Abstract
Considering the combination of the transmission lines and phononic crystals (PCs), we propose a new method to solve the problem of the galloping of overhead transmission lines. The method has two key points: attaching the suitable mass-spring system on each spacer, and periodically arranging the modified spacers along a transmission line. Based on the Bloch’s theorem, the PC transmission lines could generate vibration band gaps (BGs), which would reduce galloping. In order to implement our point, we establish the two-dimensional model of the PC transmission lines and derive the transfer matrix method to calculate the frequency dispersion relation of the vertical transverse vibration. Then, the extremely low frequency BG, in the range of galloping frequency, is obtained and verified based on an example of single conductor. To widen the BG range, we also study the effects of the spacer and the attached mass-spring system on the BG. The wide BG, which even covers the range of 0.338–0.909 Hz, could be given just by using the suitable setting of the spacer and mass-spring system.
Highlights
Overhead transmission lines often vibrate because of wind; examples include Aeolian vibration, sub-span oscillation, and galloping [1]
We will try to combine the transmission lines and phononic crystals (PCs) to study the feasibility of anti-galloping by using band gaps (BGs) property
We just take a single conductor as an example of the PC transmission line
Summary
Overhead transmission lines often vibrate because of wind; examples include Aeolian vibration, sub-span oscillation, and galloping [1]. Considering that galloping belongs to vibration in essence, we believe that introducing the BG property of PCs to the anti-galloping method must have a good effect. For galloping with extremely low frequencies, it is more suitable to consider the locally resonant BGs. At present, the one dimensional [28,29], two dimensional [30,31], and three dimensional [32,33] PCs have all been studied considerably. We will try to combine the transmission lines and PCs to study the feasibility of anti-galloping by using BG property.
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