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Effective technique to analyze transmission line conductors under high intensity winds

  • Aboshosha, Haitham (Department of Civil and Environmental Engineering, Western University) ;
  • El Damatty, Ashraf (Department of Civil and Environmental Engineering, Western University)
  • Received : 2013.07.10
  • Accepted : 2013.10.28
  • Published : 2014.03.25

Abstract

An effective numerical technique to calculate the reactions of a multi-spanned transmission line conductor system, under arbitrary loads varying along the spans, is developed. Such variable loads are generated by High Intensity Wind (HIW) events in the form of tornadoes and downburst. First, a semi-closed form solution is derived to obtain the displacements and the reactions at the ends of each conductor span. The solution accounts for the nonlinearity of the system and the flexibility of the insulators. Second, a numerical scheme to solve the derived closed-form solution is proposed. Two conductor systems are analyzed under loads resulting from HIW events for validation of the proposed technique. Non-linear Finite Element Analyses (FEA) are also conducted for the same two systems. The responses resulting from the technique are shown to be in a very good agreement with those resulting from the FEA, which confirms the technique accuracy. Meanwhile, the semi-closed form technique shows superior efficiency in terms of the required computational time. The saving in computational time has a great advantage in predicting the response of the conductors under HIW events, since this requires a large number of analyses to cover different potential locations and sizes of those localized events.

Keywords

References

  1. Aboshosha, H. and El Damatty, A. (2013), "Downburst induced forces on the conductors of electric transmission lines and the corresponding vulnerability of tower failure", Proceedings of the Canadian Society of Civil Engineers CSCE 2013, Montreal, Quebec, Canada-GEN-164.
  2. Ahmadi-Kashani, K. and Bell, A.J. (1988), "The analysis of cables subject to uniformly distributed loads", Eng. Struct., 10(3), 174-184. https://doi.org/10.1016/0141-0296(88)90004-1
  3. Darwish M., El Damatty A. and Hangan, H. (2010), "Dynamic characteristics of transmission line conductors and behaviour under turbulent downburst loading", Wind Struct., 13(4), 327-346. https://doi.org/10.12989/was.2010.13.4.327
  4. El Damatty, A. and Hamada, A. (2012), "Behaviour of guyed transmission line structures under tornado wind loads - case studies", Proceedings of the ASCE -Structural Engineering Institute - Electrical Transmission and Substation Structures Conference, Columbus, Ohio, USA, November .
  5. El Damatty, A. and Aboshosha, H. (2012), "Capacity of electrical transmission towers under downburst loading", Proceedings of the 1st Australasia and South-East Asia Structural Engineering and Construction Conference, Perth, Australia.
  6. Fujita, T.T. (1990), "Downbursts: meteorological features and wind field characteristics", J. Wind Eng. Ind. Aerod., 36(1), 75-86. https://doi.org/10.1016/0167-6105(90)90294-M
  7. Hangan, H. and Kim, J. (2007), "Numerical simulations of impinging jets with application to downbursts", J. Wind Eng. Ind. Aerod., 95(4), 279-298. https://doi.org/10.1016/j.jweia.2006.07.002
  8. Hangan, H. and Kim, J. (2008), "Swirl ratio effects on tornado vortices in relation to the Fujita scale", Wind Struct., 11(4), 291-302. https://doi.org/10.12989/was.2008.11.4.291
  9. Hamada, A. and El Damatty, A.A. (2011), "Behaviour of guyed transmission line structures under tornado wind loading", Comput. Struct., 89(11-12), 986-1003. https://doi.org/10.1016/j.compstruc.2011.01.015
  10. Irvine, H.M. (1981), Cable structures, MIT Press, Cambridge.
  11. Koziey, B. and Mirza, F. (1994), "Consistent curved beam element", Comput. Struct., 51(6), 643-654. https://doi.org/10.1016/S0045-7949(05)80003-3
  12. Li, C.Q. (2000), "A stochastic model of severe thunderstorms for transmission line design", Probabilist. Eng. Mech., 15, 359-364. https://doi.org/10.1016/S0266-8920(99)00037-5
  13. Manitoba Hydro Transmission and Civil Design Department (1999), "Bipole 1 & 2 HVDC transmission line wind storm failure on September 5, 1996 review of emergency response, restoration and design of these lines", Manitoba Hydro, 98-L1/1-37010-06000, 54.
  14. Savory, E., Parke, G.A.R., Zeinoddini, M., Toy, N. and Disney, P. (2001), "Modeling of tornado and microburst-induced wind loading and failure of a lattice transmission tower", Eng. Struct., 23(4), 365-375. https://doi.org/10.1016/S0141-0296(00)00045-6
  15. Shehata, A.Y., El Damatty, A.A. and Savory, E. (2005), "Finite element modeling of transmission line under downburst wind loading", Finite Elem. Anal. Des., 42(1), 71-89. https://doi.org/10.1016/j.finel.2005.05.005
  16. Shehata, A.Y. and El Damatty, A.A. (2007), "Behaviour of guyed transmission line structures under downburst wind loading", Wind Struct., 10(3), 249-268. https://doi.org/10.12989/was.2007.10.3.249
  17. Shehata, A.Y. and El Damatty, A.A. (2008), "Failure analysis of a transmission tower during a microburst", Wind Struct., 11(3), 193-208. https://doi.org/10.12989/was.2008.11.3.193
  18. Wei, P., Bingnan, S. and Jinchun T. (1999), "A catenary element for the analysis of cable structures", Appl. Math. Mech. Eng., 20(5), 0253-4827
  19. Winkelman, P.F. (1959), "Sag-tension computations and field measurements of Bonneville power administration", AIEE Paper, 59-900
  20. Yu, P., Wong, P. and Kaempffer, F. (1995), "Tension of conductor under concentrated loads", J. Appl. Mech. - T. ASME, 62(3), 802-809. https://doi.org/10.1115/1.2897017

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