Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic Conversion

Abstract

Abstract:The paper presents selected isotropic and anisotropic mathematical models to calculate the distribution of solar radiation on the photovoltaic module plane with any spatial orientation. A comparison of solar radiation models for Poland is based on measured data and received from the Institute of Meteorology and Water Management. Power density of solar radiation for different angular positions, especially for representative days of each month, was calculated. Based on the statistical analysis of the percentage root-mean-square error (RMSE%), mean-bias error (MBE%) and the Pearson correlation coefficient of an individual mathematical model, our own correction factor for diffuse radiation was proposed. A modified Liu-Jordan model was compared with six common mathematical models showing better agreement of measured and calculated values of solar radiation density. The presented analysis explains which mathematical model is the most suitable for central Poland (Poznań, 52°25' N, 16°56' E) and shows the validity of applying the modified model to improve the accuracy of determination of the radiation power density for a given elevation and azimuth angle using values for a horizontal plane.

Statistical analysis of the electric energy production from photovoltaic conversion using mobile and fixed constructions

“…The method of determination of the recommended days of the year with their calculation for the typical meteorological year of Poznan was presented in [38]. 18.01.2015) with strongly random distribution of the surface density of the solar power radiation.…”

“…Due to strongly stochastic character of obtaining energy (sunlight depending on seasons of the year, weather conditions, etc. ), the results of the conducted tests were subject to statistical processing, which constitutes the main part of this article [4,5,[37][38][39][40][41][42][43]]. …”

Estimation of Hourly, Daily and Monthly Global Solar Radiation on Inclined Surfaces: Models Re-Visited

“…Isotropic models (Liu-Jordan, Badescu, Koronakis, Tian) and anisotropic models (Hay, Steven and Unsworth) were used to estimate the distribution of radiation power on photovoltaic planes slanted at 30 • , 45 • , and 60 • facing south. The outcomes demonstrated that the anisotropic models facilitated obtaining higher radiation throughout the year in comparison to isotropic models for the Polish latitude [65].…”

Determination of Yearly Fixed Optimal Tilt Angle for Flat-Plate Photovoltaic Modules Based on Perez Transposition Model

“…The two models differ by the way they determine the diffuse component of the radiation incident on a tilted plane. In the Hay model, the diffuse irradiance is divided into an isotropic contribution, and a "circumsolar" part, which is proportional to the beam component [21][22][23][24][25]. On the other hand, Perez-Ineichen model introduces the "horizon band" as a third diffuse component [19,26].…”