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Functional Performance

of Buildings

TERM PAPER

MBEM

SPA DELHI

Anurag Biswas

SPA/NS/BEM/636

Fu

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CONTENTS

ABSTRACT 4 INTRODUCTION: 5 RELEVANCE 6 PART I 7

METRICS AND METHODS 7

DAYLIGHT FACTOR 8

Limitations: 9

CLIMATE BASED DAYLIGHT METRICS (CBDM) 9

DYNAMIC AUTONOMY (DA) 10

USEFUL DAYLIGHT ILLUMINANCE (UDI) 10

GOAL ORIENTED METRIC USED IN LIGHTSOLVE 10

METHODS 12 SIMPLIFIED MODELS 12 SCALE MODELS 12 COMPUTER MODELS 13 PART II 14 DIGITAL SIMULATIONS 14

Methods for analyzing the daylight factor 15

DFmean 15 DFmedian 15 Uniformity 15 Daylight zone 16 Measurement grid 16 Example 17 CALCULATION METHODS 18

Accuracy of daylight calculation 18

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2 RADIOSITY 20 RAY TRACING 21 PHOTON MAPPING 22 SKY TYPES 23 The model 24 Geometry 24 External obstruction 25 Surface properties 25 Example 25 User expertise 26

Description of simulation programs 27

Radiance 27 Daysim 27 Desktop Radiance 28 IESve 28 DIALux 29 Relux 29 Ecotect 29

VELUX Daylight Visualizer 30

LightCalc 30

Graphical presentation of the results 31

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TABLE OF FIGURES

Figure 1 DAYLIGHT FACTOR 8

Figure 2 dynamic autonomy 10

Figure 3 lightsolve result of an office with and without external shading 11 Figure 4 mirror box and scale model, belgium building research institute 13

Figure 5 one patch artificial sky 13

Figure 6 mirror box 13

Figure 7 artificial sky, building research institute 13 Figure 8 DF results in a room with two different window configurations, facade

window and roof window 17

Figure 9 DF results in the example room with a window in the facade 17

Figure 10 ecotect analyses 19

Figure 11 Illustration of a window model with 2 layers of polygon to model the

glass (left) and one layer (right) 24

Figure 12 Daylight factor results for the rooms with realistic surface properties

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ABSTRACT

This report presents an overview of the different daylighting tools and the assessment methods and metrics involved behind those tools. Today, daylighting is one of the prevailing issues which govern the design decisions of built environment not only because it ensures the overall well-being of inhabitants but also for energy-saving. Several simulation tools are gaining popularity. This report investigates various tools and methods which are usually used around the world to evaluate daylight quality of spaces.

This report is divided into two sections. Part I describes the metrics and methods of daylight assessments. Part II appraises different simulation tools and the working principles of those tools.

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INTRODUCTION:

Great daylighting design in buildings gives an agreeable brilliant environment, as well as ensures energy savings and healthy and comfortable environment for building inhabitants. Yet, there is still no accord on the most proficient method to survey what constitutes great daylighting design.

Right now amongst building performance guidelines like BRE Guidelines, ‘Handbook on Functional Requirements of Buildings (Other Than Industrial Buildings)’ published by BUREAU OF INDIAN STANDARDS, etc Daylighting components (DF) or least illuminance qualities are the standard. But past and recent exploration has demonstrated the deficiencies of these measurements (Panitz, et al., 2013). New digital tools for daylighting investigation contains new more advanced metrics for daylighting (Climate Base Daylight Metrics-CBDM).

For daylighting design of a project, evidence based outline ought to be sought after either by empirical studies (observed studies of existing built environment or the investigation of physical scaled models) or by digital reproduction. Investigation of the tools usually employed by modelers has shown that, either digitally or physically, yields results which can be varied to some extent (Attiaa, et al., 2012). The two fundamental issues, as highlighted by Attia et al. (2009), are firstly the ease of use and data management of interface, and also the coordination of information knowledge base (Attiaa, et al., 2012).

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RELEVANCE

For climates such as those present in India (tropical) overheating and glare are the main issues. Thus buildings here are designed with over-shaded openings and/or tinted glassed which reduce daylight levels availability. Whereas, sufficient daylighting is also necessary for overall well-being of inhabitants and energy conservation. In todays’ world where energy is the most valuable commodity, where a country’s economy and foreign relations are determined by its energy need or availability, arriving at optimum daylighting design solution for built environments (largest consumer of energy) is need of the hour. So evidence based information are sought after by architects and building professionals. Thus the need for easy to use daylight simulation tools for architects. Survey of current daylight design practices of design teams (in the USA, and Canada), revealed that during the preliminary design stage designers tend to rely on experience from early work or/and rules of thumb and that computer tools are increasingly being used during the design development stage (Galasiu & Reinhart, 2008) .Such practices are yet to pick up its pace in India.

