电流控制二次型Boost变换器的动力学研究

Dynamics of current controlled quadratic boost converters

通过对二次型Boost变换器开关状态的完整描述,推导了两个电感电流边界,建立了电流控制二次型Boost变换器的分段光滑迭代映射模型.对比分析了以输入电感电流或储能电感电流作为电流反馈量的非线性分岔行为.通过稳定性和工作模式分析,得到了电流控制二次型Boost变换器从稳定的周期1工作状态到次谐波振荡状态转移以及从电感电流不连续导电模式到连续导电模式转移的条件,并采用参数空间映射图,对二次型Boost变换器的工作状态域进行了估计.设计了实验电路,由实验结果证明了不同的参数变化有着不同的分岔路由,存在工作模式转移现象,电流控制二次型Boost变换器呈现复杂的动力学行为,实验结果验证了理论分析的正确性.

The two inductor current boundaries are derived, and segmented smooth iteration mapping model of current controlled quadratic boost converter is established based on the detailed description of switching states. The comparative analyses of the nonlinear bifurcation behaviors are performed with input inductor current and the storage inductor current as current feedback respectively. Two boundary conditions for the transition from stable period-one state to sub-harmonic oscillation state and for the transition from discontinuous conduction mode to continuous conduction mode are derived by analyzing stability and operation mode. The operation-state regions corresponding to circuit parameter regions are estimated by utilizing the parameter-space maps. An experimental circuit is built and the results show that both different bifurcation routes and operation mode transition phenomenon are changed with parameter variation, the current Controlled quadratic boost converter exhibits complicated dynamical behaviors. The experimental results verify the correctness of the theoretical analysis.