1、)a PJ f ISBN 3 900 734 66 6 COMMISSION INTERNATIONALE DE LCLAIRAGE INTERNATIONAL COMMISSION ON ILLUMINATION INTERNATIONALE BELEUCHTUNGSKOMM ISSION CALC,ULATIONS FOR INTERIOR LIGHTING BASIC METHOD CIE 40 - 1978 CIE 40.1-1996 Revision 1 Unchanged technical content, English version with three-language
2、summary U DC: 535.24 628.97 Descriptor: Photometry Interior lighting CIE 40 78 I 9006345 OOOLb02 T57 W C.1.E. TECHNICAL COMMITPEE REPORT NOTE PRELIMINAIRE Ce rapport a t.prpar8 pat le C0mit.Technique CIE 1.5. 11 a t approuv par la majorit du Comit, dans lequel sont repcbscnts la plupart des Pays Mem
3、bres de la CIE t il cet recommand pour 1Ctude et lapplication. Ce rapport nest pas une Reconneandation Officielle de la CIE approuve par les Comits Nationaux des Pays Membres. I1 doit le plan utile est suppos matrialis par une paroi qui sera compte comme une des parois du local; les parois rflchisse
4、nt suivant la loi de Lambert et ont des facteurs de rflexion uniformes; le flux direct sur le plan utile ne varie pas dune faon significative suivant la direction des luminaires dans le plan horizontal. Voir galement la publication CIE 52, Calculations for Interior Lighting: Applied Method. ZUSAMMEN
5、FASSUNG Berechnungsverfahren fr Innenbeleuchtung: Basismethode Der vorliegende Bericht stellt eine Methode vor, die als Basis fiir Methoden in der Praxis dienen kann. Sie beschrnkt sich nicht auf standardisierte Lichtstrkeverteilungen und regelmige Leuchtenanordnung. Die Voraussetzungen fr die Anwen
6、dung der Basismethode sind die folgenden: der Raum wird vereinfacht gedacht als ein rechteckiges Parallelepiped; die Nutzebene wird als eine Raumbegrenzungsflche angenommen; die Raumbegrenzungsflchen reff ektieren nach dem Lambertschen Gesetz und mit gleichmf3igen Reflexionsgraden; der Direktlichtst
7、rom auf der Nutzebene ist nicht wesentlich verschieden fr Quer- und Lngsaufhngung. Siehe auch Publikation CIE 52, Calculations for Interior Lighting: Applied Method. CIE 40 i6 OOb345 OOOLbOb bT2 = -7- CRLCULATIONS MR INTERIOR LIGHTING BASIC METHOD 1. Introduction This report presents a basic method
8、which does not rely on standard light distributions for luminaires and is not restricted to regular ar- rangements of luminaires. The method is called a “basic method“ because it serves as a basis for applied methods. Another report is envisaged with standardised data to be used for applied methods.
9、 The method can be used in situations where : a. the interior is a rectangular parallelepiped i b. the working plane can be assumed to be materialized by a surface, that will be counted as one of the room surfaces ; c. the room surfaces reflect uniformly and according to L-amberts law, with reflecta
10、nces Ri of the ceiling, R2 of the frieze (defined as those parts of vertical surfaces which lie between the ceiling and the plane of the l*i- naires), R3 of the walls (defined as those parts of vertical surfaces which lie between the plane of the luminaires and the working plane) and R4 of the worki
11、ng plane (s), and d. the direct flux on the working plane does not vary significantly if the luminaires are rotated about their vertical axis (*d. 2. Direct flux on the working plane P4 In order to determine the direct flux on the working plane, it is assumed that the flux emitted by the luminaires
12、in a cone having as its axis the (vertical) 60, O i 75, 5 ; 90, O degrees. (x5dThis is the case for most fluorescent luminaires. In the case of obvious (*xx)The limiting half-angle values for these four zones are : . ._ Previous page is blank . ._ . . CIE 40 78 9006345 0003607 539 -8- method, these
13、four zonal fluxes FC1, FC2, FC3 and FC4 (iL) characterize the doisnward light distribution, F being the total light output of the luminaire (upward and downward) . In these conditions .the flux (fu) received on a rectangle from a symme- trical pointsource located vertically above a corner of the rec
14、tangle, is a linear function of the fluxes, FC1, FC2, FC3, FC4. The weighting factors al, GM2, GM3, mi4 (u) are themselves functions of the ratios X/H and Y/R of each of the sides of the rectangle to the sus- pension height H (fig. i). These factors multiplied by loo0 are given in tables 1.1 - 1.6.
