Optimum external shading system for counterbalancing glare probability and daylight illuminance in Sydney’s residential buildings

Purpose – Optimisation of daylight admission through window is crucial for alleviating glare while maintaining useful daylight levels in order to enhance occupants’ health, visual comfort and moderating lighting energy consumption. Amongst various solutions, fixed external shade is an affordable solution for housing spaces that need to be sophisticatedly designed, especially during the period of increasing home spaces as working environments. In the humid subtropical region, daylight control plays an important role in indoor comfort, particularly with areas with a high window to wall ratio (WWR). Due to the insufficient amount of such study on non-office spaces in Australia, shading-related standards are not addressed in Australian building codes. Design/methodology/approach –The chosenmethodology for the research is a quantitative data collection and analysis through field measurement and simulation simultaneously. The first step is a multi-objective optimisation of shading elements through a non-dominated sorting genetic algorithm (NSGA-II) on parametric modelling via Rhino3DCADand simulation engines (DIVA and ClimateStudio). In the second phase, the Pareto front solutions are validated by experimental measurements within a room with a single north-facing window (the most probable for the daytime glare in Sydney) for the seven most common local window configurations. Findings –Through the simulation of ten genes, 1,560 values and 2.43 1,019 of search space, this study found an optimum shade for each local common window layout, resulted inþ22% in (UDI) and 16% in views with discomfort glare on average. Moreover, an all-purpose polygonal shade showed an average of 4.6% increase in UDI and a 5.83% decrease in the percentage of views with discomfort glare. Research limitations/implications –The findings are subject to the room dimensions, windowdimensions and layouts, and orientation of windows for selected residential buildings in Sydney. Originality/value – The study contributes to the development of highly accurate fixed external shading systems with rectangular and tapered-form external shapes. A real-time measurement by luminance-metre sensors and HQ cameras located at six eye levels is conducted to corroborate simulation results of the visual comfort.


Introduction
Australia is distinguished by the frequent bright and cloudless skies even in winter, whilst European countries experience overcast skies during winter that are deemed critical in terms of daylight illumination and window design (Kittler and Darula, 2019). Useful Daylight illuminances (UDI) has a significant role in the maintenance of indoor comfort. The COVID-19 pandemic, which has brought an increase in indoor home spaces as working environments (Hu, 2020;Wuersch and Neher, 2020;Morawska et al., 2020), is growing the importance of the study on residential indoor visual comfort matters, especially regarding the reciprocal relationship between avoiding glare and indoor daylight access. During the daytime, the primary glare resource is windows which let in direct sunlight. It is advisable to intercept excessive luminance into space. In order to use incoming sunlight effectively, the light sources would be controllable. To alleviate the harsh glare, all fenestration subjected to direct sunlight should have to be equipped to handle glare with some sort of sun control (ASHRAE, 2009), which is the paper's main aim. In addition, efficient use of sunlight illumination convinces us to use shading systems to prevent unsolicited insolation and the connected glare (ASHRAE Design_Guide, 2015).
Much of the current literature on glare pays particular attention to office spaces. So, the dwelling spaces are not studied as much in this context. Qin and Li (2021) simulated a lightcontrolled shading system on building energy consumption using eQUEST software based on a light environment by Ecotect for a 32-storey office in Wuhan, China, with an average window to wall (WWR) ≈ 0.73 (curtain wall). They provided no field measurement and experimental validation. Garret on et al. (2021) conducted an experiment finding the relationship between glare, the view to outside, and daylight availability for a roller blind system using HDRI technique for a 1 3 1 m window was oriented to the north-east in Argentina. Their experiment ran on sunny days between April and May 2019 from 9 a.m. to 4 p.m. (Garret on et al., 2021). Huo et al. (2021) conducted a sensitivity analysis of parameters for cooling demand and shading performance for a six-storey residential building in China. Park et al. (2021) carried on a field study to investigate the interrelationship between desk workers' satisfaction, workstation lighting, and the working area environmental characteristics. They studied the effect of five shading device types. Sedaghatnia et al. (2021) performed a multiobjective