Bifurcation Analysis of PWM-1 Voltage-Mode-Controlled Buck Converter Using the Exact Discrete Model
Bifurcation Analysis of PWM-1 Voltage-Mode-Controlled Buck Converter Using the Exact Discrete Model
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DOI：
10.1109/tcsi.2007.895526
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发表时间：
2007-05
期刊：
影响因子：
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通讯作者：
S. Maity;Divyendu Tripathy;T. K. Bhattacharya;S. Banerjee
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文献类型：
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作者：
S. Maity;Divyendu Tripathy;T. K. Bhattacharya;S. Banerjee
电力电子电路中的非线性现象通常通过离散时间映射来研究。然而，存在非常少的电路配置（例如，电流模式控制的DC-DC转换器或电流编程H桥逆变器），其映射可以以封闭形式获得。在本文中，我们表明，在一个电压模式控制的DC-DC转换器，如果开关是由第一类（PWM-1）的脉冲宽度调制，可以得到一个明确的形式的频闪映射。所得到的离散时间状态空间是分段光滑的，分为五个区域，每个区域具有不同的函数形式。然后，我们分析的分岔行为，使用显式映射，并展示了不同类型的边界碰撞分岔，可能会发生在这个系统作为一个固定点从一个区域移动到另一个。这包括非常有趣的情况下，从周期性的直接过渡到准周期性通过边界碰撞分叉的路线。在一定的参数范围内，也得到了锁模周期窗口。给出了两参数分岔图，显示了系统参数平面内不同振荡模式的存在区域
Nonlinear phenomena in power electronic circuits are generally studied through discrete-time maps. However, there exist very few circuit configurations (like, for example, the current-mode-controlled dc-dc converters or current programmed H-bridge inverter) for which the map can be obtained in closed form. In this paper, we show that, in a voltage-mode-controlled dc-dc converter, if the switching is governed by pulse-width modulation of the first kind (PWM-1), an explicit form of the stroboscopic map can be obtained. The resulting discrete-time state space is piecewise smooth, divided into five regions, each with a different functional form. We then analyze the bifurcation behavior using the explicit map and demonstrate the different types of border collision bifurcations that may occur in this system as a fixed point moves from one region to another. This includes the very interesting case of a direct transition from periodicity to quasi-periodicity through the route of border collision bifurcation. Mode-locking periodic windows are also obtained at certain ranges of the parameters. The two-parameter bifurcation diagram is presented, showing the domains of existence of different oscillatory modes in the system parameter plane