Prediction of Subharmonic Oscillation in Switching Converters Under Different Control Strategies
Prediction of Subharmonic Oscillation in Switching Converters Under Different Control Strategies
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不同控制策略下开关变换器次谐波振荡的预测
DOI：
10.1109/tcsii.2011.2180097
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
A. E. Aroudi
中科院分区：
文献类型：
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作者：
A. E. Aroudi
亚谐波振荡是开关变换器中不希望出现的现象。在以往的研究中，其预测主要是通过显式导出离散时间模型，然后在工作点附近进行线性化来解决。然而，从这种方法得到的结果不能应用于设计目的，除了简单的情况，如峰或谷电流模式控制（CMC）。或者，在本文中，通过使用统一的形式符号方法来分析这种现象，该方法可以应用于不同的控制策略。该方法是基于用傅立叶级数来表示次谐波振荡发生的条件，然后将结果转换成明确依赖于系统参数的矩阵形式表达式，使结果直接适用于设计目的。在有关这些参数的某些实际条件下，矩阵形式的表达式可以用标准的多项式函数根据工作占空比来近似。本文给出的结果清楚地推广了众所周知的峰谷复合介质的稳定性条件。
Subharmonic oscillation is an undesired phenomenon in switching converters. In past studies, its prediction has been mainly tackled by explicitly deriving a discrete-time model and then linearizing it in the vicinity of the operating point. However, the results obtained from such an approach cannot be applied for design purpose except for simple cases such as peak or valley current-mode control (CMC). Alternatively, in this brief, this phenomenon is analyzed by using a unified formal symbolic approach that can be applied for different control strategies. This approach is based on expressing the condition for subharmonic oscillation occurrence using Fourier series and then converting the result into a matrix-form expression that explicitly depends on the system parameters, making the results directly applicable for design purpose. Under certain practical conditions concerning these parameters, the matrix-form expression can be approximated by standard polynomial functions depending on the operating duty cycle. The results presented in this work clearly generalize the well-known stability condition of peak/valley CMC.