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性和正确性。

Stabilization of the three-phase active power filter under state saturation constraints

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 wave-form, 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 subsys-tem 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 cor-rectness and feasibility of the proposed method .