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With the fast development of the power systems, the expanding of the power system is bigger, and users have the higher requirements of the electric quality, so researches and developments in electric power systems analysis has been an area of significant activity for decades. The robustness of a power system is measured by the ability of the system to operate in a state of equilibrium under normal and perturbed conditions. Stability of the power system deals with the study of the behavior of power systems under conditions. The scale of power system is big, so we usually divide it into parts. We can analyze the subsystem through the main features. Among them, the generate electricity systems and the transmission system are very important. In this paper, we make use of differential coefficient to analyze the generator and the transmission factors in power systems.