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STATCOM is one of the most significant devices in FACTS technology which is used in parallel compensation, enhancing the transient stability, limiting the low frequency oscillations and etc. designing a proper controller is effective in operation of STATCOM. In this paper the equations that describe the proposed system have been linearized and then the fuzzy logic controller has been designed for power System stabilizer. Damping the transients of the synchronous generator is the aim of designing of fuzzy logic controller whether the input power of generator has been changed suddenly. The fuzzy logic controller performance in a SMIB system is also examined using simulation studies and the results validate the efficiency of the proposed controller.