optimisation (using Ladybug and Honeybee) as well as on-site measurement to assess glare, daylight and energy saving for an educational building with WWR of 0.3 and 0.6 in Tehran, Iran. Tabadkani et al. (2020) analysed an external motorised Venetian blind to control solar radiation to mitigating thermal and visual discomfort. The simulation is ECAM performed via EnergyPlus. They used two indoor sensors in a single office room in Melbourne, Australia, with WWR is 90% to assess DGI and task horizontal illuminance in order to adjust the Venetian blinds. They did not validate the simulation result by field measurements. Through a field comparison test, Huo et al. (2020) quantified the external shading effect on the southern windows of a five-row residential building with an orientation of 108 south by the west in Zhengzhou, China, in terms of thermal-optical performance. The southern wall WWR is 40%. The parameters were monitored in the hottest period. Wang et al. (2020a) investigated the effects of shading and ventilation of windows on an office in a highrise building energy demand and thermal comfort in China from uncertainty analysis, sensitivity analysis and multi-objective optimisation. The windows, in this case, are oriented south and west. Luo et al. (2020) evaluated the automated interior motorised blinds effect on visual comfort, daylighting and electrical energy savings through simulation for an openplan office in China. The window is oriented south, and the WWR is 72%. Kunwar et al. (2020) the effect of dynamic Venetian blinds on Energy savings, glare, and daylight availability in commercial buildings in the US through experimental testing. Their experiment is performed from March 28th to September 14th. The test rooms were oriented East, South, and West. Abidi and Rajagopalan (2020) conducted an investigation on daylight admission into high-rise living spaces in Melbourne, Australia, to find the optimum opening size and shape. Wu et al. (2019) studied automated Venetian blinds effect on indoor work-plane illuminance (WPI) and daylight glare probability (DGP) using HDR imaging techniques in Lausanne, Switzerland during winter. Ghadi et al. (2017) proposed fuzzy-based controllers with the integration of daylight for institutional buildings in Queensland, Australia (see Figure 1).
So far, far too little attention has been paid to Australian dwellings indoor visual comfort. Most studies in glare and useful daylight have only been carried out in a small number of building types. The research to date has tended to focus on offices rather than dwelling spaces. Hence, the generalisability of much-published research on this issue is problematic. Previous studies of glare have not dealt with residential spaces in much detail. In addition, no research has been found to survey different possible eye levels (including standing and seated) because the majority of studies have considered the working plane level. Apart from Hirning et al. (2014), there is a general lack of subjective research, HDR imaging technique and whole-room field measurement. As there have been few empirical investigations into indoor visual comfort in the Australian residential sector, there is no clause regarding glare alleviation. Only a single clause identifies minimum illuminance in the Building Code of Australia (BCA). Pierson et al. (2018a, b) claimed that as of 2018, regardless of glare effect rankings, there are no current indices on human glare discomfort perception. They found that it might be because the discomforting glare governing mechanism is not rightly understood since there is no plausible scientific justification for it. They also state that current predicting indices cannot determine an absolute threshold of an occupant's glare perception. In 2021, the most cited Pierson et al. (2021) concluded, whereas "more than 20 models for predicting discomfort from daylight glare have been developed, none accurately predict it." These indices portend the grade of perceived discomfort glare approximately. This approximating function has been the best means to assess glare comfort as of 2018 (Pierson et al., 2018a). Bellia et al. (2008) expounded the indexes related to artificial lighting (VCP [1], BGI [2], and UGR [3]) are not applicable to evaluating glare from windows because of the excessive solid angle to the glare source as well as greater luminance of the seen sky rather than an equivalent artificial lighting fixture with the same size. Nazzal has also found that UGR and VCP are not valid for daylight glare evaluation (Nazzal, 2001). Therefore, based on mentioned discussion, the DGP [4] formula is used to assess glare in this paper. Daylight Glare Probability (DGP) was the more recent index developed by Jan Wienold and Jens Christoffersen in 2006 (Pierson et al., 2018a). Where: ω s,i is the solid angle (angular size of the glare source as seen by the eye) of ith source (window) [sr]; P i is the position index relative to the ith source (window).
