东南大学学报（自然科学版）2017，Vol.47Issue(6)：1129-1134,6.DOI:10.3969/j.issn.1001-0505.2017.06.008
基于总体最小二乘改进的SDFT三相交流电频率估计算法
Improved SDFT algorithm based on total least squares for frequency estimation in three-phase power system
摘要
Abstract
In the smart discrete Fourier transform (SDFT)algorithm,the underlying relationship among the three consecutive fundamental components of the voltages does not hold when the three-phase power system is contaminated by noises,harmonics,or encountered with sudden interrupts.To solve this problem,a total least squares SDFT(TLS-SDFF) algorithm is put forward.In the proposed algorithm,the original three point relation formula in the SDFT algorithm is extended based on the multiple DFT fundamental observations obtained by sliding windows.A perturbation matrix is introduced.The coefficient matrix is singular value decomposed to minimize the Frobenious norm of the perturbation matrix,and then the estimated frequency is improved.Due to the special structure of the coefficient matrix,the additional complexity of the proposed algorithm is a linear function with the length of the sliding window.The simulation results show that the estimation bias and the mean square error of the proposed algorithm are much smaller than those of the original SDFT algorithm under the interference of Gauss white noise.The frequency tracking accuracy of the proposed algorithm is obviously improved under the conditions of high harmonic interference,signal parameter mutation and real substation measurement.关键词
频率估计/总体最小二乘/离散傅里叶变换/参数估计Key words
frequency estimation/total least squares/smart discrete Fourier transform/parameter estimation分类
信息技术与安全科学引用本文复制引用
刘勇,王开,刘航,沈佳佳,裴文江,夏亦犁..基于总体最小二乘改进的SDFT三相交流电频率估计算法[J].东南大学学报（自然科学版）,2017,47(6):1129-1134,6.基金项目
国家自然科学基金资助项目(61401094,61771124)、江苏省自然科学基金资助项目(BK20140645)、中央高校基本科研业务费专项资金资助项目(2242016K41050). （61401094,61771124）
