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Solar flux density calculation for a heliostat with an elliptical Gaussian distribution source

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  • Huang, Weidong
  • Sun, Lulening

Abstract

The calculation of solar flux density is a key work for the design and optimization of solar tower system. Because of the great amount of calculation, the source distribution is often regarded as a radial distribution, which is not consistent with the reality. This paper presents a new method to calculate the flux density distribution by a focusing heliostat with an elliptical Gaussian distribution source. The two-dimensional convolution integration is proposed and converted into a one-dimensional integration. We use the Gauss-Legendre integration method to reduce the amount of calculation and accelerate the speed of integration. This method can be used to calculate the solar flux at image and receiver plane by most of the heliostat. It needs only 0.1% time of the ray tracing method for calculating the efficiency of the heliostat. It can be applied for design optimization of the solar heliostat field which is superior to the present methods in both accuracy and computation requirements.

Suggested Citation

  • Huang, Weidong & Sun, Lulening, 2016. "Solar flux density calculation for a heliostat with an elliptical Gaussian distribution source," Applied Energy, Elsevier, vol. 182(C), pages 434-441.
    • Handle: RePEc:eee:appene:v:182:y:2016:i:c:p:434-441
    DOI: 10.1016/j.apenergy.2016.08.082
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    References listed on IDEAS

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    Cited by:

    1. He, Caitou & Duan, Xiaoyue & Zhao, Yuhong & Feng, Jieqing, 2019. "An analytical flux density distribution model with a closed-form expression for a flat heliostat," Applied Energy, Elsevier, vol. 251(C), pages 1-1.
    2. Hu, Peng & Huang, Weidong, 2018. "Performance analysis and optimization of an integrated azimuth tracking solar tower," Energy, Elsevier, vol. 157(C), pages 247-257.
    3. Huang, Weidong & Yu, Liang, 2018. "Development of a new flux density function for a focusing heliostat," Energy, Elsevier, vol. 151(C), pages 358-375.
    4. He, Caitou & Zhao, Hanli & He, Qi & Zhao, Yuhong & Feng, Jieqing, 2021. "Analytical radiative flux model via convolution integral and image plane mapping," Energy, Elsevier, vol. 222(C).

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