Abstract
Linear Fresnel collector system as main solar energy collecting technology is widely studied. The secondary reflector has significant influence on the heat flux distribution on the linear Fresnel collector. In this work, the heat flux and temperature distribution on linear Fresnel collector is compared with different secondary reflectors of simple trapezoidal concentrator, segmented parabolic concentrator and compound parabolic concentrator under varied incident ray angle. The uniformity index is applied to evaluate the Linear Fresnel reflector system heat flux distribution performance. The results show that the value of uniformity index increases with the increasing of incident ray angle. The compound parabolic concentrator has the highest value of uniformity index compared with simple trapezoidal concentrator and segmented parabolic concentrator in this work. The highest value of uniformity index is 0.8137 with compound parabolic concentrator. This work provides effective and practical guide to design and evaluate the secondary reflector in linear Fresnel reflector system.
Similar content being viewed by others
Abbreviations
- D :
-
width of the mirror/m
- f :
-
focal length/m
- H :
-
height of receiver from axial plane of mirrors/m
- Q n :
-
distance of n-th mirror axis from central plane of the collector/m
- r t :
-
absorber tube radius/m
- r g :
-
glass envelope radius/m
- S n :
-
distance between the adjacent mirror axes/m
- W :
-
the width of the opening of the secondary concentrator/m
- CPC:
-
Compound Parabolic Concentrator
- DNI:
-
Direct Normal Irradiance/W·m−2
- LFC:
-
Linear Fresnel reflector
- SPC:
-
Segmented Parabolic Concentrator
- TC:
-
Trapezoidal Concentrator
- α :
-
sunlight incident angle/(°)
- α n :
-
mirror elements normal direction elevation angle/(°)
- α S :
-
elevating angle/(°)
- β n :
-
the nth mirror and the horizontal plane angle/(°)
- γ n :
-
mirror elements normal direction azimuth
- γ S :
-
Azimuth/(°)
- θ a :
-
acceptance angle/(°)
- n :
-
number of the primary reflector
References
Wang G., Shen F., Wang F., et al., Design and experimental study of a solar CPV system using CLFR concentrator. Sustainable Energy Technologies and Assessments, 2020, 40: 100751.
Sahar M., Amir M., Akbar A.A., Pooya M., Theoretical performance analysis of new class of Fresnel concentrated solar thermal collector based on parabolic reflectors. Sustainable Energy Technologies and Assessments, 2019, 31: 25–33.
Zhang P., Reserach on model predictive control of the collecting system of linear Fresnel photothermal power plant. Lanzhou Jiaotong University, 2019.
Francia G., Pilot plants of solar steam generating stations. Solar Energy, 1968, 12(1): 51–64.
Du C., Wang P., Ma C., Introduction on linear Fresnel reflector system. Energy Research Management, 2010, (03): 7–9.
Feuermann D., Gordon J.M., Analysis of a two-stage linear Fresnel reflector solar concentrator. Journal of Solar Energy Engineering, 1991, 113(4): 272–279.
Singh P.L., Ganesan S., Yàdav G.C., Technical note: Performance study of a linear Fresnel concentrating solar device. Renewable Energy, 1999, 18(3): 409–416.
Mills D.R., Morrison G.L., Compact Linear Fresnel Reflector solar thermal power plants. Solar Energy, 2000, 68(3): 263–283.
Grena R., Tarquini P., Solar linear Fresnel collector using molten nitrates as heat transfer fluid. Energy, 2010, 36(2): 1048–1056.
Evangelos B., Christos T., Angelos P., Secondary concentrator optimization of a linear Fresnel reflector using Bezier polynomial parametrization. Solar Energy, 2018, 171: 716–727.
Zhu G., New adaptive method to optimize the secondary reflector of linear Fresnel collectors. Solar Energy, 2017, 144: 117–126.
Prasad G., Reddy K.S., Sundararajan T., Optimization of solar linear Fresnel reflector system with secondary concentrator for uniform flux distribution over absorber tube. Solar Energy, 2017, 150: 1–12.
