During grid high-voltage ride-through (HVRT), a wind turbine (WT) with fully-rated converter (FRC) would experience an overvoltage at the DC link, which can threaten the safety of the DC link capacitors and the connected power modules. This paper investigates the process of the DC link voltage rise. Two concepts, current operating range (COR) and performance factor, are introduced to help propose a grid-side converter control strategy, in which the DC link overvoltage is greatly released or eliminated through injection of quantitative reactive current derived from the current margin of fully-rated converter and the grid voltage. The injected levels of reactive current into the grid are determined under different grid overvoltage conditions with reduced magnitude and occurrence of the DC link overvoltage. Thereby, the high-voltage ride-through capability of the fully-rated converter wind turbine is significantly improved. The detailed verification is obtained through simulations using DIgSILENT PowerFactory.