DYNAMIC MODEL OF HIGH-FREQUENCY VIBRATION DAMPERS FOR POWER LINE CONDUCTORS

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Alexander Danilin
Andrey Zakharov
Alexander Fedorov
Valery Feldstein

Abstract

A dynamic model of an aeolian vibration damper for overhead power transmission line conductors has been developed, taking into account energy dissipation in the material structure. Based on the model, a dynamic stiffness matrix of the damper has been obtained, intended for use in a combined dynamic model of "conductor – damper". The damper's cable consoles are considered as beams made of a material with internal friction, to which the concept of microplastic deformations is applied. It is believed that the damper design is symmetrical relative to the vertical plane of the conductor sag, and during oscillations, it moves in this plane. The equations of oscillations are obtained in Lagrange form in matrix notations. The influence of the damping coefficient on energy dissipation power and oscillation amplitudes in resonance modes has been studied. The coefficients of amplitude and phase distribution (shape factor) of translational and rotational oscillations of loads have been determined depending on the radius of inertia and load eccentricity. Dimensionless nomograms of the damper arm's natural frequencies have been constructed in relevant parameter change ranges. The dependence of dimensionless dissipation power on frequency has been investigated.

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Danilin, A. ., Zakharov, A., Fedorov, A., & Feldstein, V. (2025). DYNAMIC MODEL OF HIGH-FREQUENCY VIBRATION DAMPERS FOR POWER LINE CONDUCTORS. International Journal for Computational Civil and Structural Engineering, 21(4), 56-72. https://doi.org/10.22337/2587-9618-2025-21-4-56-72

References

EPRI: Transmission Line Reference Book. Wind-Induced Conductor Motion. Electric Power Research Institute, Palo Alto, Cali-fornia, 1979.

Guidelines for standard protection against vibration and sub-vibrations of wires and lightning cables of overhead power trans-mission lines with a voltage of 35-750 kV. RD 34.20.182-90. Service of Excellence, ORGRES, Moscow, 1991, 70 p. (in Rus-sian).

Stockbridge G.H. 1928. Vibration damper, U.S. Patent No. 1.675.391.

SALVI Research Department Paper 2. Dampers efficiency evaluation. 1968, Milan: Salvi Sp. A.

SALVI Research Department Paper 3. SALVI 4D damper. 1968, Milan: Salvi Sp. A.

Chan J. EPRI transmission line reference book: Wind induced-induced conductor motion. Palo Alto, California: Electric Power Research Institute, 2006.

Havard D. Assessment of the Cowal JCT x Longwood TS for vibration control. Toron-to, Ontario, 2008.

Claren R., Diana G. Mathematical analysis of transmission line vibration // IEEE Transactions on Power Apparatus and Sys-tems. 1969, PAS-88(12), pp. 1741-1771.

Wagner H., Ramamurti V., Sastry R.V.R., Hartman K. Dynamics of Stock-bridge dampers // Journal of Sound and Vi-bration, 1973, Vol. 30(2), pp. 207-220.

Allnut J.G., Rowbottom M.D. Damping of Aeolian vibration on overhead lines by vibration dampers // Proceedings of the In-stitute of Electrical and Electronic Engi-neers, 1974, Vol. 121, pp. 1175-1178.

Dhotarad M.S., Ganesan N., Rao B.V.A. Transmission line vibration // Journal of Sound and Vibration, 1978, Vol. 60, pp. 217-227.

Dhotarad M.S., Ganesan N., Rao B.V.A. Transmission line vibration with 4R damp-ers // Journal of Sound and Vibration, 1978, Vol. 60, pp. 604-608.

Hagedorn P. Ein einfaches Rechenmodell zur Berechnung winderregter Schwingung-en an Hochspannugsleitungen mit Dämpfern // Ingenieur Archiv, 1980, Vol. 49, ss. 161-177.

Hagedorn P. On the optimal design of Stockbridge dampers // Proceedings of CIGRE Symposium, Stockholm, 1981, S 22-81, paper 112-10.

Schäfer B. The energy method and the ex-act solution for conductor oscillations, a comparison // Proceedings of CIGRE Sym-posium, Stockholm, 1981, S 22-81, paper 112-11.

Markiewicz M. Optimum dynamic charac-teristics of Stockbridge dampers for dead-end spans // Journal of Sound and Vibra-tion, 1995, Vol. 188(2), pp. 243-256.