Ma J., Wang C., Xia Y., Research progress on secondary concentrator for linear Fresnel reflector. Scientia Sinica Technologica, 2020, 50(08): 997–1008.
Men J., Zhao X., Leng Y., Cheng X., He Y.L., Study on multi-objective optimization of optical comprehensive performance of linear Fresnel reflector concentrator. Journal of Engineeringsics Thermophy, 2020, 41(07): 1706–1711.
Lopez-Nunez O.A., Alfaro-Ayala J.A., Ramirez-Minguela J.J., et al., Optimization of a linear Fresnel reflector applying computational fluid dynamics, entropy generation rate and evolutionary programming. Renew Energy, 2020, 152: 698–712.
Beltagy H., The effect of glass on the receiver and the use of two absorber tubes on optical performance of linear Fresnel solar concentrators. Energy, 2021, 224: 120111.
Hack M., Zhu G., Wendelin T., Evaluation and comparison of an adaptive method technique for improved performance of linear Fresnel secondary designs. Applied Energy, 2017, 208: 1441–1451.
Liang K., Xue K., Zhang H., Chen H., Ni J., Design and performance analysis of an annular Fresnel solar concentrator. Energy, 2020, 210: 118594.
Wang C., Ma J., Fang D., Arrangement and optimization of mirror field for linear Fresnel reflector system. Optical Precision Engineering, 2015, 23(01): 78–82.
Winston R., Hinterberger H., Principles of cylindrical concentrators for solar energy. Solar Energy, 1975, 17(4): 255–258.
Abbas R., Sebastián A., Montes M.J., et al., Optical features of linear Fresnel collectors with different secondary reflector technologies. Applied Energy, 2018, 232: 386–397.
Wang Z., Tian R., Qi J., Li P., Wei Q., Structural design and optical performance of inverted trapezoidal cavity receiver. Acta Optica Sinica, 2017, 37(12): 331–340.
Zhao D., Zhao L., Deng S., Wang D., Lu Y., Shao Y., A quantitative evaluation method for uniformity of heat flux distribution in the parabolic trough collector. Science Bulletin, 2019, 64(04): 485–492.
Peng W., Hussein E., Sadaghiani O.K., Evaluation of heat flux distribution uniformity around the receiver tube of parabolic trough collector based on six statistical and geometrical indices. International Journal of Heat and Mass Transfer, 2021, 164: 120547.
Weltens H., Bressler H., Terres F., Neumaier H., Rammoser D., Optimization of catalytic converter gas flow distribution by CFD prediction. International Congress & Exposition, 1993.
Shang W., A new indicator to reflect the degree of income difference-the residual expectation coefficient. Statistical Research, 2004, (01): 35–37.
Du C., Wang P., Ma C., Wu Y., Introduction and modeling application of Soltrace. Solar Energy, 2011, 21: 17–21, 46.
Du C., Wang P., Ma C., Wu Y., Optical geometric method for LFR mirror field arrangement without shading and blocking. Acta Optica Sinica, 2010, 30(11): 3276–3282.
Du C., Wang P., Wu Y., Ma C., Radiation algorithm of linear Fresnel reflector mirror field. CIESC Journal, 2011, 62: 179–184.
Qiu Y., He Y., Cheng Z., Wang K., Study on optical and thermal performance of a linear Fresnel solar reflector using molten salt as HTF with MCRT and FVM methods. Applied Energy, 2015, 146: 162–173.
Han, Y., Zhang, C., Wu, Y., Lu, Y., Investigation on thermal performance of quaternary nitrate-nitrite mixed salt and solar salt under thermal shock condition. Renewable Energy, 2021, 175: 1041–1051.
Acknowledgment
This research has been financially supported by National Natural Science Foundation of China (NSFC) (51906003), Hebei province key research and development program (19214303D) and Inner Mongolia Science and Technology Major Project (2021SZD0036).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wu, Y., Qian, L., Zhang, C. et al. Comparative Study on Heat Flux and Temperature Distribution Performance of Linear Fresnel Collector Based on Uniformity Index. J. Therm. Sci. 31, 678–688 (2022). https://doi.org/10.1007/s11630-022-1613-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11630-022-1613-x