As Nazzal claims, the procedure of Equation (1) can be used regardless of window size, shape and position (parameters w, h, e and f in Figure 3) are assumed constant in every case simulation (Nazzal, 2005). However, a significant problem with applying fixed shading is finding the optimum features that alleviate discomfort factors while maximising comfort parameters. The issue has grown in importance in light of recent studies trying to devise movable shading systems (Kim et al., 2019;Wang et al., 2020b). In the sense of glare reduction, internal shading devices are less contributive since they block the sun rays after penetrating the room. But the exterior shades show the more efficient performance due to blocking the direct radiation and abating heat transmission simultaneously (Khoroshiltseva et al., 2016). Previous studies of daylight-related matters concerning Australian construction have not been dealt with in much detail regarding Australia's local conditions and construction (Gonz alez and Fiorito, 2015;Lavin and Fiorito, 2017). The research to date has tended to focus on offices (Scott Linney, 2008;Iwata, 2010;Wienold, 2010;Atzeri et al., 2013;O'Brien et al., 2013) rather than dwellings (Wong and Istiadji, 2004;Babaizadeh et al., 2015). Although extensive research has been carried out on glare, no studies have been found applying field tests to comprehensively delineate the relationship between daylight glare and daylight illuminance and external fixed shading system for dwelling spaces in the sub-tropical climate of Australia.
The major objective of this study is to find an affordable and easy-to-install external shading system alleviating glare in Sydney residential spaces while not sacrificing useful daylight illuminance. This shading system does not need any sophisticated mechanical fixtures or occupants' operation. Therefore, this study sets out to assess the effect of adding shading on moderating glare and daylight illuminance. Simulations were performed by plugins DIVA (Jakubiec and Reinhart, 2011) and ClimateStudio (Sollema, 2020). The method used in this project is a genetic-algorithm based approach (Tuhus-Dubrow and Krarti, 2010;Omidfar, 2011), which connects a parametric design to simulation engines like Radiance, Daysim, OpenStudio, etc., to simulate daylight and glare, and are validated by experimental measurements.

External shading for residential buildings
In this study, any slight change in each independent parameter (dimensions and inclination of shading elements) is compared using NSGA-II (non-dominated sorting genetic algorithm for multi-objective optimisation) introduced by Deb et al. (2000). This algorithm "finds any Pareto optimal solution in a finite number of solution evaluations" (Deb, 2001). The analysis in this study is conducted through Wallacei evolutionary engine (Makki and Showkatbakhsh, 2018) to find the Pareto front [5] for near-optimum shading elements and their features. The first and second fitness objectives are daylight glare probability (to be minimised) and UDI (to be maximised), respectively. For each predefined window layout, the objectives are deeply sensitive to the subject's relative horizontal and vertical position to the window as well as the time of year. The form-finding process is done for two options for each window configuration case, first, a set of rectangular elements and second, a tapered irregular shade. Geometrical parameters of shading elements such as size, inclination and cutting angles are optimised accurately in order to minimise glare probability and ample solar radiation, holding outdoor view and useful daylight illuminances.

Indoor comfort assessing methods
International Commission on Illumination (CIE) defines glare as "the condition of vision in which there is discomfort or a reduction in the ability to see significant objects, or both, due to an unsuitable distribution or range of luminances or to extreme contrasts in space or time" (Commission_Internationale_de_l'Eclairage, 1983). Daylight glare assessment is more complicated than artificial lighting due to dynamically changing sky luminance distribution over time (Torres and Verso, 2015).
Regarding the lack of a standardised dependent measure and global consensus of opinions on glare's statement of meaning (Clear, 2013), useful daylight illuminances (UDI), proposed by Nabil and Mardaljevic (2005), is the method to evaluate daylight illuminance in this paper. In this method, illuminance greater than 2000 [lux] leads to the emergence of glare Mardaljevic, 2005, 2006). When horizontal illuminance over a work plane reaches over 3,000 [lux], this unlocks the potential for glare (Torres and Verso, 2015). The daylight availability metric of UDI divided hourly time into three main categories: 0-100 lux (failing), 100-2000 lux (useful) [6] and over 3,000 lux (excessive) (Nabil and Mardaljevic, 2006;Mardaljevic, 2015). The purpose of the UDI system is "to approach the data first from a human factors perspective, and then reduce it to compact metrics". and making output from a climate-based simulation comprehensible without renunciation of the vital performancerevealing content of the raw data. It disengages researchers from analysing the extensive mass of data gathered through conventional means, such as frequency histograms, cumulative plots, etc. (Mardaljevic, 2017). This is the main reason for choosing the UDI metric (out of three main metrics of spatial daylight autonomy, annual sun exposure (ASE) and UDI). Nazzal believed most glare evaluation formulae only consider horizontal illuminance, which is inadequate for assessing a subject's comfort (Nazzal, 2001). Pierson et al. (2018b) analysed subjective glare ratings and the values of discomfort glare indices as the most common approach to evaluating the glare. The main physical quantities are (1) the glare source(s) luminance in people's field of view ( Figure 2), (2) the solid angle of the glare source(s) (see Figure 3) (3) the luminance of the background ( Figure 2) and (4) the position index of the glare source(s) (Commission_Internationale_de_l'Eclairage, 1983;Einhorn, 1969) (see Figure 5). A glare index is defined as an analytical assessment of HDR [7] images using numerical formulae educed from experimentation on human subjects (Reinhart and Wienold, 2011). According to previous studies, the main categories of glare are imperceptible, perceptible (noticeable), disturbing and intolerable (Pierson et al., 2018b).

