Hopf Bifurcation of Permanent-Magnet Synchronous Motor Chaos System

In the paper, by means of a simple explicit criterion, Hopf bifurcation of the permanent-magnet synchronous motors(PMSM) system is studied. The basic dynamic properties of PMSM chaotic system are analyzed by the ways of nonlinear dynamic theory such as Lyapunov exponents, bifurcation diagram, phase diagram. In addition, the system is studied also by the smaller Alignment Index (SALI) method and the fast Lyapunov indictor (FLI) method in order to find a control parameter which is threshold between ordered and chaotic orbits.

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