IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v217y2018icp509-526.html
   My bibliography  Save this article

Dynamic 3D volume element model of a parabolic trough solar collector for simulation and optimization

Author

Listed:
  • Yang, S.
  • Sensoy, T.S.
  • Ordonez, J.C.

Abstract

This paper presents a dynamic three-dimensional volume element model of a parabolic trough solar collector coupled to an existing semi-finite optical model for simulation and optimization. The spatial domain in the volume element model is discretized with lumped control volumes (i.e., volume elements) in cylindrical coordinates according to the predefined collector geometry. The spatial dependency of the model is therefore taken into account without the need to solve partial differential equations. The proposed model combines the laws of thermodynamics and heat transfer as well as empirical correlations to simplify the modeling and expedite the computations, and the resulting system of ordinary differential equations is integrated in time for temperature. The model was validated with the experimental data provided in the literature, and was employed to evaluate the sensitivity of the collector performance described by the first and second law efficiencies to receiver length, annulus gap spacing, concentration ratio, incidence angle, inlet fluid temperature and flow rate. This work also examined the effects of inlet fluid temperature and temperature differential on dynamic collector performance in the transient case study. Results showed that the first law efficiency was most sensitive to the inlet fluid temperature with the maximum variation of 30%, whereas the incidence angle and concentration ratio affected the second law efficiency the most with the maximum variations of 375% and 300%, respectively. The remaining parameters featured trivial effects in all cases. In the transient analysis, higher temperature differential and lower inlet fluid temperature yielded higher total heat gain while the total exergy gain was insensitive to both parameters. The first law efficiency should therefore be of greater importance than the second law efficiency in the control of dynamic collector performance based on these two parameters.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:appene:v:217:y:2018:i:c:p:509-526
    DOI: 10.1016/j.apenergy.2018.02.099
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261918302241
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2018.02.099?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. Jin, Jian & Ling, Yunyi & Hao, Yong, 2017. "Similarity analysis of parabolic-trough solar collectors," Applied Energy, Elsevier, vol. 204(C), pages 958-965.
    2. 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.
    3. 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.
    4. Mwesigye, Aggrey & Bello-Ochende, Tunde & Meyer, Josua P., 2014. "Minimum entropy generation due to heat transfer and fluid friction in a parabolic trough receiver with non-uniform heat flux at different rim angles and concentration ratios," Energy, Elsevier, vol. 73(C), pages 606-617.
    5. 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.
    6. Padilla, Ricardo Vasquez & Demirkaya, Gokmen & Goswami, D. Yogi & Stefanakos, Elias & Rahman, Muhammad M., 2011. "Heat transfer analysis of parabolic trough solar receiver," Applied Energy, Elsevier, vol. 88(12), pages 5097-5110.
    7. Kearney, D. & Kelly, B. & Herrmann, U. & Cable, R. & Pacheco, J. & Mahoney, R. & Price, H. & Blake, D. & Nava, P. & Potrovitza, N., 2004. "Engineering aspects of a molten salt heat transfer fluid in a trough solar field," Energy, Elsevier, vol. 29(5), pages 861-870.
    8. 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.
    9. Nation, Deju D. & Heggs, Peter J. & Dixon-Hardy, Darron W., 2017. "Modelling and simulation of a novel Electrical Energy Storage (EES) Receiver for Solar Parabolic Trough Collector (PTC) power plants," Applied Energy, Elsevier, vol. 195(C), pages 950-973.
    10. Kalogirou, Soteris A., 2012. "A detailed thermal model of a parabolic trough collector receiver," Energy, Elsevier, vol. 48(1), pages 298-306.
    11. Hachicha, A.A. & Rodríguez, I. & Capdevila, R. & Oliva, A., 2013. "Heat transfer analysis and numerical simulation of a parabolic trough solar collector," Applied Energy, Elsevier, vol. 111(C), pages 581-592.
    12. Bellos, Evangelos & Tzivanidis, Christos & Tsimpoukis, Dimitrios, 2017. "Multi-criteria evaluation of parabolic trough collector with internally finned absorbers," Applied Energy, Elsevier, vol. 205(C), pages 540-561.
    13. Yang, S. & Pilet, T.J. & Ordonez, J.C., 2018. "Volume element model for 3D dynamic building thermal modeling and simulation," Energy, Elsevier, vol. 148(C), pages 642-661.
    14. 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.
    15. 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.
    16. Vignarooban, K. & Xu, Xinhai & Arvay, A. & Hsu, K. & Kannan, A.M., 2015. "Heat transfer fluids for concentrating solar power systems – A review," Applied Energy, Elsevier, vol. 146(C), pages 383-396.
    17. Suzuki, Akio, 1988. "General theory of exergy-balance analysis and application to solar collectors," Energy, Elsevier, vol. 13(2), pages 153-160.
    18. 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.
    19. 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. Liu, Shuaishuai & Yang, Bin & Zhi, Yuan & Yu, Xiaohui, 2023. "Thermal-mechanical performance analysis of parabolic trough receivers under various optical errors based on coupled optical-thermal-stress model," Renewable Energy, Elsevier, vol. 210(C), pages 687-700.
    2. 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.
    3. Liu, Shuaishuai & Yang, Bin & Hou, Yutian & Yu, Xiaohui, 2022. "Effects of geometric configurations on the thermal-mechanical properties of parabolic trough receivers based on coupled optical-thermal-stress model," Renewable Energy, Elsevier, vol. 199(C), pages 929-942.
    4. Delise, T. & Tizzoni, A.C. & Menale, C. & Telling, M.T.F. & Bubbico, R. & Crescenzi, T. & Corsaro, N. & Sau, S. & Licoccia, S., 2020. "Technical and economic analysis of a CSP plant presenting a low freezing ternary mixture as storage and transfer fluid," Applied Energy, Elsevier, vol. 265(C).
    5. 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.
    6. Yang, Bin & Liu, Shuaishuai & Zhang, Ruirui & Yu, Xiaohui, 2022. "Influence of reflector installation errors on optical-thermal performance of parabolic trough collectors based on a MCRT - FVM coupled model," Renewable Energy, Elsevier, vol. 185(C), pages 1006-1017.
    7. Mohammed, Hussein A. & Vuthaluru, Hari B. & Liu, Shaomin, 2022. "Thermohydraulic and thermodynamics performance of hybrid nanofluids based parabolic trough solar collector equipped with wavy promoters," Renewable Energy, Elsevier, vol. 182(C), pages 401-426.
    8. Yang, S. & Ordonez, J.C., 2019. "3D thermal-hydraulic analysis of a symmetric wavy parabolic trough absorber pipe," Energy, Elsevier, vol. 189(C).
    9. 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.
    10. 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.
    11. Yang, S., 2022. "Solar-driven liquid air power plant modeling, design space exploration, and multi-objective optimization," Energy, Elsevier, vol. 246(C).

