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Diagnostic Simplexes for Dissolved-Gas Analysis

Author

Listed:
  • 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)

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.

Suggested Citation

  • James Dukarm & Zachary Draper & Tomasz Piotrowski, 2020. "Diagnostic Simplexes for Dissolved-Gas Analysis," Energies, MDPI, vol. 13(23), pages 1-16, December.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:23:p:6459-:d:457942
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    References listed on IDEAS

    as
    1. Luiz Cheim & Michel Duval & Saad Haider, 2020. "Combined Duval Pentagons: A Simplified Approach," Energies, MDPI, vol. 13(11), pages 1-12, June.
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    Cited by:

    1. Jonathan Velasco Costa & Diogo F. F. da Silva & Paulo J. Costa Branco, 2022. "Large-Power Transformers: Time Now for Addressing Their Monitoring and Failure Investigation Techniques," Energies, MDPI, vol. 15(13), pages 1-59, June.

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