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Modeling Spatio-Temporal Dynamics of Optimum Tilt Angles for Solar Collectors in Turkey

View Article: PubMed Central

ABSTRACT

Quantifying spatial and temporal variations in optimal tilt angle of a solar collector relative to a horizontal position assists in maximizing its performance for energy collection depending on changes in time and space. In this study, optimal tilt angles were quantified for solar collectors based on the monthly global and diffuse solar radiation on a horizontal surface across Turkey. The dataset of monthly average daily global solar radiation was obtained from 158 places, and monthly diffuse radiation data were estimated using an empirical model in the related literature. Our results showed that high tilt angles during the autumn (September to November) and winter (December to February) and low tilt angles during the summer (March to August) enabled the solar collector surface to absorb the maximum amount of solar radiation. Monthly optimum tilt angles were estimated devising a sinusoidal function of latitude and day of the year, and their validation resulted in a high R2 value of 98.8%, with root mean square error (RMSE) of 2.06°.

No MeSH data available.


Monthly changes in calculated and predicted optimum tilt angles (degrees) for seven cities selected as representatives of major climate zones in Turkey.
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f2-sensors-08-02913: Monthly changes in calculated and predicted optimum tilt angles (degrees) for seven cities selected as representatives of major climate zones in Turkey.

Mentions: Comparison of monthly optimum tilt angles calculated (by Equations 1 to 11) and predicted (by Equation 14) from the 158 locations resulted in a good agreement with R2 of 98.8%, and root mean square error (RMSE) of 2.06° (P < 0.001). Validation of monthly predicted versus calculated optimum tilt angles had minimum and maximum R2 values of 99.1% in Gumushane and 100% in Sinop, respectively (P < 0.001). Monthly optimum tilt angles predicted in this study deviated in a range of -8.98 to 8.02° from the calculated ones. Validation results were presented for seven cities selected as the representatives of major climate zones of Turkey in Fig. 2. It is noticeable that the observed optimum tilt angles for the months of June and July are equal to zero for some locations in Turkey.


Modeling Spatio-Temporal Dynamics of Optimum Tilt Angles for Solar Collectors in Turkey
Monthly changes in calculated and predicted optimum tilt angles (degrees) for seven cities selected as representatives of major climate zones in Turkey.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3675523&req=5

f2-sensors-08-02913: Monthly changes in calculated and predicted optimum tilt angles (degrees) for seven cities selected as representatives of major climate zones in Turkey.
Mentions: Comparison of monthly optimum tilt angles calculated (by Equations 1 to 11) and predicted (by Equation 14) from the 158 locations resulted in a good agreement with R2 of 98.8%, and root mean square error (RMSE) of 2.06° (P < 0.001). Validation of monthly predicted versus calculated optimum tilt angles had minimum and maximum R2 values of 99.1% in Gumushane and 100% in Sinop, respectively (P < 0.001). Monthly optimum tilt angles predicted in this study deviated in a range of -8.98 to 8.02° from the calculated ones. Validation results were presented for seven cities selected as the representatives of major climate zones of Turkey in Fig. 2. It is noticeable that the observed optimum tilt angles for the months of June and July are equal to zero for some locations in Turkey.

View Article: PubMed Central

ABSTRACT

Quantifying spatial and temporal variations in optimal tilt angle of a solar collector relative to a horizontal position assists in maximizing its performance for energy collection depending on changes in time and space. In this study, optimal tilt angles were quantified for solar collectors based on the monthly global and diffuse solar radiation on a horizontal surface across Turkey. The dataset of monthly average daily global solar radiation was obtained from 158 places, and monthly diffuse radiation data were estimated using an empirical model in the related literature. Our results showed that high tilt angles during the autumn (September to November) and winter (December to February) and low tilt angles during the summer (March to August) enabled the solar collector surface to absorb the maximum amount of solar radiation. Monthly optimum tilt angles were estimated devising a sinusoidal function of latitude and day of the year, and their validation resulted in a high R2 value of 98.8%, with root mean square error (RMSE) of 2.06&deg;.

No MeSH data available.