A New Approach to Estimate the Distribution of Solar Radiation Using Linke Turbidity Factor and Tilt Angle

Abstract

Our study aims to focus on the sunlight coming to the earth and the different intensity that has a strong relationship with the number of days in the year, and therefore we have taken these values throughout the year in the city of Biskra, Algeria. Based on the information we wanted to introduce some effects, for example, some atmospheric compounds and also the angle of inclination that receives sunlight knowing that the total sunlight is composed of two direct and diffuse compounds. Our study focuses on the creation of a mathematical model that helps us to include all the effects of atmospheric compounds, which are CO2 and O3. Finally, water vapor with the angstrom factor and all these values are within the Link Air Factor and create another mathematical model that calculates the total solar radiation as a function to direct solar radiation, and diffuse solar radiation, each of which is a function in the angle of inclination and a function in the angle of elevation of the sun and also a function in the coefficient of the atmospheric Linke. Finally, satisfactory results are obtained with the least relative errors. The predicted results were remarkably close and proportional to the changes of the solar radiation with the Link’s atmospheric factor and tilt angle. The average daily global radiation in Biskra (34.8 N latitude, 5.73 E longitude) is predicted with good estimations.