Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic Conversion
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 Met...
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| Format: | Article |
| Language: | English |
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MDPI AG
2015-01-01
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| Series: | Energies |
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| Online Access: | http://www.mdpi.com/1996-1073/8/2/1025 |
| _version_ | 1798026937771229184 |
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| author | Grażyna Frydrychowicz-Jastrzębska Artur Bugała |
| author_facet | Grażyna Frydrychowicz-Jastrzębska Artur Bugała |
| author_sort | Grażyna Frydrychowicz-Jastrzębska |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T18:43:19Z |
| format | Article |
| id | doaj.art-bf52af59b12f4b5cbc5da0ccdcb93481 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-11T18:43:19Z |
| publishDate | 2015-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-bf52af59b12f4b5cbc5da0ccdcb934812022-12-22T04:08:54ZengMDPI AGEnergies1996-10732015-01-01821025104110.3390/en8021025en8021025Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic ConversionGrażyna Frydrychowicz-Jastrzębska0Artur Bugała1Department of Electrical Engineering, Poznan University of Technology, Piotrowo 3a Street, 60-965 Poznań, PolandDepartment of Electrical Engineering, Poznan University of Technology, Piotrowo 3a Street, 60-965 Poznań, PolandThe 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.http://www.mdpi.com/1996-1073/8/2/1025solar radiationmathematical modeltracking systemelevation anglephotovoltaic module |
| spellingShingle | Grażyna Frydrychowicz-Jastrzębska Artur Bugała Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic Conversion Energies solar radiation mathematical model tracking system elevation angle photovoltaic module |
| title | Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic Conversion |
| title_full | Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic Conversion |
| title_fullStr | Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic Conversion |
| title_full_unstemmed | Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic Conversion |
| title_short | Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic Conversion |
| title_sort | modeling the distribution of solar radiation on a two axis tracking plane for photovoltaic conversion |
| topic | solar radiation mathematical model tracking system elevation angle photovoltaic module |
| url | http://www.mdpi.com/1996-1073/8/2/1025 |
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