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Transient characteristics during gear ratio change including the disturbance of output torque have been important issues in the study of passenger car automatic transmission. In this paper, to investigate the transient characteristics during gear ratio change, a detailed dynamic model of the power transmission system of a passenger car focused on the automatic transmission was proposed and the governing dynamic equations were derived and solved. The results of simulation showed good agreements with the experimental data. It was proved that the suggested dynamic model is very useful to analyze the phenomena occurred during the speed ratio change.