Dynamics analysis of fractional-order permanent magnet synchronous motor and its DSP implementation

Abstract

In this paper, dynamics of the fractional-order permanent magnet synchronous motor (FOPMSM) model is investigated. The numerical solution of the FOPMSM system is derived based on Adomian decomposition method (ADM) that is a computationally efficient and high accurate method, and its dynamical behaviors are observed by means of phase diagrams, bifurcation diagrams, Lyapunov exponent spectra (LEs), Poincaré section and chaos diagram based on spectral entropy (SE) complexity. Comparison with some reported studies, the simulation results show that it has more rich dynamical characteristics. The lowest order for the existence of chaos is 2.115 that demonstrated by 0–1 test, which is lower than that existing result (2.85). Finally, the FOPMSM system is implemented by digital signal processor (DSP), which verifies the correctness of the solution algorithm and the physical feasibility of this system. It indicates that the FOPMSM system has broad application prospect.