In view of the phenomenon of violent galloping and line-to-line discharge of the additional conductors of the overhead contact system (OCS) of the Lanzhou-Xinjiang high-speed railway in the strong wind environment, according to the structural characteristics of the additional conductors of the overhead contact system, a finite element calculation model of the additional conductors is established, and the type finding calculation of the additional conductors is carried out. The random wind field at the location of the additional conductors in the overhead contact line is simulated using the harmonic superposition method. Wind loads are applied to the conductor model. The unconditional stable Newmark method and load increment method are used to analyze the influence of line parameters on additional conductors galloping and line distances. Corresponding measures to prevent galloping are proposed. The results show that a span of 40 m or smaller has an obvious inhibitory effect on the galloping of the conductors under both low and high wind speeds. Increasing the tension of the two conductors to 6.5 kN and the damping ratio of the conductors to 1.5% or higher can effectively reduce the galloping amplitude of the two conductors. When the span of OCS additional conductors is too large, and the initial tension and damping ratio are too small, it can lead to excessive tension at the suspension point during galloping, increasing the risk of conductor disconnection or breakage accidents. With the decrease of span and the increase of operating tension and damping ratio of additional conductors, the minimum distance between lines shows an increasing trend. Under different line parameters (span, operating tension and damping ratio), the minimum distance between lines decreases with the increase in wind speed. This research provides an effective theoretical basis for the prevention and control of additional conductors galloping and discharge between lines of OCS in the strong wind sections of the Lanzhou-Xinjiang high-speed railway.