15、Example : If X 5 2,25 m, Y = 3,30 m and I = 1,s m : X/H .+ 1,s and Y/ = 2,2. From table 1.4 follows : These values are given in thousandths, so that M1 = -12 : GM2 = 218 i GM3 = 47 ; GM4 = -4. fu = ( -12 FCl + 218 FC2 + 47 FC3 - 4 FC4 ) / loo0 By applying the operations escribed above four times, on
16、e can obtain, for a given installation in the room, the direct flux (Fu) received on the working plane from a given lunaire. Pu 0 CGMl.FC1 + CcM2.FC2 + CW.FC3 +CGM4.FC4 Example : For a room (-*I with A = 3 m, B = 4,s m and X = 185 m a ceiling mounte luminaire is located at a distance X = 2,25 m from
17、 the long wall and at a distance Y = 3,30 m froin the short wall. The pairs (x/ i Y/) *a* to be considered for the four rectangles are 8 . (1,5 ; 2121, (0,s 1 2,218 (0,8 8 1,s) t (0,s 8 018). Consulting tables 1.4, 1.2. 1.2 and 1.1 : (*I FC : cumulated flux (-1 GM : geometric multiplier kk*I “A is a
18、ssumed to be the smaller and B the longer side. (*il In view of the arrangement of Tables 1.1 - 1.6 the pairs are given with the smallest value as the first. -. . I -. .I . . CIE 40 78 900bL45 000Lb08 475 -9- X/H Y/n GM 1 GM2 GM3 GM4 1.5 2.2 -12 218 47 -4 0.5 2.2 189 -4 36 -6 0.8 1.5 147 117 -13 2 0
19、.5 0.8 267 - 78 -31 -5 - - ,- - C Mln591 Z GM2=253 L GM3= 101 Z GM4=13 from which follows : Fu = (591FC1 + 253FC2 + 101FC3 - 13FC4) / IO00 The direct flu F4 is the sum of the fluxes thus obtained for each luminaire of the installation. 3. Interflections The interflections are calculated assuming tha
20、t the total illuminance (direct illuminance increased by ref lectc? illuminance) is distributed uniformly respectively on the wholc eciljng-frieze, on the walls and on the working plane. O In these conditions and for the usual dimensions of interiors thennitual- reflections only depend in practice o
21、n the relationship of the suspension factor J of the luminaires and the room index K defined by (fig. 2) : H2 AxB J= K- 2 + i13 83 (A + B) A and B being the sides of the room, 113 the istance between the plane of . the luminaires and te working plane, ana R2 the height of the frieze (distance betwee
22、n the ceiling and the plane of the luminaires). 4. calculation of Illuminances If (NM) is the number of luminaires in the room, F is the total light output of a luminaire FC4 is the downward flux of one luminaire, F4 is the flux which is directly incident on the A and B are the sides of the room. (u
23、pward and downward), working plane from all the luminaires and The mean illuminances El on the ceiling, E3 on the walls and E4 on the working plane are calculated by means of the following linear functions of F, FC4, F4 : E1 RM11. (NM).F/AB + RM12. (NM).FC4/AB + RM13.F4/AB E3 * RM31. (NM).F/AB + RM3
24、2, (NM).FCQ/AB + RM33.F4/AB E4 = RM41. (NM) .F/AB + RM42. (NM) .FC4/AB + RM43.F4/AB The weighting factors R (e) are given in tables fI.l to 11-24 (u) k)RM : fnterflections ( in first column number 8873 mean K - 0,6 and 1, 3, R4 = 873 consulting table 11.1 first line (LI RMl1 = 1,255 RM12 = -0,889 RM
25、13 = -0,189 RM31 = 0,418 RM32 = 0,222 RM33 = -0,465 RM41 = 0,473 RM42 -0,064 RM43 - 0,719 if A and B are in metres, illuminances are in lux. 5. Calculation of installation fluxes If E1 is the mean illuminance on the ceiling and frieze, E3 is the mean illuminance on the walls, E4 AB is the area of th
26、e working plane, (NM1.F is the total flux, (NM1.FC4 is the flux in the lower hemisphere and F4 is the flux emitted directly by the installation to the working plane, is the mean illinninance on the working plane, The latter three quantities are calculated by means of the following linear expressions
27、 : (NM).F/AB = MR11.El + MR13.E3 + MR14.E4 (NM).FCQ/A = MR21.El + MR23.E3 + MR24.E4 F4/AB 5 MR31.El + MR33.E3 + MR34.E4 The coefficients MR are given in Tables 111.1 - 111.24. Example : for J - O ; K = 0,6 and Ri, Ri, R4 - 873 (*I the following coefficients are read at the first line of Table 111.1
28、: MRl1 = 0,200 MR13 = 1,W MR14 = 0,700 MR2 1 =-O, 800 MR23 = 1,523 MU24 f 0,776 MR31 =-0,202 MR33 t-0,523 MR34 3: 1,ooO (i) The tabulated values are in 1/1O (*e) The same notation is used as in Tables 11.1 - 11.24. . . CIE YO 78 I 9006145 OOOLbLO 023 I r/ H I V 0.05 o. 10 0.15 0.20 0.25 0.30 0.35 0.