This report evaluates the metrics and working principles associated with daylight assessment tools and explores their capabilities and usability in terms of architects’ point of view.

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PART I

METRICS AND METHODS

To quantify daylight QUALITY in a space, different tools work with either static or dynamic metrics.

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DAYLIGHT FACTOR

Daylight factor is the most familiar static metric. Daylight factor (DF) is defined as the ratio between interior natural illuminance on the work plane and simultaneous outdoor illuminance on a horizontal plane in a perfectly unobstructed view, under an overcast sky. These two values are result of the light received from the same sky, whose distribution of luminance is estimated, with direct sunlight not taken into account.It is expreesed as %.

DF=100* E

interior

/ E

exterior

(%)

Under overcast sky conditions factors

like orientation of glass windows, the season or the time of the day has no effect on the measurement of illumination quality inside a building. Thus they provide a tangible and easily comparable measurement of daylight availability. A room’s daylight factor can be compared with minimum daylight factor values of the room typology to arrive at design decisions. (Cauwerts, 2010)

Daylight factor is easy to calculate through tables or charts, split flux method, scale model under artificial sky, computer tools, etc. But it takes into account the worst sky conditions: the overcast luminance distribution. So evidence from these studies are to be complemented with the information of penetration of sun in the room and glare-risks which change over the years. Also the Daylight Factor value doesn’t clearly show us whether the recommended illuminance value for a specific visual task has been achieved.

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Limitations:

 It does not take into account the climate in which the room is (eg, there is no consideration on which percentage of the year really represent the overcast sky.)

 It does not verify the latitude of the room so does not take into account the course of the sun and sunlight penetration in the room.

 It does not consider the orientation of the glass window.  It provides no information on risk of glare.

 It gives no information about quality of light.

If the architect does not consider the sun penetration, illuminance under favorable sky condition and glare-risks, etc. design decisions solely derived from DF can suggest buildings with too much glazing leading to overheating and glare.

CLIMATE BASED DAYLIGHT METRICS

(CBDM)

Climate-based daylight metrics (CBDM) are dynamic metrics developed on the basis of weather data files. Contrary to static metric, this one considers dynamic illuminance, luminance and glare metrics evolved over the year. The data simulated over the year is quite huge and should be reduced for evaluation of these metrics.

CBDM can be evaluated through dynamic computer simulations or measurements in scale models. CBDM gives information on illuminance, luminance and glare for each point in the space and for each time range (generally an hour).

Some CBDM give temporal analysis whereas others spatial analysis.

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DYNAMIC AUTONOMY (DA)

DA is created by C. Reinhart. Dynamic autonomy (DA) at a point of interest is the percentage of yearly occupied time in which a certain light level is reached through the use of daylight only. Weather data files are used to consider all sky conditions. Dynamic autonomy can be easily calculated for an area of interest with DAYSIM software. DA gives a spatial information.

USEFUL DAYLIGHT ILLUMINANCE (UDI)

UDI is developed by J. Mardaljevic. It is a goal-oriented metric. It shows how fixed satisfying illuminance are spatially annual occurrence of illuminances, which are within the useful fixed range. DAYSIM can measure UDI. UDI values less than 100 lux are considered as too low, between 100 and 2000 lux are considered as useful and more than 2000 lux, are too high and can cause overheating and glare. (Cauwerts, 2010)

GOAL ORIENTED METRIC USED IN LIGHTSOLVE

LIGHTSOLVE is created by J. Mardaljevic. Illuminance metric employed in LIGHTSOLVE is also a goal-oriented metric like UDI. In it we can fix a range of target values and estimates the percentage of space whose performance fall within that range. Thus unlike the UDI which measures the percentage of time for which fixed

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11 illuminances fall on the work plane, in LIGHTSOLVE, it is the percentage of space satisfying the range which is evaluated over the year.

Satisfying illuminance range is fixed in LIGHTSOLVE as well as maximum and minimum acceptable illuminance. On achieving illuminance level outside the satisfying range but not exceeding the tolerable illuminances (maximum and minimum) partial credits are given.

