Abstract: Wire damper (bretelles) is an ideal device to protect overhead conductors from damage by aeolian vibration, which is widely used on long span transmission lines in China. After the theoretical mechanical model of wire damper is built, the complex static deformation of wire damper is solved and established, energy dissipation calculation formulae are derived, so the vibration energy dissipated by β wire dampers can be considered in energy balance method. Then the computer program based on energy balance method is developed by applying Matlab, and Ultra high Voltage (UHV) Yangtze River large crossing ground wires are analyzed. One β wire dampers plus stockbridge dampers combination anti-vibration measure is designed to suppress its aeolian vibration. The calculation results show that this damping device can satisfy with UHV long span transmission lines vibration prevention requirement. So this method can provide reference for the research and construction of UHV engineering projects.