IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v225y2018icp769-781.html
   My bibliography  Save this article

An optimized Monte Carlo ray tracing optical simulation model and its applications to line-focus concentrating solar collectors

Author

Listed:
  • Fan, Man
  • You, Shijun
  • Xia, Junbao
  • Zheng, Wandong
  • Zhang, Huan
  • Liang, Hongbo
  • Li, Xianli
  • Li, Bojia

Abstract

The Monte Carlo Ray Tracing (MCRT) method has been confirmed flexible and efficient in the optical simulation of Concentrating Solar Collectors (CSCs), but it usually needs higher computing cost and longer runtime or its results fluctuate in multiple runs. The parameters of the way of random number generation, the number of rays, running times, grid numbers, and random number generation times all exerted effects on the simulation results. It was found that running the MCRT model with less number of rays for several more times could mitigate the fluctuation of results and decrease the total runtime simultaneously. Taken the Line-focus CSC with a metal-glass receiver and a parabolic reflector as an example, the maximum (emax) and average (eavg) relative errors of the MCRT method with 1 × 108 rays running for once, 2 × 107 rays running for once and 3 × 106 rays running for five times were all lower than the threshold values (Emax = 5% and Eavg = 0.5%), but the total runtime was about 410 s, 82 s and 63 s respectively. On these bases, an optimized MCRT model was proposed by combining the MCRT method with the iteration method, where the minimum running times (tmin) and the maximum running times (tmax) were introduced, and they could be changed conveniently to meet the requirements of different optical simulations. By applying the proposed model to the Line-focus CSC with a more complex cavity receiver or compound parabolic reflector, the total runtime varied in the range of 268–413 s and 26–102 min respectively, indicating that the runtime reduction was significant when the limit of relative errors were acceptable. The proposed model is beneficial to mitigate the fluctuation, improve the accuracy and reduce the runtime of the MCRT method. It can also be further used to the optical simulation of various kinds of CSCs.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:appene:v:225:y:2018:i:c:p:769-781
    DOI: 10.1016/j.apenergy.2018.05.067
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261918307773
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2018.05.067?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. Suman, Siddharth & Khan, Mohd. Kaleem & Pathak, Manabendra, 2015. "Performance enhancement of solar collectors—A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 49(C), pages 192-210.
    2. Wang, P. & Liu, D.Y. & Xu, C., 2013. "Numerical study of heat transfer enhancement in the receiver tube of direct steam generation with parabolic trough by inserting metal foams," Applied Energy, Elsevier, vol. 102(C), pages 449-460.
    3. Fan, Man & Liang, Hongbo & You, Shijun & Zhang, Huan & Yin, Baoquan & Wu, Xiaoting, 2018. "Applicability analysis of the solar heating system with parabolic trough solar collectors in different regions of China," Applied Energy, Elsevier, vol. 221(C), pages 100-111.
    4. Wu, Zhiyong & Li, Shidong & Yuan, Guofeng & Lei, Dongqiang & Wang, Zhifeng, 2014. "Three-dimensional numerical study of heat transfer characteristics of parabolic trough receiver," Applied Energy, Elsevier, vol. 113(C), pages 902-911.
    5. Hang, Qu & Jun, Zhao & Xiao, Yu & Junkui, Cui, 2008. "Prospect of concentrating solar power in China--the sustainable future," Renewable and Sustainable Energy Reviews, Elsevier, vol. 12(9), pages 2505-2514, December.
    6. Liang, Hongbo & You, Shijun & Zhang, Huan, 2015. "Comparison of different heat transfer models for parabolic trough solar collectors," Applied Energy, Elsevier, vol. 148(C), pages 105-114.
    7. 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.
    8. He, Ya-Ling & Xiao, Jie & Cheng, Ze-Dong & Tao, Yu-Bing, 2011. "A MCRT and FVM coupled simulation method for energy conversion process in parabolic trough solar collector," Renewable Energy, Elsevier, vol. 36(3), pages 976-985.
    9. 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.
