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电网技术  2014 

基于偏π/4直角坐标的DFT相角测量算法

DOI: 10.13335/j.1000-3673.pst.2014.09.036, PP. 2544-2550

Keywords: 相角测量,离散傅里叶变换,正序,偏&,#x003c0,/4直角坐标系,相角误差

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Abstract:

鉴于传统的离散傅里叶变换(discreteFouriertransform,DFT)相角测量算法在精度和实时性方面效果不佳,分析了在非同步采样下DFT算法的相角误差,推导出相角误差与频率偏移率和采样初相角的函数关系,并提出一种基于偏π/4直角坐标系的相角测量算法。相角误差分为固定相角误差和动态相角误差。该算法利用坐标系中坐标轴的正交特性以及四相平衡关系,对动态相角误差尽可能地削减。与传统的DFT方法相比,该算法对动态相角误差进行了较好的修正,使得相角测量的精确度得到提高。最后,实验验证了该算法的精确度和实时性,结果表明该算法是可行的,且在保证频率跟踪测量精度的前提下,对含有各种干扰的电力信号也具有良好的测量能力。

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