    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. Moudakkar, Touria & El Hallaoui, Z. & Vaudreuil, S. & Bounahmidi, T., 2019. "Modeling and performance analysis of a PTC for industrial phosphate flash drying," Energy, Elsevier, vol. 166(C), pages 1134-1148.
    4. 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.
    5. Abdulhamed, Ali Jaber & Adam, Nor Mariah & Ab-Kadir, Mohd Zainal Abidin & Hairuddin, Abdul Aziz, 2018. "Review of solar parabolic-trough collector geometrical and thermal analyses, performance, and applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 822-831.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Li, Zeng-Yao & Huang, Zhen & Tao, Wen-Quan, 2016. "Three-dimensional numerical study on fully-developed mixed laminar convection in parabolic trough solar receiver tube," Energy, Elsevier, vol. 113(C), pages 1288-1303.
    12. 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.
    13. Kumaresan, G. & Sudhakar, P. & Santosh, R. & Velraj, R., 2017. "Experimental and numerical studies of thermal performance enhancement in the receiver part of solar parabolic trough collectors," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 1363-1374.
    14. Ajbar, Wassila & Parrales, A. & Huicochea, A. & Hernández, J.A., 2022. "Different ways to improve parabolic trough solar collectors’ performance over the last four decades and their applications: A comprehensive review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 156(C).
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. Singh, Manmeet & Sharma, Manoj Kumar & Bhattacharya, Jishnu, 2021. "Design methodology of a parabolic trough collector field for maximum annual energy yield," Renewable Energy, Elsevier, vol. 177(C), pages 229-241.
    20. Delise, T. & Tizzoni, A.C. & Menale, C. & Telling, M.T.F. & Bubbico, R. & Crescenzi, T. & Corsaro, N. & Sau, S. & Licoccia, S., 2020. "Technical and economic analysis of a CSP plant presenting a low freezing ternary mixture as storage and transfer fluid," Applied Energy, Elsevier, vol. 265(C).

    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:217:y:2018:i:c:p:509-526. 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.