The LCL type active power filter (APF) with a traditional repetitive controller has drawbacks in terms of poor dynamic performance, large steady-state error, and difficult digital implementation. A fast repetitive control (RC) algorithm was proposed in this paper in an effort to improve the APF dynamic performance without worsening its stability. To eliminate the non-integer delay of the traditional RC, a fractional-order RC algorithm based on the Lagrangian Interpolation was developed. The proposed fast fractional-order RC (FFORC) strategy only needs 1/6 delay time when compared to the traditional RC. In addition, it can track the error signal quickly and obtain a higher steady-state accuracy. Furthermore, the double current loops control method with grid side current and inverter side current feedback is proposed to achieve active damping of the resonance peak of the LCL filter, which ensures that the APF system is stable. Simulation and experimental results are presented to verify the performance of the dynamic response and steady-state accuracy of the proposed FFORC strategy.

采用传统重复控制器的LCL型有源电力滤波器(APF)存在动态性能差、稳态误差大、数字化实现困难等缺点。本文提出了一种快速重复控制（RC）算法，以在不降低其稳定性的情况下提高 APF 的动态性能。为了消除传统RC的非整数延迟，提出了一种基于拉格朗日插值的分数阶RC算法。与传统 RC 相比，所提出的快速分数阶 RC (FFORC) 策略仅需要 1/6 的延迟时间。此外，它可以快速跟踪误差信号，获得更高的稳态精度。此外，提出了电网侧电流和逆变侧电流反馈的双电流环控制方法，实现了LCL滤波器谐振峰值的有源阻尼，保证了APF系统的稳定。仿真和实验结果用于验证所提出的 FFORC 策略的动态响应和稳态精度的性能。