4.1. Simulation Model
The aim of this research is to manipulate fixed types of the canopy for numerical simulations with vertical and horizontal shading: the most common shading device. For the design process, a shading mask is reviewed as a passive method, and DaySim software is deployed for an advanced simulation to review different shading options. Mainly one side-lighting situation is chosen to evaluate the daylighting levels in a typical classroom. Different orientations (South and West) and shading devices (horizontal and vertical canopy) are explored for the daylighting analysis along with a passive design approach.
The classroom is selected is standard size for a primary and a secondary school; daylighting is mostly concerned with students’ performance and comfort by providing adequate illuminance levels. The classroom is composed of a single zone with 8.1 m deep, 8.4 m wide, and 2.6 m high as shown in
Figure 2. The classroom is assumed to be occupied by 25 pupils and necessary equipment (a projector, a desktop, and a laser printer) in a classroom. The reflectance of ceiling, wall, and floor are set at 0.7, 0.5, and 0.3 (as seen in
Table 1), respectively, while the illuminance of the desk is set to the threshold of 300 lux as the minimum requirement for illuminance. Two orientations (South and West), frequently found directions, were selected for the simulations; direction can be adjusted by Ecotect as illustrated in
Figure 3. Horizontal and vertical shading devices are applied in separate form and also in combined form like an egg crate; these will be compared regarding daylighting performance. The internal illuminance in the classroom needs to be above 300 lux, the minimum threshold recommended in the School Design Guidelines of the Korean School Association. DaySim software uses the threshold of 300 lux for the daylighting autonomy.
A 49.5% glazing ratio (window to wall) is applied on the main wall while the relatively small size of corridor window (0.7 × 7.2 m) is located on the other side of the classroom. There is limited illuminance at the opposite of the window in the classroom during the daytime mainly caused by diffuse light from the corridor sides facing north and east directions.
Seoul in Korea chosen for the numerical simulation is located in the mid-latitude temperate climatic zone, and the four seasons are distinct. In summer, the average temperature in summer reaches at 23.6 degrees with high humidity while the average temperature stays as low as 0.5 degrees in winter. There is constant direct solar radiation throughout the year, which has potential for use for indoor lighting and thermal energy in winter.
4.2. Passive Design: Shading Coefficient (SC)
External shading design (device) can be calculated using shading masks, which store the shading percentage at a track of sky angles, overlaid on the sun-path diagram. As shown in
Figure 4, direct solar radiation can be plotted whether the point in the middle of the selected plane is shaded or not. It clearly shows the relation between the sun’s movement and the shading device. For the window area, the value of solar penetration was calculated at different times of year, and it accounts for 0 to 100 per cent of the variation. The position of the Sun plays a definite role in determining how to direct the solar beam onto the selected surface at the required date and time. Therefore, the percentage of the shade in the object is stored in the stereographic diagram represented as a bright colour for more solar radiation gain than that filtered by the surrounding conditions and external shadings. Incident direct solar radiation can be estimated on the selected element. The shading area coloured in black and the unshaded area in white show where the beam can reach over the sun-path as tabulated in
Figure 4. It helps to understand effectively how the surrounding condition (i.e., buildings, trees, and orientation) would influence shading by the direct solar radiation. Cases of no shading and vertical fin show there is almost no obstacle for direct solar radiation to reach in the middle of the window during daytime. The horizontal canopy protects direct solar radiation during the daytime, and early/late sunlight is allowed to come through when facing south. The depth of the canopy can have an impact on the control of sunlight during daytime. When west-facing, sunlight comes through mostly in the afternoon while the horizontal canopy performs well between 12 p.m. and 3 p.m. Besides, vertical fins would be practical later in the day to protect the low angle of the solar beam. As a part of starting the passive design, designers would be able to get an intuitive idea of the shading device and solar radiation though there is some difference in the solar position between the middle of the window and edge.