ECAM
In addition to the factor method, threshold method and task area method, a point-in-time glare analysis method is used in some daylight-simulation software (Pierson et al., 2018b). The latter is the method utilised to analyse glare in this paper.

Methodology
This research critically examines the probability of glare and useful daylight for local residential buildings in Sydney, Australia, then analysing the external shading effect on these matters. With a realistic and thorough assessment, the authors considered six possible occupant's eye levels (both seated and standing positions) in eight view directions within a room. Therefore, this research project has aimed to try to establish the optimum external shade that does not need to be operated by occupants. The project starts with comprehensive care of local climate and window layouts to find the discomfort situations, then simulating best shading features to bring optimum regulated glare and daylight access. Every single solution gained from the Pareto front is validated by field measurement before and after adding shading elements. Therefore, this paper leaves two final options of shading system for designers and practitioners in NSW, Australia to have visually comfortable residential spaces: a single rectangular shade on each side of a window or an elaborated tapered form of shade.
The research framework comprises four phases: (1) Gathering meteorological data and local window layouts; (2) Measure indoor parameters through field measurement; (3) multicriteria optimisation simulation, and (4) Validation of optimum solution by field measurement. All these steps are followed for both rectangular and tapered polygonal shading elements. Figure 2 illustrates the block diagram of the research.

Building modelling and simulation
Different shading feature alternatives for a North orientation have been calculated for a single dwelling room located in Sydney (33851 0 S 151812 0 E), in the south-eastern part of Australia, to assess the glare and daylight illuminance. To simulate annual glare analysis and hourly DGP, the authors have assumed a single room of 4 3 6 3 3 m with a single north-facing window located at Sydney Olympic Park (33.84658 S,151.07228 E) (Table 1). With only one side (4 3 3 m) facing outdoors (Table 1). The room is modelled in Rhino3D [8] and then analysed by DIVA (daylighting and energy modelling plug-in for Rhino3D) using Radiance and Energy Plus, trusted by the industry under different window layouts setup. The effectiveness of various dimensions and tilt angles for shading elements are simulated and analysed.
A multi-objective simulation is used to obtain empirical results about the performance of fixed shading elements. Local weather data were gathered from EPW [9] files. Finding the optimum shading systems and shading element features, which is the fundamental property luminance of the glare source (window) Direct glare Indirect glare (depends on surface reflectance factor) Figure 2. Perceptible glare on May 3rd 10:00 a.m. under clear sky condition for a northfacing window located at Sydney Olympic Park shows 36% perceptible glare using DIVA External shading for residential buildings Figure 3. Block diagram of the research ECAM of this project, begins with simulation. It will then go on to experimental measurement. The solution sought is a local optimum solution for Sydney's climate.

Experimental setup
To analyse annual glare and daylight illuminance analysis for a north-facing window (for seven different cases), a room of 4 36 3 3 m with a full-façade north-facing window located in Sydney Olympic Park, NSW, Australia is chosen. To measure the metrics for each window layout, the authors covered the remaining surface of the window with a completely opaque multilayer cardboard. As the simulation and measurement mainly focus on daylight, the cover sheets' thermal properties are not important. Table 1 shows the material properties for the given room. Within the given project, a network of virtual and accurate sensors considered to measure DGP, illuminance, etc., are located on a 1 3 1 m grid at different eye levels (see Appendix) to assess the glare and daylight parameters and compare the position index. The virtual sensors provide input for simulation through ClimateStudio, DIVA (which use RADIANCE), and the findings are validated by data gathered from the actual sensors (field measurement).