A temporal map graph is shown in the result. X-axis gives the date and the y-axis the time of a day. Thus at one glance entire annual data is perceived.

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METHODS

There are several methods to predetermine daylight availability in a built environment such as:

 SIMPLIFIED MODELS (Tables, charts, diagrams, etc.)  SCALE MODELS (under real sky or artificial sky)  COMPUTER TOOLS (simulations)

SIMPLIFIED MODELS

Simplified models are discussed in ‘Handbook on Functional Requirements of Buildings (Other Than Industrial Buildings)’, 1988 published by BUREAU OF INDIAN STANDARDS, 'Site layout planning for daylight and sunlight; a guide to good practice', 2011 published by BRE, etc. These outline a set of metrics and performance standards which architects and building professionals should achieve usually based on Daylight Factor.

SCALE MODELS

A scaled down model of the built environment is prepared and subjected to analysis under actual sunlight or artificial set-up mimicking original environment. Scale models can be of various arrangements:

MIRROR BOX: Illuminance under overcast sky

MECHANICAL SUN: Penetration of sun in the scale model

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13 (Cauwerts, 2010)

COMPUTER MODELS

There are several simulation programs to analyze daylight quality. These programs are analyzed in the following section.

Figure 7 artificial sky, building research institute Figure 5 one patch artificial sky

Figure 6 mirror box Figure 4 mirror box and scale model, belgium building research institute

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PART II

DIGITAL SIMULATIONS

Today several computer based analyses tools are available to measure daylight quality. But the working principles and background logics are not identical.

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Methods for analyzing the daylight factor

The daylight factor (DF) can be assessed in various ways. It can be evaluated at a specific point in the room to ensure DF levels for specific functions, e.g. at work places, and it can be calculated on floor area or a working plane, depending upon the function of the room. It is recommended to make use of a measurement grid, if the area approach is applied.

DFmean

The DFmean is the average daylight factor for the investigated grid.

DFmedian

The DFmedian is the middle daylight factor when the measured daylight factors are sorted in an ordered list. The median is so a term less dependent on low and high daylight factors in the room, e.g. very low daylight factors farthest away from the window and very high daylight factors close to the window.

Uniformity

The uniformity of the DFs on a work plane can be defined in two ways:

1) Ratio between DFmin / DFmean and 2) Ratio between DFmin / DFmax

According to the assessment method for sustainable buildings BREEAM 2.08 the ratio between DFmin/DFmean should at least be 0.4 or the minimum point daylight factor should be at least 0.8% (Iversen, et al., 2013).

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Daylight zone

A daylight zone in a room can be demarcated as the distance from the facade where the recommended daylight factor is achieved.

Measurement grid

Grid systems should be made to indicate the points at which the illuminance values are evaluated and verified for the immediate surrounding area(s), task area(s) and background area(s). The following is in accordance with the description given in EN 12464-1:2011 and it is recommended to follow this instruction. (Iversen, et al., 2013)

Square or near-square grids are preferred, the ratio of length to width of a grid cell shall be kept between 0.5 and 2. The maximum grid size is given by:

𝑝=0.2 𝑥 5𝑙𝑜𝑔10(𝑑)

Where,

p is the maximum grid cell size (m) ≤ 10 m

d is the longer dimension of the calculation area (m),. However, if the ratio of the longer to the shorter side is 2 or more, then d becomes the shorter dimension of the area.

The number of points in the relevant dimension is given by the nearest whole number of d/p. The resulting spacing between the grid points is used to calculate the nearest whole number of grid points in the other dimension. This will give a ratio of length to width of a grid cell close to 1. A border of 0.5 m from the walls is excluded from the calculation area except when a task area is in or extends into this border area. An appropriate grid size shall be applied to walls and ceiling and a border of 0.5 m may be applied also.

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Example

The examples below show DF measurements over a work plane in two rooms with identical dimensions (3m x 6m x 2.5m) and material properties (floor 0.2, wall 0.5, ceiling 0.8), but different window placement and glazing area. Room 1 is solely illuminated by one large façade window with 5.9 m2 glazing area, and Room 2 is illuminated by a combination of façade and roof window with 2.4m2 glazing area. It’s possible to observe that the DFmedian is a more Sensitive metric than the DFmean in the room evaluation.

