Why calculate illuminance
Lighting is not "hang a chandelier and done". Insufficient illuminance leads to eye strain, reduced productivity, and even accidents. Excessive — energy waste and discomfort. The electrical engineer must be able to calculate illuminance precisely.
In Russia, calculations follow SP 52.13330.2016. In India — IS 3646 (Parts 1-3). Both use the utilization factor method. Let's work through a concrete example.
Initial data
Room: kitchen 12 m² (4 × 3 m), ceiling height 2.7 m. Finishes: light wallpaper (walls 50%), white ceiling (70%), porcelain floor tiles (30%). Purpose: cooking, dining — required illuminance 200 lux (SP 52.13330 / IS 3646 for residential kitchens).
Kitchen illuminance standards comparison:
- SP 52.13330: 200 lx (general), 300 lx (countertop work zone)
- IS 3646 Part 1: 200 lx (general), 300 lx (work zone)
- EN 12464-1: 300-500 lx (kitchen overall)
Utilization Factor Method
Formula: Φ = (E × S × Ks × Z) / (N × η)
Where:
- Φ — required luminous flux per luminaire (lm)
- E — required illuminance (lx) = 200 lx
- S — room area (m²) = 12 m²
- Ks — maintenance factor (accounts for dust and lamp aging) = 1.3 for LED
- Z — non-uniformity factor = 1.1 for spot lights
- N — number of luminaires
- η — utilization factor (determined by room index and reflectance)
Step 1: Room Index
i = (A × B) / (h × (A + B))
Where:
- A = 4 m, B = 3 m — room dimensions
- h = H - hw - hs = 2.7 - 0.8 - 0.15 = 1.75 m — calculation height
i = (4 × 3) / (1.75 × (4 + 3)) = 12 / 12.25 ≈ 0.98
Step 2: Utilization factor η
From SP 52.13330 tables for cosine-distribution luminaire (Type D) at i ≈ 1.0 and reflectance 70/50/30:
η ≈ 0.48 (48% of luminous flux reaches the working plane)
Step 3: Luminous flux
Φtotal = (E × S × Ks × Z) / η = (200 × 12 × 1.3 × 1.1) / 0.48 = 3432 / 0.48 = 7150 lm
Step 4: Luminaire selection
Option 1 — 4 spot lights (N = 4): Φ1 = 1788 lm → LED 1800-2000 lm (≈ 15-18 W each)
Step 5: Power density check
Power density for kitchen: 10-15 W/m². All LED options ≈ 6 W/m² — economical, 2.5-3× better than fluorescent.
Work zone: local lighting
Countertop requires 300 lx. For 2.5 m² work zone and η = 0.5: Φ = (300 × 2.5 × 1.3 × 1.1) / 0.5 = 2145 lm → LED strip 2200 lm (18-20 W) under cabinets.
What GorkyCAD automates
- Calculates room index from floor plan geometry
- Selects η from SP/IS/IEC tables
- Proposes luminaire placement variants
- Calculates total lighting group load
- Checks compliance with standards and power density