含有单相铁芯变压器的铁磁混沌电路的分析及控制

Control and analysis of a third-order nonautonomous ferroresonance chaotic circuit with a transformer

对一个含有单相铁芯变压器的三阶非自治铁磁混沌电路进行了理论研究和计算机仿真分析.研究表明,仅含由磁通链控制的非线性电感器件的三阶非自治电路可以作为一个四阶自治改进系统来分析.数值仿真和电路实验证实了此系统确实存在混沌动力学行为.同时,还提出了一种通过改变线性电容参数控制混沌的方法.

In this paper,the chaos dynamics behavior of a third-order nonautonomous ferroresonance chaotic circuit with single phase transformer has been analyzed and simulated. We drew the conclusion that there is only a nonlinear flux-controlled inductance in this circuit,which has been investigated and simulated by using a fourth-order autonomy improved system. We confirm that the chaotic behavior exists in this circuit by computer simulation and circuit experiment. A simple method of controlling chaos is proposed by varying the linear capacitance parameters.