In this paper, an advanced excitation control scheme based on the nonlinear partial feedback linearization technique is proposed to design an excitation controller for a synchronous generator in a single machine infinite bus (SMIB) system based on the seventh-order dynamical model. The proposed partial feedback linearizing scheme is applied for simplifying and linearizing this detailed dynamical model of synchronous generators in an SMIB system using nonlinear coordinate transformations that cancel nonlinearities within the system. A linear state feedback controller is then used to design for the partial feedback linearized synchronous generators. The final excitation control law include nonlinear terms and the linear state feedback control law where these nonlinear terms appear from nonlinear coordinate transformations that cancel nonlinearities for making the partial feedback linearized SMIB system independent of operating conditions. The stability of dynamics that do not transform during the feedback linearization process is also analyzed in this paper. Finally, simulation studies are carried out to evaluate the performance of the controller by applying the most severe three-phase short-circuit fault at the terminal of the synchronous generator as well as at the middle of a transmission line and results are compared with a traditional power system stabilizer (PSS).