2013
DOI: 10.1177/0954407013496233
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Characterization of knock intensity distributions: Part 1: statistical independence and scalar measures

Abstract: The characterization of knock intensity distributions can provide useful insights into the process and help to improve knock control system designs. In this paper, an extensive statistical analysis is performed on knock intensity data recorded under a broad range of operating conditions. First, the critical issue of whether the data exhibit any cycle-to-cycle correlations is investigated, and it is shown that knock intensity closely approximates a cyclically independent random process. The study then focuses o… Show more

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Cited by 57 publications
(48 citation statements)
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“…While it is possible that degree of cyclic or cylinder-to-cylinder correlation may increase at other conditions due to physical feedback mechanisms such as latent heat from extreme knock, high EGR, or valve timings that give high levels of residual gas, these results suggest that to a reasonable first approximation, the data behaves as a cyclically independent random process on both engine platforms considered. Such a conclusion is also consistent with a more extensive study of cyclic independence on a different engine across a large database of test results, [28].This is important because it means that the knock intensity of the forthcoming cycle is the outcome of an independent random event which by definition cannot be controlled directly. Standard control theory and methods therefore cannot be applied, and some form of stochastic control is necessary in order to control some statistical measure of the distribution from which knock intensities are drawn.…”
Section: Methodssupporting
confidence: 63%
See 1 more Smart Citation
“…While it is possible that degree of cyclic or cylinder-to-cylinder correlation may increase at other conditions due to physical feedback mechanisms such as latent heat from extreme knock, high EGR, or valve timings that give high levels of residual gas, these results suggest that to a reasonable first approximation, the data behaves as a cyclically independent random process on both engine platforms considered. Such a conclusion is also consistent with a more extensive study of cyclic independence on a different engine across a large database of test results, [28].This is important because it means that the knock intensity of the forthcoming cycle is the outcome of an independent random event which by definition cannot be controlled directly. Standard control theory and methods therefore cannot be applied, and some form of stochastic control is necessary in order to control some statistical measure of the distribution from which knock intensities are drawn.…”
Section: Methodssupporting
confidence: 63%
“…3. Although it is widely acknowledged that the process is random, it is also important to check whether the data is cyclically uncorrelated, [28]. A correlation analysis was therefore performed on the data from both engines based on 200 cycles of data.…”
Section: Methodsmentioning
confidence: 99%
“…To a reasonable approximation, therefore, the process may be regarded as a cyclically independent process, at least on this engine and within the BL 2 4°... BL+3°range considered. Further details and analysis may be found in Spelina et al 25 The assumption of cyclic independence has a profound impact on knock control systems since it means that the apparent control variable, knock intensity, is a random variable that cannot be predicted or controlled directly. Instead, it is only possible to control some statistical aspect of the knock process or distribution from which these intensities are drawn.…”
Section: Properties Of the Knock Processmentioning
confidence: 99%
“…Prior work has shown that knock intensity and knock events have characteristic statistical properties that can be leveraged for control purposes [9][10][11][12]. Spelina et al [10,11] explored and quantified the statistical characteristics of the knock process across a broad range of engine operating conditions. Their studies showed that, for the operating points they studied, knock behaved to a good first approximation as a cyclically independent random process.…”
Section: Introductionmentioning
confidence: 99%