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An improved flux density distribution model for a flat heliostat (iHFLCAL) compared with HFLCAL

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  • He, Caitou
  • Zhao, Yuhong
  • Feng, Jieqing

Abstract

The simulation of the flux spot reflected by a flat heliostat is one of the fundamental problems in the central receiver system. In this paper, we propose an improved model based on Gaussian distribution assumption to more faithfully depict the flux density distribution on the receiver reflected by a flat heliostat, which is also the basis for study of the focusing heliostat. First, an imaginary flux density distribution is modeled by an elliptical Gaussian function in the image plane coordinate system. The relationship between the standard deviations of the Gaussian function and the heliostat length and width is revealed. Shading and blocking effects are carefully considered and addressed. Then, this distribution is mapped to the receiver plane through oblique parallel projection along the reflection direction of the heliostat based on the law of energy conservation and calculus. A state-of-the-art GPU-based ray tracing simulation method is adopted, and satisfactory consistency between the proposed model and the ray tracing result is found. The experiments and comparisons demonstrate that the proposed model is as efficient as but more accurate than the related Gaussian models.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:energy:v:189:y:2019:i:c:s0360544219319346
    DOI: 10.1016/j.energy.2019.116239
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    References listed on IDEAS

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    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. Huang, Weidong & Yu, Liang, 2018. "Development of a new flux density function for a focusing heliostat," Energy, Elsevier, vol. 151(C), pages 358-375.
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    Cited by:

    1. Liu, Xiaokai & Guo, Jiangfeng & Han, Zengxiao & Cheng, Keyong & Huai, Xiulan, 2022. "Studies on thermal-hydraulic characteristics of supercritical CO2 flows with non-uniform heat flux in a tubular solar receiver," Renewable Energy, Elsevier, vol. 201(P1), pages 291-304.
    2. 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).
    3. 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).
    4. Lin, Xiaoxia & He, Caitou & Huang, Wenjun & Zhao, Yuhong & Feng, Jieqing, 2022. "GPU-based Monte Carlo ray tracing simulation considering refraction for central receiver system," Renewable Energy, Elsevier, vol. 193(C), pages 367-382.

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