1. Introduction
Daylight, as a renewable and permanent source, has positive effects on building occupants, including psychological, mental, and physiological. The dynamic nature of daylight can cause issues such as heat gain and visual discomfort, which need to be controlled in real-time operation [
1]. In 2020, even while economies bent under the weight of COVID-19 lockdowns, renewable sources of energy continued to grow rapidly, and electric vehicles set new sales records. More than 40% of the actions required are cost-effective. Space heating in the European Union accounts for 60% of energy demand and 80% of direct CO
2 emissions in the building sector [
2]. Global energy consumption growth declined by 4% in 2020, in the context of the global pandemic, contrasting with an average 2%/year over the 2000–2018 period and a 0.8% slowdown in 2019 [
3]. In the European Union (EU), they can potentially reduce the EU’s total energy consumption by 5–6% and lower CO
2 emissions by about 5% [
4]. Daily data collected for more than 30 countries, representing over one-third of global electricity demand, show that the extent of demand declines depends on the duration and stringency of lockdowns. On average we find that every month of full lockdown reduced the demand by 20% on average, or over 1.5% on an annual basis [
5]. Therefore, focusing on methods to optimize the energy efficiency and promoting sustainability in the building’s component while considering the quality of indoor spaces has been one of the trend topics among researchers [
6,
7,
8,
9,
10,
11,
12,
13]. In Iran, artificial lighting is reported to contribute up to 25% of electricity consumption in office buildings [
14]. Considering the significance of sustainable and efficient buildings in the rate of energy consumption in the total energy consumption rate [
15,
16], it is, therefore, important to develop methods to minimize the electricity usage for lighting through best practice design decisions [
17].
One efficient method is to utilize daylight in buildings which is a common way of reducing energy consumption since it reduces the need for artificial lightings during the day and, thus, the reduction of electricity usage [
18]. In response, smart design approaches on the type, pattern, size of shading device, and the effect of daylight on occupant behavior have been investigated in several studies [
19,
20,
21,
22].
Nowadays, there are many highly glazed facades, which provide daylight and pleasant external views. At the same time, the risks of having high thermal loads should be considered in the design stage by using shading devices and controlling shading patterns in facades with large windows or transparent elements [
23,
24]. Several designs for building façades have been developed to provide comfortable conditions for occupants [
1]. A comprehensive and multi-objective framework for designing shading devices has been suggested by scholars, in which there are two main steps: (1) the search of non-dominant solutions and (2) multi-criteria decision making (MCDM) [
25]. Accordingly, the optimization of shading devices design in buildings normally involves making a balance of the following objectives: maximizing energy efficiency through daylight and improving the occupants’ visual comfort.
The literature in modeling and simulation of shading devices deals with models for calculating solar properties of shading devices and approaches for obtaining these results by using building energy simulation tools. Moreover, the influence of the orientation of the shading system was examined. Some of the relevant research is shown in
Table 1.
On the other hand, the source of inspiration for designing a shading device in this project was one of the ornamental elements in the historic architecture of Iran. Muqarnas (used ornaments), indeed, is one of the most sophisticated ornaments, which has been considered a symbol of Islamic architecture [
35]. Muqarnas originally belongs to the early 10th century, and they have changed to a great extent over time in terms of their design and construction methods in different geographical areas, from East Asia to Spain and West Africa [
36]. It is considered a complex element for decoration that initially aims to create 3D facades involving shadow and light by using unparalleled lines and to develop more surfaces to apply more micro decorations [
37]. Although there are four different types of muqarnas based on 3D geometry and 2D pattern plan [
38], in their geometric patterns, the existence of a five-pointed star and pentagonal shape is common [
39]. Used to respond to the required light in space, the five-pointed star and pentagonal shape have formed dynamic and fixed shading devices, respectively, through an accurate parametric modeling process in grasshopper coupled with Rhinoceros 3D software (
Figure 1).
