# Calculate the parameters for the lighting that you need

If you regret the time when it was enough to read the consumption in watt on the box of your bulb to choose the luminous intensity that you needed, then this page is for you. It explains the main parameters used to describe the characteristics of the modern lights, and in particular:

• How to measure the energy efficiency of a light bulb;
• That lighting fixtures also have of their own efficiency;
• The meaning of the technical terms that appear in the descriptions of the modern lights: lumen, lux, candela.

## 2- Luminous power and energy efficiency of the bulb

A light bulb is like an energy transformer: it consumes electrical power – which goes to your electricity bill – and transforms part of it into light. This transformation is not perfect, a significant proportion of the energy is transformed into heat. Each technology (fluo-compact, halogen, traditional incandescent, incandescent halogen, LED) shows a different performance. In addition, two bulbs of the same technology can have very different yields, depending in particular on the quality of their construction and of the materials that are used.

The amount of light emitted by a bulb is measured in lumen. Historically, the lumen was defined by its inventor (Perley Nutting at the beginning of the 20th century) as the total luminous flux emitted by a source of wavelength of 555 nanometers with an intensity of 1/683 watt (in 1979 , this definition was simplified by introducing the candela, see below our paragraph on the candela). It is important to note that the lumen measures the luminosity perceived by the human eye, which is more sensitive to light at the center of the visible spectrum than at its extremities. The 555 nanometers correspond to a yellow-green frequency, close to the maximum sensitivity of the human eye. An ultraviolet lamp for example, which emits an invisible light for the human eye, will produce a luminous intensity of zero lumen, whatever its power!

At a given wavelength (the “colour”) and with the same electricity consumed, a bulb with a high efficiency will emit more lumen than another with a lower efficiency. This yield is measured in lumens produced per watt of electric power consumed. (Note for the more technical: an interesting consequence of the definition of the lumen, is that a lamp – LED for example – which emits a light of temperature of 4000 Kelvin with a narrow spectrum, will show a much better yield than another LED of the same power, emitting the same average 4000 Kelvin, but with a much wider spectrum. However the latter will provide the best light quality, and the best colour rendering. In other words, quality bulbs that offer a high Colour Rendering, must be more powerful than lower quality ones, to emit as many lumens.)

The table below shows the electrical power consumed, the quantity of light emitted and the light output for a few examples of bulbs:

Type & Power of Light Source Luminous Flux Yield
60W incandescent bulb 710 lumens 12 lumens / W
70W halogen bulb 1200 lumens 17 lumens / W
23W compact fluorescent bulb 1500 lumens 65 lumens / W
35W classic fluorescent tube 3400 lumens 100 lumens / W
8.5 W good quality LED 800 lumens 94 lumens / W

The best yields are obtained by the neon tubes – which explains why they are massively used in industrial or office lighting – and by the compact fluorescent bulbs – which are miniature neon lights. With light outputs of 50 to 60 lumens per W, they consume 4 to 5 times less current than conventional incandescent bulbs.

The best LED models also have high yields – and they are progressing rapidly as technology advances. For a long time LEDs had a deserved reputation for being a bit weak, but it is now common to find affordable LED bulbs announced with the 1000 – 1500 lumens (although again, rarely with a very high quality light).

Halogen bulbs offer a yield of about 18 lumens / W – an energy saving of 20% to 40% compared to traditional bulbs.

## 3- The efficiency of a luminaire

The regulator’s focus is on the energy efficiency of the bulb. But the amount of light that is produced also depends on the efficiency of the luminaire itself.

The efficiency of a luminaire depends on two factors:

• The electrical and optical characteristics of the light source used (see above);
• The ability of the luminaire to transmit this light: a simple table lamp surrounded by an opaque black shade has a lower efficiency than an identical lamp surrounded by a semi-transparent white lampshade. The challenge of the designer is to invent luminaires that are effective, and at the same time decorative and compliant with safety standards. The light that is not transmitted by the luminaire ends heating the luminaire and the house, with the same efficiency than an electric radiator.

## 4- Illuminance – measured in lux

Our eyes see surfaces and objects when they are illuminated. Illuminance measures the amount of light that illuminates them. The degree of illumination is expressed in lux. It is easily measured with the light meters, like those commonly used by professional photographers.

The table below shows several levels of illumination for illustrative purposes:

Situation Illuminance (lux)
Moonlight, clear night 0.25
Candlelit restaurant 20
Living room lit normally 100
Office very enlightened 400
Sunny day, in the shade 10,000
Sunny day, surface in full sun 100,000

What is the relationship between the luminous flux (measured in lumens) and the illuminance (measured in lux)?

