Duval Triangle

Available

Graphical fault classification using CH₄, C₂H₄, and C₂H₂ ratios.

What it does

The Duval Triangle classifies active faults inside oil-filled transformers by looking at the ratio of three fault gases — methane (CH₄), ethylene (C₂H₄), and acetylene (C₂H₂) — and plotting that ratio on a ternary diagram. The point’s zone on the triangle maps to one of seven fault types, ranging from partial discharge at low energy through to high-energy arcing.

T1T2T3DTD1D2PD%CH₄ →%C₂H₄ →← %C₂H₂
Duval Triangle 1 — the seven fault zones on the %CH₄ / %C₂H₄ / %C₂H₂ ternary diagram.

Developed by Michel Duval in the 1970s and refined since, the method is reproduced in IEEE C57.104-2019 and IEC 60599 as a first-line screening tool. It works because the three gases respond to fault energy differently — acetylene appears only at temperatures high enough to imply arcing, methane dominates in thermal faults below a few hundred degrees, and ethylene climbs as thermal activity intensifies.

The gases it uses

  • CH₄ · methane

    Dominant product of low-temperature thermal activity and oil overheating.

  • C₂H₄ · ethylene

    Rises with thermal fault temperature — a high-ethylene profile implies hot-metal contact.

  • C₂H₂ · acetylene

    Effectively a marker for arcing. Any appreciable acetylene pushes the call toward the D1 or D2 zone.

The seven fault zones

A classified sample lands in exactly one of these zones. The severity column is the app’s 1–5 ranking — used to color the diagnosis card and the trend chips — not a Duval designation.

CodeFaultSeverity
PDPartial dischargeWatch
T1Thermal fault, low temperature (< 300 °C)Watch
T2Thermal fault, medium temperature (300–700 °C)Developing
T3Thermal fault, high temperature (> 700 °C)Active thermal fault
DTMixed thermal and electrical faultDeveloping
D1Low-energy dischargeSparking
D2High-energy dischargeArcing

When to reach for it

The Duval Triangle is the right first diagnostic tool once the three key gases add up to something measurable. This app withholds a classification when CH₄ + C₂H₄ + C₂H₂ is below 10 ppm total — below that floor the percentages swing wildly on lab noise and the call isn’t trustworthy.

It’s designed for mineral-oil transformers. Natural-ester fluids (FR3 and similar) have different thermal gassing signatures, and applying Triangle 1 to them without care will bias the call toward T2/T3 territory. Duval later authored dedicated triangles for ester fluids; we’ll add those as separate models rather than branching this one.

Strengths and limits

Strengths: the Triangle almost always produces a fault call once gases are detectable, and it’s robust to sample-to-sample variation. Two labs reporting the same oil usually end up in the same zone even when their absolute ppm values differ.

Limits: Triangle 1 can’t distinguish arcing in paper insulation from arcing in oil alone, can’t flag stray gassing from certain oil additives, and doesn’t speak to cellulose ageing (that’s CO/CO₂ territory). Used as the first diagnostic tool and combining it with the Duval Pentagon, Rogers Ratio, and a trend across multiple samples is how the final diagnosis actually gets made in practice.

References

  • IEEE Std C57.104-2019, Guide for the Interpretation of Gases Generated in Mineral Oil-Immersed Transformers (Annex G covers the Triangle).
  • IEC 60599:2022, Mineral oil-filled electrical equipment in service — Guide to the interpretation of dissolved and free gases analysis.
  • M. Duval, “A review of faults detectable by gas-in-oil analysis in transformers,” IEEE Electrical Insulation Magazine, 2002.