From the figures it can be seen that the DFmean is of similar magnitude; 4.0 % and 4.2% within the two rooms. Looking at the room area with a daylight factor above 2%, a difference between 54% and 98% is observed in spite of the average daylight factor being almost equal. Comparing DFmean and DFmedian shows higher difference for the room with large contrasts (Room 1) compared with Room 2. This example demonstrates that the DFmedian and the area of the room with a daylight factor above 2% are more sensitive ways of assessing than the DFmean for assessing the daylight performance of the rooms. (Iversen, et al., 2013)

Figure 9 DF results in the example room with a window in the facade

Figure 8 DF results in a room with two different window configurations, facade window and roof window

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CALCULATION METHODS

Accuracy of daylight calculation

Lighting simulation software has experienced rapid growth in recent years. This is both due to requirements stipulated Building Regulations of European countries and guidelines given by LEED, BREEM, etc. and to a wish from developers and architects to ensure sound lighting qualities of the building. However, it is important not to forget that the quality and accuracy of simulations can be influenced by a number of different factors including:

 calculation method  sky model

 building model  surface properties  user expertise

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SPLIT FLUX FORMULA

The split flux formula is a simple algorithm derived from a manual calculation method established by BRE. This method is based on the principle that the global illumination at a certain point in a room is the result of three distinctive components of daylight:

 the direct sky component (SC)

 the reflections from exterior surfaces (ERC) and  the reflections from internal surfaces (IRC).

Each component is calculated separately and then added up to obtain the global illumination in each sensor point. The internally reflected component is determined by an equation using the average reflectance of interior surfaces, the total glazing area and a correction factor for the external obstruction. Given these approximations, this method is likely to overestimate or underestimate the amount of daylight. It is only recommended to use this method for spaces in which the window openings are parallel to the walls.

The simulation program Ecotect applies this method as default in its calculations.

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RADIOSITY

Radiosity is an algorithm capable of rendering realistic scenes with shadows and diffuse light. It is an application of the finite element method to solve the rendering equation for scenes with purely diffuse surfaces, a method initially developed to study thermal transfer. This method requires the surfaces of the scene to be subdivided into a mesh of smaller patches. View factors between each pair of patches are computed, and the illumination of a patch is determined by adding the contribution of all visible surrounding patches and light sources. This method has constraints that limit its use for daylighting simulations (diffuse surface, complex description of the sky) and it should only be used to evaluate a relatively simple space. (Iversen, et al., 2013)

The simulation programs Relux, DIALux and LightCalc apply radiosity as their simulation engine.

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RAY TRACING

Ray tracing is a rendering technique based on the calculation of the distribution of a large number of rays emitted in a scene – either from light sources (forward ray tracing), or a view point (backward ray tracing) (Iversen, et al., 2013). Backward ray tracing is a faster method than forward ray tracing because it only calculates rays reaching the view point. On the other hand it is less or not suitable for use in cases where light sources are hard to find in the scenes, i.e. narrow light well, light pipe. Ray tracing algorithms support reflection, transmission and refraction properties of surfaces, which permits the use of complex materials in simulations.

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PHOTON MAPPING

Photon mapping is a rendering technique that uses bi-directional ray tracing. A first pass combines forward ray tracing and photon mapping to distribute the light in the room and cache the luminous flux on surfaces. A second pass consisting of backward ray tracing from the view point is then used to compute the final image. This optimized technique permits the simulation of more complex lighting scenes with accuracy, i.e. light pipe, and is faster than the traditional backward ray tracing. (Iversen, et al., 2013)

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SKY TYPES

The nature of daylight is extremely varied and yields a wide range of occurring sky conditions. To this effect, CIE (Commission international de l’éclairage) has defined 15 normalized skies for use in lighting simulation. In addition to these 15 skies, some older sky models remain such as the “Traditional Overcast Sky” which is now referred to as sky type 16.

The figure below shows the relative difference in luminance levels at different angular distance between a sky element and the zenith for sky types 1 and 16. The comparison shows a relative difference above 25% for the sky luminance of the sky element located close to the horizon (80 degrees), which means that sky type 16 will be brighter, or more luminous, closer to the horizon.

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24 This is important to consider when comparing the calculations of different simulation programs, as it can explain some of the differences obtained between programs. For example, when we compare the results obtained between VELUX Daylight Visualizer and Radiance, we can see slightly higher results in Radiance for rooms 1, 2, 3 and 4, whereas the results are slightly higher in VELUX Daylight Visualizer for room 5. This can be explained by the fact that Radiance uses sky type 16 and VELUX Daylight Visualizer uses sky type 1, and the fact that only room 5 had a roof opening (all other rooms were lit solely by facade openings) and thus it was the room that would encounter the largest effect of different sky luminances at zenith.

