The gallop of high voltage transmission line can lead a mass disaster to power facilities but it seems that people are not clear totally about the galloping mechanism. To make sure the safety of power grid, this paper studies deeply on the galloping oscillator model of transmission conductor and given the oscillator model which is globally expressed by dimensionless equation. In addition, it also pointed out that system damping cannot be ignored when a single degree of freedom oscillator model is adopted in analyzing the gallop of transmission lines. For the improved three degree of freedom oscillator model, the numerical solution of conductor galloping response is worked out by using the method of Runge Kutta to solve the differential equations. And the aerodynamic force of the conductors is developed into the third-order by Taylor's formula. The differential equations are simplified and solved by averaging and then the parameters will be analyzed.
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