Keywords

1 Introduction

In the history of architecture, from the Roman vault to the crystal palace of the nineteenth century, the major structural changes in buildings reflected the goal of increasing the amount of daylight that was collected [1]. Daylighting is one of the effective ways to minimize energy consumption as well as satisfy biological and human needs. Humans are affected both psychologically and physiologically by the different spectrums of light. These effects are easily overlooked benefits of daylighting. Daylighting has been associated with improved mood, enhanced morale, lower fatigue, and reduced eyestrain [2]. In 2016, the commercial sector accounted for about 8.59% of the total units of electricity consumed in India (MOSPI 2017) [3]. Lighting and air conditioning account for over 80% of energy end use in a typical commercial buildings in India in which lighting accounts for 59% and air conditioning accounts 31% of energy use [4]. Lighting up spaces generate heat in and around the building, which again increases the cooling load. Daylighting is one of the effective approaches for improving the energy efficiency of buildings. Energy savings from artificial lighting during the daytime with the help of daylight design strategies can have a significant impact on the energy efficiency of office buildings. Windows characterize energy use and daylight level in buildings. Choosing their areas and proportions are early design stage decisions, which are hard to change later. Therefore, window design parameters must be a part of an integrated design process, considering multiple aspects at the same time so that we can get proper quantity and quality of daylighting as well as minimize the total energy consumption of the building [5].

2 Literature Review

The size of the window not only determines the total energy consumption of a building directly through the availability of direct solar radiation but also indirectly through the availability of daylight. The amount of electric lighting indirectly influences the total energy demand for heating, cooling, and lighting due to the heat production by the electric lighting fixture. Cooling load increases as WWR increases, on the other hand, the trend for artificial lighting energy is just the opposite that is it decreases with increasing WWR. Thus, the overall impact of WWR on total energy consumption gives a U-shape curve with a minimum value of energy consumption for a WWR. The minimum value of total energy consumption, which includes cooling load, heating load, and lighting load and optimized WWR varies with different types of building, the orientation of opening, and climate condition of the place [6]. The electric lighting demand is not only influenced by the size of the window. The window position and the window shape also influence the illuminances in a room. In this way, the window position and the window size also affect the electric lighting demand [7, 8].

3 Methodology

3.1 Location and Climate Description

The computer model was evaluated for the climate of Jaipur, Rajasthan, India (26.91°N, 75.78°E). It comes in Hot and Dry Climate zone of India. The summer in Jaipur is very hot while winters are extremely cold. The maximum temperature in the summers ranges between 40 and 47 °C in May, June when in the winter minimum temperatures remain about 4–9 °C. Simulation has been done using the energy plus weather file (.epw format) of Jaipur.

3.2 Building Model Parameters

The study has been done on a hypothetical open plan office model. In this research, only one room is considered without any obstruction in the field of view and ground reflectance. Average floor height for an office building in a high rise is 3.9 m [9]. Office space was chosen as a base case for study with 3.9 m ceiling height. According to the ceiling height, all other parameter has been assigned (Table 27.1).

Table 27.1 List of variable design parameters studied in the research

Shading Device Design. The hours of the day during which temperatures are above adaptive comfort range, and the average direct normal irradiation values are greater than 630.9 Wh/sqm are marked as the overheated period for design shading device.

3.3 Evaluation Criteria for Optimization

Daylight Autonomy (DA) and Useful Daylight Illuminance (UDI) are considered for visual and energy performance assessments in this study. UDI is the percentage of occupied hours of the year when illuminance lies within one of the three illumination ranges: 0–300 lx, 300–2000 lx, and over 2000 lx. It also provides information on excessive levels that could be the cause of glare. For glazing material, LSR (light to solar ratio) (VLT/SHGC) value is considered. The threshold for indoor lighting level is considered 300 lx on a horizontal plane at the height of 80 cm above the floor. Yearly average value of uniformity ratio (minimum illuminance/average illuminance) of daylight has been analyzed for evaluation. Energy consumption evaluation benchmarks included minimal heating, cooling, and artificial lighting load.

