Sliding window recursive DFT with dyadic downsampling — A new strategy for time-varying power harmonic decomposition

Abstract

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A survey of techniques applied to non-stationary waveforms in electrical power systems

“…In [6], for example, a method based on the formulas derived from the analysis of errors of the DFT is present and good results are archived, but the proposed tracking is focused only on the fundamental component. In [24], a sliding-window recursive DFT is proposed and it is further improved in [25] by the usage of a downsampling operator before the extraction of each group of harmonics to be analyzed. Good results are presented in [24] and better ones in [25], but both proposals are vulnerable to frequency variation and interharmonics.…”

“…In [24], a sliding-window recursive DFT is proposed and it is further improved in [25] by the usage of a downsampling operator before the extraction of each group of harmonics to be analyzed. Good results are presented in [24] and better ones in [25], but both proposals are vulnerable to frequency variation and interharmonics. In [26], a hybrid method that uses both STFT and Wavelet Multi-resolution Analysis (MRA) [27] is proposed to the study of transient waveforms.…”

“…-tracking of individual waveforms; -based on sliding-window recursive DFT; -no phase delay [25]; -vulnerable to frequency variation and interharmonics; -better results than the original DFT. [26] -analysis of transient waveforms; -uses the DWT and the STFT; -applies the concept of group of harmonics; -inherits the limitations of the STFT; -higher computation effort than the DFT.…”

Some advanced parametric methods for assessing waveform distortion in a smart grid with renewable generation

“…Many solutions have been proposed in the relevant literature to overcome the spectral leakage problems by using DFT-based methods or parametric methods, such as Prony and Estimation of Signal Parameters by Rotational Invariance Technique (ESPRIT) [24][25][26][27][28][29][30]. In particular, in [27,28], the Sliding-Window Prony method and the Sliding-Window ESPRIT method were used to provide an accurate estimation of both the harmonic and interharmonic components with high-frequency resolution, but the computational burden was excessive.…”

Smart signal processing for an evolving electric grid

“…These signals are injected sequentially including silence space of one cycle between two consecutive MGS signals. After the injection of each modulated signal, the SWRDFT [14] is used to process the signals and extract the impedance at modulated frequency. The main advantage of this methodology is that instead of injecting a single signal that has energy in a large frequency range, small signals are injected in different frequencies, so it is possible to have control of all spectra of interest.…”