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measurement and comparison of solar radiation estimation models ...

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Togrul et al. (2002) developed some statistical relations in order to estimate<br />

monthly mean daily global <strong>solar</strong> <strong>radiation</strong> in Turkey. The global <strong>solar</strong> <strong>radiation</strong> was<br />

measured by Kipp pyranometer in 6 observation stations. Various regression analyses<br />

were applied to estimate monthly mean <strong>solar</strong> <strong>radiation</strong> in Turkey, by using the daily<br />

fraction <strong>of</strong> possible hours, (n/N), where n is the measured sunshine duration in a day<br />

<strong>and</strong> N is the theoretical day length <strong>of</strong> that day. Three statistical tests, root mean square<br />

error (RMSE) <strong>and</strong> mean bias error (MBE), <strong>and</strong> t-statistic were used to evaluate the<br />

accuracy <strong>of</strong> the correlations. It was seen that the equations which include the summer<br />

<strong>and</strong> winter periods gave better results than the others in all <strong>of</strong> the developed equations.<br />

2.2. Diffuse Solar Radiation<br />

Ulgen <strong>and</strong> Hepbasli (2001) showed the monthly-average global <strong>and</strong> diffuse <strong>solar</strong><br />

<strong>radiation</strong> data. The theoretical analysis <strong>of</strong> the monthly-average clearness index was<br />

defined. As a result, the value <strong>of</strong> the monthly-average global <strong>radiation</strong> varied from 5964<br />

kJ/m² in December to 27.154kJ/m² in June. The values <strong>of</strong> the monthly-average daily<br />

clearness index raged from 0.45 to 0.66. The developed <strong>models</strong> were found to be<br />

suitable <strong>and</strong> reliable.<br />

Ulgen <strong>and</strong> Hepbasli (2002) used hourly global <strong>and</strong> diffuse <strong>radiation</strong><br />

<strong>measurement</strong>s over a 5 year period to establish a relationship between the daily diffuse<br />

fraction <strong>and</strong> the daily clearness index for Izmir, Turkey. The <strong>comparison</strong>s <strong>of</strong> the results<br />

were done with other correlations available in the literature. After generating the results<br />

from 16 <strong>models</strong>, the best results were obtained from the higher order polynomial<br />

<strong>models</strong>.<br />

Aras et al. (2005) developed 12 new <strong>models</strong> for estimating monthly average<br />

daily diffuse <strong>solar</strong> <strong>radiation</strong> on a horizontal surface in the CAR <strong>and</strong> the diffuse <strong>solar</strong><br />

<strong>radiation</strong> <strong>models</strong> in the literature were analyzed in detail. In conclusion, the provinces in<br />

the CAR have almost the same diffuse <strong>solar</strong> <strong>radiation</strong> values.<br />

Tarhan <strong>and</strong> Sari (2004) analyzed global <strong>and</strong> diffuse <strong>solar</strong> <strong>radiation</strong> in 5 cities in<br />

the CBSR. A quadratic polynomial equation was empirically developed to predict the<br />

monthly average daily global <strong>radiation</strong>. A hybrid model was also developed based on<br />

the predictions <strong>of</strong> six existing <strong>models</strong>. As a result, the quadratic model has been chosen<br />

as the best model for the <strong>solar</strong> <strong>radiation</strong> data <strong>of</strong> the CBSR region.<br />

12

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