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Estimation of Stability of Dynamic Systems Containing Inertial Links

2 Abstract: Development of auto-oscillations may occur in the dynamic systems containing frictional contact. For research purposes, a model of locomotive traction drive in wheelslip mode is considered here as an example of such system. This paper proposes an estimation method for dynamic system stability in relation to frictional auto-oscillations. The method is based on the balance of power input into the system and dissipated with auto-oscillations. This method makes it possible to determine the system parameters whereby the system remains on stability boundary. It is demonstrated how the said method can be applied for estimation of stability of system containing aperiodic links. The auto-oscillations caused by electromagnetic characteristics of the traction electric motor are examined therein. It is also shown that system stability depends on time response of the electrical machine. And where the loss in stability can be either aperiodic or accompanied by auto-oscillations. Time response values of the electrical machine, with which the system maintains its stability, are determined within this research.