Maximum Zs values are the highest earth fault loop impedance values at which a protective device (MCB, fuse, or RCBO) will still disconnect the supply within the required time in the event of an earth fault. BS 7671 specifies maximum disconnection times of 0.4 seconds for final circuits and 5 seconds for distribution circuits. The maximum Zs values in the BS 7671 tables are calculated to ensure these disconnection times are achieved.
The calculation is straightforward: the protective device has a time-current characteristic that defines the minimum current at which it will trip within the required time. BS 7671 applies a voltage factor Cmin of 0.95 to the nominal 230 V supply to account for voltage tolerance (per Appendix 3), giving an effective voltage of 218.5 V. Using Ohm's law, the maximum Zs equals this effective voltage divided by the minimum trip current. For example, a Type B 32 A MCB trips magnetically at 5 times its rated current (160 A), giving a maximum Zs of 218.5/160 = 1.37 ohms.
If the actual earth fault loop impedance (Zs) exceeds the maximum permitted value, the fault current will be insufficient to trip the protective device within the required time. This means that in the event of an earth fault, metalwork could remain live at a dangerous voltage for longer than the permitted duration, creating a risk of lethal electric shock.