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

作　　者：程新功[1] 张梦华[1] 宗西举[1] 任宏伟[1] 王玉真[1] 高军 

机构地区：[1]济南大学自动化与电气工程学院,山东济南250022 [2]菏泽供电公司,山东菏泽274000

出　　处：《电机与控制学报》2014年第12期57-63,71,共8页Electric Machines and Control

基　　金：国家自然科学基金(11201179);山东省自然科学基金(ZR2011EEM024);山东省自主创新专项(2012CX30302)

摘　　要：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.

关 键 词：APF 二次稳定 空间电压矢量控制 凸组合 LYAPUNOV函数 切换仿射线性系统 

分 类 号：TM85[电气工程—高电压与绝缘技术]