图腾柱PFC广义状态空间模型与仿真分析

Generalized State Space Model and Simulation Analysis of Totem PFC

电力电子变换器的开关过程引起非常严重的非线性问题,可以采用开关模型、采样数据模型、滑动平均模型、小信号模型和行为模型等分析,其中小信号模型包括状态空间平均模型、能量平衡的平均模型和广义状态空间平均模型(GSSA),通过这种数学建模能够表征和简化电力电子变换器的动力学特性,得到近似的线性化系统。文中采用二阶近似逼近的傅里叶级数对图腾柱PFC进行GSSA建模和MATLAB/Simulink仿真分析,并与状态空间平均模型和开关模型进行比较,发现采用二阶近似逼近的傅里叶级数可以建立更加精确地表征电力电子变换器的动力学特性。

The switching process of power electronic converter causes serious nonlinear problems,which can be analyzed by switching model,sampling data model,moving average model,small signal model and behavior model.The small signal model includes state space average model,energy balance average model and generalized state space average model(GsSA).Through this mathematical modeling,the dynamic characteristics of power electronic converter can be characterized and simplified,and the approximate linearized system can be obtained.In this paper,with respect to totem PFC,the second-order approximate Fourier series is used for GSSA modeling and simulation analysis by means of MATLAB/Simulink,and compared with the state space average model and switching model.It is found that the second-order approximate Fourier series can more accurately characterize the dynamic characteristics of power electronic converter.