- Asked 3/20
- 2073 Bhadra · 12 marks
Drawing hall 40 × 25 × 6 m, 250 lux LED
Short answer
96 LED luminaires (12×8 grid) at 4m mounting height provide 259 lux. Twelve 6A lighting sub-circuits (8 luminaires each) and six 20A power sub-circuits (2 sockets each) balanced across three phases. DB: 40A TPN MCB incomer, 40A 4P RCCB (100mA), 6A/20A SP MCBs, 4-core 6mm² Cu incoming cable.
A drawing hall 40m×25m×6m high is to be illuminated with LED lamps to an average illumination of 250 lux on a working plane 1 m 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 lamp is 45 watt and luminous efficiency of lamp is 90 lm/Watt. Draw layout diagram showing arrangement of luminaries, switches, power socket and distribution board. Design 3-phase distribution system, if supply system is 400 V, 150 Hz.
Given: hall 40 m × 25 m × 6 m, E = 250 lux on a plane 1 m above floor, CU = 0.8, depreciation factor 1.2, 45 W LED at 90 lm/W. The supply "400 V, 150 Hz" is read as 400 V, 50 Hz (standard frequency in Nepal). Assumptions: lamps suspended 1 m below ceiling → 5 m above floor, so Hm = 4 m; 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 = 40 × 25 = 1000 m²
φ per luminaire = 45 W × 90 lm/W = 4050 lm
MF = 1/DF = 1/1.2 = 0.833
Total lumens = E × A × DF / UF
= 250 × 1000 × 1.2 / 0.8
= 375000 lm
N = 375000 / 4050 = 92.59
Rounding up and fitting a regular grid: 12 × 8 = 96 luminaires (12 along the 40 m side, 8 along the 25 m side).
Arrangement and spacing
Spacing along length = 40/12 = 3.33 m
Spacing along width = 25/8 = 3.13 m
End spacing (to wall) = half of these
Max spacing = SHR × Hm = 1.5 × 4 = 6 m
3.33 m and 3.13 m ≤ 6 m → OK
Actual E = 96 × 4050 × 0.8 × 0.833 / 1000
= 259.2 lux (≥ 250 lux required)
Layout diagram
Plan 40 m × 25 m (letter = phase of lamp circuit)
+-------------------------+
| R R R R R R R R Y Y Y Y |
| B B B B B B B B Y Y Y Y |
| R R R R R R R R Y Y Y Y |
| B B B B B B B B Y Y Y Y |
| R R R R R R R R Y Y Y Y |
| B B B B B B B B Y Y Y Y |
| R R R R R R R R Y Y Y Y |
| B B B B B B B B Y Y Y Y |
+-------------------------+
[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 45 W, so up to 10 luminaires per sub-circuit. Number of circuits is made a multiple of 3 for phase balance.
| Circuit | Luminaires | Load (W) | Current (A) | Phase | MCB |
|---|---|---|---|---|---|
| L1 | 8 | 360 | 1.74 | R | 6 A |
| L2 | 8 | 360 | 1.74 | Y | 6 A |
| L3 | 8 | 360 | 1.74 | B | 6 A |
| L4 | 8 | 360 | 1.74 | R | 6 A |
| L5 | 8 | 360 | 1.74 | Y | 6 A |
| L6 | 8 | 360 | 1.74 | B | 6 A |
| L7 | 8 | 360 | 1.74 | R | 6 A |
| L8 | 8 | 360 | 1.74 | Y | 6 A |
| L9 | 8 | 360 | 1.74 | B | 6 A |
| L10 | 8 | 360 | 1.74 | R | 6 A |
| L11 | 8 | 360 | 1.74 | Y | 6 A |
| L12 | 8 | 360 | 1.74 | B | 6 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.
| Circuit | Sockets | Load (W) | Phase | MCB |
|---|---|---|---|---|
| P1 | 2 | 2000 | R | 20 A |
| P2 | 2 | 2000 | Y | 20 A |
| P3 | 2 | 2000 | B | 20 A |
| P4 | 2 | 2000 | R | 20 A |
| P5 | 2 | 2000 | Y | 20 A |
| P6 | 2 | 2000 | B | 20 A |
Distribution board design
| Phase | Circuits | Load (W) | Current (A) |
|---|---|---|---|
| R | L1, L4, L7, L10, P1, P4 | 5440 | 26.28 |
| Y | L2, L5, L8, L11, P2, P5 | 5440 | 26.28 |
| B | L3, L6, L9, L12, P3, P6 | 5440 | 26.28 |
Connected load = 4320 W light + 12000 W power = 16320 W
Most loaded phase = 5440 W
Iph = 5440 / (230 × 0.9) = 26.28 A
Main MCB ≥ 1.25 × 26.28 = 32.85 A → 40 A TPN MCB
DB specification: 8-way-per-phase TPN DB (24 ways in all, spares included) with 40 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 ≥ 40 A), plus earth continuity conductor.
3-phase, 400/230 V, 4-wire supply
|
[Energy meter]
|
[40 A TPN MCB]
|
[40 A 4P RCCB]
|
==R====Y====B====N== busbars
| | | | |
L1 L2 L3 P1 P2 ...
Result: 96 LED lamps of 45 W, at 5 m above floor (Hm = 4 m), 12 × 8 grid.
✓ Answer checked by Claude Opus 5.5 (high effort)
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