基于电流模式开关电感Boost变换器中分叉与混沌的研究

Research on Bifurcation and Chaos in Inductance Boost Converter Based on Current Mode Switching

研究了将开关电感嵌入到传统电流模式下Boost变换器中的工作原理,根据电路中基尔霍夫电流和基尔霍夫电压定律建立了开关电感Boost变换器的状态方程。根据闪频映射对变量取样,推导出连续电流模式下的离散迭代映射模型,采用MATLAB软件中的M文件对其编程仿真,从而得到变换器的庞加莱映射、分叉图以及输出电压的离散值;利用状态平均法建立了开关电感Boost变换器的电路仿真模型,并在MATLAB的simulink中得到其输出的时域图。仿真结果证明,连续电流模式下开关电感Boost变换器中微小参数变化可使系统发生紊乱现象,因此研究其中的非线性现象可为工程实践设计提供理论支持。

In this paper,the working principle of embedding the switching inductor into the Boost converter in the traditional current mode is studied.The state equation of the switching inductor Boost converter is established according to the Kirchhoff current and Kirchhoff voltage law in the circuit.The variable is sampled according to the flash frequency mapping,and the discrete iterative mapping model in continuous current mode is derived.The M file in MATLAB software is used to simulate and simulate the Poincare map,bifurcation diagram and output voltage dispersion.The circuit simulation model of the switching inductor Boost converter is established by the state average method,and the time domain diagram of the output is obtained in the simulink of MATLAB.According to these simulation results,it is proved that the small parameter variation in the switched inductor Boost converter in continuous current mode can cause the system to be turbulent.Therefore,the non-linear phenomena are studied to provide theoretical support for engineering practice design.