Detection of remote harmonics using SVD

Abstract

The paper examines the singular value decomposition (SVD) for detection of remote harmonics in signals, in the presence of high noise contaminating the measured waveform. When the number of harmonics is very large and at the same time certain harmonics are distant from the other, the conventional frequency detecting methods are not satisfactory. The methods developed for locating the frequencies as closely spaced sinusoidal signals are appropriate tools for the investigation of power system signals containing harmonics differing significantly in their multiplicity. The SVD methods are ideal tools for such cases. To investigate the methods several experiments have been performed. For comparison, similar experiments have been repeated using the FFT with the same number of samples and sampling period. The comparison has proved an absolute superiority of the SVD for signals burried in noise. However, the SVD computation is much more complex than the FFT, and requires more extensive mathematical manipulations.

Performance of low frequency magnetometers to non-sinusoidal magnetic fields

“…The FFT is a rigid tool that must be programmed according to the application. However, advances on harmonic and interharmonic detection and estimation are continuously reported [11,[14][15][16][17]. The failure in the detection of frequency components of small amplitude can result in an erroneous exposure assessment according, for example, to the ICNIRP guideline [12].…”

Power quality meters placement using seeker optimization algorithm for harmonic state estimation

“…To improve placement quality, a suitable procedure to perform HSE such as singular value decomposition (SVD) which s a useful tool for this task, should be defined [16][17][18][19][20][21]. One of the advantages of SVD approach is that it does not require the whole network system to be observable prior to estimation.…”

A novel technique for estimating harmonic and inter-harmonic frequencies in power system signals

“…The technique has also been applied to study the characteristics of capacitor inrush currents [6] and earth-fault currents [7]. A parametric estimation technique similar to Prony's analysis has been combined with the singular-value decomposition to identify harmonic and inter-harmonic frequencies [8].…”