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Because it is almost impossible to train the dispatchers with real power system, the dispatcher training simulator (DTS) is used for the training. Among various components of the DTS, the power system model (PSM) emulates the dynamic behavior of the power system to calculate the frequency and voltage. In the PSM, the power plants are modeled as differential equations, so the mechanical power of the power plants is calculated by the numerical methods. Conventionally, the fixed step-size algorithm has been used in the PSM, however it has some drawbacks. This paper develops the prototype PSM using the Matlab, and analyzes the problems of the fixed step-size algorithm by comparing the results with those of PSCAD simulation considered as a real system. In order to overcome the limitations, the adaptive step size method for the PSM is proposed by modifying the general adaptive step size method. From the simulation using the proposed method, it is verified that the accuracy of the PSM is increased.