PERTURBATION-BASED FINITE ELEMENT ANALYSES OF TRANSMISSION LINE GALLOPING

• Published in: Journal of sound and vibration Vol. 191; no. 4; pp. 469 - 489
• Main Authors: Desai, Y.M., Shah, Yu A.H., Popplewell, N.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 11.04.1996; Elsevier
• Subjects: Applied sciences; Electrical engineering. Electrical power engineering; Electrical power engineering; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Mathematical models; Overhead networks; Physics; Power networks and lines; Q1; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Averaging method; Wind; Ice; Numerical method; Vibration amplitude; Low frequency; Galloping; Finite element method; Transmission line; Overhead line; Galerkin method; Aeroelasticity; Non linear effect; Power transmission line
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1006/jsvi.1996.0135

Efficient perturbation schemes are developed to compute the large amplitude, low frequency, galloping vibrations of a multi-span, overhead transmission line. Systematic procedures are formulated to assess the stability of a conductor's wind and ice loaded static profile by employing a multiple-degree-of-freedom finite element model. The use of the computationally most demanding part of the finite element analysis, namely a time marching process, is minimized by employing the averaging methods of Krylov-Bogoliubov and Galerkin. The methods are applied successfully to simulate field galloping records and their usefulness and advantages are demonstrated through illustrative examples. Alternative designs of transmission line clearances and span lengths can be assessed readily, with the help of the procedures, to achieve a cost-effective solution.