One lux is defined as the illumination of a surface that receives one lumen per square meter. It is a received intensity, regardless of the characteristics of the bulb that emitted the light (distance, power etc …).

If you take an empty room of 3 meters by 3 meters, where you hang a light bulb on a ceiling 3 meters high and which emits a flow of 2000 lumens (for example, a 100W halogen bulb without lampshade).

The total area of ​​the room (walls, ceiling, floor) is 6 x 3 x 3 = 54 square meters. The average illumination of the room is therefore 2000 lumen divided by 54 square meters = 37 lux. If you add a shade that reduces the illuminated area to a 1 square meter circle on the floor, this square meter will always be illuminated at 37 lux. And the rest of the room will be in the dark with 0 lux (not counting the reflections).

In fact, lighting specialists commonly use reverse calculation:

• According to the usage objectives and the aesthetic requirements, they choose the level of illumination they want, expressed in lux;
• They multiply by ​​the surface to illuminate, which gives the total light flux (expressed in lumens) that is necessary;
• The they select the set of luminaires that can produce the required flow.

Obviously, things are never that simple: one must the take into account the light distribution in the room, the level of filtering of each luminaire, and other subtleties. In particular, the question of the light distribution by each luminaire is the topic of the next paragraph, with the third and last important concept, the candela.

## 5- Luminous intensity – expressed in candelas

A bare bulb (or candle) illuminates in almost every direction. But many lighting fixtures concentrate most of the light they produce in a more or less narrow beam, often with the help of reflectors. By assimilating this beam to a cone, the width of the beam is often measured by an angle expressed in degrees (to be exact, it is a “solid” angle, measured in steradian). The smaller this angle, the narrower the beam.

If we come back our room example, but lit this time with a recessed spot in our ceiling at three meters height, then a beam of an angle of:

• 6 degrees, produced on the ground a circle of 30 centimeters in diameter;
• 35 degrees, produces a circle of 1.90 meters in diameter.

The calculator below will give you in the second column, the diameter of the illuminated surface according to the width of the beam and the distance of the luminaire.

To measure the luminous intensity produced by a bulb or a spot in its “useful” beam, professionals use another unit of measurement, the candela. The luminous intensity of a candela corresponds to a luminous flux of a lumen distributed on one steradian (the steradian roughly corresponds to a cone with a “plan angle” of 65.54°). Do you recall that the lumen was defined by Mr. Nutting with a curious ratio of 1/683 watts? Mr. Nutting chose this ratio so that one candela corresponds to the light intensity of a candle. For a more recent reference, a traditional incandescent bulb emits approximately one candela per watt.

Everything now fits together: the better you want to see what you are eating from a table, the more lux it must receive. The higher is the luminaire, the larger the surface of the table that is lit and the more light must be emitted by the bulb (that’s the candelas) to illuminate each square centimetre of the table with the same amount of lux. And if we now keep our light source at a constant height, then the larger the table, the wider we need the light cone to be, the more lumens will be emitted by the light and received by the table (lux multiplied by the surface of the table, or candelas multiplied by the width of the cone)… If in addition you want to showcase your tablecloth and your porcelaine, then you will need a bulb that has a high CRI, or if you want to heat your room (!) both of which will cost a bit of extra energy (measured in watt) to emit the lumens you need.

Dealing with candela is easier than it seems: the illumination E (in lux) of a surface placed at a distance D of a projector of C candela is simply: E = C / (D x D), regardless of the beam angle and the surface that is lit (both lux and candela measure intensities rather than total quantities). Two examples:

• A 1000 candle projector placed at a distance of 10 meters from a surface illuminates it at the rate of 1000 / (10 x 10) = 1000/100 = 10 lux;
• To obtain 50 lux lighting from a projector placed at 5 meters, a 50 x 5 x 5 = 1250 candela projector must be installed. Of course, you’ll also want the projector’s beam to be large enough to illuminate the entire surface (and that quantity is measured in lumens).

The calculator below allows you to estimate the illumination obtained with typical light fixtures, from their electrical power, the technology of their bulb, the width of their beam, and the distance to the illuminated surface. It calculates the diameter of this surface, the amount of light in lumens produced by the luminaire, the luminous intensity of the beam in candelas and the illumination obtained:

### Illumination calculator

1- Bulb type 2- Installation of the luminaire 3- Results

The luminaire produces an estimated flux of 1080 lumens and an intensity in its beam of 11 314 candela.
The surface is illuminated with an intensity of 1228 lux.

For a technical question that this page does not allow you to solve, our customer service is ready to help at +33 1 45 20 60 00 or by email to contact@vraimentbeau.com.

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