29、40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.00 o .a5 x I u-, 6 -5 2 O 12 z4 -Y -18 40 -1 -2 in 36 53 -13 -26 -3H 6 12 17 -1 -2 -3 23 46 6n -17 -34 -49 LI 15 21 -1 -3 -4 20 56 81 9 17 25 -2 -3 -5 32 64 93 -23 -45 -65 -2 -4 -5 3b 70 103 -P5 -40 -70 II 21 30 -2 -4 -6 3LI 75 110 -26 -Si -73 11 22 31 -2 -4 -
30、6 40 00 116 -26 -52 -75 11 E2 32 -2 -4 -6 42 (I2 121 -27 -52 -75 11 22 32 -2 -4 -6 43 04 124 -26 -52 -73 11 22 31 -2 -4 -6 43 06 125 -b -5i -73 11 21 31 -2 -4 -6 44 6 126 -25 -49 -71 11 21 29 -2 -4 -5 86 126 -24 -47 -6ll IO 20 2n -2 -4 -3 43 05 125 -23 -45 -6s 10 19 27 -2 -3 -5 43 05 126 -22 -43 -b?
31、 Y 18 Zb -2 -3 -5 43 04 122 9 17 25 -2 -3 -5 -20 -40 -sn 10 19 a -21 -41 -5n 0.05 0.10 u.15 (Ia -62 27 -5 105 -73 J2 -6 120 -62 36 -7 1% -me 3w -7 I 42 -Y3 40 -7 150 -YS *O -7 1 sa -u5 40 -7 159 -94 39 -7 161 -92 39 -7 162 -UV 37 -7 162 -0s 35 -6 160 -4 1 .i4 -6 159 -?7 32 -6 157 -72 31 -6 0.20 l6 -
32、U4 37 -7 1 b4 -Y 7 42 -* 159 -104 45 -n 171 -1ov 4b -4 in0 -111 47 -9 1196 -111 47 -8 190 -110 66 -U I93 -1 O? 44 -n 193 -103 42 -1 193 40 -7 192 -93 311 -7 -911 i 139 -Rd 36 -7 107 -02 34 -6 O e25 1 b4 -1 OU 46 -0 itii -1 16 *Y -9 195 -121 51 -9 205 -124 52 -9 212 -1 23 51 -9 217 -121 50 -9 CZO -1
33、17 48 -Y 220 -112 46 -o 219 -107 43 -A 218 -100 41 -7 215 -94 . 39 -7 212 -em 76 -7 0.30 -11- zoo -125 53 -10 2 lb -1 30 54 -10 22b -1 31 55 -10 z 34 -131 54 -lu 230 SL -Y 241 -1 23 50 -1214 -9 242 -117 47 -Y 24 1 -111 45 -4 2311 -1 03 42 - 235 -96 39 -7 232 -BY 37 -7 0.35 231 -135 56 -in 342 -13b 5
34、b -10 25 1 -138 55 -10 56 -131 53 -Y 2sn -125 50 -9 sn -1ld 47 -a 257 -110 -n 254 -1 o2 41 -7 251 -94 311 -7 24 b -b6 35 -6 b4 5.40 2% -137 56 -1 o 263 Il -132 -132 54 53 -10 -9 2bN 276 -11 -i26 52 50 -Y -Y 270 z7n -123 -11M -9 -8 275 27M -115 -109 4b 42 -0 -7 2bW 275 -106 -99 42 36 -7 -7 2bS 271 -9
35、7 -09 3i 35 -7 -6 2b1 Lbf -aa -713 3s 31 -b -5 2S6 261 -73 -60 32 27 -6 -5 b3 46 0.45 0.50 ta 1 -114 47 -LI 202 2d3 -110 -101 43 38 -LI -7 zu1 282 -100 -09 3* 34 -7 -6 274 271 -89 -77 34 29 -6 -5 276 273 -7d -65 SO 25 -5 -4 6V 267 -61 -53 Zh L -5 -b 263 261 -56 -41 22 17 4 -3 GEOWETRIC WLTIPLIEItS F
