Steady-state stability of a synchronous machine

Mechanical oscillations of synchronous machines following the application of sudden shaft loads are important to operating engineers. This paper presents an analytical technique to determine the stability of a synchronous machine. We first decompose the nonlinear system representing the machine into an infinite number of subsystems connected in parallel. We then determine a bound on the input to the machine for which the number of subsystems will effectively be finite in number, then determine stability of the entire system by determining the stability of each subsystem.