Luminous Efficacy of Light Sources Calculator

Understanding luminous efficacy is crucial for engineers, architects, and consultants, linking radiant power to perceived luminous output. A precise Luminous Efficacy Calculator helps evaluate lamps, LEDs, and technologies, ensuring compliance with CIE and IES.

Luminous Efficacy Calculator — lm/W (English)

Quickly convert between lumens, watts and luminous efficacy. Accessible, SEO-optimized, ready for WordPress.

What is luminous efficacy?
Luminous efficacy (lm/W) is the ratio of luminous flux (lumens) to power consumed (watts). It measures how well a light source produces visible light per unit of electrical power.
Which formula does this calculator use?
Efficacy: E = Φ / P (lm/W).
Lumens: Φ = E · P.
Watts: P = Φ / E.
For spectral conversions or radiant efficacy, specialized inputs are required.
Why do LED efficacies vary?
LED efficacy depends on chip efficiency, driver losses, phosphor conversion, thermal conditions and optical losses. Manufacturer datasheets give the most accurate values.

Extended Reference Tables of Common Luminous Efficacy Values

The following tables present typical luminous efficacy values for common light sources. These are reference ranges compiled from CIE standards, IEC reports, DOE (U.S. Department of Energy) studies, and peer-reviewed publications. Values may vary with manufacturer, ballast/driver quality, and operating conditions.

Table 1 – Common Light Source Efficacy Values

Light Source TypeTypical Luminous Efficacy (lm/W)Notes / Conditions
Incandescent (Standard A-lamp)10 – 17Strong infrared losses, very low efficiency
Halogen Incandescent15 – 25Slightly improved spectrum and temperature
Compact Fluorescent Lamp (CFL)45 – 70Depends on ballast efficiency
Linear Fluorescent T1255 – 70Older technology, less efficient
Linear Fluorescent T880 – 100Widely used in offices, good efficacy
Linear Fluorescent T595 – 110High efficiency, compact geometry
High Pressure Sodium (HPS)85 – 150Very high efficacy but poor color rendering
Low Pressure Sodium (LPS)100 – 200Monochromatic yellow, excellent efficacy but impractical for most uses
Metal Halide (Quartz)65 – 115Higher CRI than HPS, reduced lifespan
Ceramic Metal Halide (CMH)80 – 120Better color rendering and stability
Mercury Vapor35 – 65Obsolete in many regions due to poor efficacy
White LED (2020 average)100 – 180Efficiency strongly depends on binning, optics, and thermal management
Laboratory LED (R&D level)200 – 300+Achieved in controlled test conditions
OLED Panels (current commercial)40 – 80Emerging, suitable for architectural applications
Daylight (reference sunlight)~93Theoretical luminous efficacy at 555 nm peak sensitivity

Table 2 – Conversion Efficiency Factors

Stage of ConversionApprox. Efficiency (%)Description
Electrical input to LED chip60 – 70Internal quantum efficiency
LED chip to package extraction80 – 90Optical extraction
Package to luminaire (optics + housing)70 – 85Losses in reflection, absorption, scattering
Complete system (driver + optics + housing)60 – 75Wall-plug efficacy of LED lighting systems

These reference tables illustrate why luminous efficacy calculators must account not only for the intrinsic efficiency of the source but also the system-level factors (driver losses, optics, thermal dissipation).

Core Formulas for Luminous Efficacy

The Luminous Efficacy of Radiation (LER) and Luminous Efficacy of a Source (LES) are the two main calculated metrics. Both are critical for accurate lighting performance evaluation.

Formula 1 – Luminous Efficacy of Radiation (LER)

This formula expresses how efficiently a spectrum produces useful light perceived by the eye. For monochromatic green light at 555 nm, lm/W (theoretical maximum).

Formula 2 – Luminous Efficacy of a Source (LES)

This metric reflects real-world performance, incorporating driver efficiency, ballast losses, thermal behavior, and optical design.

Formula 3 – System Wall-Plug Efficiency

This determines how effectively electrical watts are transformed into useful lumens at the luminaire output.

Formula 4 – Photopic Conversion Example

This explains why blue or red monochromatic LEDs have lower perceived efficacy despite similar radiant power.

Detailed Explanation of Key Variables in Luminous Efficacy Calculations

When working with luminous efficacy, professionals must handle several interrelated variables. Each one plays a role in determining how efficiently a light source converts electrical energy into visible light.

1. Luminous Flux (Φv)

  • Definition: The total amount of light emitted by a source, measured in lumens (lm).
  • Typical Values:
    • A 60 W incandescent lamp: ~800 lm
    • A 10 W LED lamp: ~1000 lm
    • A streetlight LED module: 15,000 – 30,000 lm
  • Practical Relevance: It defines how much useful light is available for human perception and tasks.

2. Radiant Flux (Φe)

  • Definition: The total optical power emitted, measured in watts (W), across all wavelengths.
  • Typical Values: LED packages may emit 1–10 W of radiant power for small chips.
  • Key Insight: Not all radiant flux contributes to visible light; part lies outside the human visual spectrum (infrared, UV).

3. Spectral Power Distribution (SPD)

  • Definition: The intensity of a light source at each wavelength across the visible spectrum.
  • Importance: Determines color rendering index (CRI), correlated color temperature (CCT), and ultimately luminous efficacy.
  • Examples:
    • High-pressure sodium lamps have narrow, strong peaks in yellow-orange.
    • LEDs can be engineered for wide or narrow SPDs depending on phosphor use.

4. Electrical Input Power (P_in)

  • Definition: The total power consumed, including driver or ballast.
  • Examples:
    • A “10 W LED bulb” may actually draw 10.5–11 W when including driver losses.
    • A fluorescent lamp with ballast may consume 20% more than its rated lamp wattage.

5. Human Visual Sensitivity Curve (V(λ))

  • Definition: Standardized function describing eye sensitivity under photopic (daylight) conditions.
  • Importance: Explains why some wavelengths produce much higher lumen outputs per watt of radiant power.
  • Practical Example: At 555 nm (green light), the eye is most sensitive. At 700 nm (deep red), sensitivity is less than 1/10.