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基于最大Lyapunov指数的无刷双馈电机混沌现象分析
Analysis of Chaos in Brushless Doubly-Fed Machine Base on the Maximal Lyapunov Exponent
【摘要】 从混沌机理研究角度,采用数值仿真方法计算最大Lyapunov指数,分析并验证了无刷双馈电机中存在的混沌现象。基于无刷双馈电机d-q轴数学模型,导出非线性微分方程;以转子运动时间常数的倒数为电机系统的控制参量,根据实际电机参数构建无刷双馈电机的混沌模型;通过计算混沌模型的最大Lyapunov指数,分析电机出现混沌现象时所对应的参数范围。采用MATLAB建模仿真,论证了无刷双馈电机进入混沌运动状态时的参数条件。
【Abstract】 The chaos phenomenon in the brushless doubly-fed machine( BDFM) was firstly analyzed and verified by calculating the maximal Lyapunov exponent with the numerical simulation method from the point of view of chaos mechanism. The nonlinear differential equations of BDFM were derived based on its d-q axis model. The chaos model of BDFM was constructed according to the actual machine parameters with regarding the reciprocal of rotor time constant as control parameter. The range of parameters was analyzed when the chaotic phenomenon emerged in BDFM by computing the maximal Lyapunov exponent of the chaos model. In Matlab environment,the parametric condition can be demonstrated as BDFM turn into chaotic motion state.
【Key words】 brushless doubly-fed machine; chaos; the numerical simulation method; the maximal Lyapunov exponent; chaotic attractor;
- 【文献出处】 电机与控制应用 ,Electric Machines & Control Application , 编辑部邮箱 ,2016年05期
- 【分类号】TM341
- 【被引频次】9
- 【下载频次】156