The ripples of dc input voltage belong to cascaded systems are usually close to the sinusoidal voltage, and its stability is quite different from that of dc constant voltage converters. Under the premise of no loss of generality, this article takes the output voltage of front-end converter in a cascaded system as sine wave, discusses the principle of closed-loop switching converters driven by sinusoidal input voltage, and calculates the average value of fixed-point state variables by using a discrete-time mathematical model. In addition, Filippov method is adopted to predict bifurcation by calculating the eigenvalues of Monodromy matrix belonging to the whole system, and the mechanism of nonlinear phenomena is also addressed. The results show that bifurcation points change obviously under different input conditions. Moreover, the influence of sinusoidal ripples amplitude and phase shift on bifurcation behavior is discussed, the compensation technique is used to prevent bifurcation and obtain the extended stability region of the circuit parameters. The experimental results prove the validity of the analysis.

中文翻译：

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周期性输入电压控制降压转换器的稳定性分析

属于级联系统的直流输入电压的纹波通常接近于正弦电压，其稳定性与直流恒压转换器有较大差异。本文在不失一般性的前提下，以级联系统前端变换器的输出电压为正弦波，讨论了由正弦输入电压驱动的闭环开关变换器的原理，并计算了固定-点状态变量通过使用离散时间数学模型。此外，采用Filippov方法通过计算属于整个系统的Mondromy矩阵的特征值来预测分岔，并解决了非线性现象的机制。结果表明，在不同输入条件下，分岔点变化明显。而且，讨论了正弦纹波幅度和相移对分岔行为的影响，采用补偿技术防止分岔，获得电路参数的扩展稳定区。实验结果证明了分析的有效性。