Mathematical models of electrical machines
Development of adequate electromechanical models of synchronous electrical machines is done. For the definition and estimation of the limiting load of a synchronous machine, for which there is preserved the operational integrity of an electric motor by means of its capture in synchronism with a frequency of rotating magnetic field, the modern mathematical technique for investigation of differential equations with angular coordinates is developed. This technique involves the modified method for the construction of the special Lyapunov functions, the global bifurcation analysis, different methods of qualitative theory of dynamical systems. A special transformation method is developed which permits us to reduce the problem of investigation of the global stability of multidimensional dynamical system to the special differential equation of second order.