- Asked 3/20
- 2075 Baisakh · 12 marks
Department store 36 × 15 m LED panel lighting
Short answer
Mounting height3 m. N = (200 ×540) / (4800 ×0.64) =36 luminaires arranged 9 ×4. Distribution board: 32 A TPN MCB incomer, 40 A RCCB, 6 A SP MCBs for six lighting circuits, 20 A SP MCBs for power circuits.
A department store 36m × 15m is illuminated by 45W by LED panel light of output 4800 lumens. The lamp being mounted at a height of 3m from the working plane, the average illumination required is 200 lux. Calculate the number of luminaries required to be fitted in the department store, assuming the coefficient of utilization to be 0.8 and maintenance factor to be 0.8. Also design distribution board and layout of lamps, switches power sockets and sub-circuits, if the supply system is 3-Phase, 400V, 50 Hz.
Given: store 36 m × 15 m, 45 W LED panel giving 4800 lm, Hm = 3 m, E = 200 lux, CU = 0.8, MF = 0.8, supply 400 V, 3-phase, 50 Hz. Assumptions: SHR ≤ 1.5 (so spacing ≤ 4.5 m); 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 = 36 × 15 = 540 m²
φ per luminaire = 4800 lm
Total lumens = E × A / (UF × MF)
= 200 × 540 / (0.8 × 0.8)
= 168750 lm
N = 168750 / 4800 = 35.16
Rounding up and fitting a regular grid: 9 × 4 = 36 luminaires (9 along the 36 m side, 4 along the 15 m side).
Arrangement and spacing
Spacing along length = 36/9 = 4 m
Spacing along width = 15/4 = 3.75 m
End spacing (to wall) = half of these
Max spacing = SHR × Hm = 1.5 × 3 = 4.5 m
4 m and 3.75 m ≤ 4.5 m → OK
Actual E = 36 × 4800 × 0.8 × 0.8 / 540
= 204.8 lux (≥ 200 lux required)
Layout diagram
Plan 36 m × 15 m (letter = phase of lamp circuit)
+-------------------+
| R R R R R R Y Y Y |
| B B B B B B Y Y Y |
| R R R R R R Y Y Y |
| B B B B B B 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 | 6 | 270 | 1.3 | R | 6 A |
| L2 | 6 | 270 | 1.3 | Y | 6 A |
| L3 | 6 | 270 | 1.3 | B | 6 A |
| L4 | 6 | 270 | 1.3 | R | 6 A |
| L5 | 6 | 270 | 1.3 | Y | 6 A |
| L6 | 6 | 270 | 1.3 | 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, P1, P4 | 4540 | 21.93 |
| Y | L2, L5, P2, P5 | 4540 | 21.93 |
| B | L3, L6, P3, P6 | 4540 | 21.93 |
Connected load = 1620 W light + 12000 W power = 13620 W
Most loaded phase = 4540 W
Iph = 4540 / (230 × 0.9) = 21.93 A
Main MCB ≥ 1.25 × 21.93 = 27.42 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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