Thus, this research tries to address the challenge of designing an optimal window for office spaces by which the rate of energy consumption would be low and the rate of occupants’ visual comfort would be high. However, this paper goes further to fulfill this gap by analyzing the results of the multi-objective evaluation and developing a computerized model of responsive envelope based on visual comforts index assessment: the evaluation of Daylight Autonomy (DA) and Useful Daylight Illuminance (UDI), Daylight Glare Index (DGI), Daylight Glare Probability (DGP), energy consumption, and, more specifically, Energy Use Intensity (EUI) to achieve the features of an efficient envelope.
To that purpose, different daylight and shading strategies coupled with energy efficiency objectives have been investigated by scholars [
40,
41,
42]. Similarly, this study aims to develop a protocol for optimization of a sun responsive shading device, by which the energy usage by optimized daylight performance would be achievable. Thus, a comprehensive review of the current state of literature of the optimization of dynamic shading devices and design of shading device for energy efficiency and optimized daylight is followed by the proposed methodology and an example of its implementation. This research aims to study the effect of dynamics parametric facades on optimal control of glare and access to maximum optimal illuminance in an office room.
2. Materials and Methods
To optimize the shading device, this study proposes a framework for the evaluation of Daylight Autonomy (DA) and Useful Daylight Illuminance (UDI), Daylight Glare Index (DGI), Daylight Glare Probability (DGP), energy consumption, and, more specifically, Energy Use Intensity (EUI) in office buildings and employs an optimization method to minimize the energy consumption and optimize the daylight. To see the detailed research workflow, see
Figure 2.
The basic measurements in the process of optimization are performed by performance simulation software. Then, this method will be checked in a case study of a typical office building located in Tehran, Iran, to determine the most appropriate shading device dimensions. The results from the application of the suggested optimization method in the studied case will be followed by a thorough discussion of the selection criteria (
Figure 3).
In this respect, the proposed models of shading devices for the studied office building were parametrically modeled in Rhinoceros using the Grasshopper plugin. Generated patterns were then used as the shading device of the window in the studied office space (
Figure 4). In the next stage, different analysis, according to the goal of this research, was performed including energy performance analysis (Energyplus and Honeybee), daylight-related variables, and occupants’ visual comfort (Ladybug and Honeybee). Simultaneously, to have a general comparison between fixed and dynamic options and to find the optimal opening ratio of dynamic options, a multi-objective optimization by using the Colibri component in Grasshopper was performed.
To begin with, the simulation process of this paper comprises of two parts. Before modeling shading devices, to validate the model, MIT Reference Office was used as the base model, and then required modifications were added to turn it into our case study [
43]. Firstly, the initial idea of shading design in this research is derived from Chinese knot patterns and “Muqarnas” in Iranian architecture
Secondly, light and energy consumption of the case study were simulated using Ladybug and Honeybee plugins in Grasshopper. The dates used for simulation were the spring equinox (3/20), the summer solstice (6/21), fall equinox (9/22), and the winter solstice as (12/21). These days are the most critical in terms of daylight, which was why the performance of the case study on these days would check the workability of the proposed shading device throughout the year according to previous studies. In this way, on the selected days, the position of the sun is the highest, lowest, or in the middle, and the lengths of daytime are the longest, shortest, and in the middle range. Thus, patterns of daylight, from only these 4 days, could be fully understood. This method has been used widely in the analysis of daylight and its impact on the performance of the windows and the building [
44,
45]. The case study for analysis was a simple south-facing office room (like the Reinhart reference room) in an office building in District 6 of Tehran (
Figure 5).
