基于状态空间重构法的永磁同步电机的混沌分析

Analysis of chaotic phenomenon in permanent-magnet synchronous motors based on reconstruction of phase-space

利用状态空间重构法重构了永磁同步电机 (PMSM)的状态空间 ,分析了永磁同步电机的混沌现象 ,并与原状态空间图形进行了比较 ,可以看出重构的状态空间图形与原来的状态空间图形有着相同的拓朴结构和概率特征 ;其重要意义还在于对PMSM的实验中 ,在某些状态变量无法实验测得的情况下 ,可以用状态空间重构的方法 ,通过测量PMSM的某一状态变量来重构系统的状态空间来研究系统的动力学行为 。

The phase-space of permanent-magnet synchronous motor(PMSM) is reconstructed with the method of reconstruction, and the chaotic phenomenon in PMSM is analyzed. Comparing the reconstructed phase-space of PMSM with the original one, it can be seen that they have similar topological structures and probability features. If the dynamical equations describing the system are not known, only one state needs to be measured for reconstructing the phase-space of the system, and then the dynamics of the system can be studied. [