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Novel optical efficiency formulas for parabolic trough solar collectors: Computing method and applications

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  • Cheng, Ze-Dong
  • Zhao, Xue-Ru
  • He, Ya-Ling

Abstract

This paper presents a novel computing method of optical efficiency fitting formulas and its applications for parabolic trough solar collectors, by combining the Monte Carlo ray-tracing methodology with the population-based particle swarm optimization algorithm. The expressions of the optical efficiency fitting formulas are deduced by means of analyzing the Monte Carlo ray-tracing data samples with a variable reduction technique, while the fitting formula coefficients are obtained using the particle swarm optimization algorithm. The computing time of the annual optical efficiency reduces to less than 10−7 s, from about a day as previously calculated by a once powerful Monte Carlo ray-tracing model. Thus, it makes the once time-consuming long-time average optical efficiency calculations or corresponding population-based optimizations much more feasible and efficient. A dynamic particle swarm size factor is also proposed to improve the particle swarm optimization performance, which reduces nearly 90% of the particle swarm optimization computing time. Numerical results calculated by the Monte Carlo ray-tracing model and the obtained optical efficiency fitting formulas were compared with the corresponding reference data. Good agreements were obtained, proving that the computing method and model are reliable. The obtained optical efficiency fitting formula of parabolic trough solar collectors is then applied successfully to efficiently study the characteristics of long-time average optical efficiencies under different geometrical configurations, geographical locations, tracking models and corresponding optical or geometrical optimizations. This proposed novel method offers a useful option of high potential for further applications on efficient optical efficiency related analyses and corresponding population-based optimizations for parabolic trough solar collectors.

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  • 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.
    • Handle: RePEc:eee:appene:v:224:y:2018:i:c:p:682-697
    DOI: 10.1016/j.apenergy.2018.05.033
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    as
    1. 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.
    2. Giglio, Andrea & Lanzini, Andrea & Leone, Pierluigi & Rodríguez García, Margarita M. & Zarza Moya, Eduardo, 2017. "Direct steam generation in parabolic-trough collectors: A review about the technology and a thermo-economic analysis of a hybrid system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 74(C), pages 453-473.
    3. Mwesigye, Aggrey & Huan, Zhongjie & Meyer, Josua P., 2015. "Thermodynamic optimisation of the performance of a parabolic trough receiver using synthetic oil–Al2O3 nanofluid," Applied Energy, Elsevier, vol. 156(C), pages 398-412.
    4. 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.
    5. 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.
    6. Qiu, Yu & He, Ya-Ling & Cheng, Ze-Dong & Wang, Kun, 2015. "Study on optical and thermal performance of a linear Fresnel solar reflector using molten salt as HTF with MCRT and FVM methods," Applied Energy, Elsevier, vol. 146(C), pages 162-173.
    7. 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.
    8. Fernández-García, A. & Zarza, E. & Valenzuela, L. & Pérez, M., 2010. "Parabolic-trough solar collectors and their applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(7), pages 1695-1721, September.
    9. 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.
    10. Jebasingh, V.K. & Herbert, G.M. Joselin, 2016. "A review of solar parabolic trough collector," Renewable and Sustainable Energy Reviews, Elsevier, vol. 54(C), pages 1085-1091.
    11. Sandeep, H.M. & Arunachala, U.C., 2017. "Solar parabolic trough collectors: A review on heat transfer augmentation techniques," Renewable and Sustainable Energy Reviews, Elsevier, vol. 69(C), pages 1218-1231.
    12. Biencinto, Mario & González, Lourdes & Valenzuela, Loreto, 2016. "A quasi-dynamic simulation model for direct steam generation in parabolic troughs using TRNSYS," Applied Energy, Elsevier, vol. 161(C), pages 133-142.
    13. 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.
    14. Behrang, M.A. & Assareh, E. & Noghrehabadi, A.R. & Ghanbarzadeh, A., 2011. "New sunshine-based models for predicting global solar radiation using PSO (particle swarm optimization) technique," Energy, Elsevier, vol. 36(5), pages 3036-3049.
    15. 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.
    16. Qiu, Yu & Li, Ming-Jia & Wang, Kun & Liu, Zhan-Bin & Xue, Xiao-Dai, 2017. "Aiming strategy optimization for uniform flux distribution in the receiver of a linear Fresnel solar reflector using a multi-objective genetic algorithm," Applied Energy, Elsevier, vol. 205(C), pages 1394-1407.
    17. Mohammad Zadeh, P. & Sokhansefat, T. & Kasaeian, A.B. & Kowsary, F. & Akbarzadeh, A., 2015. "Hybrid optimization algorithm for thermal analysis in a solar parabolic trough collector based on nanofluid," Energy, Elsevier, vol. 82(C), pages 857-864.
    18. Kalogirou, Soteris A., 2012. "A detailed thermal model of a parabolic trough collector receiver," Energy, Elsevier, vol. 48(1), pages 298-306.
    19. Baños, R. & Manzano-Agugliaro, F. & Montoya, F.G. & Gil, C. & Alcayde, A. & Gómez, J., 2011. "Optimization methods applied to renewable and sustainable energy: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(4), pages 1753-1766, May.
    20. Askarzadeh, Alireza & Rezazadeh, Alireza, 2013. "Artificial bee swarm optimization algorithm for parameters identification of solar cell models," Applied Energy, Elsevier, vol. 102(C), pages 943-949.
    21. Sharma, Naveen & Varun, & Siddhartha,, 2012. "Stochastic techniques used for optimization in solar systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(3), pages 1399-1411.
    22. 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.
    23. Assareh, E. & Behrang, M.A. & Assari, M.R. & Ghanbarzadeh, A., 2010. "Application of PSO (particle swarm optimization) and GA (genetic algorithm) techniques on demand estimation of oil in Iran," Energy, Elsevier, vol. 35(12), pages 5223-5229.
    24. Arancibia-Bulnes, Camilo A. & Peña-Cruz, Manuel I. & Mutuberría, Amaia & Díaz-Uribe, Rufino & Sánchez-González, Marcelino, 2017. "A survey of methods for the evaluation of reflective solar concentrator optics," Renewable and Sustainable Energy Reviews, Elsevier, vol. 69(C), pages 673-684.
    25. Mwesigye, Aggrey & Meyer, Josua P., 2017. "Optimal thermal and thermodynamic performance of a solar parabolic trough receiver with different nanofluids and at different concentration ratios," Applied Energy, Elsevier, vol. 193(C), pages 393-413.
    26. 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.
    27. 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.
    28. Siddhartha, & Sharma, Naveen & Varun,, 2012. "A particle swarm optimization algorithm for optimization of thermal performance of a smooth flat plate solar air heater," Energy, Elsevier, vol. 38(1), pages 406-413.
    29. Meiser, S. & Schneider, S. & Lüpfert, E. & Schiricke, B. & Pitz-Paal, R., 2017. "Evaluation and assessment of gravity load on mirror shape and focusing quality of parabolic trough solar mirrors using finite-element analysis," Applied Energy, Elsevier, vol. 185(P2), pages 1210-1216.
    30. 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.
    31. 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.
    32. Tagle-Salazar, Pablo D. & Nigam, K.D.P. & Rivera-Solorio, Carlos I., 2018. "Heat transfer model for thermal performance analysis of parabolic trough solar collectors using nanofluids," Renewable Energy, Elsevier, vol. 125(C), pages 334-343.
    33. 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.
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