For the detailed analysis of shading coefficient, various shading devices with different sizes are suggested to reveal their performance for the shading mask as shown in
Table 2,
Table 3 and
Table 4. Horizontal, vertical, and combined shading devices with the same area of 3.6 m
2 are tested with south and west directions. The shading coefficient is calculated with the Weather tool from Ecotect. Shading mask can calculate either direct beam or diffuse light or both in the mixed calculation of shading percentage. The position of the sun is evaluated at each date and time, which provides an azimuth and altitude value and then data can be used to locate a specific cell in the mask. Each cell stores the percentage of the object that is in the shade from the angle. From this shading percentage, an exposure value is calculated and then multiplied by the beam component. Naturally, the larger shading areas reduce exposing percentage of the glazing area. It shows direct ratio in both the south and west directions as illustrated in
Figure 5 and
Figure 6. More light can come through in the south-oriented classroom in any shading shape, which is why most buildings are generally encouraged with facing south in Korea. It is helpful to compare the shading coefficient of three fins and three canopies as they have the same area of 3.6 m
2. When facing south, the three fins perform with 57.5% (44.3% in summer and 68.8% in winter) and the three canopies perform with 39% (8.7% in summer and 69.8% in winter). From the annual average performance, SC of three fins shows 18.5% more daylighting penetration than horizontal ones. However, there is a huge difference in summer.
The horizontal canopy with three blades shows 35.6% more protection from solar radiation, which is a very critical factor to avoid solar radiation in summer in the climate of Korea. Though the similar result is found in both vertical and horizontal cases in winter, horizontal canopy performs well in the facing south. In the case of facing west, the three fins show 39.7% (46.2% in summer and 31.9% in winter) and the three canopies show 27.5% (25.6% in summer and 29% in winter). There is not much difference overall between vertical and horizontal though 20.6% more penetration can be found in the vertical fins. Some ideas can be drawn from the SC graphs. In general, SC is directly proportional to the area of shading as shown in
Figure 5 and
Figure 6. Horizontal canopies perform well in summer in the facing south. In the case of facing west vertical fins performs well in winter while horizontal and vertical ones show similar performance in winter.
SC is useful to analyse with separation of the season, summer and winter. Korea has four distinctive seasons: spring (March–May), summer (June–August), autumn (September–November), and winter (December–February). It is therefore critical to block direct sunlight in summer and allows it in winter. SC can be visualised on the stereograph with sun-path for the performance in different season, which is one of the vital functions. The shading coefficient (%) with horizon canopy and vertical fins decreases gradually along with the numbers of canopies or fins throughout the year. The rate of declination is steeper when facing south than when facing west, which found in both horizontal and vertical shadings.
That is because there is more incident solar radiation in the south in the northern hemisphere and total areas of shadings work proportionally to block diffused and direct solar radiation. For the in-depth analysis, it is useful to break down the simulation data in summer and winter separately as displayed in
Figure 7. The annual performance of the shading device can help reveal what type of shading device is a better fit for the different directions of the classroom than the other shapes. In winter, allowing sunlight into the indoor has been considered as an essential factor to warm up inside in the cold period, while forbidding unwanted solar radiation in summer. This control is also profoundly related to visual comfort in seasons.
The south facing classroom with a horizontal canopy in winter has 75.7% of the highest lighting penetration and 62.5% with vertical fins and 44.3% with composite canopy. It proves that the horizontal canopy performs 13.2% better than that of the vertical shading and 31.4% more solar radiation than that of composite shading in winter in the facing south. Similarly, the west-facing classroom shows similar performance orders: horizontal canopy with 36.4%, vertical fins with 28.9%, and composite shading with 23.3% of solar penetration rate. It shows that the horizontal canopy performs 7.5% better than a vertical fin, which is an unexpected result though the difference is a little. It can be different in the different designs of vertical fins. From the simulation, the horizontal canopy is suitable for the south and west direction in winter from December to February.
On the other hand, it is essential to forbid unwanted sunlight in order to minimise cooling energy in summer. Based on the strategy, it is required to minimise shading coefficient as much as possible. Overly, horizon and composite canopies perform well in both directions compared with vertical shading. Only 16.7% of SC is for the south, and 29.9% of SC for the west is implemented with a horizontal canopy in summer. The use of horizontal canopy in summer can efficiently block solar radiation with an improvement of 23.5% for the south and 15.1% for the west in comparison with the performance of vertical shading. The composite canopy also performs well with 12.8% for the south and 26.6% for the west, which has a slightly better achievement than with horizontal canopy. Regarding annual performance, the composite canopy works best in summer, but it shows the lowest solar penetration in winter as well where heat gains are needed. For the performance throughout the year, horizontal canopy shows its best ability to deal with solar radiation.