In this study, to simulate and control selected variables, some assumptions were considered, which are described below (
Table 2). Based on Tehran climatic data, dynamic shading and reflection of the sun were selected from the average sky with the sun by CIE standard for instantaneous calculations and annual calculations of the sky based on climatic data. The simulation has been conducted for working hours from 7:00 to 18:00. Energy simulations are performed annually and daily in four critical days throughout the year and over a one-day and 24-h interval, followed by three 9-h values. In addition, for simulating daylight for glare and brightness analysis, three times, 9:00, 12:00, and 15:00, during these four days were considered for energy optimization and to select simultaneous optimization of light and energy. The cooling and heating fuel is electricity. The thermal loads and coefficients included in the models of this research are based on the configurations and application of defaults to Honeybee algorithms for closed and open office space.
In the simulation of energy plus energy output, the wall materials were designed and selected according to the status quo, and in the simulation of daylight and radiance analysis, the reflection of interior walls, floor, and room ceilings were 50, 20, and 70, respectively. The percentages for the outer walls are 50% for the inner envelope section and 35% for the outer envelope [
47]. U-values are calculated using Honeybee_EnergyPlus Construction by adding different layers of materials in each envelope according to the construction details of the case study (
Figure 6).
The U-value for the outer wall is assumed to be 0.365 W/m
2K. Double-glazed window glass is transparent and uncoated, with a visible light transmission coefficient of 77%, a U-value of 0.65 W/m
2K, and a reflectance coefficient of 1.52 (
Table 3).
Window dimensions: for envelope optimization, the ratio of window to wall area is assumed to be 40%. The floor of the North and South windows is 80 cm from the inside floor and the size of the window above the finished ceiling is 26 cm.
Daylight Sensors: the sensors predicted for this room are located 0.5 m away from each other at the height of 80 cm (
Figure 7).
Semi-transparent dynamic external envelope defaults: the envelope material is semi-transparent with a reflectance coefficient of 35%. The semi-transparent materials pass through part of the light but scatter part of it all around. In this study, to evaluate the envelope performance, shaded window options, fixed shading with 20% pop-up, 70% pop-up, and finally parametric with minimum and maximum pop-ups between 70–20% were considered.
Other settings: since the radiance software calculates the interior light with reflection spectra and reflections from the surrounding environment, it was chosen to increase the accuracy of the simulation settings as set out below. These settings were selected assuming the case samples and the radiance defaults were to achieve higher accuracy, less fluctuation, and error (
Table 4).
3. Discussion and Results
Among the criteria for measuring the dynamic daylight in office space, in this study, two main indicators, Daylight Autonomy (DA) and Useful Daylight Illuminance (UDI) were selected for analysis. DA (Daylight Autonomy) is a widely acceptable indicator for determining the frequency of light for various activities using only daylight [
48]. It has been proven that the threshold for illumination in the office is 300 lux [
49], and the daylight autonomy is shown as 300 DA, which means the average percentage of time in a room is above 300 lux. The initial stage of study (
Figure 8) focused on four different types of windows, namely: base model (without shading device), type 1 (fixed shaded window with maximum porosity area of 70%), type 2 (fixed shaded windows with maximum porosity area of 20%), and type 3 (the dynamic shaded window with minimum and maximum openings of 20% and 70%, respectively).
The simulation results imply that while DA was by far higher in shading device type 1 in all studied hours, it showed the biggest differences between studied hours in spring and fall and the smallest differences in summer and winter. For type 2, the rate of DA did not show any notable changes of more than 10%, whereas type 3 and type 4 had considerable changes in their patterns at different times of the year. Therefore, among the studied alternatives (types 2,3, and 4), in terms of DA percentage, type 3 had the highest rate and it was followed by type 4, and type 2, respectively (
Figure 9).
The next step in the discussion is studying the effect of constant and dynamic external shading on useful daylight. To be more precise, the second set of simulation results, such as daylight autonomy analysis, room illumination in three windowless modes (base model), and fixed shading, as well as dynamic and responsive parametric shading to establish a useful daylighting interval between 1800–300 lux based on fundamental studies, [
36] has been analyzed for more space in the room (
Figure 10).
