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Evaluation of survival stow position and stability analysis for heliostat under strong wind

  • Geological, Civil, Energy and Traffic Engineering
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Abstract

Heliostats are sensitive to the wind load, thus as a key indicator, the study on the static and dynamic stability bearing capacity for heliostats is very important. In this work, a numerical wind tunnel was established to calculate the wind load coefficients in various survival stow positions. In order to explore the best survival stow position for the heliostat under the strong wind, eigenvalue buckling analysis method was introduced to predict the critical wind load theoretically. Considering the impact of the nonlinearity and initial geometrical imperfection, the nonlinear post-buckling behaviors of the heliostat were investigated by load-displacement curves in the full equilibrium process. Eventually, combining B-R criterion with equivalent displacement principle the dynamic critical wind speed and load amplitude coefficient were evaluated. The results show that the determination for the best survival stow position is too hasty just by the wind load coefficients. The geometric nonlinearity has a great effect on the stability bearing capacity of the heliostat, while the effects of the material nonlinearity and initial geometrical imperfection are relatively small. And the heliostat is insensitive to the initial geometrical imperfection. In addition, the heliostat has the highest safety factor for wind-resistant performance in the stow position of 90-90 which can be taken as the best survival stow position. In this case, the extreme survival wind speeds for the static and dynamic stability are 150 m/s and 36 m/s, respectively.

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References

  1. KOLB G J, JONES S A, DONNELLY M W, GORMAN D, THOMAS R, DAVENPORT R, LUMIA R. Heliostat cost reduction study[R]. New Mexico: Sandia National Laboratories, 2007.

    Google Scholar 

  2. COVENTRY J, PYE J. Heliostat cost reduction-where to now? [C]// PITCHUMANI R. Energy Procedia. Amsterdam, Netherland: Elsevier Science BV, 2013: 60–70.

    Google Scholar 

  3. YELLOWHAIR J, ANDRAKA C E. Evaluation of advanced heliostat reflective facets on cost and performance [C]// PITCHUMANI R. Energy Procedia. Amsterdam, Netherland: Elsevier Science BV, 2013: 265–274.

    Google Scholar 

  4. SUN Hong-hang, GONG Bo, YAO Qiang. A review of wind loads on heliostat and trough collectors [J]. Renewable and Sustainable Energy Reviews, 2014, 32: 206–221.

    Article  Google Scholar 

  5. PETERKA J A, HOSOYA N, BIENKIEWICZ B, CERMAK J E. Wind load reduction for heliostats [R]. Colorado: Colorado State University, 1986.

    Book  Google Scholar 

  6. PETERKA J A, TAN Z, BIENKIEWICZ B, CERMAK J E. Mean and peak wind load reduction on heliostats [R]. Colorado: Colorado State University, 1987.

    Book  Google Scholar 

  7. PETERKA J A, TAN Z, BIENKIEWICZ B, CERMAK J E. Wind loads on heliostats and parabolic dish collectors [R]. Colorado: Colorado State University, 1988.

    Google Scholar 

  8. PFAHL A, UHLEMANN H. Wind loads on heliostats and photovoltaic trackers at various Reynolds numbers [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2011, 99: 964–968.

    Article  Google Scholar 

  9. PFAHL A, BUSELMEIER M, ZASCHKE M. Wind loads on heliostats and photovoltaic trackers of various aspect ratios [J]. Solar Energy, 2011, 85: 2185–2201.

    Article  Google Scholar 

  10. PFAHL A, BRUCKS A, HOLZE C. Wind load reduction for light-weight heliostats [C]// PITCHUMANI R. Energy Procedia. Amsterdam, Netherland: Elsevier Science BV, 2013: 193–200.

    Google Scholar 

  11. GONG Bo, WANG Zhi-feng, LI Zheng-nong, ZANG Chun-cheng, WU Zhi-yong. Fluctuating wind pressure characteristics of heliostats [J]. Renewable Energy, 2013, 50: 307–316.

    Article  Google Scholar 

  12. GONG Bo, LI Zheng-nong, WANG Zhi-feng, WANG Ying-ge. Wind-induced dynamic response of heliostat [J]. Renewable Energy, 2012, 38: 206–213.

    Article  Google Scholar 

  13. ZANG Chun-cheng, GONG Bo, WANG Zhi-feng. Experimental and theoretical study of wind loads and mechanical performance analysis of heliostats [J]. Solar Energy, 2014, 105: 48–57.

    Article  Google Scholar 

  14. BLACKMON J B. Heliostat drive unit design considerations-site wind load effects on projected fatigue life and safety factor [J]. Solar Energy, 2014, 105: 170–180.

