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Stability Analysis of Power Measurement Based on Adaptive Notch Filter

机译：基于自适应陷波滤波器的功率测量稳定性分析

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摘要

An adaptive notch filter (ANF) -based fundamental-frequency and harmonic-frequency is deliberated in the paper,which can be applied to power measurement.The stability of ANF is proved by mathematical derivations.Considering the situation of the input signal contains not only the fundamental and harmonic components but also some interference signals with unknown frequencies,the model of error system of ANF is constructed.By using of the theory of nonlinear systems,it is proved that the boundary of the error system’s outputs which represent the range of the ANF system’s errors are convergent.Simulation and experiment results also indicate the convergence of the error system.
机译：本文研究了基于自适应陷波滤波器（ANF）的基频和谐波频率，可将其应用于功率测量中。通过数学推导证明了ANF的稳定性。考虑输入信号的情况不仅包含利用基波分量和谐波分量以及一些频率未知的干扰信号，建立了ANF误差系统的模型。利用非线性系统理论，证明了误差系统输出的边界代表了误差的范围。仿真和实验结果也表明了误差系统的收敛性。

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