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Inter-Harmonic Spectral Estimation in Power System Based on the Optimal Window Burg Algorithm |
Li Ming, Wang Xiaoru |
Southwest Jiaotong University Chengdu 610031 China |
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Abstract The Burg algorithm is suitable for spectral estimation of inter-harmonic in power system, but its effect of spectral estimation is affected by peak bias and spectral line splitting. By analyzing the error, a new method of inter-harmonic spectral estimation based on the optimal window Burg algorithm is presented in this paper. The optimal window can be obtained by minimizing the variance of average frequency error. Then reflection coefficient is obtained by minimizing the average power of windowed prediction error. Finally, the power spectrum is obtained. Experimental results show this method has high frequency resolution compared with Burg algorithm and hamming window Burg algorithm. And by Levinson iteration, this method has lower computational complexity than eigenvalue method. This method can be used in the inter-harmonic spectral estimation in power system.
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Received: 20 July 2009
Published: 07 March 2014
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[1] 林海雪. 电力系统中的间谐波问题[J]. 供用电, 2001, 18(3): 6-9. [2] 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. [3] 祁才君, 王小海. 基于插值FFT算法的间谐波参数估计[J]. 电工技术学报, 2003, 18(1): 92-95. [4] 王志群, 朱守真, 周双喜. 基于Pisarenko谐波分解的间谐波估算方法[J]. 电网技术, 2004, 28(15): 72-77. [5] 高培生, 谷湘文, 吴为麟. 基于空间谱和支持向量回归机的间谐波分析[J]. 电力系统自动化, 2007, 31(24): 67-70. [6] 沈睿佼, 杨洪耕. 基于特征空间求根法的非整数次谐波估计方法[J]. 中国电机工程学报, 2006, 26(24): 72-76. [7] 金国彬, 李玲, 李天云, 等. 间谐波高精度检测新方法[J]. 电力系统及其自动化学报, 2009, 21(2): 25-30. [8] 李晶, 裴亮, 郁道银, 等. 一种用于电力系统谐波与间谐波分析的超分辨率算法[J]. 中国电机工程学报, 2006, 26(15): 35-39. [9] 任震, 黄群古, 黄雯莹, 等. 基于多频带小波变换的电力系统谐波分析新方法[J]. 中国电机工程学报, 2000, 20(12): 38-41. [10] 薛蕙, 杨仁刚. 基于连续小波变换的非整数次谐波测量方法[J]. 电力系统自动化, 2003, 27(5): 49-53. [11] 张宇辉, 金国彬, 李天云. 基于自适应最优核时频分布理论的间谐波分析新方法[J]. 中国电机工程学报, 2006, 26(18): 84-89. [12] 蔡忠法, 陈隆道. 基于AR谱估计和Adaline神经元的间谐波分析[J]. 电力系统自动化, 2007, 31(17): 78-82. [13] 马秉伟, 刘会金, 周莉, 等. 一种基于自回归模型的间谐波谱估计的改进算法[J]. 中国电机工程学报, 2005, 25(15): 79-83. [14] Marple L. A new autoregressive spectrum analysis algorithm[J]. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1980, ASSP-28(4): 441-454. [15] Swingler D N. A modified Burg algorithm for maximum entropy spectral analysis[J]. Proc. IEEE, 1979, 67(9): 1368-1369. [16] Kaveh M, Lippert G. An optimum tapered Burg algorithm for linear prediction and spectral analysis[J]. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1983, ASSP-31(2): 438-444. [17] 张贤达. 现代信号处理[M]. 2版. 北京: 清华大学出版社, 1999. [18] Proakis J G. 统计信号处理算法[M]. 汤俊, 译. 北京: 清华大学出版社, 2006. [19] 皇甫堪, 陈建文, 楼生强. 现代数字信号处理[M]. 北京: 电子工业出版社, 2003. |
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