研究了电流控制型Boost变换器的分叉行为,建立了符合实际电路限定条件下的离散迭代映射模型,采用分叉图和庞加莱截面,分析了电路参数对分叉行为的影响,并对产生切分叉和阵发混沌现象的电路参数进行了讨论。通过构造Matlab下的分段光滑开关模型,采用龙格-库塔(Runge-Kutta)算法,得到了Boost变换器的时域波形和相轨图,从而验证了离散迭代映射模型的正确性:研究结果表明电流控制型Boost变换器具有丰富的非线性动力学行为。
This paper studies the bifurcation behaviors of current control boost converter. In this study, the discrete iterated mapping model of current control boost converter with practical circuit parameters is established. By using bifurcation diagrams and Poincare sections, the effects of circuit parameters on bifurcation behaviors are analyzed. Those circuit parameters which may cause tangent bifurcations and intermittent chaos are discussed. The time-domain waveforms and phase orbits of boost converter have been obtained by Runge-Kutta algortithm through piecewise smooth switching models constructed under Matlab, which verify the discrete iterated mapping model. The research results indicate that the nonlinear dynamical behaviors of current control boost converter are abundant.