Regarding the window layout, De Luca et al. (2016) stated that with the aim of optimising the result for the Northern Hemisphere, the horizontal layout is the efficient choice for southfacing façades but for the east and west-facing ones, the vertical layout is better. The solar altitude is too low during the entire year, making horizontal shades ineffective or very long. Therefore, in these situations, the better option could be vertical fins (Haglund, 2010).
To assess the glare probability for each position, eight view directions were considered (four cardinal directions and for inter-cardinal), meaning for each position index, eight different possible fields of view were simulated. To ensure a comprehensive simulation, the six most common ergonomically eye levels are deemed as 1.1 , 1.2 and 1.3 m for seated people as well as 1.5 , 1.6 and 1.7 m for standing individuals (see Appendix). Hence, for each hourlybasis analysis, there are 1,680 subjective virtual eyes to evaluate DGP. The results demonstrate that under clear sky conditions, for almost all eye levels, an intolerable or disturbing level of glare is possible all year long. On the contrary, the simulation of annual glare analysis for a south-facing, east-facing and west-facing window shows there is a limited range of daytime/dates of occurring discomfort glare, which reiterates the importance of developing solutions for north-facing windows. Since glare is not critical for other directions in Southern Hemisphere, this research focuses on north-facing windows.
2.2.1 Simulation parameters. The vertical illuminance is simulated before and after adding shade, measured by accurate sensors and a luminance metre. Figure 4 depicts the direct correlation between vertical illuminance at the eye level and glare probability. Such data collecting by field measurement were used to validate the simulation result as well.
Three parameters that can affect the solid angle and position index are shown in Figure 5. External shading for residential buildings between the subject's eye and the centre of window and c is the subject's eye height ( Figure 5 and Table 2). The window-related variables are considered constant for each case, and the position-related ones are defined as genomes. Equation (2).
For w, h, and l, refer to Figure 5. This formula can be applied to the whole window. The solid angle subtended by the window (Ω pN ) to the point of observation is (Nazzal, 2001) [10]: To measure the luminance window gains from sunlight, some internal parameters assumed the window length (w), window height (h), and the window corner (p) coordinates (e and f) define the relative position of the window to the building envelope. The effective height of the room (3 m) is assumed constant, as there is no wide range of options regarding codes and standards. Internal parameters mean variables are related to the building's features.
To create the worst-case scenario, the reflectance ratio of the window is considered equal to 1, which means all sunlight can pass through the glass pane, and the sky conditions are set as "clear sky with sun" all year long.
The external parameters include the time (hour, day and month) of a given year. Narrowing down the possible times for glare, the authors excluded the period in which the sun is under the horizon from the time-related genome range. Therefore, daytime (5:30 a.m. to 6:30 p.m.) with 30-min increments has been considered the time parameters. Table 2 provides the breakdown of parameters.
Any slight change in each independent parameter (mentioned in Table 2) created by the DIVA plug-in is compared using NSGA-II (non-dominated sorting genetic algorithm for  Table 2.

Independent parameters breakdown
External shading for residential buildings multi-objective optimisation) introduced by Deb; this algorithm "finds any Pareto optimal solution in a finite number of solution evaluations" (Deb et al., 2000;Deb, 2001). The sensitivity of the NSGA-II technique was demonstrated in a report by Deb, Agrawal, Pratap and Meyarivan in 2000 (Deb, 2001). The objectives defined through Wallacei X™ analytic engine (Makki et al., 2019) are DGP and UDI due to finding the most probable daylight glare while not sacrificing daylight autonomy. Setting the window dimensions and position (w, h, e, and f in Table 2) as constant, the authors have created 7 cases which are commonly used locally to Sydney Olympic Park (see Table 3); 10 genes (a, b, c, d, x, y, z, l, t and r), 1,560 values, 2 fitness objectives and 2.4 3 10 19 of search space are defined in the optimisation simulation process. The fitness objectives in the multi-objective simulation are: (1) Maximising Useful Daylight illuminances (decreasing the need for artificial lighting).
This optimisation process finding situations with a high probability of glare is undertaken for every cardinal and inter-cardinal direction. Unlike the typical optimisation problem solving, in this research, the authors tracked every single generation (which is at least 100 generations) to find a wide range of near-optimum shade. Only cases that include north-facing windows are reported in this paper due to the prevailing adverse condition of DGP and UDI.
