Research on the Influence of the Torsional Elastic Torque on Chaotic Characters of the Permanent Magnet Synchronous Motor System

摘要

The influence of the torsional elastic torque on chaotic characters of the permanent magnet synchronous motor system is studied. The state equations of the permanent magnet synchronous motor system including the torsional elastic torque, based on the d-q axis, are given. The stability of the system is analyzed by applying the Lyapunov's theorem on stability. The changes of the system's Lyapunov exponents with the torsional stiffness are investigated. Two torsional stiffnesses are selected. The time domain diagrams of the system and the system's phase diagrams in state space are given in these two cases. The system's sensitivity to the initial conditions are analyzed in these two cases, too. The results show that the permanent magnet synchronous motor system including the torsional elastic torque can be in a chaotic or hyperchaotic state under certain parameters.