Abstract:Windowed FFT algorithm is widely used for power harmonic analysis recently. However, there are some contradictions between the accuracy and computation burden in discrete spectral corrections. In this paper, the power harmonic analysis algorithm based on the least square method (LSM) and triangular self-convolution windows (TSCW) are proposed. Firstly, the signal is weighted by TSCW for reducing spectral leakage. Then, the polynomials for discrete spectral corrections, which are also adjustable by the computation accuracy, are founded based on the LSM. Finally, the computation formulas of amplitude, phase and frequency of harmonics are given based on the spectral correction polynomials. The power harmonic analysis experiments are taken under non-synchronized sampling and non-integral period truncation, including white noise and fundamental frequency changing, which verify the usefulness of the proposed method.
温和, 滕召胜, 黎福海, 王永, 胡晓光. 改进加窗频谱峰值拟合算法及谐波分析应用[J]. 电工技术学报, 2011, 26(10): 8-15.
Wen He, Teng Zhaosheng, Li Fuhai, Wang Yong, Hu Xiaoguang. Improved Windowed Spectral-Peaks Polynomial Fitting Algorithm and Its Application in Power Harmonic Analysis. Transactions of China Electrotechnical Society, 2011, 26(10): 8-15.
[1] Chang G W, Chen C I, Liu Y J, et al. Measuring power system harmonics and interharmonics by an improved fast Fourier transform-based algorithm[J]. IET Generation, Transmission & Distribution, 2008, 2(2): 193-201. [2] Hagh M T, Taghizadeh H, Razi K. Harmonic minimization in multilevel inverters using modified species-based particle swarm optimization[J]. IEEE Transactions on Power Electric, 2010, 24(10): 2259- 2267. [3] 蔡涛, 段善旭, 刘方锐. 基于实值MUSIC算法的电力谐波分析方法[J]. 电工技术学报, 2009, 24(12): 149-155. [4] Yang Rengang, Xue Hui. A novel algorithm for accurate frequency measurement using transformed consecutive points of DFT[J]. IEEE Transactions on Power Systems, 2008, 23(3): 1057-1062. [5] Ferrero A, Ottoboni R. High-accuracy Fourier analysis based on synchronous sampling techniques[J]. IEEE Transactions on Instrumentation and Measurement, 1992, 41(6): 780-786. [6] 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. [7] Chen K F, Li Y F. Combining the Hanning windowed interpolated FFT in both directions[J]. Computer Physics Communications, 2008, 178(12): 924-928. [8] Agrez D. Dynamics of frequency estimation in the frequency domain[J]. IEEE Transactions on Instrumentation and Measurement, 2007, 56(6): 2111-2118. [9] Harris F J. On the use of windows for harmonic analysis with the discrete Fourier transform[J]. Proceedings of IEEE, 1978, 66(1): 51-83. [10] 曾博, 滕召胜, 高云鹏, 等. 基于Rife-Vincent窗的高准确度电力谐波相量计算方法[J]. 电工技术学报, 2009, 24(8): 154-159. [11] Nuttall A H. Some windows with very good sidelobe behavior [J]. IEEE Transactions on Acoustics Speech Signal Processing, 1981, 29(1): 84-91. [12] 卿柏元, 滕召胜, 高云鹏, 等. 基于Nuttall窗双峰插值FFT的高精度电力谐波分析方法[J]. 中国电机工程学报, 2008, 28(2): 48-52. [13] 张介秋, 梁昌洪, 陈硕圃. 基于卷积窗的电力系统谐波理论分析与算法[J]. 中国电机工程学报, 2004, 24(11): 48-52. [14] 黄纯, 江亚群. 谐波分析的加窗插值改进算法[J]. 中国电机工程学报, 2005, 25(15): 26-32. [15] 温和, 滕召胜, 王一, 等. 基于三角自卷积窗的介损角高精度测量算法[J]. 电工技术学报, 2009, 24(2): 164-169. [16] Wen H, Teng Z S, Guo S Y, et al. Triangular self-convolution window with desirable sidelobe behaviors for harmonic analysis of power system[J]. IEEE Transactions on Instrumentation and Measurement, 2010, 59(3): 543-552. [17] Courses E, Surveys T. Dynamics of frequency estimation in the frequency domain[J]. IEEE Transactions on Instrumentation and Measurement, 2007, 56(6): 2111-2118. [18] Antoni J, Schoukens J. A comprehensive study of the bias and variance of frequency-response-function measurements: optimal window selection and overlapping strategies[J]. Automatica, 2007, 43(10): 1723-1736. [19] Agre D. Interpolation in the frequency domain to improve phase measurement[J]. Measurement, 2008, 41(2): 151-159. [20] Belega D, Dallet D. Amplitude estimation by a multipoint interpolated DFT approach [J]. IEEE Transactions on Instrumentation and Measurment, 2009, 58(5): 1316-1323.