Field calculation tool · Gas systems

SF6 liquefaction temperature

The coldest temperature a filling pressure will tolerate before liquid forms

Sulphur hexafluoride condenses well within the ambient range of an outdoor substation. Once it does, pressure stops tracking density, the density switch stops meaning what it is supposed to mean, and dielectric strength falls with the gas that has left the gas phase. Enter a filling pressure to find where that boundary sits.

Saturation point

Gauge pressure — atmospheric will be added
Nameplate filling pressures are usually quoted absolute; site gauges read gauge.
The coldest gas temperature the equipment will see in service.
Standard 101.325 kPa at sea level. Lower it for altitude.
Liquefaction temperature
Margin to lowest expected temperature
01

Saturation pressure across the range

The saturation vapour pressure at each temperature. A charge held at or above the value in this table for a given temperature will contain liquid at that temperature.

TemperatureSaturation pressure — absolute— gauge
02

Method and scope

Sulphur hexafluoride is used well below its critical temperature, so at a high enough density it will condense. The boundary is the saturation vapour pressure curve: at any temperature, a charge cannot exceed the saturation pressure without part of it becoming liquid.

pσ = pc · exp[ (Tc/T) · (N₁τ + N₂τ1.5 + N₃τ2 + N₄τ4) ]
τ = 1 − T/Tc

This is the vapour-pressure equation published by Funke, Kleinrahm and Wagner (2009), using the critical point Tc = 45.573 °C, pc = 3755 kPa and the triple point at −49.595 °C, 227.5 kPa. The liquefaction temperature for a given pressure is obtained by solving the same equation numerically.

The implementation was checked against the published saturation table at 5 °C intervals from −50 to +45 °C; agreement is within 0.01 % at every point.

Why this matters in service

  • Below the liquefaction point, pressure stops tracking density. Once liquid forms, the pressure is fixed by the saturation curve regardless of how much gas is in the enclosure. A density-compensated switch loses its meaning, and a gauge reading no longer tells you whether the charge is intact.
  • Dielectric strength falls with the gas that has condensed out. The insulating capability depends on the density of the gas phase, which stops rising once saturation is reached.
  • Cold climates set the filling pressure ceiling. This is why equipment for cold sites is filled to a lower pressure, or filled with an SF6 mixture whose partial pressure keeps it clear of the curve.

What this assumes

  • Pure SF6. For SF6/N2 or SF6/CF4 mixtures it is the SF6 partial pressure that must stay below the curve, not the total. A mixture tool is in preparation.
  • Gas temperature, not air temperature. The relevant figure is the coldest temperature the gas itself reaches, which lags ambient and can differ from it in sun or after a load change.
  • Equilibrium. The curve describes the equilibrium boundary; condensation in a real enclosure starts at the coldest local surface, which may be colder than the bulk gas.
  • Range. Valid between the triple point (−49.6 °C) and the critical point (45.6 °C). There is no liquefaction above the critical temperature at any pressure.

Design margin is an engineering decision, not an output of this calculation. Equipment specifications commonly require the liquefaction temperature to sit a stated margin below the minimum ambient design temperature. Work to the equipment manufacturer's stated minimum operating temperature and filling curve, and use this tool to check and understand them, not to replace them.

Provided for reference and cross-checking. Does not replace equipment manufacturers' filling curves, nameplate data or operating instructions. Version 1.0. Source: R. Funke, R. Kleinrahm and W. Wagner, vapour-pressure equation for SF6, 2009.

About HVPACE

HVPACE is the trading name of Power Asset Condition Engineering Limited, a New Zealand-based supplier of test and diagnostic instruments and selected specialty equipment for high-voltage power systems, backed by hands-on engineering expertise in condition assessment and diagnostics.

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HVPACE is the trading name of Power Asset Condition Engineering Limited (NZBN 9422724), Auckland, New Zealand.