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单周期控制DC/DC变换器稳定性分析

         

摘要

单周期控制变换器具有在一个周期内消除输入扰动的优点,在工程中常用小信号模型进行分析和设计.在此首先指出常用小信号模型的不足;其次用Filippov方法得到单周期控制Buck变换器一个完整周期内的状态转移矩阵并对其进行分析.可知当参考电压小于输入电压时,在任何电路参数情况下,单周期控制Buck变换器都处于稳定运行状态.对单周期控制Boost变换器的研究结果表明,该变换器可以工作在稳定运行状态,也可工作在低频振荡状态.最后分析了参考电压和负载电阻对稳定性的影响.%One-cycle controlled power converter has the ability to reject the input perturbation within one cycle. They are generally analyzed and designed using the small-signal model.The incorrect prediction of these models is pointed out.State transition matrix over a complete clock cycle is derived with Filippov method for one-cycle controlled Buck converters.The results show that one-cycle controlled Buck converter can operate with period-1 under any circuit parameters when the reference is less than the input,and that one-cycle controlled Boost converter can operate either with period-1 or with Hopf bifurcation.Dependence of stability on reference voltage and load resistor are analyzed.

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