Fast steady-state solution of the induction machine following disturbance conditions

This contribution describes and applies a Newton method based on a Numerical Differentiation (ND) process for the fast periodic steady-state solution in the time domain of an induction machine following disturbance conditions. A state-space model of the induction machine in the arbitrary two-axis reference frame (dq frame) is used to represent its dynamic behavior. The efficiency of the methodology is compared against the solution obtained with the conventional Brute Force (BF) procedure. The ND process is applied during the simulation of the induction machine start-up and after a solid three-phase fault has been applied at the induction machine terminals.