Internal lighting spread can influence the visual comfort of the student which may shut blinds to stop incoming direct sunlight. Therefore it is vital to maintaining uniformity of the illuminance distribution on the indoor work surface. SC calculation does not cover this issue of sunlight distribution, but the internal rending of solar tracing can provide views of spreading condition. In order to identify sunlight distribution, internal illuminance levels in the classroom are calculated with different shading devices on midday with the sun on 21 September as tabulated in
Figure 8. Internal reflectances (albedo) are set as 0.3 for the floor, 0.5 for wall, and 0.7 for the ceiling as well as 0.2 for outdoor ground. The rendered images in
Figure 8 show the nearer the window area, the more intensity of sunlight is observed, which may cause to glare for students. It leads users typically to use a blind to keep solar beams from penetrating the classroom to avoid glare problems. Besides, it forwards to turn on electric lights to cover daylight shortage causing by blocking daylight during the daytime. In the south-facing classroom, the horizontal canopy can block explicitly at noon as shown in
Figure 8c. Composite shading also works well, but it also blocks diffused light, which makes the other side of the classroom dark as illustrated in
Figure 8e. The case of the vertical device in
Figure 8g shows there is little shading toward the south as like one with no shading device in
Figure 8a. It seems solar radiation is coming in parallel with the shading device. From the solar tracing renders, horizontal canopy blocks well direct solar radiation in the south-facing classroom.
Composite shading in
Figure 8f, in the case of the west-facing classroom, shows the most sunlight blocked at 3 p.m., while it provides low illuminance levels less than 150 lux the other side of the classroom. At the setting time for simulation is 3 p.m. that is selected for the west sunlight in the afternoon which increases heating problem in summer and draws sunlight deeply into the classroom. Given that shown illustration in
Figure 8, a classroom with the horizon and one with vertical shading represent a similar amount of solar penetration at 3 p.m. on 21 September. One of the advantages to render with contour lines of illuminance can clarify with visual how much illuminance is spread at the internal space and also how much is affected by the shading.
This simple internal rendering gives ideas horizontal shading is adequate for the south-facing classroom and also horizontal and vertical canopy are both the excellent solution of shading for each classroom. However, since it shows the momentary light penetration at a particular time, there is a limit to understanding the overall light performance. Therefore, it is critical to verify passive design with advanced software as a continuous step of passive design. Empirical and vernacular architecture would be helpful to approach sophisticatedly for environmentally sustainable design. This approach can minimise trial and error process for a building to adapt itself with the climate before running it in advanced simulation for the decision of detail element design. It is useful to adopt DSM (Dynamic Software Modelling), i.e., DaySim, to check in detail for the distribution of light throughout the year.
4.3. Dynamic Simulation Method: DaySim
Advanced software, DaySim, for measuring illuminance on a surface is explored in order to provide in-detailed illuminance condition of the classroom. DaySim is adopted for DSM (Dynamic Simulation Modelling), validated as a radiance-based daylighting analysis software, and allows to simulate lighting levels with every 5 min and provides accurate results.
Daylight Autonomy (DA), as an illuminance index, shows the values of which data forms the basis of the lighting analysis. The figures are illustrated according to the frequency (%) above the threshold of 300 lux, which can help to understand daylighting performance in the classroom. The results calculated using DaySim Software are tabulated in
Table 5. The colours ranged with ten stages indicated frequency of the occupied hours over the year during daytime (08:00–17:00). The classroom without canopy facing south has the highest daylight autonomy of 87.9% in average which means daylight can light the classroom with above 300 lux for 87.9% of the school hours (08:00–17:00 with an hour lunch break) without artificial lights. The west-facing classroom with combined shading shows the lowest DA of 80% which indicates artificial lights would be used for around 20% of school hours, which would lead to increase light energy consumption. However, DA is calculated only above a certain illuminance level without considering for the excess lighting amount, which would cause glare problem. Therefore, the method of using an average of DA may lead to misunderstanding of the illuminance quality in the classroom. For example, if there is direct sunlight near the window of the wall, it would be adding to the average of DA though it may cause glare problem. This is why not much difference of DA between different shading devices as shown in
Table 5. DSP (Daylight Saturation Percentage) is suggested to review the quality of the light considering the might-glare problem.
