Nonlinear Dynamics Analysis And Control On Permanent Magnet Synchronous Motor's Moving Characteristic

Because of the permanent magnet synchronous motor's high torque/inertia, high velocity/load and high starting torque, saving electricity and moving reliably, it becomes a hot spot in alternating current drive system.The permanent magnet synchronous motor (PMSM) has behavior chaos with some parameters or under certain working conditions which threaten the secure and stable operation of motor drive and destroy the motor, hence, it is important to study the method of controlling or suppressing chaos in PMSM.We analysis the stability of PMSM's fixed points by studying the Lyapunov exponents, and the bifurcation of PMSM, and then make certain that with the parameters (σ=3,γ=28) it has behavior chaos. We study PMSM by the means of computing the time series, attractors, power spectrum density, correlation dimension, maximal Lyapunov exponent to confirm the judgment.We designed a negative feedback controller and a conditioned negative feedback controller based on it to eliminate chaos in PMSM. The latter merit is that it can make the system approach original unstable equilibrium points, and may make the current of d axis immovable when the control variable changes, so it is significant in projects.We designed a proportional differential coefficient controller to eliminate chaos in PMSM, because this method only needs a single state variable to carry on the feedback to the system's partial equation in order to realize the chaos's control, it overcomes the flaw that the present state variable feedback controller needs many variables to carry on the overall feedback, therefore this method is extremely easy in the project to realize and has higher application valueWe use a adscititious periodic signal to control the system's chaos, the non- feedback control method's mechanism is that in the adscititious periodic signal resonates with the original chaos system's some periodic orbit produces resonates in order to enable the original system to achieve stabilization. Because the non- feedback control's merit is that the control signal can not be influenced by system variable's change and periodic signal is easy to produce and adjust, this method have high value in maintaining the system's secure operation.