Abstract
In high voltage overhead transminion lines, bundles of conductors are used frequently
for mechanical and electrical reasons. These bundled conductoni are partioularl;y susceptible
to wind excited vibrations in the frequency range approximately from 10 to 60 Hz,
due to vortex shedding. The usual dampers of tho Stockbridge or of a aimilar type located
near the suspension clamp do not lead to pervaaive damping of the whole bundle. In recent
years self-damping spacers have therefore been used to limit the danger of conductor fatigue
due to aeolian vibrations. The numerical treatment of the boundary value problem for
bundles equipped with self-damping spacers leads to complicated and poorly conditioned
equations. In the present paper, a self·dampins spacer is considered in a bundle of rour
conducton. The energy dissipation associated with the mathematical model for this spacer
can be expressed in the form of a symmetric matrix of dimcnaion 16 >< 16. By solving the
relatively small eigenvalue problem deftned by the corresponding 16 >< 16 matrix, the spacer
damper can be optimized with respect to mechanical eneray dissipation by maximizing the
smallest real part of its eigenvalues.
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