DOI QR코드

DOI QR Code

A high-efficiency simulation method of wind field and its application on transmission line

  • Fu, Xing (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Zhang, Xing-Heng (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Li, Hong-Nan (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Li, Gang (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Liu, Hui-Juan (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology)
  • 투고 : 2021.01.16
  • 심사 : 2021.05.26
  • 발행 : 2021.10.25

초록

Generally, the fluctuating wind is simplified as several independent one-dimensional multivariate stationary Gaussian processes in simulating a natural wind field. The correlation in the lateral, longitudinal and vertical directions should all be considered in the simulation of longitudinal wind field for the large-span spatial structures. In fact, this type of structure has lots of simulation points. The calculation amount of wind field simulation by the harmonic superposition method depends on the scale of cross-spectral density matrix, which is directly related to the number of simulated points, leading to a low efficiency when generating the time-varying wind speed. This paper innovatively proposes a high-efficiency simulation method for the longitudinal wind field based on Taylor's hypothesis. Subsequently, the effectiveness of the proposed wind field method was verified by the numerical simulation. Finally, the dynamic responses of a transmission tower-line system under the wind loadings generated with the new method and traditional method are calculated and compared. The percentages difference of the mean and maximum axial force at the main tower members are less than 0.02% and 1%, respectively, indicating the effectiveness of the proposed time delay method. The results also show that the proposed simulation method of wind field can not only ensure the simulation accuracy, but also significantly improve the efficiency of wind speed generation, which is suitable for the wind load simulation of large-span spatial structures.

키워드

과제정보

This research was supported by the Opening Fund of Key Laboratory of New Technology for Construction of Cities in Mountain Area, Ministry of Education (Grant No. LNTCCMA-20210112) and the National Natural Science Foundation of China (Grant No. 52078104).

