Nonlinear excitation control in electrical power systems

Based on differential geometric theory, a systematic design of a nonlinear excitation controller is developed for a third order single machine infinite bus (SMIB) power system. The design approach is to transform the original nonlinear system into an equivalent linear system. Furthermore, this approach has been extended to the design of a nonlinear controller for multimachine power systems. One of the advantages of the nonlinear controller for a multimachine power system lies in the fact that the MIMO nonlinear system is decoupled under the proper state transformation. Also, the obtained nonlinear controller can be implemented via local measurements. Finally, the performance of the nonlinear controller is examined by simulation when it is used with high order power systems