DOI QR코드

DOI QR Code

A simplified method for estimating fundamental periods of pylons in overhead electricity transmission systems

  • Tian, Li (School of Civil Engineering, Shandong University) ;
  • Gao, Guodong (School of Civil Engineering, Shandong University) ;
  • Qu, Bing (School of Civil Engineering, Shandong University)
  • Received : 2020.02.22
  • Accepted : 2020.08.06
  • Published : 2020.08.25

Abstract

In seismic design of a pylon supporting transmission lines in an overhead electricity transmission system, an estimation of the fundamental periods of the pylon in two orthogonal vertical planes is necessary to compute the seismic forces required for sizing pylon members and checking pylon deflections. In current practice, the fundamental periods of a pylon in two orthogonal vertical planes are typically obtained from eigenvalue analyses of a model consisting of the pylon of interest as well as some adjacent pylons and the transmission lines supported by these pylons. Such an approach is onerous and numerically inconvenient. This research focused on development of a simplified method to determine the fundamental periods of pylons. The simplified method is rooted in Rayleigh's quotient and is based on a single-pylon model. The force vectors that can be used to generate the shape vectors required in Rayleigh's quotient are presented in detail. Taking three pylons selected from representative overhead electricity transmission systems having different design parameters as examples, the fundamental periods of the chosen pylons predicted from the simplified method were compared with those from the rigorous eigenvalue analyses. Result comparisons show that the simplified method provides reasonable predictions and it can be used as a convenient surrogate for the tedious approach currently adopted.

Keywords

Acknowledgement

This research was financially supported by the National Natural Science Foundation of China (under Awards No. 51778347, No. 51778348, No. 51578325 and No. 51578324), and the Young Scholars Program of Shandong University (under Award No. 2017WLJH33).

References

  1. Altalmas, A., and El Damatty, A.A. (2014), "Finite element modelling of self-supported transmission lines under tornado loading", Wind Struct., 18(5), 473-495. https://doi.org/10.12989/was.2014.18.5.473.
  2. ASCE. (2016), "Minimum design loads for buildings and other structures" ASCE/SEI 7-16, American Society of Civil Engineers, Reston, V.A.
  3. Asteris, P.G., Repapis, C.C., Foskolos, F., Fotos, A. and Tsaris, A.K. (2017), "Fundamental period of infilled RC frame structures with vertical irregularity", Struct. Eng. Mech., 61(5), 663-674. https://doi.org/10.12989/sem.2017.61.5.663.
  4. CEPP. (1982), Rules of nomenclature for transmission poles and towers, DL/T 1252, Beijing, China Electric Power Press.
  5. Chen, B., Wu, J., Ouyang, Y. and Yang, D. (2018), "Response evaluation and vibration control of a transmission tower-line system in mountain areas subjected to cable rupture", Struct. Monit. Maint., 5(1), 151-171. https://doi.org/10.12989/smm.2018.5.1.151.
  6. Chopra, A.K. (2011), Dynamics of Structures Theory and Applications to Earthquake Engineering. Prentice Hall, Englewood Cliffs, N.J.
  7. Clough, R.W. and Penzien J. AISC. (2016), Dynamics of Structures, McGraw Hill, N.Y.
  8. De, M., Sengupta, P. and Chakraborty, S. (2018), "Fundamental periods of reinforced concrete building frames resting on sloping ground", Earthq. Struct., 14(4), 305-312. https://doi.org/10.12989/eas.2018.14.4.305.
  9. Goel, R.K. and Chopra, A.K. (1997), "Period formulas for moment resisting frame buildings", ASCE J. Struct. Eng., 123(11), 1454-1461. https://doi.org/10.1061/(asce)0733-9445(1997)123:11(1454).
  10. Goel, R.K. and Chopra, A.K. (1998), "Period formulas for concrete shear wall buildings", ASCE J. Struct. Eng., ASCE, 124(4), 426-433. https://doi.org/10.1061/(asce)0733-9445(1998)124:4(426).
  11. Kim, J., Collins, K.R. and Lim, Y.M. (2007), "An approximate formula to calculate the fundamental period of a fixed-free mass-spring system with varying mass and stiffness", Struct. Eng. Mech., 25(6), 717-732. https://doi.org/10.12989/sem.2007.25.6.717.
  12. Li, H.N., Tang, S.Y. and Yi, T.H. (2013), "Wind-rain-induced vibration test and analytical method of high-voltage transmission tower", Struct. Eng. Mech., 48(4), 435-453. https://doi.org/10.12989/sem.2013.48.4.435.
  13. Li, X.Y. and Yu, Y. (2019), "A review of the transmission tower-line system performance under typhoon in wind tunnel test", Wind Struct., 29(2), 87-98. https://doi.org/10.12989/was.2019.29.2.087.
  14. Liu, S., Warn, G.P. and Berman, J.W. (2013), "Estimating natural periods of steel plate shear wall frames", ASCE J. Struct. Eng., 139(1), 574-583. https://doi.org/10.1061/(asce)st.1943-541x.0000610.
  15. Sangamnerkar, P. and Dubey, S.K. (2017), "Equations to evaluate fundamental period of vibration of buildings in seismic analysis", Struct. Monit. Maint., 4(4), 351-364. https://doi.org/10.12989/smm.2017.4.4.351.
  16. Shatnawi, A.S., Al-Beddawe, E.A.H. and Musmar, M.A. (2019), "Estimation of fundamental natural period of vibration for reinforced concrete shear walls systems", Earthq. Struct., 16(3), 295-310. https://doi.org/10.12989/eas.2019.16.3.295.
  17. Shinozuka, M., Cheng, T.C., Feng, M. and Mau, S.T. (1999), "Seismic Performance Analysis of Electric Power Systems", Research Progress and Accomplishments 1997-1999, Multidisciplinary Center for Earthquake Engineering Research, 61-69.
  18. Tian L., Pan H., Ma R., Zhang L. and Liu Z. (2020), "Full-Scale Test and Numerical Failure Analysis of a Latticed Steel Tubular Transmission Tower", Eng. Struct., 208, 109919-1-13. https://doi.org/10.1016/j.engstruct.2019.109919.
  19. Tian, L., Gai, X. and Qu, B. (2017), "Shake table tests of steel towers supporting extremely long-span electricity transmission lines under spatially correlated ground motions", Eng. Struct., 132, 791-807. https://doi.org/10.1016/j.engstruct.2016.11.068.
  20. Tian, L., Yi, S. and Qu, B. (2018), "Orienting ground motion inputs to achieve maximum seismic displacement demands on electricity transmission towers in near-fault regions", ASCE J. Struct. Eng., 144(4). https://doi.org/10.1061/(asce)st.1943-541x.0002000.
  21. Wei, W., Hu, Y., Wang, H. and Pi, Y. (2019), "Seismic responses of transmission tower-line system under coupled horizontal and tilt ground motion", Earthq. Struct., 17(6), 635. https://doi.org/10.12989/eas.2019.17.6.635.
  22. Zhao, Y.G., Zhang, H. and Saito, T. (2017), "A simple approach for the fundamental period of MDOF structures", Earthq. Struct., 13(3), 231-239. https://doi.org/10.12989/eas.2017.13.3.231.

Cited by

  1. Seismic and collapse analysis of a UHV transmission tower-line system under cross-fault ground motions vol.19, pp.6, 2020, https://doi.org/10.12989/eas.2020.19.6.457