2025-03-28https://repository.covenantuniversity.edu.ng/handle/123456789/35744Investigation of the dynamic performance of a synchronous generator connected to an infinite bus (SMIB) system is carried out in this paper. The generator is equipped with a nonlinear excitation control law based on the concepts of geometric homogeneity and feedback linearization. A new positive parameter, called the dilation gain, is introduced in the control law for improved damping of oscillations and better dynamic performance. Two models of the system are employed for the study, and a disturbance in form of a network fault with varied durations is applied to test the performance of the system. Simulation results as well as MATLAB® code for testing for exact linearization of an affine nonlinear system are provided.application/pdfT Technology (General), TK Electrical engineering. Electronics Nuclear engineeringArticle