IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v182y2016icp434-441.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261916311692
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.apenergy.2016.08.082?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yu, Qiang & Wang, Zhifeng & Xu, Ershu, 2014. "Analysis and improvement of solar flux distribution inside a cavity receiver based on multi-focal points of heliostat field," Applied Energy, Elsevier, vol. 136(C), pages 417-430.
    2. Cheng, Z.D. & He, Y.L. & Cui, F.Q. & Du, B.C. & Zheng, Z.J. & Xu, Y., 2014. "Comparative and sensitive analysis for parabolic trough solar collectors with a detailed Monte Carlo ray-tracing optical model," Applied Energy, Elsevier, vol. 115(C), pages 559-572.
    3. Wei, Xiudong & Lu, Zhenwu & Wang, Zhifeng & Yu, Weixing & Zhang, Hongxing & Yao, Zhihao, 2010. "A new method for the design of the heliostat field layout for solar tower power plant," Renewable Energy, Elsevier, vol. 35(9), pages 1970-1975.
    4. Roldán, M.I. & Monterreal, R., 2014. "Heat flux and temperature prediction on a volumetric receiver installed in a solar furnace," Applied Energy, Elsevier, vol. 120(C), pages 65-74.
    5. Tian, Y. & Zhao, C.Y., 2013. "A review of solar collectors and thermal energy storage in solar thermal applications," Applied Energy, Elsevier, vol. 104(C), pages 538-553.
    6. 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.
    7. Avila-Marin, Antonio L. & Fernandez-Reche, Jesus & Tellez, Felix M., 2013. "Evaluation of the potential of central receiver solar power plants: Configuration, optimization and trends," Applied Energy, Elsevier, vol. 112(C), pages 274-288.
    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. Cheng, Z.D. & He, Y.L. & Cui, F.Q., 2013. "A new modelling method and unified code with MCRT for concentrating solar collectors and its applications," Applied Energy, Elsevier, vol. 101(C), pages 686-698.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Huang, Weidong & Yu, Liang, 2018. "Development of a new flux density function for a focusing heliostat," Energy, Elsevier, vol. 151(C), pages 358-375.
    2. 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.
    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. Hu, Peng & Huang, Weidong, 2018. "Performance analysis and optimization of an integrated azimuth tracking solar tower," Energy, Elsevier, vol. 157(C), pages 247-257.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Wang, Kun & He, Ya-Ling & Qiu, Yu & Zhang, Yuwen, 2016. "A novel integrated simulation approach couples MCRT and Gebhart methods to simulate solar radiation transfer in a solar power tower system with a cavity receiver," Renewable Energy, Elsevier, vol. 89(C), pages 93-107.
    3. Zheng, Zhang-Jing & Li, Ming-Jia & He, Ya-Ling, 2017. "Thermal analysis of solar central receiver tube with porous inserts and non-uniform heat flux," Applied Energy, Elsevier, vol. 185(P2), pages 1152-1161.
    4. 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.
    5. Zeng, Zhichen & Ni, Dong & Xiao, Gang, 2022. "Real-time heliostat field aiming strategy optimization based on reinforcement learning," Applied Energy, Elsevier, vol. 307(C).
    6. Huang, Zhen & Li, Zeng-Yao & Tao, Wen-Quan, 2017. "Numerical study on combined natural and forced convection in the fully-developed turbulent region for a horizontal circular tube heated by non-uniform heat flux," Applied Energy, Elsevier, vol. 185(P2), pages 2194-2208.
    7. Cheng, Ze-Dong & Zhao, Xue-Ru & He, Ya-Ling & Qiu, Yu, 2018. "A novel optical optimization model for linear Fresnel reflector concentrators," Renewable Energy, Elsevier, vol. 129(PA), pages 486-499.
    8. Conroy, Tim & Collins, Maurice N. & Fisher, James & Grimes, Ronan, 2018. "Thermal and mechanical analysis of a sodium-cooled solar receiver operating under a novel heliostat aiming point strategy," Applied Energy, Elsevier, vol. 230(C), pages 590-614.
    9. Zou, Bin & Yao, Yang & Jiang, Yiqiang & Yang, Hongxing, 2018. "A new algorithm for obtaining the critical tube diameter and intercept factor of parabolic trough solar collectors," Energy, Elsevier, vol. 150(C), pages 451-467.
    10. Yılmaz, İbrahim Halil & Mwesigye, Aggrey, 2018. "Modeling, simulation and performance analysis of parabolic trough solar collectors: A comprehensive review," Applied Energy, Elsevier, vol. 225(C), pages 135-174.
    11. Cheng, Ze-Dong & Men, Jing-Jing & He, Ya-Ling & Tao, Yu-Bing & Ma, Zhao, 2019. "Comprehensive study on novel parabolic trough solar receiver-reactors of gradually-varied porosity catalyst beds for hydrogen production," Renewable Energy, Elsevier, vol. 143(C), pages 1766-1781.
    12. Abbas, R. & Martínez-Val, J.M., 2017. "A comprehensive optical characterization of linear Fresnel collectors by means of an analytic study," Applied Energy, Elsevier, vol. 185(P2), pages 1136-1151.
    13. Behar, Omar & Khellaf, Abdallah & Mohammedi, Kamal, 2013. "A review of studies on central receiver solar thermal power plants," Renewable and Sustainable Energy Reviews, Elsevier, vol. 23(C), pages 12-39.
    14. Cheng, Ze-Dong & He, Ya-Ling & Du, Bao-Cun & Wang, Kun & Liang, Qi, 2015. "Geometric optimization on optical performance of parabolic trough solar collector systems using particle swarm optimization algorithm," Applied Energy, Elsevier, vol. 148(C), pages 282-293.
    15. Fan, Man & You, Shijun & Xia, Junbao & Zheng, Wandong & Zhang, Huan & Liang, Hongbo & Li, Xianli & Li, Bojia, 2018. "An optimized Monte Carlo ray tracing optical simulation model and its applications to line-focus concentrating solar collectors," Applied Energy, Elsevier, vol. 225(C), pages 769-781.
    16. Huang, Weidong & Yu, Liang, 2018. "Development of a new flux density function for a focusing heliostat," Energy, Elsevier, vol. 151(C), pages 358-375.
    17. Laslett, Dean & Carter, Craig & Creagh, Chris & Jennings, Philip, 2017. "A large-scale renewable electricity supply system by 2030: Solar, wind, energy efficiency, storage and inertia for the South West Interconnected System (SWIS) in Western Australia," Renewable Energy, Elsevier, vol. 113(C), pages 713-731.
    18. Zhu, Qibin & Xuan, Yimin & Liu, Xianglei & Yang, Lili & Lian, Wenlei & Zhang, Jin, 2020. "A 130 kWe solar simulator with tunable ultra-high flux and characterization using direct multiple lamps mapping," Applied Energy, Elsevier, vol. 270(C).
    19. Conroy, Tim & Collins, Maurice N. & Grimes, Ronan, 2020. "A review of steady-state thermal and mechanical modelling on tubular solar receivers," Renewable and Sustainable Energy Reviews, Elsevier, vol. 119(C).
    20. Ruelas, José & Palomares, Juan & Pando, Gabriel, 2015. "Absorber design for a Scheffler-Type Solar Concentrator," Applied Energy, Elsevier, vol. 154(C), pages 35-39.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:appene:v:182:y:2016:i:c:p:434-441. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.