Abstract

The stability analysis of induction motor normally uses conventional steady state torque-speed characteristics. Study of stability during transient conditions is rather rare in literature. Rigorous analysis for stability based on full nonlinear dynamical model is lacking. For this purpose, stability analysis using the Lyapunov’s theorem is essentially required. Global asymptotic stability for induction motor drive using Lyapunov criteria is analyzed using the full nonlinear dynamical model. The transient model is considered in stationary α-β reference frame about steady state operating point. Equations are derived for energy and power balance. The equations can be used to obtain an appropriate candidate for Lyapunov function for stability analysis. Global asymptotic stability condition in the sense of Lyapunov is derived at any possible speed, with load and without load, with variations in parameters and frequency. These generalized conditions of stability for any operating speed, load, frequency and parameters with a case study for confirmation are the outcomes.

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