含电磁式电压互感器的铁磁混沌电路的分析研究

Analysis of ferromagnetic chaotic circuit with nonlinear potential transformer

本文对实际变电站进行抽象简化,得到了一个含单相电磁式电压互感器的三阶非自治电路,由于激励是周期性的正弦函数,增加一个时间维,得到一个四阶自治电路.经过理论分析与仿真研究,结果表明该电路系统中确实存在铁磁混沌,并得出电磁式电压互感器铁芯励磁特性是影响该电路混沌动力学行为的重要因素的结论.

By simplifying a substation, a third-order non-autonomous ferromagnetic circuit with single-phase potential transformer has been obtained. Since the voltage is a sine function, by adding a time dimension to the circuit, it becomes a fourth-order autonomous circuit, and some simulation analysis is carried out on it. Studies show the existence of chaotic dynamical behavior in the circuit system, so that we can draw the conclusion that the excitation characteristic of the core has an important influence on the chaotic dynamical behavior of the circuit.