In this regard, the percentages of the average time that the lattice points on the work surface in the room receive intervals above 1800 lux, below 300 lux, and between 300 and 1800 lux, are calculated. The sensors were positioned at a grid surface of 50 cm in width and 80 cm from the floor of the room (desk surface). To compare two fixed shading models with porosity percentages of 20% and 70% and a parametric model with minimum and maximum percentages of cavity area between 20% and 70%, the results were assumed and compared with the baseline model (without shading).
The results of the analysis were presented graphically and, finally, the ratio of useful daylight illumination to the covered area sensor points was compared to study the effects of shading (
Figure 11,
Figure 12 and
Figure 13). The results of the useful lighting modeling were analyzed in intervals above 1800 and between 1800–300. Percentages above 1800 can cause overheating and excessive temperatures of over 300 due to inadequate daylighting, requiring more artificial light. One of the advantages of this criterion for Daylight Autonomy was considering three useful intervals, above the maximum and below the threshold. By comparing graphical analysis (UDI > 1800), it was found that the room without shade received the highest amount of illumination above optimal, with excessive and average heat. On the first day of January, the percentages of optimal illumination percentages in shading device type 2 were 3.12%, 2.08%, and 1.04% at 9 a.m., 12 a.m., and 3 p.m., respectively. The first results in October showed a 1.04 percent increase in optimal brightness at noon.
Therefore, by comparing the optimal useful brightness and the useful brightness above the optimal constant brightness envelope with a porosity of 70%, 17.27% more than the dynamic parametric envelope received daylight usefulness, and 0.06% less than the dynamic parametric envelope above the maximum brightness (
Figure 14). It is desirable and, in comparison, the performance of a constant envelope with a porosity of 70 is more than parametric with a minimum and maximum of 20–70.
In the next step, different shading devices were analyzed for glare, inside the room. The observer stands in a room 5 m away from the window and in the middle of the room while the height of the observer is assumed to be 2 m. Evaluation is done with two criteria of daylight glare index (DGI) and daylight glare probability (DGP), illustrated in
Figure 15 and
Figure 16.
The diagrams show that the lowest glare is related to the fixed shading shell with 20% porosity, and then the dynamic parametric shell. The probability of glare in the dynamic parametric shell compared to the baseline state (without canopy) decreased by 13.8% on 21 December at 9:00 a.m., 23.7% at 12 noon, 14.95% at 3 p.m., and 3.54% on 21 June at 9:00 a.m. Noon shows a decrease of 4.39% and 3 p.m. shows a decrease of 3.59%. The probability of glare in the dynamic parametric shell, compared to the baseline, decreased by 5.35% on 20 March at 9:00 a.m., 11.44% at noon, 5.65% at 3 p.m., 5.28% on 22 September at 9 a.m., and 10.31% at noon. Percentage at 3 p.m. shows a decrease of 6.37%.
Then, the total energy consumption including heating, cooling, electric lighting, and a load of consuming equipment for the studied office room was analyzed and the results were calculated with the EnergyPlus output motor and analyzed in Excel software (
Figure 17). The results show that the fixed shading device (70%) performed better than the other fixed option and, in general, the dynamic option had a better level of performance than the two other options.
Comparative analysis:
Comparing the research-dependent variables (related to visual comfort) with each other: while the base model had mostly among the highest DA and UDA, in terms of PIT (Point In Time) brightness analysis and GDP, it is a high-risk option. As far as fixed shading devices are concerned, the first one (20%) had by far the lowest DA and UDA and in GDP it had no superiority compared to the other options and, in general, the second fixed shade (70%) performed better. Finally, the dynamic option had a lower DA and UDA than the fixed shading device (70%) on most studied days (
Figure 18).
Summarizing the results and comparing the energy efficiency, the total energy consumption for heating, cooling, and lighting is presented in the following diagram (
Figure 19). This graph shows that while using shading devices the rate of energy consumption has increased compared to the base model, the dynamic shading device shows better performance on most occasions than other options.
