In 1973 Arab Oil Embargo, showed interest in day lighting in the United States first, but it was at a low level of effort.
At this time the electric lighting industry in this country had pointed out the disadvantages of the day lighting – glare, variability, difficulty of control, expensive Illuminance.
A modest amount of analytical based work had been performed in the day lighting. But the major use of the daylight was by architects. They allowed the day lighting to spill into interior spaces to create visual effects not to provide quality lighting for doing visual work.
Conventionally, two sky conditions have been considered, they are overcast and clear sky conditions. Recently interest has been arisen in providing data for a third sky condition i.e. the partly cloudy sky.
The designer calculates external Illuminance considering vertical, horizontal or sloped on the fenestration (window, skylight etc). This is not only direct radiation from the sun and sky but also reflected radiation from the ground and adjacent structures.
The important component of the daylight design process is to ascertain the visual transmission characteristics of the fenestration material.
Generally there are two types of transmittance to consider namely direct transmittance of sunlight and diffuse transmittance of clear or overcast skylight. The transmittance of the fenestration for these two types of input may indeed be different and the former may be opened on solar altitude. Another important step to day light calculation is to process the luminous flux which enters the interior space.
Day Light Sources
Generally the sun is the main source of light. But whenever we calculate the daylight we should also take the sky also as the indirect source of the light. The dust particles in the atmosphere help the sun light to get scattered to reach on the ground. Based on different condition of the sky, like cloudy sky condition, partly cloudy or clear sky condition, we have two sources (a) the sun for direct light source and (b) the sky for indirect light source.
We can compare the sun and the sky as the light source.
How to Measure Solar Irradiance and Illuminance and Efficacy?
To measure irradiance we have to use Pyrometer that shows the irradiance. Irradiance means radiated energy per unit area. Its unit is W/m2.
Lux meter is used to measure the global Illuminance in lm/m2.
Now we have to measure global irradiance without blocking the sun position by a baffle over this meter. Here global means the sun and the sky both together. By Lux meter the global Illuminance is measured without blocking the sun position.
Then we block the sun position by a baffle such that direct light never falls on the pyrometer or Lux meter. In this manner, pyrometer shows the sky irradiance and the Lux meter shows the sky Illuminance.
Now, the Solar Irradiance = Global Irradiance – Sky Irradiance
And the Solar Illuminance = Global Illuminance – Sky Illuminance
Advantages of Day Lighting
Especially in many countries of Europe continent, the sun light is very much expected as per their geographical position and climatic condition. But for the countries near the tropics or the equator, sun light is not taken to bother to design especially as the sun covers its sky locus with maximum bright appearance from east horizon to over head position to the west horizon. The sun positions over the head creating 900 with the horizontal at the time of noon.
The advantages of the day lighting are
- Health issue
- Health performance
- Psychological issue
- Choice of users
- Energy savings
Along with these advantages, there are some disadvantages also,
- The sun is the variable source considering its position (Longitude and Latitude wise)
- It is not a fixed source of light or its light depends on the atmospheric condition
- Its CCT (Correlated Color Temperature) and CRI (Color Rendering Index) varies throughout the day.
- High leveled discomfort glare.
Remedy to overcome these advantages:
- Day light can be supplemented with artificial lighting.
- Special care to be taken to restrict the glare.
Sky Luminous Distribution
Here ɣ is the altitude angle, and α is the azimuth angle.
Now we can calculate the Illuminance at point P due to considered elementary sky patch dA.
Let us assume IP is the luminous intensity due to dA sky patch towards P point.
So, Illuminance at point P is
Let, Lɣα be the luminance of the sky patch specified by the angle α and ɣ angles.
We know that luminance is the luminous intensity per unit area, hence we can write,
From this above equation we can say that horizontal point specific Illuminance at any point created by the sky patch is
From α1 to α2 – azimuth angle and from ɣ1 to ɣ2 — altitude angle
Horizontal Illuminance due to entire sky vault is
Lɣα is the sky patch luminance specified by the angle α and ɣ angles.
Now consider a patch viewed by a person standing on the ground. This person will see the sky patch with α1 to α2 azimuth acceptance angle and ɣ1 to ɣ2 altitude acceptance angle.
Overcast Sky Luminance
Overcast sky model is the simplest model and it is used for artificial light model.
In this overcast sky model ɣ is variable but α is not variable, α is independent and α = 360o or 2ᴫ
Lɣ is the luminance due to angle ɣ.
LZ is the zenith luminance when ɣ = 90o
The CIE published an empirical formula for only overcast sky,
Again when the sky is covered with uniformly thick cloud, then the sun is invisible.
So, we can calculate Illuminance at point P.
But for sky component of the daylight factor due to any element at dɣ, dα at ɣ and α,
This method of calculation is applied to measure luminance and Illuminance for a window at any point.
The CIE standard general sky model:
Up to the year 2001, the CIE recommended the empirical formula related to clear sky and over cast sky. But after 2001, the CIE has categorized the sky in different 15 types. Out of these five types are different clear sky, five types are different intermediate sky and rest five types are different intermediate sky.
As per the CIE standard general sky model, the modified equation is given by
Where φ (z) is the luminance gradation function and it depends on angle of altitude ɣ and z is the angle of altitude measured from the zenith, hence z + ɣ = 90o.
f(Zs) and f(χ) are the scattering indicatrix functions that are related to the relative luminance of the sky element. The function f(χ) depends on the sun’s position (αs, ɣs) and χ is the sun’s angular distance from the sky. And the function f(Zs) depends on the angle of altitude of the sun Zs measured from zenith.
Computation of Inter Reflected Luminous Quantity in a Room
Eg is the window plane illumination at any instance.
Ag is the average area of the window.
Total luminous flux incident on the window
Let us consider τ is the transmittance of the window material.
So average luminous flux inside the room
Amount of total first internal reflected flux
Due to multiple internal reflections, total flux effectively
Now the effective Illuminance level inside the room at any instance is
Where, AR is the effective room area.
Day Light Factor Computation
Day light factor is defined as the ratio between external Illuminance levels to the room inside Illuminance level at a particular point inside the room.
DF is expressed in percentage.
Eext is the external horizontal Illuminance at a particular height.
EP is the room inside Illuminance at point P at the same height.
Here, ESky = Illuminance due to light received from the sky at point P.
EObstruction = Illuminance due to light received from the obstruction at point P.
Einterflected = Illuminance due to light received after room inside internal reflection at point P.
It can be said that DF method is the relative method of Day Light Prediction.
Estimation of Average Day Light Factor in a Room
Let us consider AS = area of total room surface
AF = area of total floor surface,
AC = area of total ceiling surface,
AW = area of total wall surface.
Ag = the area of the window opening.
Eg = window plane Illuminance measured at width height of the window opening.
τ = transmittance of the window element.
Day Light Luminous Flux incident on window plane =
Transmitted Luminous Flux into the room =
Area weighted reflectance of the room
Thus the day light flux absorbed by the inside room surface
As the average Illuminance for the inside room surface is
and DF is the average day light factor for the room.
The day light flux or luminous flux received by the room surface
Let, EWF is the window factor that is the ratio of window plane Illuminance to external Illuminance, i.e.
From the conservation of the day light we can write that, day light flux transmitted from the window opening is equal to the day light flux observed by room surface.
So, we can write,
Again from the experimental observation it was found that the numerical value of EWF is approximately equal to the half of the vertical angle θ in degree.
So, a correction factor improves the predicted value of DF.
So, the corrected