2001
DOI: 10.1109/mper.2001.4311111
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Time-Varying Harmonics: Part II-Harmonic Summation and Propagation

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Cited by 24 publications
(19 citation statements)
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“…Pursuing comprehensiveness, flexibility and practicality for implementing a supporting tool of the approach, this research proposes a statistical modeling and planning study methodology for investigating the stochastic harmonics and resonance concerns of WPPs. We observe that existing methods, such as random harmonic phasor summation [21] or harmonic summation introduced in the standard IEC 61400-21, are unable to fully capture the harmonic behavior of modern WPPs, and the results from both methods could be misleading [22][23][24]. By incorporating the statistical distribution of each harmonic component of interest from WTs and representing the overall time-varying harmonic behavior of WPPs, system planners can synthesize credible operating scenarios and investigate and collectively quantify harmonics and resonance concerns.…”
Section: Introductionmentioning
confidence: 92%
“…Pursuing comprehensiveness, flexibility and practicality for implementing a supporting tool of the approach, this research proposes a statistical modeling and planning study methodology for investigating the stochastic harmonics and resonance concerns of WPPs. We observe that existing methods, such as random harmonic phasor summation [21] or harmonic summation introduced in the standard IEC 61400-21, are unable to fully capture the harmonic behavior of modern WPPs, and the results from both methods could be misleading [22][23][24]. By incorporating the statistical distribution of each harmonic component of interest from WTs and representing the overall time-varying harmonic behavior of WPPs, system planners can synthesize credible operating scenarios and investigate and collectively quantify harmonics and resonance concerns.…”
Section: Introductionmentioning
confidence: 92%
“…In some applications, we encounter a random signal that is composed of the sum of several random sinusoidal signals, e.g., multipath fading in communication channels, clutter and target cross section in radars, interference in communication systems, wave propagation in random media and channels, laser speckle patterns and light scattering and summation of random current harmonics such as the ones produced by high frequency power converters of wind turbines (Baghzouz et al, 2002;Tentzerakis & Papathanassiou, 2007). Any random sinusoidal signal can be considered as a random phasor, i.e., a vector with random length and angle.…”
Section: B) Spectral Power Balance In a Wind Farmmentioning
confidence: 99%
“…) regardless of the individual variable distributions if the number of WTs is sufficiently large [11], [12], and [14]. The mean value and the standard deviation of the aforementioned variables are given by the following:…”
Section: Stochastic Assessment Of Wind Farm Harmonic Currentsmentioning
confidence: 99%
“…According to that and considering ρ X h Y h the correlation coefficient of the variables, the joint pdf of X h and Y h in (1) is a bivariate normal distribution [11], [12], [14], i.e.,…”
Section: Stochastic Assessment Of Wind Farm Harmonic Currentsmentioning
confidence: 99%
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