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Industry room 30 × 20 m LED lighting and DB

Short answer

63 LED luminaires (9×7 grid) provide 303 lux. Nine 6A lighting sub-circuits (7 luminaires each) and six 20A power sub-circuits (2 sockets each) balanced across three phases. DB: 32A TPN MCB incomer, 40A 4P RCCB (100mA), 6A/20A SP MCBs, 4-core 6mm² Cu incoming cable.

The size of the industry room is 30m × 20m and it is illuminated by 42 W LED lamp. The efficiency of lamp is 110 lumen/watt and the distance between working plane and mounting height of luminaries is 3 meters. The coefficient of utilization and depreciation factor are 0.75 and 1.2 respectively. Calculate the number of luminaries for the industrial room. Draw neat sketch showing the arrangement of lamps, switches, power sockets and decide the light and power sub-circuits. Design the distribution board to supply lighting loads and power if the supply system is 3 phase, 400V and 50 Hz.

Given: room 30 m × 20 m, 42 W LED at 110 lm/W, Hm = 3 m, CU = 0.75, depreciation factor 1.2, supply 400 V, 3-phase, 50 Hz. Assumptions: the required illumination is not given, so E = 300 lux is taken (medium industrial work, IS 3646); SHR ≤ 1.5; pf 0.9; 12 power sockets of 16 A (1 kW each).

Number of luminaires

Lumen method: N = (E × A) / (φ × UF × MF), where φ is the output of one luminaire.

Area A        = 30 × 20 = 600 m²
φ per luminaire = 42 W × 110 lm/W = 4620 lm
MF            = 1/DF = 1/1.2 = 0.833
Total lumens  = E × A × DF / UF
              = 300 × 600 × 1.2 / 0.75
              = 288000 lm
N             = 288000 / 4620 = 62.34

Rounding up and fitting a regular grid: 9 × 7 = 63 luminaires (9 along the 30 m side, 7 along the 20 m side).

Arrangement and spacing

Spacing along length = 30/9 = 3.33 m
Spacing along width  = 20/7 = 2.86 m
End spacing (to wall) = half of these
Max spacing = SHR × Hm = 1.5 × 3 = 4.5 m
3.33 m and 2.86 m ≤ 4.5 m  → OK
Actual E = 63 × 4620 × 0.75 × 0.833 / 600
         = 303.2 lux (≥ 300 lux required)

Layout diagram

Plan 30 m × 20 m (letter = phase of lamp circuit)
+-------------------+
| R R R R R R R Y Y |
| B B B B Y Y Y Y Y |
| B B B R R R R R R |
| B Y Y Y Y Y Y Y R |
| B B B B B B R R R |
| Y Y Y Y Y R R R R |
| Y Y B B B B B B B |
+-------------------+
[DB]  [SB]  <- entrance: DB and switch board
       S S S S ... one switch per sub-circuit

Each light sub-circuit is controlled by one 6 A one-way switch; all switches are grouped on a switch board (SB) next to the entrance, and the DB is mounted beside it. Power sockets (16 A, 3-pin, with earth) are placed along the walls at about 1 m height, spaced roughly evenly.

Sub-circuits

Rule (IS 732 / NEA practice): a light sub-circuit carries at most 10 points and 800 W. Here one luminaire is 42 W, so up to 10 luminaires per sub-circuit. Number of circuits is made a multiple of 3 for phase balance.

CircuitLuminairesLoad (W)Current (A)PhaseMCB
L172941.42R6 A
L272941.42Y6 A
L372941.42B6 A
L472941.42R6 A
L572941.42Y6 A
L672941.42B6 A
L772941.42R6 A
L872941.42Y6 A
L972941.42B6 A

Power sub-circuits (assumed): 12 sockets of 16 A, each taken as 1 kW, at most 2 sockets per power sub-circuit (IS 732), 2.5 mm² Cu wire, 20 A MCB.

CircuitSocketsLoad (W)PhaseMCB
P122000R20 A
P222000Y20 A
P322000B20 A
P422000R20 A
P522000Y20 A
P622000B20 A

Distribution board design

PhaseCircuitsLoad (W)Current (A)
RL1, L4, L7, P1, P4488223.58
YL2, L5, L8, P2, P5488223.58
BL3, L6, L9, P3, P6488223.58
Connected load = 2646 W light + 12000 W power = 14646 W
Most loaded phase    = 4882 W
Iph = 4882 / (230 × 0.9) = 23.58 A
Main MCB ≥ 1.25 × 23.58 = 29.48 A → 32 A TPN MCB

DB specification: 6-way-per-phase TPN DB (18 ways in all, spares included) with 32 A TPN MCB as incomer, 40 A 4-pole RCCB (100 mA) for earth-leakage protection, 6 A SP MCBs (B-curve) for light circuits and 20 A SP MCBs for power circuits. Incoming cable: 4-core 6 mm² Cu PVC (rating 45 A ≥ 32 A), plus earth continuity conductor.

3-phase, 400/230 V, 4-wire supply
        |
   [Energy meter]
        |
   [32 A TPN MCB]
        |
   [40 A 4P RCCB]
        |
==R====Y====B====N== busbars
  |    |    |    |    |
  L1   L2   L3   P1   P2  ...

✓ Answer checked by Claude Opus 5.5 (high effort)

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