基于扩展DFT的谐波检测算法的研究

发布时间：2018-05-31 02:09

本文选题：非同步采样 + DFT　；参考：《现代电子技术》2017年21期

【摘要】：传统离散傅里叶变换(DFT)算法因其具有计算效率高,便于在嵌入式系统中应用的优点而广泛应用于谐波检测中,但其在非同步采样下,频谱泄露和栅栏效应的存在将会影响到测量结果的精确性。将扩展傅里叶变换(EDFT)应用于谐波检测中,EDFT以傅里叶积分变换为目标,在扩展的频率范围内优化变换基即利用变换基函数取代传统DFT变换中的指数基来构造信号的目标函数,并将原始数据通过迭代近似拟合从而使测量精度得以提高。经验证,在非同步采样和噪声存在的条件下,该方法依然有较高的频率分辨率和较强的抗干扰特性,适用于高精度测量或检测。
[Abstract]:The traditional discrete Fourier transform (DFT) algorithm is widely used in harmonic detection because of its high computational efficiency and convenient application in embedded systems, but it is widely used in asynchronous sampling. The existence of spectrum leakage and fence effect will affect the accuracy of measurement results. In this paper, the extended Fourier transform (EDFT) is applied to harmonic detection. The Fourier integral transform is taken as the target. In the extended frequency range, the transform basis is optimized to replace the exponential basis of the traditional DFT transform to construct the objective function of the signal. The original data is approximated by iteration to improve the measurement accuracy. It is verified that the proposed method still has high frequency resolution and strong anti-interference characteristics under the condition of asynchronous sampling and noise. It is suitable for high precision measurement or detection.
【作者单位】：太原理工大学电力系统运行与控制山西省重点实验室;华北电力大学电气与电子工程学院;
【基金】：国家自然科学青年基金项目(51505317) 山西省自然科学基金项目(2015011057)
【分类号】：TM935

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