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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.


Seasonal and annual 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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f3-sensors-08-02913: Seasonal and annual changes in calculated and predicted optimum tilt angles (degrees) for seven cities selected as representatives of major climate zones in Turkey.

Mentions: The fact that adjusting the tilt angle to its monthly optimum values throughout the year does not seem to be practical gives rise to the consideration of changing the tilt angle once seasonally. The fixed optimum tilt angles for each season of winter (December to February), spring (March to May), summer (June to August), and autumn (September to November) were determined as an average of monthly solar radiation values for that season. The optimum tilt angles for the seasons were found to be λ -3.41° for autumn; λ + 8.14° for winter; λ - 23.92° for spring; and λ - 35.17° for summer in Turkey. The magnitude of the seasonal deviation between predicted and calculated tilt angles ranged from -9.81 to 7.21° in the winter; -4.87 to 4.75° in the spring; -1.37 to 2.83° in the summer; and -6.36 to 6.26° in the autumn, based on the 158 locations in Turkey. Seasonal and annual changes predicted and calculated for optimum tilt angles were given for the cities according to the seven major climate zones of Turkey in Fig. 3.


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

f3-sensors-08-02913: Seasonal and annual changes in calculated and predicted optimum tilt angles (degrees) for seven cities selected as representatives of major climate zones in Turkey.
Mentions: The fact that adjusting the tilt angle to its monthly optimum values throughout the year does not seem to be practical gives rise to the consideration of changing the tilt angle once seasonally. The fixed optimum tilt angles for each season of winter (December to February), spring (March to May), summer (June to August), and autumn (September to November) were determined as an average of monthly solar radiation values for that season. The optimum tilt angles for the seasons were found to be λ -3.41° for autumn; λ + 8.14° for winter; λ - 23.92° for spring; and λ - 35.17° for summer in Turkey. The magnitude of the seasonal deviation between predicted and calculated tilt angles ranged from -9.81 to 7.21° in the winter; -4.87 to 4.75° in the spring; -1.37 to 2.83° in the summer; and -6.36 to 6.26° in the autumn, based on the 158 locations in Turkey. Seasonal and annual changes predicted and calculated for optimum tilt angles were given for the cities according to the seven major climate zones of Turkey in Fig. 3.

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.