In-Depth Analysis of Smooth and Nonsmooth Bifurcations for an Open-Loop Boost Converter Feeding Constant Power Loads in Discontinuous Conduction Mode

L. Benadero, A. E. Aroudi, L. Martínez-Salamero, C. Tse
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Abstract

This paper presents a study of the existence conditions of limit cycles and mechanisms when losing their stability in an open-loop DC–DC boost converter loaded with a constant power load and operating in discontinuous conduction mode. First, the existence conditions are determined. Then, boundaries associated with different kinds of instabilities such as the classical smooth fold and period-doubling bifurcations and nonsmooth border-collision bifurcations such as fold border-collision bifurcations are elucidated. To perform the stability analysis, an implicit 1D map for the system is derived. From this model, it is obtained that smooth period-doubling and fold bifurcations may occur at certain values of the circuit parameters. Some results from numerical simulations performed on the circuit-based switched model are provided showing consistency with the theoretical analysis from the derived model.
非连续导通模式下恒功率负载的开环升压变换器光滑和非光滑分岔的深入分析
本文研究了恒定功率负载下工作在断续导通模式下的开环DC-DC升压变换器极限环失稳的存在条件和机制。首先,确定存在条件。然后,对不同不稳定性的边界(如经典光滑褶皱和倍周期分岔)和非光滑边界碰撞分岔(如褶皱边界碰撞分岔)进行了阐述。为了进行稳定性分析,推导了系统的隐式一维映射。从该模型中可以得到在电路参数的一定值处可能出现平滑倍周期分岔和折岔。对基于电路的开关模型进行了数值模拟,结果与推导模型的理论分析结果一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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