Stability and Oscillations of Electrical Machines of Alternating Current

An induction machine with the squirrel cage rotor and a synchronous machine with the four-pole rotor are considered and the new mathematical models of these machines are developed. The analysis of steady-state and dynamic stability of the systems, describing the electrical machines, is performed. The limit load problem is discussed and analytical and numerical estimations of the limit load for considered electrical machines are obtained by the equal-area method and the non-local reduction method. In the case of second method improved estimates of the limit load in comparison to the estimates, obtained by the equal-area criterion, are found.