1. What This Tool Does
This software is a commercial-grade Photometric Calculator based on the IESNA Zonal Cavity Method (Lumen Method). It helps Electrical Engineers, Lighting Designers, and Facility Managers determine the optimal number of light fixtures needed to achieve a specific lux level in industrial and commercial spaces.
Unlike basic calculators, this tool accounts for complex variables like Room Cavity Ratio (RCR), Dirt Depreciation, and Surface Reflectance, ensuring that the designed system maintains adequate light levels even after years of operation (End-of-Life conditions).
2. The Physics of Photometry (Inverse Square Law vs. Lumen Method)
Light intensity follows the Inverse Square Law ($E = I / d^2$) for a single point source. However, in industrial spaces with multiple fixtures and reflective surfaces, calculating point-by-point is tedious. The Lumen Method solves this by treating the room as a "cavity" that integrates direct light and reflected light into a Coefficient of Utilization (CU).
Where:
- N: Number of luminaires required.
- E: Target Illuminance (Lux).
- A: Area of the working plane ($m^2$).
- $\phi$: Luminous flux per fixture (Lumens).
- CU: Coefficient of Utilization (Efficiency of the room geometry).
- MF: Maintenance Factor (Depreciation over time).
3. Room Cavity Ratio (RCR) & Efficiency
The RCR is a dimensionless number describing the room's geometry. It critically impacts the Coefficient of Utilization (CU).
Where $h_{rc}$ is the vertical distance between the fixture and the workplane (not the floor).
- Low RCR (0-2): Wide, flat rooms (Offices). Light hits the floor directly. High Efficiency.
- High RCR (>7): Deep, narrow rooms or High Bays (Warehouses). Much light is lost absorbing into walls before hitting the workplane. Low Efficiency.
4. The "Maintenance Factor" Trap
Amateur designs often assume MF = 1.0 or 0.9. In reality, industrial lighting degrades significantly. This calculator builds a realistic MF based on:
Factors of Decay
- LLD (Lamp Lumen Depreciation): LEDs lose brightness over time. L70 means 70% brightness after 50k hours.
- LDD (Luminaire Dirt Depreciation): In a factory, oil mist and dust coat the lens, blocking light.
- RSV (Room Surface Dirt): Walls get dirty, reflecting less light.
A realistic industrial MF is often 0.65 - 0.75. Using 0.9 results in a system that is under-lit after just 2 years.