A Novel Harmonic Detection Algorithm Based on Time-varying Observer

Shuang Li, Hui Li, Zhixin Wang
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Abstract

This paper proposed a novel harmonic detection method for active power filter that the linear time-varying Luenberger observer (LTLO) is utilized for detecting specific harmonic currents in real time. The observer can reduce the calculation amount of traditional harmonic fractional compensation and achieve rapid harmonic detection through a time-varying observer. By embedding the high-frequency current harmonic internal model into the state matrix of the time-varying state observer, the observation error of the state observer can be effectively reduced. By designing a reasonable output matrix, a specific order of harmonics can be observed, which can effectively reduce the capacity of the active power filter. The validity of the proposed observer is proved by Lyapunov-like lemma and Barbalat's lemma. The simulation results demonstrated that the proposed harmonic detection method can achieve accurate estimate specific order harmonic current.
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一种基于时变观测器的谐波检测算法
提出了一种新的电力有源滤波器谐波检测方法,利用线性时变Luenberger观测器(LTLO)实时检测特定谐波电流。该观测器可以减少传统谐波分数补偿的计算量,通过时变观测器实现快速谐波检测。通过将高频电流谐波内模型嵌入时变状态观测器的状态矩阵中,可以有效地减小状态观测器的观测误差。通过设计合理的输出矩阵,可以观察到特定阶次的谐波,从而有效地减小有源电力滤波器的容量。用李亚普诺夫类引理和巴巴拉特引理证明了所提观察者的有效性。仿真结果表明,所提出的谐波检测方法能够准确估计出比阶谐波电流。
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