The model

The quality of the building model used in simulation can significantly influence the quality and accuracy of daylighting simulations.

Geometry

It is important to ensure that the geometry of rooms and daylight openings is correctly modelled and that the correct simulation parameters are used. For example, in most programs when you model window glass you should make sure that you only have one layer of polygon to represent the glass, since that polygon’s material is assigned with the correct transmittance properties of the window pane.

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External obstruction

It is important to properly represent elements influencing daylight on the site, such as external obstruction from surrounding buildings, landscape and vegetation. The effect of external obstruction can be shown by comparing results for the simple room (without obstruction), and the room with obstruction.

Surface properties

Surface properties such as the material type, reflectance and transmittance values will influence the way daylight is distributed in the rooms. It is important to ensure that realistic values are used for the floor, wall and ceiling surfaces, as well as any other surfaces included in the model. It is also important to ensure that the glass transmittance is properly defined, and differentiated between openings using different type of glazing.

Example

In the example below, a scene with realistic surface properties (floor 0.2, wall 0.5, and ceiling 0.7) is compared with a scene with unrealistic surface properties (floor 0.9, wall 0.9, ceiling 0.9). The results show a difference of 22% between the average DF values obtained.

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User expertise

Daylight factor results for the rooms with realistic surface properties (left) and unrealistic surface properties (right).

In order to ensure valid simulations, it is important for users to have a good control of the interface and data entry of the simulation software. It is also important to know the capabilities and limitations of the tools, and to select an appropriate method based on the complexity of the scene to be evaluated.

A study from 2009 made by researchers at Harvard University investigated how correctly daylight simulations were performed by student/new users (Galasiu & Reinhart, 2008). The study showed that typical sources of errors were geometrical errors, such as omitting the thickness of the wall from the model or that the material properties were wrong.

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Description of simulation programs

This section gives a short description of the nine daylight simulation programs applied for this report. The description is based on information available on the respective homepages and information given by the software developers. For each simulation program, links are provided indicating where to find further reading.

Radiance

Radiance is a suite of programs for the analysis and visualisation of lighting in design. Input files specify the scene geometry, materials, luminaires, time, date and sky conditions. Calculated values include spectral radiance (ie. luminance + colour), irradiance (illuminance + colour) and glare indices. Simulation results may be displayed as colour images, numerical values and contour plots. The primary advantage of Radiance over simpler lighting calculation and rendering tools is that there are no limitations on the geometry or the materials that may be simulated. Radiance is used by architects and engineers to predict illumination, visual quality and appearance of innovative design spaces, and by researchers to evaluate new lighting and daylighting technologies. The program is continuously being updated. Useful links: http://www.radiance-online.org/

Daysim

DAYSIM is a validated, RADIANCE-based daylighting analysis software that models the annual amount of daylight in and around buildings. DAYSIM allows users to model dynamic facades systems ranging from standard venetian blinds to state-of-the-art light redirecting elements, switchable glazings and combinations thereof. Users may further specify complex electric lighting systems and controls including manual light switches, occupancy sensors and photocell controlled dimming. Simulation outputs range from climate-based daylighting metrics such as daylight autonomy and useful daylight illuminance to annual glare and electric lighting energy use. DAYSIM also generates hourly schedules for occupancy, electric lighting loads and shading device status which can be directly coupled with thermal simulation engines such as EnergyPlus, eQuest and TRNSYS. Daysim is free.

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28 Useful link: http://www.daysim.com/

Desktop Radiance

“Desktop Radiance is a Windows 95/98/NT software package that integrates the Radiance Synthetic Imaging System with AutoCAD Release 14. Desktop Radiance includes libraries of materials, glazings, luminaires and furnishings so you can quickly create realistic lighting models. The goal is to provide a design tool integrated with popular CAD packages to facilitate the consideration of energy efficient lighting and daylighting strategies in building design.” The development of Desktop Radiance stopped in 2002. Desktop Radiance is included in this report since reference is made to Desktop Radiance for the users of Autodesk Ecotect. It is recommended to download the newest version of Radiance to Windows, as the calculation engine is updated and will be updated continuously. (Iversen, et al., 2013)

Useful link: http://radsite.lbl.gov/deskrad

IESve

In IESve, it is possible to build a geometric model and simulate daylight conditions within this model.