3.4 Simulation Process

Due to the number and complexity of the parameters and objectives under study, different simulation engines are combined under the same platform. This way, a single simulation run was possible to provide result data regarding multiple objectives, including heating, cooling, and lighting. For this study Radiance and Open Studio as daylight and thermal engines are selected which are embedded in Ladybug and Honeybee tool. These tools are plugins for Grasshopper tool which is a graphical algorithm editor integrated with Rhino software. To conduct the energy analysis, a simplified BIM model is created in Grasshopper according to predefined building model data (Table 27.1). The room has been simulated as a single unit of a larger office building located in Jaipur, and only one facade was exposed to the outside climate. Ceiling, floor, and internal walls were assumed to face the same thermal environment as the room investigated. The study has been done to analyze the optimized values for south orientation. After parametric modeling, inputs for energy simulation has been assigned which described in Table 27.2. The schedule used for energy modeling is shown in Table 27.3.

Table 27.2 Energy model input data
Table 27.3 Occupancy schedule and equipment schedule

4 Results and Discussion

At first screening, the experiment has been done with a complex system of many design variables to determine most important ones to reduce the number of experimental data for study by stepwise multiple regression for each dependent variable, i.e., total energy consumption, DA, UDI300–2000 lx, and uniformity ratio. Then, the subsequent refined analysis is performed to set the functional relations of how the variables affect the objective functions. Finally, the optimization of design variables is performed to yield the optimum outputs from the derived functions.

4.1 Analysis of Screening Experiment Results

All data were analyzed using Statistical Package for the Social Sciences (SPSS) tool.

Total Energy Consumption. Tables 27.4 and 27.5 present the result of stepwise regression using SPSS. There are three steps that are used to select the controlled variables. For the total energy consumption, the value of S (Std. Error of the Estimate) decreases from step 1 to step 3, R-Sq and R-Sq (adj) in step 3 is higher than step 1 and step 2. Hence, these statistics indicate step 3, which contains independent variables LSR, Shading device, and WWR that better fit to the data. The value of R-Sq is 0.535 (Model 3) which shows that there are 53.5% (R = 0.731) changes are occurred in dependent variable because of changes in the combination of three predictor variables.

Table 27.4 Model summary for total load
Table 27.5 Stepwise regression result for total load

Daylight Autonomy. Tables 27.6 and 27.7 present the result of stepwise regression using SPSS.

Table 27.6 Model summary daylight autonomy
Table 27.7 Stepwise regression result daylight autonomy

There are four steps that used to select the controlled variables. For the DA, the value of S (Std. Error of the Estimate) decreases from step 1 to step 4, R-Sq and R-Sq (adj) in step 4 is higher than step 1, 2 and 3. Hence, these statistics indicate step 4, which containing independent variables LSR, shading device, and WWR is provided better fits to the data. The value of R-Sq is 0.671 (Model 4) which shows that there are 67% (R = 0.819) changes occurred in dependent variable because of changes in the combination of selected four variables.

Uniformity. Tables 27.8 and 27.9 present the result of stepwise regression using SPSS.

Table 27.8 Model summary daylight uniformity
Table 27.9 Stepwise regression result daylight uniformity

The value of S (Std. Error of the Estimate) decreases from step 1 to step 5, R-Sq and R-Sq (adj) in step 5 is higher than step 1, 2, 3, and 4. Hence, these statistics indicate step 5, which contain independent variables depth of shade, no. of windows, WWR, window height, and sill level provide better fits to the data. The value of R-Sq is 0.752 (Model 5) shows that there is 75.2% (R = 0.867) changes are occurred in dependent variable (mean daylight uniformity) because of changes in the combination of five selected variables.

Table 27.10 shows the shared and unique contribution of the independent variable to the dependent variable.

