Developing a Mathematical Model to Estimate the Intensity of the Global Radiation

Abstract

This research aimed to create an empirical mathematical model to estimate the average monthly of total daily radiation of the global radiation in the middle of northeast Thailand. The model showed the ratio of the monthly average of daily radiation on the radiation outside the Earth's atmosphere which contains cloud index: n, ozone: l, perceptible water: w, and visibility: VIS, where: the value of n came from the data from meteorological satellites MTSAT-2, the value of l came from the data from AURA satellite, the value of w was calculated from temperature and humidity of the air, and the value of VIS came from the measurements from meteorological stations. For testing the performance of the model, the researchers calculated the average monthly of total daily radiation intensity at Maha Sarakham, Roi Et, Khon Kaen and Kalasin provincial meteorological stations. Then, the results were compared with the measured values. The comparison showed that the results from the calculation and measurement are consistent in the good standing. The Root Mean Square Difference value (RMSD) of the monthly average of total daily radiation intensity was between 5.25 to 13.82%. On the other hand, the Mean Bias Difference value (MBD) was negative within the range of -0.99 to -13.47%.

Keywords

• Mathematical model
• Meteorological satellites
• Global radiation