Different numerical techniques for the solution of transcendental eigenvalue problem in transmission line bundles

Abstract

The problem of a bundled transmission line attached with many spacer dampers is formulated by considering the conductor as a continuous system. The formulation results in a complex transcendental eigenvalue problem (TEVP), which presents several numerical difficulties. Some approaches towards solving the TEVP and their respective difficulties in getting the solutions are discussed in detail. The solution of the TEVP gives the necessary input data for applying the energy balance, which is used in order to obtain the actual vibration amplitudes of the transmission line conductors.