Optimization:
Finally, to check all possible options in increasing the reliability of the results and to find the optimal condition of the dynamic shading device at each time and each hour according to the visual comfort and energy consumption variables, a multi objectives optimization process was launched. According to the results of the study of visual comfort variables by simulation in Rhino environment, HoneyBee Plus, and Ladybug Plus, and due to the multivariate nature of this research, to select the best options, it is advised to use the Calibri plugin in Grasshopper and transfer the results to Design Explorer. The appropriate option was analyzed and the results showed the superiority and efficiency of fixed canopy with a porosity of 70% of the cavity area compared to the other cases (
Figure 20).
The next step is selecting the optimal condition for studied dates and hours. Due to the multivariate nature of this research, to select the best options, the Calibri plugin was used in the Grasshopper and the results were transferred to Design Explorer. The minimum area of openings was within the range of 50–20% and at intervals of 5%, and the maximum area of openings was in the range of 50–70% at intervals of 5%. A total of 105 modes were created by considering the minimum and maximum between the above values in the dynamic outer shell, which was performed for all 105 models of light and energy simulation and scoring indicators of the lead system, and the best options in the studied dates (
Figure 21,
Figure 22,
Figure 23 and
Figure 24 and
Table 5,
Table 6 and
Table 7).
From the best options extracted from the optimization process, the following conditions for each hour of the selected date were achieved. Indeed, the results show how we can achieve the optimal daylight-related variables and consume less energy. Similarly, performing this analysis for the rest of the studied dates could guide us in setting opening rates for dynamic shading at each time of year.
While the results of the simulation differ for this date and the previous one, interestingly the optimization process reaches the same answer. This helps the researcher to achieve the optimal option without ignoring one specific date. In the following section the results of optimization for the other two dates are presented.
Finally, taking all different dates and hours into account, the optimal range for opening the dynamic shading is determined (
Table 8). This means that it is now possible to set a schedule for the dynamic shading that shows how it should act at different times of the year.
4. Conclusions
While designing building elements seems to be a straightforward task to do within the design stage, due to different and sometimes conflicting design objectives, it can be very challenging. As glazing areas are among the most critical elements of each space and by using shading devices, architects have been trying to control daylight and improve the performance of the building in general. This research aims to answer the question of how we could decide about the optimal shading device in office spaces. A novel procedure for designing shading devices for an office building in Tehran by considering daylight and energy performance as objectives was presented to select the optimal option. Therefore, through a sophisticated state of the art method, adaptation of building to the environment to provide occupants with comfort and energy-saving was conducted. There are two main categories of option; a fixed shading device with a different opening rate, and a dynamic one that can change the opening rate, inspired by one of the elements in traditional Islamic architecture (Muqarnas).
The result implies in almost all critical days of the year (the spring equinox as 20th March, the summer solstice as 21st June, the fall equinox as 22nd September, and the winter solstice as 21st December) fixed shading with 70% opening in most conditions works better than the other fixed option with 20% opening in terms of energy consumption and daylight-related variables. Moreover, the performance of the dynamic shading device is by far better than all other options in all senses of the word. Finally, to determine the ratio of the opening part in a dynamic shading device, all possible options were analyzed and the result for three different hours of studied dates were listed. As these dates are the most critical days in terms of the position of the sun and the length of the day, we could make decisions about the whole year based on these dates, which have been among acceptable methods in daylight analysis.
While this research demonstrated the better performance of the dynamic shading device as an example of responsive facades and found the opening range for this device for different times of the year, it also showed that the proposed method is workable, and it could be used for a similar challenge in different functions and climate conditions to optimize occupant’s visual and thermal comfort. The authors also must acknowledge the limitations of the work. Although analyses using equinox solstice could reflect the behavior of the studied object throughout the year, it has its limitation as it is based on 4 days of the year. Moreover, the view provided by the window is an important criterion that was not considered in this research. For future studies, considering a wider range of variables, including view, and using a machine learning algorithm that can facilitate this process is highly recommended.