After selecting the cable based on current-carrying capacity and voltage drop, there is one final check: verifying that the cable can withstand fault current without damage. This uses the adiabatic equation:
k2S2 ≥ I2t
k = Cable factor (115 for PVC/copper line conductor, 143 for PVC/copper CPC)
S = Cross-sectional area of the conductor in mm2
I = Prospective fault current in amps
t = Disconnection time of the protective device in seconds
If k2S2 is greater than or equal to I2t, the cable can withstand the fault current. If not, the cable must be upsized. In practice, this check rarely fails for domestic installations because the prospective fault current is relatively low and the disconnection times are fast. However, it is an essential check on commercial and industrial installations where fault levels can be significantly higher.
Site verification — Zs and the 0.8 factor: When verifying earth fault loop impedance (Zs) on site during initial verification, the measured value must satisfy Zs(measured) < 0.8 × the maximum tabulated Zs value. The 0.8 multiplier (per BS 7671 Reg 411.4.4 / 411.5.4 and Reg 253.0) accounts for the fact that conductor resistance increases with temperature — a cable at full load is hotter than at the ambient conditions when measured. Measured Zs values that pass at ambient but exceed 80% of the tabulated maximum will fail under load; always apply the 0.8 factor before recording compliance.
For more detail, see the adiabatic equation calculator guide.
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