Table 27.10 Shared and unique contribution of independent variable

4.2 Analysis of Most Effective Parameters

Table 27.11 shows the standard deviation results for the summed energy load, DA and UDI300–2000 lx by a combination of shading device—LSR of glazing material and shading device—WWR. According to the data, window material which has 1.13 LSR shows the highest deviation in total load and UDI300–2000 lx both when there is no shading device, but after applying shading device, LSR 0.89 shows the maximum deviation in total load, DA, and UDI300–2000 lx. It shows that these glazing materials are most affected by WWR, and careful consideration is needed when a window system is intended to be installed with LSR 0.89 (with shade), LSR 1.13 (without shade).

Table 27.11 Standard deviation for dependent variables by a combination of parameters

Table 27.12 shows the standard deviation and median results for the daylight uniformity, by a combination of shading device—no. of windows, shading device—WWR and shading device—window height. Data shows that as no. of windows increases standard deviation decreases but the median value of uniformity increases which indicates that more no. of windows give a better distribution of daylight. WWR 20, 30, and 40% have the highest deviation which indicates that these options are most affected by no. of windows, shading device, and window height and careful consideration is needed to choose the parameters. On the other hand, 60% WWR has the least standard deviation which indicates that this option is least affected by other parameters. Window heights 2 and 2.5 m have the highest deviation which indicates that these options are most affected by other parameters. Shading device increases the daylight uniformity.

Table 27.12 Standard deviation for uniformity by a combination of parameters

Without shading device, 60% WWR shows the highest deviation in total load and 20% WWR shows in DA and UDI300–2000 lx. With shading device, 20–30% WWR shows the highest deviation in total load, DA and UDI300–2000 lx, which means these options are most affected by glazing material, and careful consideration is needed to choose the window glazing material when WWR is 60% (without shade) and 20–30% (with shade).

In Fig. 27.1, scatterplot graph with a cubic fit line of the total load, DA, UDI300–2000 lx, and uniformity with different WWRs, window material and shading device show the following.

Fig. 27.1
figure 1

Effect of WWR for each glazing material on energy consumption and daylight

Without shading device, LSR 0.56, WWR = 60% and for LSR 0.89, WWR = 30% gives the minimum total energy consumption. With shading device, LSR 0.56 with 60% WWR, LSR 0.89 with 40–50% WWR and LSR 1.54 with 30–40% WWR gives the minimum total energy consumption. Shading device reduces total energy consumption in all the cases because it reduces the amount of solar gain. Glazing material which has 1.54 LSR had the best performance in both the cases.

When LSR is 0.56, DA and UDI300–2000 lx both increases as WWR increases. When LSR is 0.89, in both the cases with and without shade DA increases as WWR increases and after a certain point of time it reaches maximum but UDI300–2000 lx start to decrease.

Without shading, LSR 1.13 and 1.54 at 20% WWR and LSR 0.89 at 30–40% shows maximum DA and with shading device LSR 1.54 at 30–40% WWR and LSR 0.89 at 40–50% WWR shows the maximum UDI300–2000 lx, Shading device increase the UDI300–2000 lx in all cases.

4.3 Optimization

To identify optimum solution for the window parameter which can give the minimum total load with maximum UDI300–2000 lx and uniformity ratio, binned scatter plot between total load and UDI300–2000 lx has been created and is shown in Fig. 27.2.

Fig. 27.2
figure 2

Binned scatter plot between UDI300–2000 lx and total load for optimization

In the binned scatter plot, binned boxes which fulfilled the optimization requirement has been selected. Selected window parameters which gave the optimized result are mentioned in Table 27.13. Values in cells have been written as Total Load |UDI300–2000 lx| Uniformity.

Table 27.13 Simulation results for the selected parameters for optimization

5 Conclusion

The analysis of experimental office design provided a rank list of important window design parameters affecting total load as well as daylight in the office building. Glazing material was found to be the most significant design parameter together with WWR and shading device for total load and DA. The number of windows, shading device, and WWR were found to be most significant for daylight uniformity. From the study, it can be concluded that indoor daylight quality, quantity, and energy consumption is controlled by a combination of several parameters of building envelope. The optimized parameters will have different characteristics for a different location, building typology, room proportions, and when additional criteria for embodied energy, maintenance cost, surrounding condition, etc., are included.