A Ripple-Based Design-Oriented Approach for Predicting Fast-Scale Instability in DC–DC Switching Power Supplies
A Ripple-Based Design-Oriented Approach for Predicting Fast-Scale Instability in DC–DC Switching Power Supplies
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DOI：
10.1109/tcsi.2011.2161396
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
E. Rodriguez;A. E. Aroudi;F. Guinjoan;E. Alarcón
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文献类型：
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作者：
E. Rodriguez;A. E. Aroudi;F. Guinjoan;E. Alarcón
本文提出了一种面向设计的分析方法，用于预测电压模式控制策略下的电力电子变换器的快速尺度不稳定性。这种方法是基于使用的反馈控制电压的涟漪幅度作为预测这些系统中的次谐波振荡的指标。首先，工作重温的非线性离散时间模型的基础上的稳定性分析技术，证明涟漪幅度可以包括在该模型的雅可比矩阵的表达式，从而给出了数学支持，以扩展涟漪指数更复杂的拓扑结构。一个简单的，但代表性的降压转换器下的电压模式控制被用来说明的方法。使用基于波纹的指标，稳定性边界的封闭形式的表达式推导。与其他现有的方法获得的结果不同，稳定边界，在这项工作中表示解析的功率级和控制器的设计参数。此外，人们可以确定这些参数是如何参与的封闭形式的表达式，此外，每个参数如何影响系统的稳定性。该方法通过状态方程的数值模拟和在很宽的设计参数空间范围内的实验进行了验证。
This paper presents a design-oriented analytical approach for predicting fast-scale instability in power electronics converters under voltage-mode control strategy. This approach is based on the use of the ripple amplitude of the feedback control voltage as an index for predicting subharmonic oscillations in these systems. First, the work revisits the stability analysis technique based on the nonlinear discrete-time model, demonstrating that the ripple amplitude can be included within the expression of the Jacobian matrix of this model, hence giving a mathematical support to extend the ripple index to more complex topologies. A simple but representative buck converter under voltage-mode control is used to illustrate the approach. Using the ripple-based index, closed-form expressions of stability boundaries are derived. Unlike other available results obtained from existing methods, the stability boundary, in this work is expressed analytically in terms of both power stage and controller design parameters. Moreover, one can determine how these parameters are involved in the closed form expressions and, furthermore, how each parameter affects the stability of the system. The approach is validated by numerical simulations from the state equations and also experimentally within a wide range of the design parameter space.