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METHODS OF ILLUMINANCE CALCULATION
Estimate proposal of lighting system methods working with average E , L Point calculations Detailed calculation of direct and indirect components of parameters at selected control points Estimation of electric power of lighting system based on table of specific powers (W.m-2 ) Lumen method ● general illumination ● one type of luminaires ● reflected component included ● obstacles not respected
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ESTIMATE PROPOSAL OF LIGHTING SYSTEM
Example of the table of specific power p (W.m-2) for interior lighting to achieve average level of illumination Etab = 100 lx using light sources with luminous efficacy zt = 10 lm .W –1 *) factor is proportional to width w of the room divided by computing height hv [ = w / hv ] . For direct and indirect illumination hv is height of the plane of luminaires over task area. For indirect illumination hv is height of ceiling over task area. Illumination factor *) Walls and ceiling of illuminated area light medium dark dark p (W.m-2) direct 2 25 28 30 2 to 4 19 20 22 4 15 16 18 indirect 42 60 80 36 48 26 32 A illuminated area (m2) Em maintained illuminance (lx) z specific power of sources (lm .W-1) Electric power of lighting system Pp = p . A . ( Em / 100 ) . ( 10 / z ) (W) EN Energy performance of buildings - Energy requirements for lighting
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ESTIMATION OF ELECTRIC POWER OF ROAD LIGHTING
Example values of specific power p (kW.km-1) of road lighting to achieve average road illuminance Etab = 1 lx with selected light sources x) Values valid for : 1. straight road illuminated with luminaires with wide luminous intensity curve with spacing l equal to treble of luminaire suspension height h, luminaire suspension height h = 8 to 14 m, 3. maintenance factor MF = 0,5. road width w (m) luminaires with high pressure discharge lamps metal halide 400 W sodium 70 W sodium 150 W sodium 250 W Specific power p (kW.km-1) for Etab = 1 lx x) 8 0,8 - 1,2 0,4 - 0,7 0,3 - 0,6 10 0,9 - 1,3 0,5 - 0,8 12 1,0 - 1,4 14 1,1 - 1,6 0,6 - 1,0 0,6 - 0,9 16 1,2 - 1,7 - 0,7 - 1,0 18 1,3 - 1,8 0,7 - 1,1 20 1,5 - 1,9 Area of road section A = w ·l Em – maintened illuminance lx Electric power Pp = p . ( Em ) . (road lenght) (kW; kW.km-1, lx, km)
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LUMEN METHOD Total initial luminous flux z of light sources of lighting systém, which are needed to be installed to provide average maintened illuminance by general illumination is determined as (lm; lx, m2) where is maintained illuminance (lx) at task area (usually horizontal plane at height 0,85 m over the floor), A illuminated area (m2), MF - maintenance factor, ηE - utilisation factor. Lumen method is mostla used for estimate lighting proposal
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z = 0,5 Ein = 2 . Em MAINTENANCE FACTOR MF = LLMF · LMF . RSMF . LSF
LLMF – lamp lumen maintenance factor LMF – luminaire maintenance factor RSMF – room surface maintenance factor LSF – lamp survival factor Ein = Em / MF Average at time maximal (initial) illuminance: z = 0, Ein = Em Guide on the maintenance of indoor electric lighting systems CIE 97:2005
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Changes of average illuminance during lighting system operation
Ein = Em / z Maintenance factor Ein MF(t) z(t) Emin= mainained illuminance t1 t2 tk 1 First luminaires cleaning Second luminaires cleaning Luminaire cleaning + light sources replacing + surface cleaning . . .
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LLMF – LAMP LUMEN MAINTENANCE FACTOR
Incadescent bulbs Fluorescent tubes HP sodium lamps Metal halide lamps
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LAMP SURVIVAL FACTOR LSF
Simplified calculation of LSF LSF example Lamps in operation (%) 50 % lamps damaged Lifetime (%)
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Square luminaire placement at the ceiling
CAVITY METHOD Premise : illuminated area is ashlar-shaped + one type of luminaires Ceiling cavity Ceiling Plane of luminaires Square luminaire placement at the ceiling Inner cavity Task area Floor cavity Cavity definition: ceiling, inner and floor Square luminaire placement at the ceiling Parameters are calculated for inner cavity Influence of ceiling cavity - equivalent ceiling cavity reflectance Influence of floor cavity - equivalent floor cavity reflectance
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Geometric parameters of the area
dimensions: c - width ; d - lenght ; h - inner height Room index m Space index k Surface reflectance integral reflectance - average (over surface) values ρ1 - plane of luminaire reflectance ρ2 - wall reflectance ρ3 - task area reflectance
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Average surface reflectance
Average reflectance ρs of surface A ,which contains of n surface parts A1 , A2 , A An with particular reflectances ρ1 , ρ2 , ρ3 … ρn Example: Average reflectance ρ1s of ceiling cavity surface at bottom where ρ average ceiling reflectance, c, d room width and lenght (m), h distance between ceiling and luminaires (m), ρ average reflectance of walls in ceiling cavity.
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