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Analytical radiative flux model via convolution integral and image plane mapping

Author

Listed:
  • He, Caitou
  • Zhao, Hanli
  • He, Qi
  • Zhao, Yuhong
  • Feng, Jieqing

Abstract

Real-time radiative flux distribution simulation is necessary for a central receiver system in solar thermal power generation applications. In this paper, an improved analytical model (iCauchy model) and three intrinsic features of the analytical methods are proposed for more authentic simulation purpose. A convolution integral against the effective reflecting surface silhouette is conducted on the image plane and a closed form expression is deduced. Then this expression is projected to the receiver and final result is obtained. Experiments and comparisons show that this model can achieve more accurate and authentic simulations of the flux spots than the Cauchy model. The iCauchy model provides a new view of analytical models. As a result, it will contribute to fast monitoring and forecasting the solar irradiation distribution on the receiver, thus help resolve the optimization problems in solar thermal power research.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:energy:v:222:y:2021:i:c:s0360544221001869
    DOI: 10.1016/j.energy.2021.119937
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    References listed on IDEAS

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    1. Cruz, N.C. & Salhi, S. & Redondo, J.L. & Álvarez, J.D. & Berenguel, M. & Ortigosa, P.M., 2018. "Hector, a new methodology for continuous and pattern-free heliostat field optimization," Applied Energy, Elsevier, vol. 225(C), pages 1123-1131.
    2. 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).
    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. Bonanos, A.M. & Faka, M. & Abate, D. & Hermon, S. & Blanco, M.J., 2019. "Heliostat surface shape characterization for accurate flux prediction," Renewable Energy, Elsevier, vol. 142(C), pages 30-40.
    5. Wang, Kun & He, Ya-Ling & Xue, Xiao-Dai & Du, Bao-Cun, 2017. "Multi-objective optimization of the aiming strategy for the solar power tower with a cavity receiver by using the non-dominated sorting genetic algorithm," Applied Energy, Elsevier, vol. 205(C), pages 399-416.
    6. 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.
    7. 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.
    8. 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.
    9. Elsayed, M.M. & Fathalah, K.A., 1994. "Solar flux density distribution using a separation of variables/superposition technique," Renewable Energy, Elsevier, vol. 4(1), pages 77-87.
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    Cited by:

    1. 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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