利用Lyapunov指数和容量维分析永磁同步电机仿真中的混沌现象

Analyzing Chaotic Phenomenon in Permanent-Magnet Synchronous Motors with Lyapunov Exponent and Capacity Dimension

给出了一种适合于一般混沌系统Lyapunov指数和容量维计算的数值算法 ,并首次应用于永磁同步电机混沌现象的分析 .在给定的几种典型运行条件下 ,计算了永磁同步电机混沌模型的Lyapunov指数和容量维 ,结果表明永磁同步电机运行呈现混沌行为 ,从而通过特征指数验证了永磁同步电机混沌现象的存在性 .

This paper proposed a numerical algorithm to compute the Lyapunov exponent and capacity dimension for nonlinear chaotic system, and first applies it to analyse the chaotic phenomena of permanent magnet synchronous motors (PMSM).Under several typical operation conditions,the Lyapunov exponents and capacity dimensions for PMSM are computed. The characteristic exponents state clearly and verify the existence of chaotic behaviors in PMSM.