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Energies 2015, 8(2), 1025-1041; doi:10.3390/en8021025

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

Department of Electrical Engineering, Poznan University of Technology, Piotrowo 3a Street, 60-965 Poznań, Poland
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Academic Editor: Peter J.S. Foot
Received: 3 November 2014 / Accepted: 16 January 2015 / Published: 30 January 2015
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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. View Full-Text
Keywords: solar radiation; mathematical model; tracking system; elevation angle; photovoltaic module solar radiation; mathematical model; tracking system; elevation angle; photovoltaic module
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Frydrychowicz-Jastrzębska, G.; Bugała, A. Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic Conversion. Energies 2015, 8, 1025-1041.

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