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

Author

Listed:
  • Grażyna Frydrychowicz-Jastrzębska

    (Department of Electrical Engineering, Poznan University of Technology, Piotrowo 3a Street, 60-965 Poznań, Poland)

  • Artur Bugała

    (Department of Electrical Engineering, Poznan University of Technology, Piotrowo 3a Street, 60-965 Poznań, Poland)

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.

Suggested Citation

  • Grażyna Frydrychowicz-Jastrzębska & Artur Bugała, 2015. "Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic Conversion," Energies, MDPI, vol. 8(2), pages 1-17, January.
    • Handle: RePEc:gam:jeners:v:8:y:2015:i:2:p:1025-1041:d:45322
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    References listed on IDEAS

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    3. Noorian, Ali Mohammad & Moradi, Isaac & Kamali, Gholam Ali, 2008. "Evaluation of 12 models to estimate hourly diffuse irradiation on inclined surfaces," Renewable Energy, Elsevier, vol. 33(6), pages 1406-1412.
    4. Nijmeh, Salem & Mamlook, Rustom, 2000. "Testing of two models for computing global solar radiation on tilted surfaces," Renewable Energy, Elsevier, vol. 20(1), pages 75-81.
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