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9.6 kW cooker + socket, HMO kitchen, 27 m, 35 °C, 3 circuits grouped
StepResultWhere from
Device requirements30 mA RCD + AFDD → RCBO with AFDDRegs 411.3.3, 522.6.202, 421.1.7
Cable type70 °C thermoplastic T&ETable 4A1
Installation methodsB (trunking) · A (insulating wall)Table 4A2
Ib full load9600 ÷ 230 = 41.7 AP ÷ V
Ib after diversity24.5 AOSG Table A2
In32 A Type B(OSG Table B6 lists sizes)
Ca · Cg0.94 · 0.7Tables 4B1 · 4C1
It needed32 ÷ (0.94 × 0.7) = 48.6 AApp 4 formula
Cable16 mm² T&E, 57 A (Method A)Table 4D5
Voltage drop1.85 V ≤ 11.5 V ✓Table 4D5 · Table 4Ab
OverloadIz 37.5 A · I2 46.4 A ≤ 54.4 A ✓Reg 433.1.1
R1 + R24.23 × 1.2 × 27 ÷ 1000 = 0.137 ΩGN3 Tables B1, B3
Zs0.26 + 0.137 = 0.397 Ω ≤ 1.37 Ω ✓Table 41.3
Max disconnection time0.4 sTable 41.1
PEFC230 × 0.95 ÷ 0.397 = 550.4 AOhm's law with Cmin
Ia160 A → trips in 0.1 s ✓App 3 Fig 3A4
Adiabatic1.51 mm² min · 6 mm² CPC ✓Table 54.3 (k = 115)
Sparky's closing tip
Try the blank scenario yourself, and make your own version the same way. Change the load, the length, Ze, the grouping or the temperature and work it through. It looks hard, but it's a logical step-by-step process. Apart from the adiabatic equation, it's no harder than Ohm's law. Not many electricians could design a circuit like this without serious revision. The aim is to get "robotic" about it.

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