36、OY A SINGLE LUIIYAIRE VEHTICALLT AIOVE 4 COUNEY Of 4 (IECl4NGLE dITW SIDES x I w m Y / o TIE VALUES ARE 1N I / IO00 0.55 0.60 200 -71 ZV -5 276 271 -64 -50 24 19 -4 -3 O70 E65 250 -51 -36 -22 19 14 0 -3 -2 -1 E64 251 251 242 -31 -23 -7 1 1s 9 4 -1 -3 -2 -1 o 256 250 242 233 224 -25 -9 7 25 30 Il 5 -
37、1 -6 -10 -2 -t o 1 2 0.65 0.70 0.75 0.80 0.115 T49LL 1. 1 CIE 40 78 W 7006145 0001bLl TbT YlH I v 0.90 0.9s 1.00 1.10 1.20 1.30 1 -15s I I 924 -701 -141 I I 94T -620 -50 I I 067 -751 -53 I I I 820 -Ta5 23 I I OT9 -673 -140 I I 467 -IS0 -53 I I I 8% -119 . 24 I I 791 -750 22 I I 190 -691 -49 1 I i93
38、-759 22 I I 139 -707 El I I ri4 -714 o1 929 -ne9 26 I ope -720 -51 I I 542 1204 -1411 I I 312 1222 -1466 I I 419 1224 -1563 I I 397 1230 -1557 I I 430 1266 -1454 I I 346 1212 -1543 I I 397 I141 -1318 I I 355 1178 -1316 I I 319 1113 -1424 I I 207 Il94 -1419 I I 296 1009 -1521 I I 240 Il37 -1310 I I 2
39、76 1016 -1233 I I LO2 I006 -1235 I I 201 1959 -1406 I 1 193 1170 -1315 I I 111 1197 -1314 I I 102 1106 -1235 I I 141 1145 -1237 I I IO7 12S3 -1310 I I LO1 1113 -1230 I I 31 1250 -1240 I I O 1250 -1250 I I TT0 -129 T30 -105 672 -113 641 -91 623 -41 555 -37 570 -193 514 -153 517 -1?6 670 -140 485 -245
40、 403 -223 457 -390 348 -293 335 -36 317 -149 204 -i21 301 -240 242 -192 175 -26 167 -120 52 -10 O O 570 i I 505 I I 505 I I 513 I I 601 I I 536 I l. 771 I I 179 I I tos I I 712 I I 8bV I I 054 I 974 ! I 911 I I 734 I I 059 I I 861 I I 970 I 1 966 I l 8ba I I 966 I I 963 I I 1000 I I -24- TABLES Of C
41、OECfIC1EYTS COI) 1ML CoWUIATloY OF ILLrNANCfS El CJ C4 771 n3 tsl 731 111 511 I I 1 I 1 121) 470 42 I 470 1353 -IS73 I b05 -2b0 7b7 I l I I I I 8094 -031 -17b 1 JbV 1391 -1M7 I 610 -239 U4 I I I I I I IO?( -922 45 I 34s 1302 -1577 I ST6 -36D MO I I I I I I IOW -1002 32 I J23 1222 -1401 I S46 JO1 9TT
42、 I I I I I I 106s -009 -171 I 256 1470 -1619 I 424 -9D TI4 I -. I I I I 531 I IO* -904 44 I 241 1391 -1571 I 403 -219 040 I I I I I 511 I IOU 409 31 I 221 1314 -1484 I YS -32T 9T2 I I I I I 331 I 1029 JI1 43 I 142 14TT -1-S 1 231 -h ab0 I I I I 1 311 I I020 -97s 31 I 13s 1403 -11.T I 220 -1TT W7 I I