In addition, to find the worst-case scenario, it is assumed there is no existing shading effect (buildings, trees, shading elements, etc.) exists.

Field measurement.
According to Bellia et al. (2008), calculating the glare source (and window) is not so lucid to be assessed by luminance meter or by videography techniques. Having a reliable assessment of this factor, in addition to photography, surface luminance uniformity should be taken into account.
Parallel to simulations, data were collected from multiple sources at various time points during the experiment. It was considered that quantitative measures would usefully supplement and extend the Simulation results. Luminance meter, light sensors ( Figure 6 and Table 4), NoIR [11] camera and high-quality fish-eye camera (Figure 7), as well as the human  HQ camera at eye level for every sensor locaƟon Table 4. Equipment used to measure metrics Figure 7. Validating DGP simulation data by taking HDR images of HQ cameras and human subjects' assessment. Every virtual sensor in simulation is replaced with a camera and human subject to assess data gathered from simulation ECAM a space" (Nabil and Mardaljevic, 2006). Assuming cardboard material (reflectance: 87.56%, specular: 3.83%, diffuse: 83.74%, roughness: 0.1) for shading element focusing on extreme situations using NSGA-II algorithm found the near-optimum shade elements dimension minimising discomfort glare while not affecting daylight autonomy significantly. Table 5 shows the results. The findings of near-optimum shading elements (Table 5) are (1) For full-width windows, the ratio of the total shade area to the window area is nearly 90%; (2) There is no clear relationship between WWR (window to the wall) and TSW (total shade area to window area) ratio; (3) To avoid glare discomfort, existing vertical shade on the eastern edge of the window is inevitable, but there is no need for the western edge. As Sedaghatnia et al. (2021) stated, for all orientations, the glare probability patterns are similar all year long except the west. Park et al. (2021) reported that regarding overall lighting conditions, desk worker's visual satisfaction is at the highest level (90%) in the offices with external and internal shading devices. The optimised external shading elements shown in Table 5 brings an increase in UDI for all cases, from þ2% to þ57% for case N-05 and case N-07, respectively. The average increase in UDI is 21.57%, which means receiving adequate daylight illuminance obviates the need for switching lights when the sky is clear more than 20% of operation time. It is worth noting that the reflected sunlight from the inner side of shading elements plays a significant role in illuminating indoor. Abidi and Rajagopalan measured the horizontal illuminance at desk 80 cm above the floor in 12 bedrooms located in Melbourne. For NW, large windows 2,093 [lux] and 78 [lux] were measured for the point next to the window and the farthest corner from the window, respectively (Abidi and Rajagopalan, 2020). Adding the shading elements in Table 5 brings an average of 3,608 [lux] for all cases in Sydney (from 1,375 to 8,236 for the case N-05 to case N-01, respectively). This average luminance is adequate for performing a job as well as a living. Abidi and Rajagopalan reported sDA 5 84% for the mentioned room (Abidi and Rajagopalan, 2020).
For cold regions in China, Huo et al. (2020) reported that the external shading could reduce the glare probability, but it brings no significant advantage to alleviating indoor discomfort glare. They also stated, "if an external shading device greatly decreases the indoor luminance, the external shading may increase the indoor glare risk" (Huo et al., 2020). Sedaghatnia et al. (2021) reported a 68% glare decrease and a 70% increase in daylight access. They declared, "a space with higher illuminance values does not lead to disturbing glare if shading based on climate and sky conditions is in place". This study proves adding suggested external shades reduces sDG by an average of 16% (from zero to 37.5% reduction for case N-01 and case N-05, respectively) which means discomfort glare probability reduction for Sydney. Figure 8 summarises the changes that external shade brings for each case. It is worth mentioning for the full-façade window (case N-01), the added shade increases discomfort glare probabilities. Building Code of Australia (BCA), Vol. 2 identifies the external shading "is capable of restricting at least 80% of the summer solar radiation" (ABCD, 2019). The shading elements in Table 5 comply with the national code.
The shade illustrated in Table 5 is a single solution that satisfies all-year daytime needs. When the task plane (desk, kitchen counter, etc.) is fixed, the results of analysing the taskplane are as shown in Table 6.
