2015
DOI: 10.1109/tpwrs.2014.2377180
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A Fourier Based Wavelet Approach Using Heisenberg’s Uncertainty Principle and Shannon’s Entropy Criterion to Monitor Power System Small Signal Oscillations

Abstract: This paper presents a novel approach to estimate modal parameters of power systems for monitoring and analyzing the embedded modes of small signal oscillations. The proposed approach applies continuous wavelet transform (CWT) to identify damping and frequency of critical modes based on its time-frequency localization capability. The CWT has modified Morlet function as its mother wavelet. A procedure is also presented to fine-tune settings of the modified Morlet function of the CWT based on Heisenberg's uncerta… Show more

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Cited by 37 publications
(21 citation statements)
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“…Generally, the use of transient features requires the implementation of signal processing such as DWT or S-transform at the high sampling rate to capture the transient effects. In electrical transient analyses, these wavelet multi-resolution analysis (WMRA) techniques are useful to monitor power system small signal oscillations, power quality (PQ), and electric power disturbance [16][17][18][19]. For example, Energies 2017, 10, 611 3 of 20 the authors [19] employed harmonic voltages and wavelet coefficients as PQ features for placement of power quality measurement facilities to identify PQ problems.…”
Section: Introductionmentioning
confidence: 99%
“…Generally, the use of transient features requires the implementation of signal processing such as DWT or S-transform at the high sampling rate to capture the transient effects. In electrical transient analyses, these wavelet multi-resolution analysis (WMRA) techniques are useful to monitor power system small signal oscillations, power quality (PQ), and electric power disturbance [16][17][18][19]. For example, Energies 2017, 10, 611 3 of 20 the authors [19] employed harmonic voltages and wavelet coefficients as PQ features for placement of power quality measurement facilities to identify PQ problems.…”
Section: Introductionmentioning
confidence: 99%
“…WE is a new method developed to analyze transient features of complicated signals (Hosseini et al, 2015; Phillips et al, 2015; Sun, 2015), such as the brain image in this study. The value of WE has a physical meaning of the order/disorder degree of the signal with multiscale time-frequency resolution.…”
Section: Methodsmentioning
confidence: 99%
“…We employed WE to extract features from car images. WE combines wavelet transform and entropy calculation [7]. The continuous wavelet transform (CWT) is defined as follows:…”
Section: A Wavelet Entropymentioning
confidence: 99%