Sauter D., Hagedorn P. On the hysteresis of wire cables in Stockbridge dampers // In-ternational Journal of Non-linear Mechanics, 2002, Vol. 37, pp. 1435-1459.

Lu M.L., Chan J.K. An efficient algorithm for Aeolian vibration of single conductor with multiple dampers // IEEE Transactions on Power Delivery, 2007, Vol. 22(3), pp. 1822-1829.

Barbieri N., Barbieri R. Dynamic analysis of Stockbridge damper // Advances in Acoustics and Vibration, 2012, Article ID 659398, 8 p.

Li L., Cao H., Jiang Y., Chen Y., Experi-mental study on mitigation devices of Aeo-lian vibration of bundled conductors // Journal of Vibration and Control, 2013, Vol. 22, pp. 1217-1227.

Langlois S., Legeron F. Prediction of Aeo-lian vibration of transmission line conduc-tors using a nonlinear time history model – Part I: Damper model // IEEE Transactions of Power Delivery, 2014, Vol. 29, Iss. 3, pp. 1168-1175.

Langlois S., Legeron F. Prediction of Aeo-lian vibration of transmission line conduc-tors using a nonlinear time history model – Part II: Conductor and damper model // IEEE Transactions of Power Delivery, 2014, Vol. 29, Iss. 3, pp. 1176-1183.

Barry O., Zu J.W., Oguamanam D.C.D. Nonlinear dynamics of Stockbridge damp-ers // Journal of Dynamic Systems. Meas-urement and Control, 2015, Vol. 137, pp. 1-7.

Barbieri N., Barbieri R., Silva R.A., Mannala M.J., Barbieri L.S. Nonlinear dynamic analysis of wire-rope isolator and Stockbridge damper // Nonlinear Dynamics, 2016, Vol. 86, pp. 501-512.

Havard D. Interaction of vibration dampers with surge arresters CIGRÉ B2 TF 007. Convenor CIGRE Science & Engineering, 2016, Vol. 6, pp. 32-45.

Vaja N., Barry O., Tanbour E. On the modeling and analysis of a vibration ab-sorber for overhead powerlines with multi-ple resonant frequencies // Engineering Structures, 2018, Vol. 175, pp. 711-720.

Foti F., Martinelli L. Hysteretic behavior of Stockbridge dampers: modelling and pa-rameter identification // Mathematical Prob-lems in Engineering, 2018, Vol. 2018, Arti-cle ID 8925121, 17 p.

Luo X., Wang L., Zhang Y. Nonlinear numerical model with contact for Stock-bridge vibration damper and experimental validation // Journal of Vibration and Con-trol, 2016, Vol. 22(5), pp. 1217-1227.

Luo X.Y., Zhang Y.S., Zheng Y.P. Non-linear revision of the linear model for Stockbridge vibration damper and experi-ment validation // Applied Mechanics and Materials, 2013, Vol. 328, pp. 504-508.

Panovko Ya.G. Internal friction during vi-brations of elastic systems. Moscow, Fiz-matgiz, 1960, 193 p. (in Russian).

Sorokin E.S. On the theory of internal fric-tion during vibrations of elastic systems. Moscow, Gosstroizdat, 1960, 131 p. (in Russian).

Papailiou K.O. On the bending stiffness of transmission line conductors // IEEE Trans-actions on Power Delivery, 1997, Vol. 12(4), pp. 1576-1588.

Recommendations for the use of multi-frequency vibration dampers of GWP and unified vibration dampers of GWP on over-head transmission lines with a voltage of 35-750 kV. FROM 34.20.264-2005. Mos-cow: Center for industrial and technical in-formation of energy enterprises and tech-nical training ORGRES. 2008. 20 p. (in Russian).

Filippov A.P. Vibrations of elastic systems. Kiev, Ed. Academy of Sciences of the Ukrainian SSR, 1956, 322 p. (in Russian).

Loitsyansky L.G., Lurie A.I. Course of theoretical mechanics. Vol. II, Moscow, Nauka, 1983, 640 p. (in Russian).

GOST R 51155-2017. Linear fittings. Ac-ceptance rules and test methods, Moscow, Standartinform, 2017, 42 p. (in Russian).

Den Hartog J.P. Mechanical vibrations. Dover Publications, Inc., N.Y., 1985, 449 p.

Panovko Ya.G., Gubanova I.I. Stability and oscillations of elastic systems. Moscow, Nauka, 1964, 336 p. (in Russian).

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