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.
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.
| Temperature | Saturation pressure — absolute | — gauge |
|---|
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.
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.
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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