基于共模电感的RLC电路非线性动力学研究  

Nonlinear dynamics of RLC circuit with common mode choke

作　　者：苏籍 白在桥[1] SU Ji;BAI Zai-qiao(Department of Physics,Beijing Normal University,Beijing 100875,China)

机构地区：[1]北京师范大学物理学系,北京100875

出　　处：《物理实验》2022年第11期13-19,共7页Physics Experimentation

摘　　要：基于共模电感搭建了非线性RLC电路,该电路的非线性来自共模电感的饱和与磁滞特性.通过调节驱动信号的幅度或频率,电路表现出倍周期分岔、阵发、激变和多吸引子共存等丰富的动力学现象.建立了简化的共模电感模型,发现忽略共模电感的磁滞,该电路可以用含周期驱动项的二阶常微分方程描述.数值模拟仿真结果表明:基于该简化模型,可以复现绝大部分实验现象.A nonlinear RLC circuit with a common mode choke was proposed,the nonlinearity of the circuit stems was caused by the saturation and hysteresis effects of the choke material.Abundant dynamic behavior such as period doubling,intermittent,crisis and coexistence of multiple attractors could be observed in this circuit by scanning the driven amplitude or frequency.A simplified common mode choke model was established,through which the circuit could be modeled by a second order ordinary differential equation with a periodically driven term if the hysteresis effect was ignored.Numerical simulations showed that the simplified model could produce most experimentally observed dynamical behaviors.

关 键 词：RLC电路 共模电感 非线性动力学 

分 类 号：O415[理学—理论物理] TM132[理学—物理]