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A short-time dynamic scaling approach is extended to study the depinning transition of the two-dimensional frustrated XY model driven by exteal currents. We investigate the sealing behaviour of depinning transition in the XY model with three different flux densities f = 1/2, 1/25, 1/30. The short-time scaling behaviour in the depinning transition of the two-dimensional XY model is clearly shown up. Besides the critical current, the exponent θ is obtained.