Simulation of Hunting Transients and Goodness Factor Effects in Synchronous and Linear Induction Machines Using MATLAB Live Animation

This paper presents two complementary MATLAB-based simulation studies that demonstrate phenomena in synchronous and linear electric machines which cannot be safely or practically reproduced in a conventional teaching laboratory. The first study simulates hunting oscillations in a synchronous motor following a sudden load step, comparing rotor angle and speed deviation transients with and without a damper winding using numerical integration of the classical swing equation. Without a damper winding, the rotor angle oscillates indefinitely at 6.2 rad/s speed deviation. With a damper winding (damping coefficient D = 8.0 pu), oscillations decay to within 2% of the new equilibrium within 1.5 s. The second study demonstrates the role of the goodness factor G in a Linear Induction Motor (LIM) via an interactive MATLAB slider interface: varying G from 0.5 to 10 reshapes the thrust-speed curve in real time, shifting the peak thrust point from standstill toward synchronous speed and raising the efficiency ceiling from 20% to 98%. All results are validated against closed-form analytical expressions. A live rotor phasor animation and real-time interactive visualisation are presented as pedagogically effective tools for concepts inaccessible through physical experimentation.