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Research Papers

Forced Vibration of Overhead Transmission Line: Analytical and Experimental Investigation

[+] Author and Article Information
O. Barry

Department of Mechanical
and Industrial Engineering,
University of Toronto,
Toronto, ON M5S 3G8, Canada
e-mail: oumar.barry@utoronto.ca

J. W. Zu

Department of Mechanical
and Industrial Engineering,
University of Toronto,
Toronto, ON M5S 3G8, Canada

D. C. D. Oguamanam

Department of Mechanical
and Industrial Engineering,
Ryerson University,
Toronto, ON M5B 2K3, Canada

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 9, 2013; final manuscript received April 29, 2014; published online May 22, 2014. Assoc. Editor: Mohammed Daqaq.

J. Vib. Acoust 136(4), 041012 (May 22, 2014) (8 pages) Paper No: VIB-13-1393; doi: 10.1115/1.4027578 History: Received November 09, 2013; Revised April 29, 2014

An analytical model of a single line transmission line carrying a Stockbridge damper is developed based on the Euler–Bernoulli beam theory. The conductor is modeled as an axially loaded beam and the messenger is represented as a beam with a tip mass at each end. Experiments are conducted to validate the proposed model. An explicit expression is presented for the damping ratio of the conductor. Numerical examples show that the proposed model is more accurate than the models found in the literature. Parametric studies indicate that the response of the conductor significantly depends on the excitation frequency, the location of the damper, and the damper parameters.

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References

Lu, M. L., and Chan, J. K., 2007, “An Efficient Algorithm for Aeolian Vibration of Single Conductor With Multiple Dampers,” IEEE Trans. Power Delivery, 22(3), pp. 1822–1829. [CrossRef]
Claren, R., and Diana, G., 1969, “Mathematical Analysis of Transmission Line Vibration,” IEEE Trans. Power Delivery, 60(2), pp. 1741–1771. [CrossRef]
Kraus, M., and Hagedorn, P., 1991, “Aeolian Vibration: Wind Energy Input Evaluated From Measurements on an Energized Transmission Lines,” IEEE Trans. Power Delivery, 6(3), pp. 1264–1270. [CrossRef]
Verma, H., and Hagerdorn, P., 2004, “Wind Induced Vibration of Long Electrical Overhead Transmission Line Spans: A Modified Approach,” J. Wind Struct., 8(2), pp. 89–106. [CrossRef]
Tompkins, J. S., Merill, L. L., and Jones, B. L., 1956, “Quantitative Relationships in Conductor Vibration Using Rigid Models” IEEE Trans. Power Apparatus Syst., 75(11), pp. 879–894.
Rawlins, C. B., 1958, “Recent Developments in Conductor Vibration,” Alcoa Technical Paper No. 13, 1958.
Nigol, O., and Houston, H. J., 1985, “Aeolian Vibration of Single Conductor and Its Control,” IEEE Trans. Power Delivery, 104(11), pp. 3245–3254. [CrossRef]
Hardy, C., and Noiseux, D. U., 1996, Modeling of a Single Conductor-Damper System Response, Vol 1: Theoretical and Validation Manual, CEA, Hydro, QC, Montreal, Canada.
Noiseux, D. U., Hardy, C., and Houle, S., 1987, “Statistical Methods Applied to Aeolian Vibration of Overhead Conductors,” J. Sound Vib., 113(2), pp. 245–255. [CrossRef]
Tsui, Y. T., 1982, “Recent Advances in Engineering Science as Applied to Aeolian Vibrations an Alternative Approach,” Electr. Power Res., 5, pp. 73–85. [CrossRef]
Gonçalves, R. T., Rosetti, G. F., Fujarra, A. L. C., Franzini, G. R., Freire, C. M., and Meneghini, J. R., 2012, “Experimental Comparison of Two Degrees-of-Freedom Vortex-Induced Vibration on High and Low Aspect Ratio Cylinders With Small Mass Ratio,” ASME J. Vib. Acoust., 134, p. 0161009.
Barry, O., Oguamanam, D. C. D., and Lin, D. C., 2010, “Free Vibration Analysis of a Single Conductor With a Stockbridge Damper,” 23rd Canadian Congress of Applied Mechanics (CANCAM 2011), Vancouver, Canada, June 5–9, pp. 944–946.
Barry, O., Oguamanam, D. C. D., and Lin, D. C., 2013,”Aeolian Vibration of a Single Conductor With a Stockbridge Damper,” IMechE: Part C, J. Mech. Eng. Sci., 227(5), pp. 935–945. [CrossRef]
Barry, O., Zu, J. W., and Oguamanam, D. C. D., 2014, “Analytical and Experimental Investigation of Overhead Transmission Line Vibration,” J. Vib. Control (in press). [CrossRef]
IEEE Power & Energy Society, 1978, “IEEE Guide on Conductor Self-Damping Measurements,” Institute of Electrical and Electronics Engineers, New York, IEEE Standard No. 563–1978. [CrossRef]
Rawlins, C. B., 1982 “Power Imparted by Wind to a Model of a Vibrating Conductor,” ALCOA Laboratories, Massena, NY, Report No. 93-82-1.
Diana, G., Falco, M., and Manenti, A., 2000, “On the Measurement of Overhead Transmission Lines Conductor Self-Damping,” IEEE Trans. Power Delivery, 15(1), pp. 285–292. [CrossRef]

Figures

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Fig. 1

Schematic of a single conductor with a Stockbridge damper

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Fig. 2

Close-up of damper

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Fig. 3

Schematic of experimental setup

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Fig. 4

Photograph of the conductor, shaker, load cell, and accelerometer

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Fig. 5

Conductor damping constant for fixed frequency for T = 20% RTS

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Fig. 6

Conductor damping constant for fixed frequency for T = 25% RTS

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Fig. 7

Conductor damping constant for a fixed vibration amplitude for T = 20% RTS

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Fig. 8

Conductor damping constant for fixed vibration amplitude for T = 25% RTS

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Fig. 9

Vibration response of the conductor with and without self-damping for F0 = 22.5 N, f = 26.5 Hz, and ζ = 0.006

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Fig. 10

Validation for the bare conductor

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Fig. 11

Validation for the loaded conductor (Ld=Lc2)

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Fig. 12

Effect of damper location for F0 = 22.5 N, f = 26.5 Hz, and ζ = 0.006

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Fig. 13

Vibration response of a typical span length of transmission line with and without a damper

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Fig. 14

Bending strain of a typical span length of transmission line with and without dampers

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