Method 2 This method is based on luminous flux of a light source calculated form required illuminance of the room.

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Design of room illumination Method 1 Simple method used for preliminary design of illumination system. Calculation requires uniform placement of light fittings over illuminated area. The result depends on illumination type, reflection coefficients of room surfaces, room height etc. Required electricity input of lighting system : 10 Ereq P = p. A. η 100 [W] z p..relative input due to specific illumination output of light source A.illuminated surface (room surface) [m 2 ] η z specific illumination output of light source [lm/w] (Fig.3) E req required illuminance [lx] (the luminous flux density at a surface, lumens per m 2 ) Room factor w µ = [-] h v w.room width (shorter room dimension) [m] h v height of light sources above the reference level direct illumination light fitting indirect light source reference level 0.85 m h v h v Method 2 This method is based on luminous flux of a light source calculated form required illuminance of the room. Ereq. A φreq = z. [lm] η e φ req required light h source luminous flux [lm] E req required illuminance [lx] (average for the surface) A illuminated surface (room surface) [m 2 ] 1

z η e maintenance factor utilization factor Utilization factor h e The factor depends on a light source luminous flux distribution, reflectance of walls and ceiling and a shape of room. Usually given by producers of lighting systems for each light source separately according to room index m and reflection coefficients of floor, walls and ceiling. Room index a.b m = hv.(a + b) h v height of light sources above the reference level a,b..room dimensions You may use for factor definition also Fig. 6 Maintenance factor z The factor describes a changes of luminous flux from light source caused by ageing, fouling as well as changes of reflexivity of room surfaces. Values are usually between 0.5 0.7. Minimum value is 0.5. z = z z. z s. z po. z fz z z light source ageing z s light fitting ageing and fouling z po room surface fouling light source reliability z fz Design of light fittings and light sources number A) Light fitting The first step is a choice of light fitting with certain light sources inside. Then we have the luminous flux of one light fitting (producer catalogue requred). The ratio of required light source luminous flux φ z and luminous flux of one light fitting φ sv gives the number of light fittings. φreq number of light fittings: n = φ φ f = η f. φ fs [lm] f B) Light source Direct calculation of light source number without definition of fitting number. The problem is, that sum of light sources luminous fluxes is not equal to luminous flux of light fitting the efficiency and wave interference decreases the sum. φreq number of light sources: n = φ η fs fs φ req required light source luminous flux [lm] 2

φ f luminous flux of one light fitting [lm] φ fs luminous flux of light sources in the fitting [lm] η f light fitting efficiency (0.6-0.8) [-] η fs light sources efficiency [-] Fig.1 Residential building lighting Room required artificial illuminance [lx] Overall room lighting with local lighting 50-100 Overall room lighting without local lighting 200-500 Dining room 200 Kitchen 100-150 Bedroom 100 Corridor 75 Bathroom, toilet 100 Fig.2 Local lighting (some activities) Dining table Reading, writing, drawing etc. Writing desk Filigree, sewing, modelling, etc. Reading on the bed 200-300lx 300 lx 500 lx 300-750 lx 150-200 lx Fig. 3 Specific illumination output of light source [lm/w] Light source h z [lm/w] R a [-] Common light bulb 10-18 100 Halogen bulb 20-30 100 Mercury-vapour lamp 40-60 10-60 Compact fluorescent tube 40-87 80-90 Linear fluorescent tube 50-110 40-80 Metal-halide lamp 60-130 70 High pressure sodium-vapour lamp 70-150 25-60-85 Low pressure sodium-vapour lamp 100-200 0 Fig. 4 Relative electric input p required to reach the average illuminance E = 100 lx related to specific illumination output of light source 10 lm/w Room factor µ Illumination [-] direct mixed Light surface Reflectance > 50% Room walls and ceiling Mediate Reflectance 30-50% Dark surface Reflectance <30% <2 25 28 30 2-4 19 20 22 >4 15 16 18 <2 42 60 80 2-4 28 36 48 3

indirect >4 20 26 32 <2 56 86 160 2-4 36 56 106 >4 26 40 74 Fig. 5 Reflectance factors for different surfaces and colors White 0,75-0,80 Beige 0,60-0,70 Yellow light 0,60-0,70 Yellow - dark 0,50-0,60 Red light 0,40-0,50 Red dark 0,15-0,30 Green light 0,45-0,65 Green dark 0,05-0,20 Blue light 0,40-0,60 Blue dark 0,05-0,20 Brown 0,12-0,25 Brown light 0,40-0,60 Brown dark 0,15-0,20 Black 0,01-0,03 Firebrick 0,25 Sand light 0,50 Gypsum white 0,80-0,92 Marble 0,55-0,80 Granite 0,40-0,50 Wood light 0,30-0,50 Wood dark 0,10-0,25 Asphalt 0,10 Concrete paving 0,30 Earth 0,08-0,20 Steel 0,28 Aluminium anodized, polished 0,75-0,85 Glass mirror 0,80-0,90 Window with bright glassing (outer side) 0,10 Window with bright glassing and white curtain 0,30-0,40 Snow 0,75-0,80 4

Fig. 6 Utilization factor η e A) Light bulb 5

B) Light tube 6

Fig. 7 Maintenance factor z A) Light source ageing z z Factor z z defines drop of light source luminous flux during lifetime. (bulb lifetime 800 1000 hours, tube lifetime 8000 hours) 1 2 3 4 5 1 - Common light bulb 2 - Linear fluorescent tube 3 - High pressure sodium-vapour lamp 4 - Mercury-vapour lamp 5 - Halogen tube B) Light fitting ageing and fouling z s Fouling and ageing of light source is the most significant influence to luminous flux decrease. Fouling may be eliminated with regular cleaning. The factor definition requires proper 7

designation to one of six categories. If the light fitting corresponds to more than one category, than use lower category number. Time dependent change of fouling coefficient z s for categories I to VI and different levels of cleanness of the space. I II III IV V VI Light fitting classification (acc. to standard ČSN 36 0450) 8

Category Upper lamp-shade Lover lamp-shade I 1. None 1. None II III IV V VI 1. None 2. Transparent, openings 15 % 3. Translucent, openings 15% 4. Opaque, openings 15% 1. None 1. None 2. Grid or lamina 1. None 2. Transparent, openings 15 % 3. Translucent, openings 15% 4. Opaque, openings 15% 2. Grid or lamina 1. Transparent, no openings 1. None 2. Translucent, no openings 2. Grid 3. Opaque, no openings 1. Transparent, no openings 1. Transparent, no openings 2. Translucent, no openings 2. Translucent, no openings 3. Opaque, no openings 1. None 1. Transparent 2. Transparent 2. Translucent 3. Translucent 3. Opaque 4. Opaque Proportion of the space pollution Dirtiness Rising in the environment very clean vč clean č Environment average p dirty š none low production apparent high production very dirty vš very high production Transport form surrounding Level cleaning (filtration) none scarcely any low high very high excellent very good average low none Dirtiness adhesion none low average (significant after long period) high (significant in short period) very high Example operating room, laboratory, office, studio, classroom, residential rooms, restaurant, gymnasium, light industry heavy industry, paintshop, room with solid fuel boiler the same as previous lights are placed in the space of direct pollution 9

C) Room surface fouling z po This factor defines the illumination decrease due to the reflectance of room surfaces drop. Use minimum time period 2 years. Činitel snížení odraznosti povrchů v různých prostředích vč, č, p, š, vš. Months D) Light source reliability z fz basically two cases: - defective light source immediately changed z fz = 1,0 - defective light source changed only for entire light fitting z fz 1,0 t z light source lifetime 10