2003
DOI: 10.1016/s0959-1524(02)00007-0
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Detection of multiple oscillations in control loops

Abstract: This article addresses the detection of oscillations in measurements from chemical processes including the case when two or more oscillations of different frequency are present simultaneously. The presence of oscillations in selected frequency ranges is determined using a new method based on the regularity of the zero crossings of filtered autocovariance functions. The work is motivated by and illustrated with industrial data that exhibit multiple plant-wide oscillations. Issues of practical implementation in … Show more

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Cited by 212 publications
(173 citation statements)
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“…It can also remove non-stationary low-frequency trends such as those caused by daily temperature variations. For the autocovariance functions, the interference must be removed from both positive and negative frequencies in the two-sided power spectrum before the inverse FFT (Thornhill, Huang, & Zhang, 2002).…”
Section: Autocovariance Pca-formulationmentioning
confidence: 99%
“…It can also remove non-stationary low-frequency trends such as those caused by daily temperature variations. For the autocovariance functions, the interference must be removed from both positive and negative frequencies in the two-sided power spectrum before the inverse FFT (Thornhill, Huang, & Zhang, 2002).…”
Section: Autocovariance Pca-formulationmentioning
confidence: 99%
“…The method of Miao and Seborg, 9 which only considers first one and a half oscillation periods, achieved the correct diagnosis. In contrast to that, the method presented in ref 10, which requires at least 10 oscillation periods in the autocorrelation function to present, was not able to recognize oscillations. The algorithm of Salsbury and Singhal 11 obtained a model, describing fairly well the first period of the autocorrelation function.…”
Section: Results Of the Comparison Of The Proposedmentioning
confidence: 80%
“…In more detail, the approach explores the lengths and the areas of the subsequent upper and lower half-periods. Miao and Seborg 9 consider the decay ratio of the autocorrelation function of the signal, and Thornhill et al 10 method is based on the regularity of zerocrossings in the autocorrelation function. Salsbury and Singhal 11 compute the damping factor of the second-order ARMA model identified from the autocorrelation function.…”
Section: Introductionmentioning
confidence: 99%
“…Oscillation analysis: The purpose of oscillation analysis [6,7] is to characterize the oscillations present in the data set. It determines the intervals between zero crossings of the autocovariance function and the regularity of the zero crossings.…”
Section: Oscillation Analysismentioning
confidence: 99%