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Development of a new flux density function for a focusing heliostat

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  • Huang, Weidong
  • Yu, Liang

Abstract

It is important to calculate solar flux distribution with a precise and simple method for the design and optimization of solar tower systems. In this paper, the Gaussian flux density function at the image plane is deduced after simulating the image function of the heliostat with Gaussian distribution function. The flux density distribution of various round or rectangular focusing heliostats at the receiver plane can be calculated through projection. The simulation results are compared with SolTrace analysis and experimental data. Comparison of the flux density distributions between this method and SolTrace show excellent agreement especially when the optical error is equivalent to or larger than the Gaussian function parameter of heliostat image which fits to most of heliostats in a solar tower system. Although it increases error to simulate the image of the heliostat with elliptical Gaussian distribution, compared with the experimental data, the average prediction error of the elliptical Gaussian function is 2.24%, which is less than that of SolTrace because SolTrace applies the circular Gaussian distribution for optical error which bring more errors. Therefore, the Gaussian flux density function proposed is validated and can be used to simulate and optimize the design of solar heliostats field.

Suggested Citation

  • Huang, Weidong & Yu, Liang, 2018. "Development of a new flux density function for a focusing heliostat," Energy, Elsevier, vol. 151(C), pages 358-375.
    • Handle: RePEc:eee:energy:v:151:y:2018:i:c:p:358-375
    DOI: 10.1016/j.energy.2018.03.035
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    References listed on IDEAS

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    1. 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.
    2. Sánchez-González, Alberto & Santana, Domingo, 2015. "Solar flux distribution on central receivers: A projection method from analytic function," Renewable Energy, Elsevier, vol. 74(C), pages 576-587.
    3. Huang, Weidong & Li, Yongping & Han, Zhengfu, 2013. "Theoretical analysis of error transfer from surface slope to refractive ray and their application to the solar concentrated collector," Renewable Energy, Elsevier, vol. 57(C), pages 562-569.
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    Citations

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    Cited by:

    1. Ghirardi, Elisa & Brumana, Giovanni & Franchini, Giuseppe & Perdichizzi, Antonio, 2021. "Heliostat layout optimization for load-following solar tower plants," Renewable Energy, Elsevier, vol. 168(C), pages 393-405.
    2. Liu, Zengqiang & Lin, Xiaoxia & Zhao, Yuhong & Feng, Jieqing, 2023. "Determination of simulation parameters in Monte Carlo ray tracing for radiative flux density distribution simulation," Energy, Elsevier, vol. 276(C).
    3. Song, Jifeng & Yang, Genben & Wang, Haiyu & Niu, Yisen & Hou, Hongjuan & Su, Ying & Wang, Qian & Zou, Zubing, 2022. "Influence of sunshape and optical error on spillover of concentrated flux in solar thermal power tower plant," Energy, Elsevier, vol. 256(C).
    4. Collado, Francisco J. & Guallar, Jesus, 2019. "Quick design of regular heliostat fields for commercial solar tower power plants," Energy, Elsevier, vol. 178(C), pages 115-125.
    5. He, Caitou & Zhao, Yuhong & Feng, Jieqing, 2019. "An improved flux density distribution model for a flat heliostat (iHFLCAL) compared with HFLCAL," Energy, Elsevier, vol. 189(C).
    6. 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).
    7. Huang, Weidong & Yu, Liang & Hu, Peng, 2019. "An analytical solution for the solar flux density produced by a round focusing heliostat," Renewable Energy, Elsevier, vol. 134(C), pages 306-320.

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