Sample Rate Converter As a Means of Reducing Measurment Error of the Voltage Spectrum by Application of FFT

A. Serov, A. A. Shatokhin, G. Antipov
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引用次数: 4

Abstract

Nowdays, measurements of different power quality parameters are based on spectrum measurements by application of Fast Fourier Transform (FFT). At the same time, in order to eliminate the "spectrum leakage" effect, measurement time should be a multiple of the input signal period. Frequency of real power grids is variable. For successful FFT application, the number of processed samples must be equal to a power of two or four. It calls for periodic measurement of the frequency of the input signal and oversampling. A sample rate converter (SRC) is applied to perform resampling. In this article a method of spectrum measurement and apparent power measurement, based on the application of FFT and SRC is described. Measurement errors of these values, due to inaccurate sampling frequency adjustment are analyzed. A SRC based on the Lagrange interpolator is considered. The Lagrange interpolator is implemented on the Farrow structure (Farrow Filter). Analytical expressions are obtained for estimating the error of the magnitude response and phase response of digital SRC of the order from zero to fourth.
利用FFT减小电压谱测量误差的采样率变换器
目前,各种电能质量参数的测量都是基于快速傅里叶变换(FFT)的频谱测量。同时,为了消除“频谱泄漏”效应,测量时间应为输入信号周期的倍数。实际电网的频率是可变的。对于成功的FFT应用,处理样本的数量必须等于2或4的幂。它要求对输入信号的频率进行周期性测量和过采样。采用采样率转换器(SRC)进行重采样。本文介绍了一种基于FFT和SRC技术的频谱测量和视在功率测量方法。分析了由于采样频率调整不准确造成的测量误差。考虑了一种基于拉格朗日插值器的SRC。拉格朗日插值器是在法罗结构(法罗滤波器)上实现的。得到了数字SRC的幅度响应和相位响应误差从0到4阶的解析表达式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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