Diagnostic Simplexes for Dissolved-Gas Analysis

James Dukarm, Zachary Draper and Tomasz Piotrowski
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James Dukarm: Delta-X Research Inc., Victoria, BC V8R6T4, Canada
Zachary Draper: Delta-X Research Inc., Victoria, BC V8R6T4, Canada
Tomasz Piotrowski: Institute of Electrical Power Engineering, Lodz University of Technology, 90-924 Lodz, Poland

Energies, 2020, vol. 13, issue 23, 1-16

Abstract: A Duval triangle is a diagram used for fault type identification in dissolved-gas analysis of oil-filled high-voltage transformers and other electrical apparatus. The proportional concentrations of three fault gases (such as methane, ethylene, and acetylene) are used as coordinates to plot a point in an equilateral triangle and identify the fault zone in which it is located. Each point in the triangle corresponds to a unique combination of gas proportions. Diagnostic pentagons published by Duval and others seek to emulate the triangles while incorporating five fault gases instead of three. Unfortunately the mapping of five gas proportions to a point inside a two-dimensional pentagon is many-to-one; consequently, dissimilar combinations of gas proportions are mapped to the same point in the pentagon, resulting in mis-diagnosis. One solution is to replace the pentagon with a four-dimensional simplex, a direct generalization of the Duval triangle. In a comparison using cases confirmed by inspection, the simplex outperformed three ratio methods, Duval triangle 1, and two pentagons.

Keywords: Duval triangle; Duval pentagon; Mansour pentagon; barycentric; simplex; fault type (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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