单相有源电力滤波器L_2增益重复控制新方法

A Novel L_2-Gain Repetitive Control Algorithm for Single-Phase Active Power Filter

提出一种适合于单相有源电力滤波器的L2增益重复控制新方法。这种方法在所建立的考虑干扰和参数摄动影响的单相有源电力滤波器端口受控哈密顿系统平均化模型基础上,首先通过对误差系统方程的等价变换,将参数摄动的影响转化为周期干扰的一部分;而后设计L2增益重复控制方法,利用重复控制对周期干扰进行补偿,利用L2增益控制确保重复控制的收敛性和对控制目标的渐近跟踪,并抑制非周期干扰对控制效果的影响;此外,该方法还采用在大电容情形下忽略波动量影响的方式克服了准确在线计算直流电容参考电压波动量的困难。仿真实验中通过与采用传统PI控制策略和L2增益控制方法时的结果进行对比,验证该文所提出方法的正确性和有效性。

A novel L2-gain repetitive control algorithm for single-phase active power filter （APF） based on the port controlled Hamiltonian （PCH） averaged model of single-phase APF with disturbances and parametric perturbations was proposed. Firstly, equivalent transform of error system averaged equations was adopted so that the influence of parametric perturbations could be converted into part of the periodic disturbances. Then, L2-gain repetitive control algorithm was designed. Specifically speaking, repetitive control was used to compensate periodic disturbances, while the convergence of learning process was guaranteed by L2-gain control. L2-gain control could also ensure asymptotically tracking control objectives of single-phase APF and suppress other aperiodic disturbances. In addition, in order to deal with the difficulty in estimating the ripple component on dc-side capacitor reference voltage, the modified control algorithm was proposed by ignoring the ripple component. Simulation results verify the validity of the proposed algorithm. The simulation responses of the traditional PI control strategy and the L2-gain control method are also presented for comparative study.