基于總體最小二乘改進(jìn)的SDFT三相交流電頻率估計算法
發(fā)布時間:2018-06-07 22:07
本文選題:頻率估計 + 總體最小二乘; 參考:《東南大學(xué)學(xué)報(自然科學(xué)版)》2017年06期
【摘要】:為了解決SDFT算法在含有噪聲、諧波或突發(fā)干擾的電力網(wǎng)絡(luò)中電壓信號基頻分量三點(diǎn)關(guān)系式不嚴(yán)格成立的問題,引入總體最小二乘算法(TLS-SDFT)進(jìn)行改進(jìn).TLS-SDFT算法采用滑動窗截取的多個DFT基頻分量樣本點(diǎn)來擴(kuò)展SDFT算法的三點(diǎn)關(guān)系式,引入擾動矩陣,并通過對系數(shù)矩陣進(jìn)行奇異值分解,使擾動矩陣具有最小Frobenious范數(shù),得到改進(jìn)的頻率估計值.由于系數(shù)矩陣結(jié)構(gòu)的特殊性,該算法的額外復(fù)雜度為窗長的線性函數(shù).仿真結(jié)果表明,在高斯白噪聲干擾下,改進(jìn)算法的估計偏差和均方誤差遠(yuǎn)低于原SDFT算法.在高次諧波干擾、信號參數(shù)突變以及變電站實測環(huán)境下,改進(jìn)算法的頻率追蹤精確度均有明顯提升.
[Abstract]:In order to solve the problem that the fundamental frequency component of the voltage signal in a power network with noise, harmonic or burst interference is not strictly established in the SDFT algorithm, the total least square algorithm (TLS-SDFT) is introduced to the improved.TLS-SDFT algorithm to extend the three point formula of the SDFT algorithm by using the multiple DFT basic frequency component sample points of the sliding window. The perturbation matrix is introduced and the singular value decomposition of the coefficient matrix is carried out to make the perturbation matrix have the minimum Frobenious norm, and the improved frequency estimation is obtained. Due to the particularity of the coefficient matrix structure, the additional complexity of the algorithm is a linear function of the window length. The simulation results show that the improved algorithm is estimated under the Gauss white noise interference. The error and mean square error are far lower than the original SDFT algorithm. In the high order harmonic interference, the signal parameter mutation and the substation measurement environment, the improved algorithm has a significant increase in frequency tracking accuracy.
【作者單位】: 東南大學(xué)信息科學(xué)與工程學(xué)院;
【基金】:國家自然科學(xué)基金資助項目(61401094,61771124) 江蘇省自然科學(xué)基金資助項目(BK20140645) 中央高;究蒲袠I(yè)務(wù)費(fèi)專項資金資助項目(2242016K41050)
【分類號】:TM711;TM935
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