三相APF考虑饱和限幅稳定性控制方法

针对APF（active power filter）在控制中的混杂特性和饱和非线性问题,提出一种将切换算法和空间电压矢量控制算法相结合并应用于考虑饱和限幅的三相APF的控制策略。该方法首先建立三相APF的切换仿射线性系统的误差模型,根据Lyapunov相关定理及凸集理论,为考虑饱和限幅的三相APF找到了一种新的、保守型更小的切换率。然后根据三相电源电压构成的空间电压矢量图及波形图,三相电源电压被分成六个扇区,再根据凸组合稳定条件,在每个扇区内找到可以保证系统二次稳定的开关子系统的组合,在这些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...

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Bibliographic Details
Published in电机与控制学报 Vol. 20; no. 6; pp. 9 - 16
Main Author 张梦华 程新功 宗西举 王洪杰 王玉真
Format Journal Article
LanguageChinese
Published 济南大学自动化与电气工程学院,山东济南,250022%广州地铁设计研究院有限公司,广东广州,300072 2016
Subjects
切换仿射线性系统
有源电力滤波器
李亚普诺夫函数
空间电压矢量控制
饱和限幅
饱和限幅
space voltage vector control
switched affine linear system
切换仿射线性系统
saturation constraints
空间电压矢量控制
active power filter
李亚普诺夫函数
有源电力滤波器
Lyapunov function
Online AccessGet full text
ISSN1007-449X
DOI10.15938/j.emc.2016.06.002

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Summary:针对APF（active power filter）在控制中的混杂特性和饱和非线性问题,提出一种将切换算法和空间电压矢量控制算法相结合并应用于考虑饱和限幅的三相APF的控制策略。该方法首先建立三相APF的切换仿射线性系统的误差模型,根据Lyapunov相关定理及凸集理论,为考虑饱和限幅的三相APF找到了一种新的、保守型更小的切换率。然后根据三相电源电压构成的空间电压矢量图及波形图,三相电源电压被分成六个扇区,再根据凸组合稳定条件,在每个扇区内找到可以保证系统二次稳定的开关子系统的组合,在这些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和正确性。
Bibliography:Combining switching control with space voltage vector, a method which applies to three-phase APF considering saturation limiting was proposed. First, error model of switching system of three-phase APF was established. A novel conservative stability criterion was found for saturation limiting based on Lyapunov stability theorem and convex set theory. And then according to space vector figure and waveform, three phase supply voltage was divided into six sectors. Switch subsystem combination which meets quadratic stability requirement was chosen in each sector from convex stability requirement. The subsystem which made Lyapunov derivation the minimum was chosen in the subsystem combination which met quadratic stability requirement. Finally, the simulation analysis and experimental results proved the correctness and feasibility of the proposed method.
23-1408/TM
ZHANG Meng-hua, CHENG Xin-gong, ZONG Xi-ju, WANG Hong-jie, WANG Yu-zhen （ 1. School of Electrical and Engineering, University of Jinan,Jinan 250022, China;
ISSN:1007-449X
DOI:10.15938/j.emc.2016.06.002