三相四线制有源电力滤波器分数阶重复控制研究

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关键词：有源电力滤波器；重复控制；全通滤波器；谐波补偿；分数阶延时DOI：10.15938/j. emc.2025.09.007中图分类号：TM46 文献标志码：A 文章编号：1007-449X（2025）09-0072-10

Abstract ：Active power filter（APF） is an important equipment for controlling harmonic pollution in power grids.There exists a deviation between the resonant frequency of the conventional repetitive control and the actual frequency of the grid when the grid is operating outside the nominal frequency，leading to a reduction in the APF's ability to track and compensate for harmonics.To address the issue of insufficient tracking and compensation capability of repetitive control under non-nominal frequency conditions，a mathematical model of the active power filter was developed，analyzing the impact of the grid frequency deviations on traditional repetitive control.A novel fractional-order repetitive control method was proposed，incorporating an all-pass filter into the internal model of the repetitive control to construct a fractional delay element. The grid frequency was obtained via a phase-locked loop to adjust the counting parameters and filter setings of the repetitive control.The stability of the system was examined，enabling accurate tracking and compensation of harmonics by the repetitive control. Experiments demonstrate that the proposed control method efectively eliminates the deviation between the resonant frequency of the repetitive control and the grid frequency，enhancing the system’s tracking and compensation capacity for periodic harmonics at non-nominal grid frequencies，and reducing the total harmonic distortion of the grid-side current.

Keywords ：active power filter; repetitive control; all-pass filter; harmonic compensation ; fractional order delay

0引言

近年来，随着新能源的持续发展与应用，电力电子装置引发的谐波污染问题日益突出。（剩余12643字）