Chaos Characteristics and Control of Permanent Magnet Synchronous Motors

Abstract

The permanent magnet synchronous motor (PMSM), a nonlinear dynamic system, can exhibit prominent chaotic characteristics under some choices of system parameters and external inputs. Based on a mathematical model of the permanent magnet synchronous motor, the existence of chaotic attractor is verified by the phase trajectory, Lyapunov exponent map and the bifurcation diagram. Chaotic phenomenon, such as a strong oscillation of speed and torque, unstable operating performance, affects the normal operation of motor. It makes the PMSM in a stable state to control chaos of the PMSM with a control strategy of infinitesimal geometry, which can eliminate chaos well.

Determination methodology for stable control domain of electric powertrain based on permanent magnet synchronous motor

“…Huang and Wu 2 analyzed the basic dynamics of PMSM by applying nonlinear dynamic theory such as Lyapunov exponents, bifurcation diagram, and phase diagram, and the mathematical model of PMSM has been confirmed to exhibit prominent chaotic characteristics under certain parameters and working conditions. 3 Jing et al 4 analyzed the dynamics of PMSM extended to the PMSM model with a non-smooth-air-gap and studied the stability, the number of equilibrium points, and the pitchfork and Hopf bifurcations. Analytical stability boundary were given by solving the local quadratic approximation of the two-dimensional (2D) stable manifold at an second-order saddle point.…”