Table 7 Original equations obtained in this research for the estimation of solar radiation by SCE algorithm.

From: Calibration and validation of the Angstrom–Prescott model in solar radiation estimation using optimization algorithms

Station

A–P model

R2

Model 3

R2

Bandar Abbas

Rs = ( 0.38 + 0.35 × (n/N)) × Ra

0.841

Rs = (0.40 + (0.35 × (n/N)) − 0.0019 × (Tmax − Tmin) + 0.000 × (RHmean)) × Ra

0.840

Esfahan

Rs = (0.15 + 0.58 × (n/N)) × Ra

0.970

Rs = (0.15 + (0.58 × (n/N)) − 0.0004 × (Tmax − Tmin) + 0.000 × (RHmean)) × Ra

0.969

Kerman

Rs = (0.27 + 0.51 × (n/N)) × Ra

0.923

Rs = (0.29 + (0. 50 × (n/N)) − 0.0019 × (Tmax − Tmin) − 0.0003 × (RHmean)) × Ra

0.925

Mashhad

Rs = (0.22 + 0.62 × (n/N)) × Ra

0.981

Rs = (0.23 + (0.61 × (n/N)) − 0.0007 × (Tmax − Tmin) − 0.0001 × (RHmean)) × Ra

0.981

Shiraz

Rs = (0.25 + 0.53 × (n/N)) × Ra

0.923

Rs = (0.30 + (0.51 × (n/N)) − 0.0012 × (Tmax − Tmin) − 0.0007 × (RHmean)) × Ra

0.923

Yazd

Rs = (0.18 + 0.53 × (n/N)) × Ra

0.921

Rs = (0.24 + (0.65 × (n/N)) − 0.0035 × (Tmax − Tmin) − 0.0007 × (RHmean)) × Ra

0.925