    10. Silva, R. & Pérez, M. & Fernández-Garcia, A., 2013. "Modeling and co-simulation of a parabolic trough solar plant for industrial process heat," Applied Energy, Elsevier, vol. 106(C), pages 287-300.
    11. 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.
    12. Khanna, Sourav & Sharma, Vashi, 2015. "Effect of number of supports on the bending of absorber tube of parabolic trough concentrator," Energy, Elsevier, vol. 93(P2), pages 1788-1803.
    13. Fan, Man & Liang, Hongbo & You, Shijun & Zhang, Huan & Zheng, Wandong & Xia, Junbao, 2018. "Heat transfer analysis of a new volumetric based receiver for parabolic trough solar collector," Energy, Elsevier, vol. 142(C), pages 920-931.
    14. Qiu, Yu & He, Ya-Ling & Li, Peiwen & Du, Bao-Cun, 2017. "A comprehensive model for analysis of real-time optical performance of a solar power tower with a multi-tube cavity receiver," Applied Energy, Elsevier, vol. 185(P1), pages 589-603.
    15. Flores, Vicente & Almanza, Rafael, 2004. "Direct steam generation in parabolic trough concentrators with bimetallic receivers," Energy, Elsevier, vol. 29(5), pages 645-651.
    16. Liang, Hongbo & You, Shijun & Zhang, Huan, 2016. "Comparison of three optical models and analysis of geometric parameters for parabolic trough solar collectors," Energy, Elsevier, vol. 96(C), pages 37-47.
    17. Souliotis, M. & Tripanagnostopoulos, Y., 2008. "Study of the distribution of the absorbed solar radiation on the performance of a CPC-type ICS water heater," Renewable Energy, Elsevier, vol. 33(5), pages 846-858.
    18. Roldán, M.I. & Valenzuela, L. & Zarza, E., 2013. "Thermal analysis of solar receiver pipes with superheated steam," Applied Energy, Elsevier, vol. 103(C), pages 73-84.
    19. 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.
    20. Liang, Hongbo & Fan, Man & You, Shijun & Zheng, Wandong & Zhang, Huan & Ye, Tianzhen & Zheng, Xuejing, 2017. "A Monte Carlo method and finite volume method coupled optical simulation method for parabolic trough solar collectors," Applied Energy, Elsevier, vol. 201(C), pages 60-68.
    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. Abbas, R. & Sebastián, A. & Montes, M.J. & Valdés, M., 2018. "Optical features of linear Fresnel collectors with different secondary reflector technologies," Applied Energy, Elsevier, vol. 232(C), pages 386-397.
    2. Wang, Hai & Huang, Jin & Song, Mengjie & Yan, Jian, 2019. "Effects of receiver parameters on the optical performance of a fixed-focus Fresnel lens solar concentrator/cavity receiver system in solar cooker," Applied Energy, Elsevier, vol. 237(C), pages 70-82.
    3. Wang, Qiliang & Yang, Honglun & Zhong, Shuai & Huang, Yihang & Hu, Mingke & Cao, Jingyu & Pei, Gang & Yang, Hongxing, 2020. "Comprehensive experimental testing and analysis on parabolic trough solar receiver integrated with radiation shield," Applied Energy, Elsevier, vol. 268(C).
    4. Sebastián, Andrés & Abbas, Rubén & Valdés, Manuel & Casanova, Jesús, 2018. "Innovative thermal storage strategies for Fresnel-based concentrating solar plants with East-West orientation," Applied Energy, Elsevier, vol. 230(C), pages 983-995.
    5. Geng, Jinliang & Sun, Heng, 2023. "Optimization and analysis of a hydrogen liquefaction process: Energy, exergy, economic, and uncertainty quantification analysis," Energy, Elsevier, vol. 262(PA).
    6. Zhang, Xueyan & Jiang, Shuoxun & Lin, Ziming & Gui, Qinghua & Chen, Fei, 2023. "Model construction and performance analysis for asymmetric compound parabolic concentrator with circular absorber," Energy, Elsevier, vol. 267(C).
    7. Liu, Shang & Huang, Congliang & Luo, Xiao & Guo, Chuwen, 2019. "Performance optimization of bi-layer solar steam generation system through tuning porosity of bottom layer," Applied Energy, Elsevier, vol. 239(C), pages 504-513.
    8. Kincaid, Nicholas & Mungas, Greg & Kramer, Nicholas & Wagner, Michael & Zhu, Guangdong, 2018. "An optical performance comparison of three concentrating solar power collector designs in linear Fresnel, parabolic trough, and central receiver," Applied Energy, Elsevier, vol. 231(C), pages 1109-1121.
    9. Qyyum, Muhammad Abdul & Duong, Pham Luu Trung & Minh, Le Quang & Lee, Sanggyu & Lee, Moonyong, 2019. "Dual mixed refrigerant LNG process: Uncertainty quantification and dimensional reduction sensitivity analysis," Applied Energy, Elsevier, vol. 250(C), pages 1446-1456.

