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| Hanning Self-Convolution Windows and Its Application to Harmonic Analysis |
| Wen He, Teng Zhaosheng, Qing Baiyuan |
| Hunan University Changsha 410082 China |
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Abstract Suitable windows and interpolation FFT algorithms have been used to eliminate the errors caused by spectral leakage and picket fence effect. New kinds of windows, called as Hanning self-convolution windows(HSCW), are presented. The p-order HSCW is produced by convolving p Hanning windows. The major lobe and side lobes characteristics of p-order HSCW are discussed and an interpolated FFT algorithm based on HSCW is given. As the new windows have the optimal side lobe levels and the side lobes decay at a very fast rate, the windowed interpolation FFT algorithm can greatly increase the accuracy of harmonic analysis. The simulation results show the effectiveness and practicability of the algorithm.
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Received: 14 September 2007
Published: 11 February 2014
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[1] Ortmeyer T H, Chakravarthi K R, Mahmoud A A. The effects of power system harmonics on power system equipment and loads[J]. IEEE Trans. on Power Apparatus and Systems, 1985, 104(9): 2555-2563.
[2] Gregorio A, Mario S, Amerigo T. Windows and interpolation algorithms to improve electrical measu- rement accuracy[J]. IEEE Trans. on Instrumentation and Measurement, 1989, 38(4): 856-863.
[3] Jain V K, Collins W L, Davis D C. High-accuracy analog measurements via interpolated FFT[J]. IEEE Trans. on Instrumentation and Measurement, 1979, 28(2): 113-122.
[4] Grandke T. Interpolation algorithms for discrete Fourier transform of weighted signals[J]. IEEE Trans. on Instrumentation and Measurement, 1983, 32(2): 350-355.
[5] Harris F J. On the use of windows for harmonic analysis with the discrete Fourier transform[J]. Proc IEEE, 1978, 66(1): 51-83.
[6] Rife D C, Vincent G A. Use of the discrete Fourier transform in the measurement of frequencies and levels of tones[J]. The Bell System Technical Journal, 1970, 49(2): 197-228.
[7] Nuttall A H. Some windows with a very good sidelobe behavior[J]. IEEE Trans. on Acoustics, Speech and Signal Processing, 1981, 29(1): 84-91.
[8] 张介秋, 梁昌洪, 陈砚圃. 一类新的窗函数——卷积窗及其应用[J]. 中国科学E辑, 2005, 35(7): 773-784.
[9] 潘文, 钱俞寿, 周鹗. 基于加窗插值FFT的电力谐波测量理论(I)——窗函数研究[J]. 电工技术学报, 1994, 9(1): 50-54.
[10] 张伏生, 耿中行, 葛耀中. 电力系统谐波分析的高精度FFT算法[J]. 中国电机工程学报, 1999, 19(3): 63-66.
[11] 赵文春, 马伟明, 胡安. 电机测试中谐波分析的高精度FFT算法[J]. 中国电机工程学报, 2001, 21(12): 83-87.
[12] 吴静, 赵伟. 一种用于分析电网谐波的多谱线插值算法[J]. 中国电机工程学报, 2006, 26(8): 55-59.
[13] 庞浩, 李东霞, 俎云霄, 等. 应用FFT进行电力系统谐波分析的改进算法[J]. 中国电机工程学报, 2003, 23(6): 50-54.
作者简介: 温和 男, 1982年生, 博士研究生, 主要从事智能控制、信息处理研究。滕召胜 男, 1963年生, 教授, 博士生导师, 主要从事信息融合、智能检测与控制研究。 |
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2009, Vol. 24 
