation of such strategies requires to know the optimum position of a PV tracker as a function of the sky conditions, but the analytical calculation of that position is still an open question in the state of the art. In this paper, two analytical expressions have been developed to calculate the optimal position of a horizontal single-axis tracker under any sky condition. One of them uses a new isotropic-diffuse transposition factor developed in this paper to consider the influence of adjacent trackers in the diffuse irradiance received by modules. All the expressions proposed here have been experimentally validated in a PV installation specifically designed to measure the optimal position of a horizontal single-axis tracker. The experimental results not only allow to determine which of the proposed expressions better approaches the measured optimal position, but also to properly compare their impact on the total irradiation received by the PV modules.This work has been partially supported by the Spanish State Research Agency (AEI), Spain and the European Regional Development Fund (ERDF), European Union, under grant PID2019-110816RB-C21, and also by the Government of Navarra, Spain, which financed the hiring of the PhD student within the framework of the call for grants “Industrial Doctorates 2022”.ElsevierIngeniería Eléctrica, Electrónica y de ComunicaciónIngeniaritza Elektrikoa, Elektronikoa eta Telekomunikazio IngeniaritzaInstitute of Smart Cities - ISC2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2454/55856reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad Pública de NavarraInglésinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-110816RB-C21© 2025 The Author(s). This is an open access article under the CC BY-NC license.https://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/558562026-06-17T12:41:47Z
dc.title.none.fl_str_mv On the calculation of the optimum position of a horizontal single axis tracker under any sky conditions
title On the calculation of the optimum position of a horizontal single axis tracker under any sky conditions
spellingShingle On the calculation of the optimum position of a horizontal single axis tracker under any sky conditions
Arrubla Irigoyen, Mikel
Diffuse irradiance model
Horizontal single axis tracker
Optimal tracking
Analytical solution
title_short On the calculation of the optimum position of a horizontal single axis tracker under any sky conditions
title_full On the calculation of the optimum position of a horizontal single axis tracker under any sky conditions
title_fullStr On the calculation of the optimum position of a horizontal single axis tracker under any sky conditions
title_full_unstemmed On the calculation of the optimum position of a horizontal single axis tracker under any sky conditions
title_sort On the calculation of the optimum position of a horizontal single axis tracker under any sky conditions
dc.creator.none.fl_str_mv Arrubla Irigoyen, Mikel
García Solano, Miguel
Marroyo Palomo, Luis
García Colomo, Iñigo
author Arrubla Irigoyen, Mikel
author_facet Arrubla Irigoyen, Mikel
García Solano, Miguel
Marroyo Palomo, Luis
García Colomo, Iñigo
author_role author
author2 García Solano, Miguel
Marroyo Palomo, Luis
García Colomo, Iñigo
author2_role author
author
author
dc.contributor.none.fl_str_mv Ingeniería Eléctrica, Electrónica y de Comunicación
Ingeniaritza Elektrikoa, Elektronikoa eta Telekomunikazio Ingeniaritza
Institute of Smart Cities - ISC
dc.subject.none.fl_str_mv Diffuse irradiance model
Horizontal single axis tracker
Optimal tracking
Analytical solution
topic Diffuse irradiance model
Horizontal single axis tracker
Optimal tracking
Analytical solution
description Many current PV installations incorporate solar tracking systems that always seek to orient the surface of the modules as perpendicular as possible to the Sun (astronomical tracking). This position of the trackers is easy to calculate and allows to maximize the beam irradiance captured, which is by far the largest component of irradiance on a sunny day. However, under other sky conditions, this positioning strategy does not necessarily maximize the total irradiance captured by the PV modules and other tracking strategies could increase the PV generation at no additional cost. The proper design and evaluation of such strategies requires to know the optimum position of a PV tracker as a function of the sky conditions, but the analytical calculation of that position is still an open question in the state of the art. In this paper, two analytical expressions have been developed to calculate the optimal position of a horizontal single-axis tracker under any sky condition. One of them uses a new isotropic-diffuse transposition factor developed in this paper to consider the influence of adjacent trackers in the diffuse irradiance received by modules. All the expressions proposed here have been experimentally validated in a PV installation specifically designed to measure the optimal position of a horizontal single-axis tracker. The experimental results not only allow to determine which of the proposed expressions better approaches the measured optimal position, but also to properly compare their impact on the total irradiation received by the PV modules.
publishDate 2025
dc.date.none.fl_str_mv 2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2454/55856
url https://hdl.handle.net/2454/55856
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-110816RB-C21
dc.rights.none.fl_str_mv © 2025 The Author(s). This is an open access article under the CC BY-NC license.
https://creativecommons.org/licenses/by-nc/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv © 2025 The Author(s). This is an open access article under the CC BY-NC license.
https://creativecommons.org/licenses/by-nc/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname:Universidad Pública de Navarra
instname_str Universidad Pública de Navarra
reponame_str Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
collection Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
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