Multiple nonlinear regression model for predicting the optical performances of dielectric crossed compound parabolic concentrator (dCCPC)

As a typical type of three-dimensional compound parabolic concentrator (CPC), dielectric crossed compound parabolic concentrator (dCCPC) has drawn a significant research attention in these years to explore its angular characteristics in solar collection for concentrating photovoltaics and daylightin...

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Main Authors: Tian, Meng, Su, Yuehong
Format: Article
Published: Elsevier 2018
Subjects:
Online Access:https://eprints.nottingham.ac.uk/47944/
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author Tian, Meng
Su, Yuehong
author_facet Tian, Meng
Su, Yuehong
author_sort Tian, Meng
building Nottingham Research Data Repository
collection Online Access
description As a typical type of three-dimensional compound parabolic concentrator (CPC), dielectric crossed compound parabolic concentrator (dCCPC) has drawn a significant research attention in these years to explore its angular characteristics in solar collection for concentrating photovoltaics and daylighting control in buildings. Optical efficiency and transmittance are the main performance indicators to evaluate a dCCPC which may be base-coated as a receiver or non-coated for daylighting. The most common way to accurately determine the performance of a dCCPC is through ray-tracing simulation which requires advanced optical analysis software and lots of time. To facilitate the annual performance evaluation of dCCPC, this study puts forward several mathematical models for multiple nonlinear regression based on a mass of simulation results. The models can predict the transmittance of non-coated dCCPC and the both of transmittance and optical efficiency of base-coated dCCPC from several sky parameters, respectively. The agreement between predicted and simulated values is generally satisfactory. The coefficient of determination (R2) for each model is higher than 0.94 and the mean square error (MSE) is less than 0.002. Six specific time among the whole year are selected to verify the reliability of the prediction models in practice. The limitation and significance of these models are discussed as well. The regression models provide a convenient and accurate approach to predict the optical performance of dCCPC.
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spelling nottingham-479442020-05-04T19:24:45Z https://eprints.nottingham.ac.uk/47944/ Multiple nonlinear regression model for predicting the optical performances of dielectric crossed compound parabolic concentrator (dCCPC) Tian, Meng Su, Yuehong As a typical type of three-dimensional compound parabolic concentrator (CPC), dielectric crossed compound parabolic concentrator (dCCPC) has drawn a significant research attention in these years to explore its angular characteristics in solar collection for concentrating photovoltaics and daylighting control in buildings. Optical efficiency and transmittance are the main performance indicators to evaluate a dCCPC which may be base-coated as a receiver or non-coated for daylighting. The most common way to accurately determine the performance of a dCCPC is through ray-tracing simulation which requires advanced optical analysis software and lots of time. To facilitate the annual performance evaluation of dCCPC, this study puts forward several mathematical models for multiple nonlinear regression based on a mass of simulation results. The models can predict the transmittance of non-coated dCCPC and the both of transmittance and optical efficiency of base-coated dCCPC from several sky parameters, respectively. The agreement between predicted and simulated values is generally satisfactory. The coefficient of determination (R2) for each model is higher than 0.94 and the mean square error (MSE) is less than 0.002. Six specific time among the whole year are selected to verify the reliability of the prediction models in practice. The limitation and significance of these models are discussed as well. The regression models provide a convenient and accurate approach to predict the optical performance of dCCPC. Elsevier 2018-01-01 Article PeerReviewed Tian, Meng and Su, Yuehong (2018) Multiple nonlinear regression model for predicting the optical performances of dielectric crossed compound parabolic concentrator (dCCPC). Solar Energy, 159 . pp. 212-225. ISSN 1471-1257 Dielectric crossed compound parabolic concentrator (dCCPC); Transmittance; Optical efficiency; Mathematical model; Multiple nonlinear regression; Clear sky https://doi.org/10.1016/j.solener.2017.10.090 doi:10.1016/j.solener.2017.10.090 doi:10.1016/j.solener.2017.10.090
spellingShingle Dielectric crossed compound parabolic concentrator (dCCPC); Transmittance; Optical efficiency; Mathematical model; Multiple nonlinear regression; Clear sky
Tian, Meng
Su, Yuehong
Multiple nonlinear regression model for predicting the optical performances of dielectric crossed compound parabolic concentrator (dCCPC)
title Multiple nonlinear regression model for predicting the optical performances of dielectric crossed compound parabolic concentrator (dCCPC)
title_full Multiple nonlinear regression model for predicting the optical performances of dielectric crossed compound parabolic concentrator (dCCPC)
title_fullStr Multiple nonlinear regression model for predicting the optical performances of dielectric crossed compound parabolic concentrator (dCCPC)
title_full_unstemmed Multiple nonlinear regression model for predicting the optical performances of dielectric crossed compound parabolic concentrator (dCCPC)
title_short Multiple nonlinear regression model for predicting the optical performances of dielectric crossed compound parabolic concentrator (dCCPC)
title_sort multiple nonlinear regression model for predicting the optical performances of dielectric crossed compound parabolic concentrator (dccpc)
topic Dielectric crossed compound parabolic concentrator (dCCPC); Transmittance; Optical efficiency; Mathematical model; Multiple nonlinear regression; Clear sky
url https://eprints.nottingham.ac.uk/47944/
https://eprints.nottingham.ac.uk/47944/
https://eprints.nottingham.ac.uk/47944/