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Drawing hall 40 × 20 × 6 m lighting design

Short answer

Mounting height above working plane: 4 m. Number of 40 W LED luminaires: 45, arranged in a 9 ×5 grid. Distribution board: 32 A TPN incomer, 40 A RCCB, 6 A SP MCBs for six lighting circuits, 20 A SP MCBs for power sockets.

A drawing hall 40m×20m×6m is to be illuminated with metal filament gas filled lamps to an average illumination of 150 lm/m² on a working plane 1m above the floor. Estimate suitable number, size and mounting height of lamps. Assume coefficient of utilization of 0.8, depreciation factor of 1.2. Size of lamps is 40 Watt LED panel light and luminous efficiency of lamp 100 lm/watt. Draw layout diagram showing arrangement of luminaries, switches, power socket and distribution board. Assume the supply system to be 3-phase, 400V, 50Hz.

Given: hall 40 m × 20 m × 6 m, E = 150 lm/m² on a working plane 1 m above floor, CU = 0.8, depreciation factor 1.2, 40 W LED panel at 100 lm/W (the question's "metal filament" lamp is replaced by this LED panel as stated). Assumptions: luminaires suspended 1 m below the 6 m ceiling, i.e. at 5 m above floor, so mounting height above working plane Hm = 5 − 1 = 4 m; SHR ≤ 1.5; pf 0.9; 12 power sockets of 16 A (1 kW each) along the walls.

Number of luminaires

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

Area A        = 40 × 20 = 800 m²
φ per luminaire = 40 W × 100 lm/W = 4000 lm
MF            = 1/DF = 1/1.2 = 0.833
Total lumens  = E × A × DF / UF
              = 150 × 800 × 1.2 / 0.8
              = 180000 lm
N             = 180000 / 4000 = 45

Rounding up and fitting a regular grid: 9 × 5 = 45 luminaires (9 along the 40 m side, 5 along the 20 m side).

Arrangement and spacing

Spacing along length = 40/9 = 4.44 m
Spacing along width  = 20/5 = 4 m
End spacing (to wall) = half of these
Max spacing = SHR × Hm = 1.5 × 4 = 6 m
4.44 m and 4 m ≤ 6 m  → OK
Actual E = 45 × 4000 × 0.8 × 0.833 / 800
         = 150 lux (≥ 150 lux required)

Layout diagram

Plan 40 m × 20 m (letter = phase of lamp circuit)
+-------------------+
| R R R R R R R R Y |
| B B Y Y Y Y Y Y Y |
| 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 40 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
L183201.55R6 A
L283201.55Y6 A
L383201.55B6 A
L472801.35R6 A
L572801.35Y6 A
L672801.35B6 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, P1, P4460022.22
YL2, L5, P2, P5460022.22
BL3, L6, P3, P6460022.22
Connected load = 1800 W light + 12000 W power = 13800 W
Most loaded phase    = 4600 W
Iph = 4600 / (230 × 0.9) = 22.22 A
Main MCB ≥ 1.25 × 22.22 = 27.78 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  ...

Result: 45 LED panels of 40 W each, mounted at 5 m above floor (Hm = 4 m) in a 9 × 5 grid.

✓ Answer checked by Claude Opus 5.5 (high effort)

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