    Article  Google Scholar 

  15. DAVENPORT A G. The relationship of wind structures to wind loading [R]. Teddington, Middlesex: National Physical Laboratory, 1965: 54–102.

    Google Scholar 

  16. ZHANG Xiang-ting. Calculation of structural wind pressure and wind vibration [M]. Shanghai: Tongji University Press, 1985. (in Chinese).

    Google Scholar 

  17. GB50009-2012. Ministry of housing and urban-rural development of the PRC. load code for the design of building structures [S]. 2012. (in Chinese)

  18. European Convention for Constructional Steelwork, Technical Committee. T12: Wind effects recommendations for the calculation of wind effects on buildings and structures [S]. 1978.

  19. DEML M, WUNDERLICH W. Direct evaluation of the “worst” imperfection shape in shell buckling [J]. Computer Methods in Applied Mechanics and Engineering, 1997, 149: 201–222.

    Article  MATH  Google Scholar 

  20. CHEN Xin, SHEN Shi-zhao. Complete load-deflection response and initial imperfection analysis of single-layer lattice dome [J]. International Journal of Space Structures, 1993, 8(4): 271–278.

    Google Scholar 

  21. American Institute of Steel Construction. ANSI/AISC, No. 360-05 Specification for Structural Steel Buildings[S]. 2005.

  22. ZHI Xu-dong, FAN Feng, SHEN Shi-zhao. Elasto-plastic instability of single-layer reticulated shells under dynamic actions [J]. Thin-Walled Structures, 2010, 48: 837–845.

    Article  Google Scholar 

  23. BUDIANSKY B, ROTH R S. Axisymmetric dynamic buckling of clamped shallow spherical shells [R]. Washington D C: NASA, 1962.

  24. VAMVATSIKOS D, CORNELL C A. Incremental dynamic analysis [J]. Earthquake Engineering & Structural Dynamic, 2002, 31(3): 491–514.

    Article  Google Scholar 

  25. VERSTEEG H K, MALALASEKERA W. An introduction to computational fluid dynamics: The finite volume method [M]. Second Edition. New Jersey: Prentice Hall, 2007.

    Google Scholar 

  26. PETERKA J A, DERICKSON R G. Wind load design methods for ground-based heliostats and parabolic dish collectors [R]. Colorado: Colorado State University, 1992.

    Book  Google Scholar 

  27. RAHMAN S M, HASSAN T, CORONA E. Evaluation of cyclic plasticity models in ratcheting simulation of straight pipes under cyclic bending and steady internal pressure [J]. International Journal of Plasticity, 2008, 24(10): 1756–1791.

    Article  MATH  Google Scholar 

  28. FORDE W R B, STIEMER S F. Improved arc length orthogonality methods for nonlinear finite element analysis [J]. Computers and Structures, 1987, 27(5): 625–630.

    Article  MATH  Google Scholar 

  29. LI Jin-hua, LI Chun-xiang. Development of numerical simulations for stochastic wind fields in civil engineering [J]. Journal of Vibration and Shock, 2008, 27(9): 116–125. (in Chinese).

    Google Scholar 

  30. OWEN J S, ECCLES B J, CHOO B S, WOODINGS M A. The application of auto-regressive time series modelling for the timefrequency analysis of civil engineering structures [J]. Engineering Structures, 2001, 23: 521–536.

    Article  Google Scholar 

  31. IANNUZZI A, SPINELLI P. Artificial wind generation and structural response [J]. Journal of Structure Engineering, 1987, 113(12): 2382–2398.

    Article  Google Scholar 

  32. LI Yuan-qi, TAMURA Y. Nonlinear dynamic analysis for large-span single-layer reticulated shells subjected to wind loading [J]. Wind and Structures, 2005, 8(1): 35–48.

    Article  Google Scholar 

  33. CUTTING F M. Heliostat survivability and structural stability for wind loading [C]// Alternative Energy Sources. Washington D C: Hemisphere Publishing Corp, 1978: 463–525.

    Google Scholar 

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Correspondence to Xiao-an Chen  (陈小安).

Additional information

Foundation item: Project(CYB14010) supported by Chongqing Graduate Student Research Innovation Project, China; Project(51405209) supported by the National Natural Science Foundation of China

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Feng, Y., Chen, Xa. & Shan, Wt. Evaluation of survival stow position and stability analysis for heliostat under strong wind. J. Cent. South Univ. 23, 3006–3017 (2016). https://doi.org/10.1007/s11771-016-3364-x

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  • DOI: https://doi.org/10.1007/s11771-016-3364-x

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