ABSTRACT
Many problems exist in which the rotor speed can no longer be assumed as constant. The presence of the rotor speed dependant voltage term in Park’s equations and the torque equations results in a non-linear set of differential equation to be solved. Transfer function outputs are defined by setting up the appropriate measurement equation. The time domain response can be determined by examining the poles and residues resulting from the partial fraction expansion of the transfer function. Transfer functions for a wide variety of inputs and outputs can be obtained in a similar manner. Transfer functions are also an important tool for design of feedback control loops. Increasing gain to values greater than 30 continues to improve the response but with a continuing decrease in damping. Transients constitute a key issue in the study of synchronous machines since it is during these relatively brief instants that catastrophic failures generally occur.
