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Analysis and Application of Trignometry in Constructing Solar Panel for its Optimal Utility


Authors : S. A. Prartthana; Bhaviya B.; Madhavi Latha P.; Dr. Sivasakti Balan D. P.; R. J. Thayumanaswamy

Volume/Issue : Volume 11 - 2026, Issue 3 - March


Google Scholar : https://tinyurl.com/ycx6fnys

Scribd : https://tinyurl.com/mwt7kec2

DOI : https://doi.org/10.38124/ijisrt/26mar1005

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.


Abstract : Solar energy is one of the fastest-growing sources of renewable energy in the world. As the demand for clean and sustainable energy increases, solar power has become an important alternative to fossil fuels. Solar energy is obtained from the sun’s radiation and is converted into electricity through photovoltaic (PV) panels. Understanding the mathematical principles behind solar energy systems helps improve their efficiency and performance. This study focuses on how mathematical concepts such as geometry, trigonometry, graphs, data tables, and percentage calculations are used to analyze solar radiation and photovoltaic power generation. Mathematics plays a significant role in determining how solar panels capture sunlight. Geometry is used to calculate the best position and angle for installing solar panels so that they receive maximum sunlight during the day. The tilt and orientation of the panels depend on the geographic location and the movement of the sun. Proper positioning helps increase the amount of solar energy that can be converted into electricity. Trigonometry is also important in studying solar radiation. The position of the sun changes throughout the day and across different seasons. Trigonometric calculations help determine the solar altitude and azimuth angles, which influence the amount of sunlight reaching the solar panels. By using these calculations, scientists and engineers can predict the most effective placement of solar panels and estimate the potential solar energy available in a particular area.Overall, mathematical modeling helps predict solar energy production and improves solar panel performance. Accurate calculations and data analysis support better energy planning for homes, schools, and industries, making solar energy a reliable and sustainable solution for future power needs.

Keywords : Solar Radiation, Photovoltaic System, Efficiency, Mathematical Modeling, Solar Intensity, Renewable Energy, Data Interpretation.

References :

  1. Duffie, J. A., & Beckman, W. A. (2013). Solar engineering of thermal processes (4th ed.). Wiley.
  2. Tiwari, G. N., & Dubey, S. (2010). Fundamentals of photovoltaic modules and their applications. Royal Society of Chemistry.
  3. Ministry of New and Renewable Energy. (2022). Solar energy in India: Annual report. Government of India.
  4. National Renewable Energy Laboratory. (2023). Photovoltaic system modeling and performance analysis. U.S. Department of Energy.
  5. NCERT. (2021). Mathematics textbook for secondary classes. National Council of Educational Research and Training.
  6. NCERT. (2021). Physics textbook: Energy and resources. National Council of Educational Research and Training.
  7. Messenger, R., & Ventre, J. (2010). Photovoltaic systems engineering (3rd ed.). CRC Press.
  8. Kalogirou, S. A. (2014). Solar energy engineering: Processes and systems (2nd ed.). Academic Press.
  9. Goswami, D. Y., Kreith, F., & Kreider, J. F. (2015). Principles of solar engineering (3rd ed.). CRC Press.
  10. International Energy Agency. (2022). Solar energy perspectives. IEA Publications.
  11. Boyle, G. (2012). Renewable energy: Power for a sustainable future (3rd ed.). Oxford University Press.
  12. Green, M. A. (2019). Solar cells: Operating principles, technology and system applications. Prentice Hall.

Solar energy is one of the fastest-growing sources of renewable energy in the world. As the demand for clean and sustainable energy increases, solar power has become an important alternative to fossil fuels. Solar energy is obtained from the sun’s radiation and is converted into electricity through photovoltaic (PV) panels. Understanding the mathematical principles behind solar energy systems helps improve their efficiency and performance. This study focuses on how mathematical concepts such as geometry, trigonometry, graphs, data tables, and percentage calculations are used to analyze solar radiation and photovoltaic power generation. Mathematics plays a significant role in determining how solar panels capture sunlight. Geometry is used to calculate the best position and angle for installing solar panels so that they receive maximum sunlight during the day. The tilt and orientation of the panels depend on the geographic location and the movement of the sun. Proper positioning helps increase the amount of solar energy that can be converted into electricity. Trigonometry is also important in studying solar radiation. The position of the sun changes throughout the day and across different seasons. Trigonometric calculations help determine the solar altitude and azimuth angles, which influence the amount of sunlight reaching the solar panels. By using these calculations, scientists and engineers can predict the most effective placement of solar panels and estimate the potential solar energy available in a particular area.Overall, mathematical modeling helps predict solar energy production and improves solar panel performance. Accurate calculations and data analysis support better energy planning for homes, schools, and industries, making solar energy a reliable and sustainable solution for future power needs.

Keywords : Solar Radiation, Photovoltaic System, Efficiency, Mathematical Modeling, Solar Intensity, Renewable Energy, Data Interpretation.

Paper Submission Last Date
31 - March - 2026

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