基于状态空间法的DC-DC变换器的统一建模研究

Research for Unified Modeling of DC-DC Converter Base on Average State Space Method

针对直流变换器这样一个时变的、非线性的动态系统,在低频、小纹波和小信号假设下,引入开关周期平均算子,利用状态空间平均法和欧拉公式,推导了其统一数学模型。并以Buck变换器为例,应用此方法建立了其数学模型,并按照其数学模型组建了闭环控制系统,实验结果表明数学模型具有一定的合理性。

For the dynamic system of time-variant、nonlinear DC-DC converter, under the assumption conditions of low-frequency small ripple wave and small signal , the cycle switch average operator is introduced . The unified mathematical models are set up with average state space method and euler formula. As the case of Buck DC-DC converter, Its mathematical models are set up with the approach .The closed control system is built with mathematical models. The experimental results show the models are rationality.