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Cable size MDB to SDB1 (80 kW) and SDB2 (10 kW)

Short answer

For MDB–SDB1 (80 kW, 10 m), line current 144.34 A, a 3½ core 50 mm² Cu cable is selected; 70 mm² is recommended for safety margin. For MDB–SDB2 (10 kW, 100 m), voltage drop limits the size, requiring a 3½ core 6 mm² Cu cable.

Determine the size of cable used from MDB to SDB1 and SDB2 for following conditions. The total power on the SDB1 and SDB2 are 80 kW and 10 kW respectively. The distance between MDB to SDB1 and SDB2 are 10 m and 100 m respectively. The supply system is 3 phase 4 wire system with 400 volts. Current ratings of Cu conductor laid in ground is given:

Conductor area (sq.mm)1.52.54610162535507095120150
3.5 core cable current rating (A)21273645607799120145175210240270

The cable is first chosen by current rating from the given table, then checked for voltage drop; the larger of the two sizes is selected.

Assumptions: power factor 0.8 (not given), allowed voltage drop 2.5 % of 400 V = 10 V for the MDB–SDB feeder.

Formulas and assumptions

Line current   I  = P / (√3 · V_L · cosφ)
Voltage drop   ΔV = √3 · I · (ρ·L/A) · cosφ
               (reactance neglected)
Min. area      A  = √3 · I · ρ · L · cosφ / ΔV_allowed
ρ (copper)     = 0.0178 Ω·mm²/m

MDB to SDB1 (80 kW, 10 m)

I  = 80 000 / (√3 × 400 × 0.8) = 144.34 A
From table: 50 mm² → 145 A ≥ 144.34 A
ΔV = √3 × 144.34 × 0.0178 × 10 × 0.8 / 50
   = 0.71 V  (0.18 %)  < 10 V  OK

50 mm² is just enough by current; since it runs at almost 100 % of its rating, 70 mm² (175 A) is the safer practical choice.

MDB to SDB2 (10 kW, 100 m)

I  = 10 000 / (√3 × 400 × 0.8) = 18.04 A
From table: 1.5 mm² → 21 A ≥ 18.04 A
ΔV (1.5 mm²) = √3 × 18.04 × 0.0178 × 100 × 0.8 / 1.5
             = 29.67 V (7.42 %)  > 10 V  NOT OK
A_min = √3 × 18.04 × 0.0178 × 100 × 0.8 / 10
      = 4.45 mm²  → next size 6 mm² (45 A)
ΔV (6 mm²) = 7.42 V (1.85 %)  OK
FeederCurrent (A)By currentBy voltage dropSelected
MDB–SDB1144.3450 mm²3.56 mm²50 mm² (70 mm² for margin)
MDB–SDB218.041.5 mm²4.45 mm²6 mm²

Answer: MDB–SDB1: 3½ core 50 mm² Cu (70 mm² recommended for margin); MDB–SDB2: 3½ core 6 mm² Cu. The short heavy feeder is decided by current rating; the long light feeder is decided by voltage drop.

✓ Answer checked by Claude Opus 5.5 (high effort)

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