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Title
Uncertainty Analysis of Two Gas Measurement DGA Ratios for Improved Diagnostics Applications
xmlui.dri2xhtml.METS-1.0.item-contributorOtherinstitution
https://ror.org/00n3w3b69Version
http://purl.org/coar/version/c_ab4af688f83e57aa
Rights
© 2022 IEEEAccess
http://purl.org/coar/access_right/c_abf2Publisher’s version
https://doi.org/10.1109/ICHVE53725.2022.9961491Published at
2022 IEEE International Conference on High Voltage Engineering and Applications (ICHVE) Publisher
IEEEKeywords
Measurement errors
Maximum likelihood estimation
uncertainty
Density measurement ... [+]
Maximum likelihood estimation
uncertainty
Density measurement ... [+]
Measurement errors
Maximum likelihood estimation
uncertainty
Density measurement
Measurement uncertainty
High-voltage techniques
Probability density function [-]
Maximum likelihood estimation
uncertainty
Density measurement
Measurement uncertainty
High-voltage techniques
Probability density function [-]
Abstract
This paper formulates the exact analytical probability density function (PDF) for the ratio of two independent dissolved gas analysis (DGA) measurements that include individual gas measurement errors. ... [+]
This paper formulates the exact analytical probability density function (PDF) for the ratio of two independent dissolved gas analysis (DGA) measurements that include individual gas measurement errors. It is demonstrated that for small DGA gas measurement errors, the correct two-gas ratio PDF approaches a conventional Gaussian distribution. As the measurement accuracy decreases, the ratio PDF becomes non-Gaussian with the maximum likelihood value of the PDF deviating from the true underlying value. For larger errors, the maximum likelihood estimate of the gas ratio deviates significantly from presumed Gaussian statistics. A method for debiasing measured gas ratio values is presented and a simple application is used to demonstrate the proposed approach. [-]