Daylight Saturation Percentage (DSP) is calculated with illuminance ranges between 430 lux (40 footcandles) and 4300 lux (400 footcandles). Besides, the grid point is deducted from the grid point annual values by penalising when the values are above 4300 lux. Using the modified data, DSP can be perceived as a realistic figure to reflect the illuminance conditions in the classroom, which is the most merit to figure out the useful daylighting distribution. Classroom facing south with horizontal canopy achieves average daylight autonomy of 64.1% which is the best performer, while classroom with no canopy shows the least one with an average of 54.9%. It is caused by the exclusion of the excess lighting above 4300 lux which mostly found at near windows. In the case of west-facing classroom, vertical shading shows the best device to respond to the sun by permitting adequate daylight to get through the façade as shown in
Table 6. The results also show horizontal canopy facing west plays a similar function with the vertical shading. The difference is only 1.1% which may be different with the size of canopy and distance between them. DSP illustrated in the plan is helpful to understand the way of lighting spread and where the weakest area in the classroom.
From the simulation as seen in
Table 6, DSP ranged from 48.3 to 65%, the different levels are rendered by colours. Shortage of light (blue colour) is caused by using blind to protect from the excess light, here above 4300 lux. In order to overcome this shortage, designers can, for example, propose a sophisticated solar reflector to redirect solar radiation into the inner side of the classroom while keeping from sunlight, which creates light to spread widely and uniformly throughout the classroom. However, this paper needs to focus on the methodology of design, and so detailed shading design will be left for further research.
As seen the simulation results, developed software such as DaySim can calculate the quantity of illuminance by DA (Daylight Autonomy) and lighting quality by DSP (Daylight Saturation Percentage). All of them are represented by an average percentage which helps to understand the impact of the quality of light.
4.4. Analysis
This study has reviewed how shading proposal as a part of façade design can be decided through the associated method of passive design and advanced software. It is therefore essential to understand the difference among daylighting indexes tested in this research, which helps to use the index at each design stage. The comparison of the index is illustrated in
Figure 9 which reveals characteristics of the values and should be used correctly to evaluate indoor lighting levels. DA (Daylight Autonomy), DSP (Daylight Saturation Percentage), and SC (Shading Coefficient) are compared with a bar graph to show the difference value. SC drops steeply that is caused by the area of the shadings throughout the year. Shading performance, therefore, needs to configure in seasons which is more practical to figure out shading performance as reviewed in
Figure 7. DA value shows decrease gradually, not steeply, as the value is calculated with an average in the classroom. The high value of DA can be found in the near window, though the brightness does not help for the visual comfort of the student, which increases the average value of DA in the classroom. It means DA value should be considered for the quality of daylighting, not for the quantity. In order to reveal daylight quality, illuminance in DSP ranged between 430 and 4300 lux is presented in which daylight is regarded as useful for users.
SC and DA show similar patterns of performance in the different shading devices while DSP represents the different way in the same shadings. SC and DA are calculated generally regardless of the amount of daylight. Therefore, the physical shading area is the only factor to influence the amount of daylight. DSP, however, is useful to determine what shading canopy implements better than other shapes of shading. The horizontal canopy in the south-facing façade performs the highest average of 64% among other shadings. It means proper daylighting levels ranged from 430 lux to 4300 lux can be maintained in the classroom with an average of 64% over the year. Also, 55% of DSP with no canopy, 57% of DSP with vertical fins, and 58% of DSP with the composite canopy are followed. It supports horizontal canopy is useful to provide useful daylight indoor in the south-facing classroom. SC (Shading Coefficient) varies between 26% and 53% for both south- and west-facing classrooms, while in the advanced software (i.e., DaySim), the DA ranges between 80% to 88%. Both metrics move proportionally in annual performance. For the westerly direction, both vertical and horizontal shadings performed best at 61% and 60%, respectively, while composite shading shows 48% of DSP. Approximately 60% of the occupied time meets appropriate daylighting levels with the vertical fins. However, it is not enough to explain fully for DA to support the vertical fin in the west-facing façade as DA shows the only the quantity of daylighting, not for the glaring risk. DA provides a basis of the illuminance analysis with which electric lighting energy savings, for example, can be estimated DSP can claim which shading shapes are appropriate in each direction with an accurate simulation. From the seasonal analysis of SC, as a passive method, vertical fins show better performance to allow more useful daylight to reach indoor in the west-facing classroom. It supports passive design at the initial stage is vital to provide general ideas of the site and to design according to the environment. The intuitive design process and relatively short feedback time can save time and provide designers with more potential of design with a solid base for the next design process working with engineers.