永磁同步电机混沌系统的分析及电路实现  

Analysis and circuit simulation of permanent-magnet synchronous motors chaos system

作　　者：黄国庆[1,2] 王洪[2] 辛勇[2] 

机构地区：[1]南昌大学建筑工程学院,江西南昌330031 [2]南昌大学理学院,江西南昌330031

出　　处：《南昌大学学报（理科版）》2012年第6期528-531,共4页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(致密天体轨道动力学与引力波11173012)

摘　　要：利用理论推导和数值仿真对永磁同步电机系统的基本动力学特性进行了讨论。借助Poincaré截面、功率谱、Lyapunov指数、快速Lyapunov指标和较小排列指标等判定轨道混沌性质的方法,分析了参数变化对动力学行为的影响,即调节参数可使永磁同步电机系统产生混沌或拟周期现象。同时运用Multisim软件设计了混沌电路,并从电路实验中观察到了混沌吸引子,证实了电路实验结果与数值仿真完全相符。Dynamic properties of a Permanent-magnet Synchronous Motors system are discussed by a theo-retical analysis and numerical simulations. Poincaré section, Power Spectrum, Lyapunov exponent, Fast Lyapunov Indicators and the Smaller Alignment Index,as methods for distinguishing chaos from order,are used to study the dependence of the dynamic transitivity on the variational parameter. That is to say, this system shows chaotic or quasi-periodic orbits by adjusting it＇s coefficient. Simultaneously, a chaotic elec- tronic circuit is designed with help of Multisim software. Attractors and chaotic behaviors of this system can be seen from the circuit experiments. It is shown that both the numerical results and the experimental ones are consistent.

关 键 词：POINCARÉ截面 功率谱 快速Lyapunov指标 较小排列 混沌电路 

分 类 号：O415.5[理学—理论物理]