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Mechanical galloping of overhead power transmission lines may cause flashover between lines and damage of insulator and tower. Existing models of galloping are not complete to simulate the galloping of three dimensional vibration coupling. In this paper, a three-degree of freedom model is suggested to account for the influences of environmental conditions, geometrical configurations and movement coupling properties. It can be deduced from the model that the power line galloping, with change of environmental conditions, may transit between activities of inertia coupling, vertical exciting and twisting inspiring, and the galloping amplitude is governed by the aerodynamic factors and coupling properties. The simulation results indicate that the galloping of transmission line can be limited by using air-flow-spoilers. The proposed model, simulation results and anti-galloping measures may be helpful for utilities to assess transmission line galloping performance and design of mitigating strategies.