43、 I l I Ill I 1007 -2 31 I 44 140. -140- I -31 W2 I I I I I O00 I 100 -1ODO O I O I400 -1S00 I O O 1000 I I I I I 7mL XI - 20 WVZIISIW RATIO I e33J MW INM I 3.00 MT3 I I 07T3 I I 0071 I I OTT1 I I 77T3 I I TVi I I TT53 I I 7553 I I 7751 I I 75Sl I I T73l I I T331 I I 7711 I I 7111 I I SS51 I I 5531 I
44、 I Sa31 I I 1511 I I 5111 I I 3331 I I 3311 I I 1111 I I 0000 I I 1203 -TI* -lW I I 1171 492 -183 I I lob1 JI1 -207 I I I03D -671 -201 I I 1119 -bb2 -ITS I I 1009 -bS2 -273 I I lODL -Ta3 -3D I I 103s -747 -w I I H1 -76. -151 I I HI -TZ0 -IS3 I I 964 -033 -S9 I I -7 -7T3 -55 I I 949 -9T Lp I I OU -0I
45、b 2b I I 90s -6DT -146 I I 093 -TT0 -55 I I obe -743 -53 I I IOC -043 27 I 1 02 -T(P ZS I I 830 -115 41 I I 824 -TU ZS I 1 TTS -T39 23 I I 150 -710 0 I I UL 1453 -1TH i I S3S 14b9 -1725 I I 420 1471 -1022 I I 410 I409 -1010 I I 45T ISIS -1713 I I 3s IS23 -1003 1 I 419 1390 -1572 I I 301 I410 -1510 I
46、 I 332 1421 -Ia1 I I JO4 I442 -1bT7 I I 311 1331 -1515 I I Zbl 137S -1512 I I 293 I252 -1.02 I I 225 1317 -14Db I I 210 1500 -lb63 I I 205 I422 -1%. I I 105 I440 -1Sb8 I I I94 1346 -140S.l I IST 13W! -1- I I 116 1SOO -IS3 I I IO9 1420 -14D7 I I 34 149, -1490 I I O I500 -1500 I I 010 -144 Vb -123 7D2
47、 -125 b74 -1DT 4s* 4s 5Db -49 bll -215 W. -117 450 -193 507 -141 520 -320 4b4 -255 4W -431 392 -334 36D -49 343 -1.1 313 -141 UD -2T3 273 -220 I91 . -36 ID4 -135 50 -14 O O 571 I I ao I I 497 I I SI9 I I 522 I I TT0 1 1 TT2 I I e93 I I 700 I I 043 I I 040 I I 97s I I -72 I I TZ4 I I 0s I I 056 I I 9
48、10 I I *u I I 8b3 I I 9bbI I 9421 I I ion0 I CIE 40 78 9006145 0001624 bL8 -25- TIBLES OF COLFFICIENTS FOR TM CMPUTITIDH OF ILLUMINANCES El E3 ?6 SUSPENSlON RATIO .O ROM inoa I 4.00 TABLE II - 9 -_-_-_- REFLEC- I CElLlNO ILLUMlN4NCL I UALL lLLUYI*ANCE I 1LLWlWINCE 41 I TANCES I L1 I E3 I YOlKlN6 PLI
49、NE8 L4 I l I 1 I l MI1 ant2 Iwo I rnI m2 D133 I WI M2 RH43 1 -I-l-l-l 8T3 I 1310 -162 -203 I b27 1932 -2249 I 920 -19b 540 I I I I I 8T1 I 1130 -T23 -309 I 4b5. 1967 -2344 I TO2 -lb? 459 I I I l I TT3 I 12b1 -733 -19b I 528 1990 -2234 I ITS -112 563 I I I I I 771 I 1112 -T12 -304 I 400 ZOO8 -2326 I 674 -97 489 I I 1 I I 153 I 1224 -873 -39 I 492 1853 -2080 I 728 -288 160