참고문헌

  1. Armitt, J., Cojan, M., Manuzio, C. and Nicolini, P. (1975), "Calculation of wind loadings on components of overhead lines", Proceedings of the Institution of Electrical Engineers, 122(11), 1247-1252. https://doi.org/10.1049/piee.1975.0306
  2. ASCE 74-2009 (2009), Guidelines for Electrical Transmission Line Structural Loading Third Edition, American Society of Civil Engineers; Washington, U.S.A.
  3. Augusti, G., Borri, C. and Gusella, V. (1990), "Simulation of wind loading and response of geometrically non-linear structures with particular reference to large antennas", Struct. Safety, 8(1-4), 161-179. https://doi.org/10.1016/0167-4730(90)90038-Q
  4. Cebon, D. (1993), Interaction Between Heavy Vehicles and Roads, SP-951; Society of Automotive Engineers. http://dx.doi.org/10.4271/930001.
  5. Davenport, A.G. (1961), "The spectrum of horizontal gustiness near the ground in high winds", Quart. J. Royal Meteorol. Soci., 87(372), 194-211. https://doi.org/10.1002/qj.49708737208.
  6. Deodatis, G. (1996), "Simulation of ergodic multivariate stochastic processes", J. Eng. Mech.-ASCE., 122(8), 778-787. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:8(778).
  7. Ding, Q.S., Zhu, L.D. and Xiang, H.F. (2006), "Simulation of stationary Gaussian stochastic wind velocity field", Wind Struct., 9(3), 231-243. http://dx.doi.org/10.12989/was.2006.9.3.231.
  8. DL/T 5551-2018 (2018), Load Code for Design of Overhead Transmission Line, National Energy Administration; Beijing, China.
  9. Dua, A., Clobes, M., Hobbel, T. and Matsagar, V. (2015), "Dynamic Analysis of Overhead Transmission Lines under Turbulent Wind Loading", Electron. J. Struct. Eng., 5 359-371. http://creativecommons.org/licenses/by/4.0/.
  10. El Damatty, A. and Elawady, A. (2018), "Critical load cases for lattice transmission line structures subjected to downbursts: Economic implications for design of transmission lines", Eng. Struct., 159 213-226. https://doi.org/10.1016/j.engstruct.2017.12.043.
  11. Fang, J. and Porte-Agel, F. (2015), "Large-eddy simulation of very-large-scale motions in the neutrally stratified atmospheric boundary layer", Bound. Layer Meteorol., 155(3), 397-416. https://doi.org/10.1007/s10546-015-0006-z.
  12. Fu, X. and Li, H. (2016), "Dynamic analysis of transmission tower-line system subjected to wind and rain loads", J. Wind Eng. Ind. Aerod., 157, 95-103. https://doi.org/10.1016/j.jweia.2016.08.010.
  13. Fu, X., Li, H., Li, G. and Dong, Z. (2020), "Fragility analysis of a transmission tower under combined wind and rain loads", J. Wind Eng. Ind. Aerod., 199, 104098. https://doi.org/10.1016/j.jweia.2020.104098
  14. Fu, X., Li, H., Li, G., Dong, Z. and Zhao M. (2021), "Failure analysis of a transmission line considering the joint probability distribution of wind speed and rain intensity", Eng. Struct., 233, 111913. https://doi.org/10.1016/j.engstruct.2021.111913.
  15. Harris, R.I. (1971), The Natural of the Wind, the Modern Design of Wind-Sensitive Structures, Construction Industry Research and Information Association, London.
  16. He, G., Jin, G. and Yang, Y. (2017), "Space-time correlations and dynamic coupling in turbulent flows", Annu. Rev. Fluid Mech., 49, 51-70. https://doi.org/10.1146/annurev-fluid-010816-060309.
  17. Higgins, C.W., Froidevaux, M., Simeonov, V., Vercauteren, N., Barry, C. and Parlange, M.B. (2012), "The effect of scale on the applicability of Taylor's frozen turbulence hypothesis in the atmospheric boundary layer", Bound. Lay. Meteorol., 143(2), 379-391. https://doi.org/10.1007/s10546-012-9701-1.
  18. Huang, G., Liao, H. and Li, M. (2013), "New formulation of Cholesky decomposition and applications in stochastic simulation", Probabil. Eng. Mech., 34 40-47. https://doi.org/10.1016/j.probengmech.2013.04.003.
  19. Hutchins, N., Chauhan, K., Marusic, I., Monty, J. and Klewicki, J. (2012), "Towards reconciling the large-scale structure of turbulent boundary layers in the atmosphere and laboratory", Bound. Lay. Meteorol., 145(2), 273-306. https://doi.org/10.1007/s10546-012-9735-4
  20. Iannuzzi, A. and Spinelli, P. (1987), "Artificial wind generation and structural response", J. Struct. Eng.-ASCE., 113(12), 2382-2398. https://doi.org/10.1007/s10546-012-9735-4.
  21. Iwatani, Y. (1982), "Simulation of multidimensional wind fluctuations having any arbitrary power spectra and cross spectra", J. Wind Eng., 1982(11), 5-18. https://doi.org/10.5359/jawe1980.1982.5.
  22. Jacob, C. and Anderson, W. (2017), "Conditionally averaged large-scale motions in the neutral atmospheric boundary layer: Insights for aeolian processes", Bound. Lay. Meteorol., 162(1), 21-41. https://doi.org/10.1007/s10546-016-0183-4.
  23. Kaimal, J., Wyngaard, J., Izumi, Y. and Cote, R. (1972), "Spectral characteristics of surface-layer turbulence", Quart. J. Royal Meteorol. Soc., 98 563-589. https://doi.org/10.1002/qj.49709841707.
  24. Kitagawa, T. and Nomura, T. (2003), "A wavelet-based method to generate artificial wind fluctuation data", J. Wind Eng. Ind. Aerod., 91(7), 943-964. https://doi.org/10.1016/S0167-6105(03)00037-0.
  25. LI, C. and LIU, C. (2010), "RBF-neural-network-based harmony superposition method", J. Vib. Shock, 29(1), 112-116. https://doi.org/10.3969/j.issn.1000-3835.2010.01.024
