单相有源电力滤波器非线性统一控制策略

Nonlinear unified control for single-phase active power filter

目前有源电力滤波器控制策略都采用电流内环和电压外环的双环控制.本文提出了一种基于精确反馈线性化的单相有源电力滤波器统一控制策略.在单相有源电力滤波器仿射非线性模型基础上,通过求解偏微分方程得到一个包含补偿电流变量和直流侧电压变量的输出函数,并推导出了其状态反馈精确线性化非线性控制律,将原非线性系统转换成微分同胚的二阶线性系统.选取适当的反馈系数设计控制器使输出函数渐近跟踪指令参考值,从而实现了电流和电压的统一控制.最后通过仿真分析和实验验证了所提方案的优越性和可行性.

Existing active power filter controllers are composed of the current inner loop and the voltage outer loop.We present a unified control method based on exact feedback linearization for the single-phase active power filter.By solving a partial differential equation,we obtain the output function containing the information of the compensation current and DC side voltage variables.The nonlinear state feedback control law is derived,thus transforming the nonlinear system into a diffeomorphism second-order linear system.By properly selecting feedback coefficients,we design the controller which forces the output function to asymptotically track the reference output,thus realizing the unified control of the compensation current and the DC side voltage.The efficacy of the proposed control method is verified by simulation and experiment.