2011
DOI: 10.1016/j.measurement.2011.05.014
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Characterization of electrical sags and swells using higher-order statistical estimators

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Cited by 43 publications
(37 citation statements)
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“…This length is a complete number of cycles of the base sinusoid of the power signal. Statistical distribution of signal points will be the same, and consequently, all moments will be the same [16] . So a window, with a length exactly a complete number of cycles of the base frequency of the power signal, in this work one cycle has been selected, is taken and swept along the signal.…”
Section: Hos and Pq Indexmentioning
confidence: 99%
“…This length is a complete number of cycles of the base sinusoid of the power signal. Statistical distribution of signal points will be the same, and consequently, all moments will be the same [16] . So a window, with a length exactly a complete number of cycles of the base frequency of the power signal, in this work one cycle has been selected, is taken and swept along the signal.…”
Section: Hos and Pq Indexmentioning
confidence: 99%
“…Cumulants, defined in the Equation 6, are estimated by using the well-known Leonov-Shiryaev formula, which expresses the compact relationship among the cumulants of stochastic signals and their moments [9]. In this sense, the expressions for the second-, third-, and fourth-order cumulants for a real, random, and zero-mean (central cumulants) time series x(t) can be estimated via:…”
Section: Appendixmentioning
confidence: 99%
“…The same authors performed the classification of single and multiple disturbances using HOS in the time domain and Bayes' theory-based techniques [8]. HOS techniques and estimators have also been implemented to specifically detect sags and swells [9].…”
Section: Introductionmentioning
confidence: 99%
“…It is worthy to mention, at this juncture, that in AC network source voltages are relatively pure sinusoidal waveforms and that it is mostly at the transmission and distribution end that harmonic and other forms of distortions are introduced. The use of statistical estimators to detect distortions like sags and swells using synthetics analysis that allowed the identification of the variance, skewness, and kurtosis associated with normal sinusoidal waveforms was proposed in [18]. The increase use of nonlinear loads like computers, fluorescent lamps, adjustable speed drive motors, arc furnaces, arc welding machines, electronic control and power converters among others cause harmonics.…”
Section: Walsh Function Algorithmmentioning
confidence: 99%