A new study of the Buck converter controlled by a smooth signal -changing the widely used non-smooth ramp signal by a smooth sine signal- operating in continuous conduction mode (CCM) is carried out in this paper, focusing on the analysis of bifurcation diagrams of relevant parameters that govern the system. Unexpectedly and contrary to what one would intuitively contemplate, new phenomena or complex dynamics of the non-smooth nature appear. Mainly border collisions and other non-smooth bifurcations are the main causes of the chaotic attractors and complex behaviors' emergence, even though the signal that controls the system is smooth. More importantly, a cascade of border collision bifurcations was discovered in the Buck converter controlled by a sine waveform, a kind of non-sooth bifurcation only reported in specific type of power inverters

中文翻译：

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DC-DC 降压转换器中复杂行为的仿真和分析


本文对平滑信号控制的Buck转换器进行了一项新的研究——用平滑正弦信号改变广泛使用的非平滑斜坡信号——工作在连续导通模式(CCM)，重点分析分岔图控制系统的相关参数。出乎意料地，与人们的直觉想象相反，非光滑性质的新现象或复杂动态出现了。尽管控制系统的信号是光滑的，但主要是边界碰撞和其他非光滑分叉是混沌吸引子和复杂行为出现的主要原因。更重要的是，在正弦波形控制的Buck转换器中发现了一系列边界碰撞分岔，这是一种仅在特定类型的功率逆变器中报告的非平滑分岔