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arXiv 1202.4534eess.SYcs.SYmath.DSnlin.CD
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恒定导通时间控制下开关DC-DC变换器的分岔边界条件

Bifurcation Boundary Conditions for Switching DC-DC Converters Under Constant On-Time Control

Advanced Analog Technology(先进模拟科技)

Chung-Chieh Fang

AI总结:

本文通过采样数据分析和谐波平衡分析,推导了恒定导通时间控制下开关DC-DC变换器的倍周期分岔和鞍结分岔的设计导向边界条件,并给出了避免分岔所需的斜坡斜率及与斜坡相关的极点位置,所提边界条件比现有结果更通用和准确。

摘要:

采用采样数据分析和谐波平衡分析来研究恒定导通时间控制下的开关DC-DC变换器。推导了倍周期分岔和鞍结分岔的设计导向边界条件。还推导了避免分岔所需的斜坡斜率以及与斜坡相关的指定极点位置。所推导的边界条件比最近获得的边界条件更通用和准确。在本文提出的通用建模方法下,最近获得的边界条件成为特例。不同的分析提供了对系统动力学的不同视角,并相互补充。在采样数据分析下,边界条件用信号斜率和斜坡斜率表示。在谐波平衡分析下,边界条件用信号谐波表示。所推导的边界条件有助于设计者设计变换器以避免倍周期分岔和鞍结分岔的发生。

英文摘要:

Sampled-data analysis and harmonic balance analysis are applied to analyze switching DC-DC converters under constant on-time control. Design-oriented boundary conditions for the period-doubling bifurcation and the saddle-node bifurcation are derived. The required ramp slope to avoid the bifurcations and the assigned pole locations associated with the ramp are also derived. The derived boundary conditions are more general and accurate than those recently obtained. Those recently obtained boundary conditions become special cases under the general modeling approach presented in this paper. Different analyses give different perspectives on the system dynamics and complement each other. Under the sampled-data analysis, the boundary conditions are expressed in terms of signal slopes and the ramp slope. Under the harmonic balance analysis, the boundary conditions are expressed in terms of signal harmonics. The derived boundary conditions are useful for a designer to design a converter to avoid the occurrence of the period-doubling bifurcation and the saddle-node bifurcation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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