Finally, finding an all-purpose single shade feature could keep DGP and UDI needs within the acceptable range for all types of windows (case N-01 to N-07) and consolidates all results External shading for residential buildings

Shade features Annual metrics for shade added Result
Case N-01     Table 6, resulting in a shading system depicted in Figure 8. This final result was put in simulation again. The final results showed a deviation of 6.5 and 8.2% for DGP and UDI, respectively in case N-01; 5.3 and 5.2% for DGP and UDI, respectively in case N-02; 3.5 and 6.2% for DGP and UDI, respectively in case N-03; 5.3 and 5.9% for DGP and UDI, respectively in case N-04; 3.1 and 4.7% for DGP and UDI, respectively in case N-05; 4.2 and 4.7% for DGP and UDI, respectively in case N-06; 4.3 and 5.9% for DGP and UDI, respectively in case N-07 (see Figure 9).

Conclusion
This study determined the effect of an external shading system on a north-facing window located in Sydney, Australia, aiming to mitigate discomfort glare and maintain daylight provision at the highest possible level. Several attempts have been made to evaluate and quantify indoor visual comforts within the buildings. The majority of studies focus on office spaces for some limited window layouts (see Figure 1). To the authors' knowledge, only a few studies have discussed the impact of shading systems on residential indoor visual comfort for Sydney, Australia, which takes all year long daytime hours into account. In this study, we conducted a thorough simulation and experiment that validates the shading system attributes. This study is not limited to a particular time of year and considers all common window layouts that designers use. Two-step simulation (before and after adding the shading f: 0.30h or 0.24w which is greater; g: 0.32h or 0.25w which is greater. Figure 9. A single solution of shading system could be assumed to be installed on all layout north-facing windows in Sydney, alleviating DGP while keeping UDI at the highest possible level External shading for residential buildings elements) was utilised to assess the shading effect on the parameters. Two-step field measurement (before and after) confirms the design validity. A set of multiple sensors and measuring devices on different eye levels measured the metrics thoroughly. Considering eight directions to assess DGP at six different eye levels (three seated and three standing) and measuring illuminance at different possible working levels make this research a rigorous study on home offices. According to the literature review, some studies on the effect of shading systems, evaluate mentioned objectives individually but not integratedly. Therefore, there has not been done before for Australian dwelling spaces. This research can benefit architects to determine an affordable optimal shading of different window layout at decision-making stages for residential buildings in Sydney, guiding the efficient application of external shade to maximise indoor visual comfort and decrease daytime electric lighting requirements.
Few studies have been carried out using field measurements to meticulously demonstrate the relationship between external fixed shading systems and indoor glare probability and useful daylight illuminances in Australia. Accordingly, this study addresses the gap by quantifying the effect of external shading on the indoor visual comfort for the most common window layouts in Sydney, Australia. According to the results achieved by the field measurement and simulation, the main conclusions are drawn as follows: Adding a three-element external shading system (two vertical on eastern and western sides and a horizontal one on the top edge of the window) can regulate indoor spaces visual discomfort (glare and excessive daylight). The most prominent finding to emerge from this study is that a horizontal shade element of at least a length of 50% window height is helpful in alleviating mid-day visual discomfort. Depending on window layout, the vertical elements of length 20-30% window height on the eastern and western sides of the windows significantly affect visual comfort while not blocking the view to the outside and not intercepting useful daylight. Taken together, findings suggest a role for external fixed shade in promoting indoor visual comfort.
Therefore, it seems that exerting external shading elements as an affordable solution (rather than motorised shadings, phase-changing materials) À that is operation-free À contributes to the existing knowledge of designers in Sydney, Australia.
The findings in this report are subject to at least three limitations. First, the room dimensions; second, window-customised dimensions and layout; third, the orientation of the window and forth, shading effect cast from surrounding objects (building and trees). The current study has only examined two visual comfort parameters-glare and useful daylightand some other factors like spatial thermal comfort, daylight autonomy, energy usage and carbon footprint are excluded. Therefore, the current investigation was limited by daylight illuminance and glare probability. What is now needed is a cross-national study involving the view to the outside factor, which evaluates the external shade effect on obstructing the view to the outside. This research has thrown up many questions in need of further investigation. It is recommended that more research be carried out in the following areas: dynamic shading, shading effect of surrounding objects and integrated indoor comfort assessment.