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Most of rate-control research focuses on inter-coded frames, instead of intra-coded frames which are more possible to cause the problem of buffer overflow. This letter presents a rate control algorithm for intra-frame coding. We propose a Taylor series-based rate-QS model and a scene-change aware rate-QS model to determine quantization parameters for general intra frames and scene-change frames, respectively. Simulation results show that compared to competed approaches, the proposed method achieves better and stable quality with low buffer fullness.