  26. Li, Y., Zhou, S. and Qiang, S. (2003), "Simulation of three-dimensional fluctuating wind field for large span cable-stayed bridge", China Civil Eng. J.., 36(10), 60-65. https://doi.org/10.3321/j.issn:1000-131X.2003.10.012
  27. Mara, T.G., Hong, H.P., Lee, C.S. and Ho, T.C.E. (2016), "Capacity of a transmission tower under downburst wind loading", Wind Struct., 22(1), 65-87. http://dx.doi.org/10.12989/was.2016.22.1.065.
  28. Martinez-Vazquez, P. (2020), "Wind design spectra for generalisation", Wind Struct., 30(2), 155-163. https://doi.org/10.12989/was.2020.30.2.155
  29. Matheson, M.J. and Holmes, J.D. (1981), "Simulation of the dynamic response of transmission lines in strong winds", Eng. Struct., 3(2), 105-110. https://doi.org/10.1016/0141-0296(81)90036-5.
  30. Mignolet, M.P. and Spanos, P.D. (1992), "Simulation of homogeneous two-dimensional random fields. I. AR and ARMA models", Transact. ASME. J. Appl. Mech., 59(2), S260-S269. https://doi.org/10.1115/1.2899499.
  31. Ozono, S. and Maeda, J. (1992), "In-plane dynamic interaction between a tower and conductors at lower frequencies", Eng. Struct., 14(4), 210-216. https://doi.org/10.1016/0141-0296(92)90009-F,
  32. Feng, P., Bingnan, S. and Yong, C. (2008), "Three-dimensional numerical simulation of spatial-correlated stochastic wind field based on double POD model", Eng. Mech., 25(3), 200-205.
  33. Panofsky, H.A., Thomson, D.W., Sullivan, D.A. and Moravek, D.E. (1974), "Two-point velocity statistics over Lake Ontario", Bound. Lay. Meteorol., 7(3), 309-321. https://doi.org/10.1007/BF00240834.
  34. Rossi, R., Lazzari, M. and Vitaliani, R. (2004), "Wind field simulation for structural engineering purposes", Int. J. Numer. Meth. Eng., 61(5), 738-763. https://doi.org/10.1002/nme.1083.
  35. Shinozuka, M. and Jan, C.M. (1972), "Digital simulation of random processes and its applications", J. Sound Vib., 25(1), 111-128. https://doi.org/10.1016/0022-460X(72)90600-1.
  36. Simiu, E. and Yeo, D. (2019), Wind Effects on Structures: Modern Structural Design for Wind, John Wiley & Sons Ltd, West Sussex.
  37. Spanos, P.D. and Mignolet, M.P. (1992), "Simulation of homogeneous two-dimensional random fields. II. MA and ARMA models", Transact. ASME. J. Appl. Mech., 59(2), S270-S277. https://doi.org/10.1115/1.2899499.
  38. Tamura, Y., Kawai, H., Uematsu, Y., Marukawa, H., Fujii, K. and Taniike, Y. (1996), "Wind load and wind-induced response estimations in the recommendations for loads on buildings, AIJ 1993", Eng. Struct., 18(6), 399-411. https://doi.org/10.1016/0141-0296(95)00121-2.
  39. Tian-you, T.A.O. and Hao, W. (2017), "Reduced simulation of the wind field based on Hermite interpolation", 工程力学, 34(3), 182-188. https://doi.org/10.6052/j.issn.1000-4750.2015.09.0768.
  40. Taylor, G.I. (1938), "The spectrum of turbulence", Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), 164(919), 476-490.
  41. Tian, L., Zhang, X. and Fu, X. (2020), "Fragility analysis of a long-span transmission tower-line system under wind loads", Advan. Struct. Eng., 23(10), 1369433220903983. https://doi.org/10.1177%2F1369433220903983. https://doi.org/10.1177%2F1369433220903983
  42. Veers, P.S. (1988), Three-Dimensional Wind Simulation (No. SAND-88-0152C; CONF-890102-9), Sandia National Labs., Albuquerque, NM (USA).
  43. Von Karman, T. (1948), "Progress in the statistical theory of turbulence", Proceedings of the National Academy of Sciences of the United States of America, 34(11), 530. https://dx.doi.org/10.1073%2Fpnas.34.11.530. https://doi.org/10.1073%2Fpnas.34.11.530
  44. Wang, D., Chen, X. and Li, J. (2017), "Prediction of wind-induced buffeting response of overhead conductor: Comparison of linear and nonlinear analysis approaches", J. Wind Eng. Ind. Aerod., 167, 23-40. https://doi.org/10.1016/j.jweia.2017.04.008.
  45. Yamada, M. and Ohkitani, K. (1991), "Orthonormal wavelet analysis of turbulence", Fluid Dyn. Res., 8(1-4), 101-115. https://doi.org/10.1016/0169-5983(91)90034-G
  46. Yang, J. and He, E. (2019), "Modeling of the spatial turbulent wind field based on the modified inverse Fourier transform", Renew. Energy Resoure., 37(11), 1661-1665.
  47. Yasui, H., Marukawa, H., Momomura, Y. and Ohkuma, T. (1999), "Analytical study on wind-induced vibration of power transmission towers", J. Wind Eng. Ind. Aerod., 83 431-441. https://doi.org/10.1016/S0167-6105(99)00091-4.
  48. Zeldin, B.A. and Spanos, P.D. (1996), "Random field representation and synthesis using wavelet bases", J. Appl. Mech. Transact. ASME, 63(4), 946-952. https://doi.org/10.1115/1.2787251.
  49. Zhang, J., Guo, W. and Xiang, C. (2013), "Simulation of stochastic wind field based on covariance proper transformation and weighted amplitude wave superposition", J. Vib. Shock, 32(21), 197-203.
  50. Zhu, Z. and Huang, Y. (2017), "Interpolation algorithm for fluctuating wind field simulation of long-span bridges", J. Vib. Shock, 36(7), 156-163.
  51. Zou, L., Li, F., Liang, S., Shi, T. and Chen, Y. (2019), "Study on spatial correlation of along-wind fluctuating wind load of lattice tower", J. Hunan Univ. (Natural Sciences), 46(7), 96-103.