三相APF切换和空间电压矢量联合控制方法

Control methods of three-phase active power filter based on switch and space voltage vector

首先,建立三相APF切换仿射线性系统的模型。然后,根据三相电源电压的空间电压矢量图及波形图,将三相电源电压分成6个扇区。再根据凸组合稳定条件,在每个扇区内设定满足系统二次稳定的切换子系统的组合,并为系统选取共同的李亚普诺夫(Lyapunov)函数,根据切换系统稳定性理论,在这些切换子系统的组合中选取使得Lyapunov函数导数最小的子系统。最后,仿真分析和实验结果证明了所提出方法的可行性。

The three-phase APF was modeled as a switched affine system. Then,based on the space voltage vector diagram and waveform of three phase supply voltage,three phase supply voltage was divided into six sectors. In each sector,according to convex combination stability condition,a switching subsystem combination which met secondary stability condition was set up. Meanwhile,a common Lyapunov function was selected. From the stability theory of switched systems,the subsystem of the combination,which has minimum derivative of Lyapunov function,was selected. Finally,the validity of proposed control method was confirmed by Simulink and experimental results.