“IES have been using Radiance over a wide range of commercial projects for many years and to facilitate this work IES have integrated Radiance into the <Virtual Environment>. The latest version of this integration RadianceIES provides users with even greater ease of use through its customised Graphical User Interface (known as the <Virtual Environment> Framework), which integrates with all the IES software packages (SunCast, Apache, etc.).”

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DIALux

DIALux can calculate electric light, daylight and the energy performance of electric light. The program is oriented towards the European market, and is widely used for calculation of indoor and outdoor electric lighting systems. It follows different national standard lighting calculations, and can import photometric databases directly from manufacturers. The daylight calculation capabilities within DIALux make use of German standard DIN 5043 and CIE Publication 110. Geometric input is limited to certain shapes. Sky choices are somewhat limited but acceptable for diverse ranges of weather conditions. There is an external radiosity and ray-tracing model, POV-Ray (Persistence of Vision 2010). It is used to produce images from calculation results and for presentation renderings.

Useful link: http://dial.de/

Relux

Relux is oriented towards the European market and the program can calculate electric light, daylight, and the energy performance of electric light. The program can import photometrical databases from manufacturers. Relux applies both radiosity and ray tracing in its simulation engine. It is up to the user to decide what calculation engine to apply for simulation. Useful link: http://www.relux.biz/

Ecotect

“Autodesk® Ecotect® Analysis sustainable design analysis software is a comprehensive concept-to-detail sustainable building design tool. Ecotect Analysis offers a wide range of simulation and building energy analysis functionality that can improve performance of existing buildings and new building designs.“ These simulations and analysis include energy performance of buildings, thermal simulations, solar radiation, daylight levels and shadow diagrams.

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VELUX Daylight Visualizer

VELUX Daylight Visualizer is a simple, validated daylight simulation and visualisation tool for daylighting design and analysis in buildings. “It is intended to promote the use of daylight in buildings and to aid professionals by predicting and documenting daylight levels and appearance of a space prior to realization of the building design. The Daylight Visualizer intuitive modelling tool permits quick generation of 3D models in which roof and facade windows are freely inserted. The program also permits users to import 3D models generated by CAD programs in order to facilitate a good workflow and provide flexibility to the model geometry“.

Daylight Visualizer can be used to calculate luminance, illuminance and daylight factors for all 15 sky types defined in CIE Standard General Sky. Outputs from Daylight Visualizer are image based and post-processed in a GUI, where pseudo colours are applied and pixel values can be exported for further analysis in other software. VELUX Daylight Visualizer has an efficient workflow and intuitive design, which makes it accessible and easy to use.

The program is freely available and can be accessed from the link below. Useful link: http://viz.velux.com

LightCalc

LightCalc is a freely available open-source tool for electric and artificial light simulations. LightCalc has its own calculation engine, based on forward ray tracing and radiosity. The light from the sky and other light sources are included in the simulations through forward ray tracing. Radiosity is applied to calculate the internal inter-reflected contribution.

The program relies on input from the user and has a short calculation time. Through iDBuild, it is possible to couple light simulations from LightCalc directly to hourly thermal calculations. LightCalc is limited to calculation of one single room.

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Graphical presentation of the results

The graphical output from the various simulation programs varies in their expression. Figure 13 shows examples of the graphical presentation of daylight factor levels in the simple room. In the following sections, the results are post-processed in Excel in order to be able to present them in a comparable graphical way. (Iversen, et al., 2013)

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Bibliography

Attiaa, S., Hensenb, J. L., Beltránc , L. & Herdea , A. D., 2012. Selection Criteria for Building Performance Simulation Tools: Contrasting Architects and Engineers Needs. Journal of building performance simulation, 5(3), pp. 155-169.

Cauwerts, C., 2010. Calculation and Design Methods. [Online] Available at: www.educate-sustainability.eu/portal/print/1871 [Accessed 25 NOVEMBER 2015].

Galasiu, A. D. & Reinhart, C., 2008. Current Daylighting Design Practice: A Survey. Building Research & Information, 36(2), pp. 159-174.

Iversen, A. et al., 2013. Daylight calculations in practice , Copenhagen : Danish Building Research Institute, Aalborg Universit.

Panitz, K., Hansen, G. & Ruth, V., 2013. Daylighting Design and Simulation: Ease of use analysis of digital tools for architects, Brisbane: CIB World Building Congress 2013-Construction and Society.

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