Abstract
The paper presents the results of the study of the transient modes of a high-speed rotor with formally six degree of freedom, driven by an electric motor-generator during transition trough the resonance. Based on the Newton-Euler equation, the differential equations of motion are derived, and the frequency spectrum of the considered electro-mechanical system is determined. The following cases are considered: - transition trough resonance with unlimited (ideal energy source) and limited excitation by the motor; unstable frequency zones; phase trajectories and the influence of the electro-magnetic constant of the motor on the stability. The analysis of the stationary and nonstationary processes was carried out using the asymptotic method of Bogoliybov-Mitropolski. The stability of vibrations are determined by numerical solution of the equations in variations of the equilibrium states. These transitions are of great importance for the recently widespread so-called uninterruptible power sources (UP), as well as the kinetic energy recovery system (KERS ) used as additional propulsion energy .
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