基于Lyapunov函数的混合型有源电力滤波器控制策略  

Lyapunov-function-based control strategy for hybrid active power filter

作　　者：韩伟[1,2] 王大志[1] 李云路[1] 郭喜峰[1] 

机构地区：[1]东北大学电力系统与电力传动研究所,辽宁沈阳110819 [2]内蒙古民族大学物理与电子信息学院,内蒙古通辽028043

出　　处：《控制理论与应用》2014年第9期1174-1181,共8页Control Theory & Applications

基　　金：国家自然科学基金资助项目(51467017);内蒙古自然科学基金资助项目(2013MS0922);内蒙古民族大学科学研究基金资助项目(NMD1307)

摘　　要：为了提高有源电力滤波器(APF)的谐波电流补偿性能,降低装置的成本,本文研究了一种无源滤波支路与APF串联的混合型有源电力滤波器(HAPF),该结构允许选取较小的直流母线电压,有源部分的功率等级大大降低.在建立了包括无源和有源部分数学模型的基础上,构造了系统的一个Lyapunov函数,通过选取适当的控制律,使得其导函数负定,从而保证系统对谐波参考电流的稳定跟踪.从鲁棒性和跟踪性能的角度出发,推导并给出了控制增益的选取范围和优化目标.外层直流侧电压控制环采用了自抗扰比例积分(ADR–PI)控制,增强了抵抗负载扰动的能力.最后,通过仿真分析和实验验证了所提方法的可行性和优越性.To improve the harmonic current compensation performance of the active power filter （APF） and reduce its cost,we develop a hybrid active power filter （HAPF） consisting a passive filter and an active power filter in series,which permits a lower DC bus voltage and greatly reduces the rating of active power filter.For the mathematical model of this combination,we construct a Lyapunov function and select an appropriate control law to make its leading function negative definite,so that the steady tracking for harmonic current is realized.According to the requirements on robustness and tracking performance,we derive and determine the turning range and the optimal value of the control gain.An autodisturbance-rejection proportional integral （ADR-PI） control is adopted in the outer DC bus voltage control loop which efficiently enhances the ability in resisting load disturbances.Finally,the simulation and experiment validate the feasibility and the superiority of the control strategy.

关 键 词：有源电力滤波器 建模 LYAPUNOV函数 鲁棒性 自抗扰调节 

分 类 号：TM761.12[电气工程—电力系统及自动化]