基于广义状态空间平均法单相功率因数校正的建模与仿真

Modeling and Simulation of Single Phase Power Factor Correction Based on Generalized State Space Averaging Method

功率因数校正(PFC)技术可以在解决由整流装置接入所引起的谐波污染问题上发挥重要作用。状态空间平均法已成功应用于脉宽调制功率变换器电路中;但是在开关变换器电路中有其自身的局限性。在分析升压电路(Boost)型PFC电路工作原理的基础上,利用广义状态空间平均法建立了较传统建模方式精确度较高的小信号数学模型;并与状态空间平均法创建的模型比较。利用该模型在Matlab上设计了双闭环PI调节器的参数。最后通过Matlab仿真验证了该模型的准确性和控制器的可行性。

The power factor correction（PFC） can effectively eliminate the harmonics of the rectifier,which is of great significance to prevent the harmonic pollution in the power system.The state space averaging method has been successfully applied to the PWM power converter,but it has its own limitations in the switch converter.Based on the analysis of the working principle of boost PFC circuit,a precise small signal mathematical model of singlephase boost PFC is established by using the generalized state space averaging method,which is also compared with the model created by the state space averaging method.Moreover,on the basis of the model,the parameters of the double closed loop PI regulator are designed by Matlab.Finally,the validity of the model and the feasibility of the controller are verified by simulation.