    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. 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.
    2. Hachicha, Ahmed Amine & Yousef, Bashria A.A. & Said, Zafar & Rodríguez, Ivette, 2019. "A review study on the modeling of high-temperature solar thermal collector systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 112(C), pages 280-298.
    3. 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.
    4. Liang, Hongbo & Fan, Man & You, Shijun & Zheng, Wandong & Zhang, Huan & Ye, Tianzhen & Zheng, Xuejing, 2017. "A Monte Carlo method and finite volume method coupled optical simulation method for parabolic trough solar collectors," Applied Energy, Elsevier, vol. 201(C), pages 60-68.
    5. Sandá, Antonio & Moya, Sara L. & Valenzuela, Loreto, 2019. "Modelling and simulation tools for direct steam generation in parabolic-trough solar collectors: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 113(C), pages 1-1.
    6. Cheng, Ze-Dong & Zhao, Xue-Ru & He, Ya-Ling, 2018. "Novel optical efficiency formulas for parabolic trough solar collectors: Computing method and applications," Applied Energy, Elsevier, vol. 224(C), pages 682-697.
    7. Cheng, Ze-Dong & He, Ya-Ling & Qiu, Yu, 2015. "A detailed nonuniform thermal model of a parabolic trough solar receiver with two halves and two inactive ends," Renewable Energy, Elsevier, vol. 74(C), pages 139-147.
    8. Yang, S. & Sensoy, T.S. & Ordonez, J.C., 2018. "Dynamic 3D volume element model of a parabolic trough solar collector for simulation and optimization," Applied Energy, Elsevier, vol. 217(C), pages 509-526.
    9. 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.
    10. 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.
    11. Khanna, Sourav & Sharma, Vashi, 2015. "Effect of number of supports on the bending of absorber tube of parabolic trough concentrator," Energy, Elsevier, vol. 93(P2), pages 1788-1803.
    12. Salgado Conrado, L. & Rodriguez-Pulido, A. & Calderón, G., 2017. "Thermal performance of parabolic trough solar collectors," Renewable and Sustainable Energy Reviews, Elsevier, vol. 67(C), pages 1345-1359.
    13. Zou, Bin & Jiang, Yiqiang & Yao, Yang & Yang, Hongxing, 2019. "Impacts of non-ideal optical factors on the performance of parabolic trough solar collectors," Energy, Elsevier, vol. 183(C), pages 1150-1165.
    14. 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.
    15. 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.
    16. 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.
    17. Cheng, Ze-Dong & Men, Jing-Jing & Liu, Shi-Cheng & He, Ya-Ling, 2019. "Three-dimensional numerical study on a novel parabolic trough solar receiver-reactor of a locally-installed Kenics static mixer for efficient hydrogen production," Applied Energy, Elsevier, vol. 250(C), pages 131-146.
    18. 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.
    19. Hachicha, Ahmed Amine & Rodríguez, Ivette & Ghenai, Chaouki, 2018. "Thermo-hydraulic analysis and numerical simulation of a parabolic trough solar collector for direct steam generation," Applied Energy, Elsevier, vol. 214(C), pages 152-165.
    20. Fuqiang, Wang & Ziming, Cheng & Jianyu, Tan & Yuan, Yuan & Yong, Shuai & Linhua, Liu, 2017. "Progress in concentrated solar power technology with parabolic trough collector system: A comprehensive review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 79(C), pages 1314-1328.

    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:225:y:2018:i:c:p:769-781. 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.