1、June 2016 English price group 23No part of this translation may be reproduced without prior permission ofDIN Deutsches Institut fr Normung e. V., Berlin. Beuth Verlag GmbH, 10772 Berlin, Germany,has the exclusive right of sale for German Standards (DIN-Normen).ICS 93.080.40!%Vuk“2518272www.din.deDIN
2、 EN 13201-3Road lighting Part 3: Calculation of performance;English version EN 13201-3:2015,English translation of DIN EN 13201-3:2016-06Straenbeleuchtung Teil 3: Berechnung der Gtemerkmale;Englische Fassung EN 13201-3:2015,Englische bersetzung von DIN EN 13201-3:2016-06Eclairage public Partie 3: Ca
3、lcul des performances;Version anglaise EN 13201-3:2015,Traduction anglaise de DIN EN 13201-3:2016-06SupersedesDIN EN 13201-3:2004-04 andDIN EN 13201-3 Corrigendum 1:2007-07www.beuth.deDTranslation by DIN-Sprachendienst.In case of doubt, the German-language original shall be considered authoritative.
4、Document comprises 65 pages 06.16 2 A comma is used as the decimal marker. National foreword This document (EN 13201-3:2015) has been prepared by Technical Committees CEN/TC 169 “Light and lighting” (Secretariat: DIN, Germany), Joint Working Group WG 12 with Technical Committee CEN/TC 226 “Road ligh
5、ting” (Secretariat: AFNOR, France). The responsible German body involved in its preparation was DIN-Normenausschuss Lichttechnik (DIN Standards Committee Lighting Technology), Working Committee NA 058-00-11 AA FNL/FGSV 3.02 Auen-beleuchtung. Amendments This standard differs from DIN EN 13201-3:2004-
6、04 and DIN EN 13201-3 Corrigendum 1:2007-07 as follows: a) to terminate the calculation before reaching a distance of 500 m, in the calculation of veiling luminance, Lv, the contribution of at least 2 % of the next luminaire in the row is no longer to be tested (this is to avoid ambiguous interpreta
7、tions that can produce different results from different software); b) the default option is about 500 m, but there is an alternative to retain only the luminaires of a shorter installation. This last case should be clearly mentioned in the lighting design by the number of luminaires involved in the
8、calculation of fTI; c) there is a new formula for calculating veiling luminance Lvfor a wider range of values. Thus, the case where luminaires could be very near to the axis of vision of the observer (0,1 20 lx Number of decimal places 2 2 2 0 2 2 1 0 5 Photometric data 5.1 General Photometric data
9、for the light distribution of the luminaires used in the lighting installation are needed for calculating the lighting quality characteristics in this standard. These data are in the form of an intensity table (I-table) which gives the distribution of luminous intensity emitted by the luminaire in a
10、ll relevant directions. When luminance calculations are to be made, photometric data for the light reflecting properties of the road surface are required in the form of an r-table. Interpolation is needed in using both these tables to enable values to be estimated for directions between the tabulate
11、d angles. 5.2 The I-table 5.2.1 System of coordinates and advised angular intervals of the I-table For calculations made in accordance with this standard, an intensity table (I-table) that describes the behaviour of the luminaire with the required accuracy by the aim of calculation shall be used. Th
12、is I-table shall be prepared in accordance with EN 13032-1. The coordinate system used for road lighting luminaires is the C-planes system, shown in Figure 1. For floodlight installations, the intensity distribution measured in the B-planes system may be accepted if the calculation program can trans
13、fer the intensity values in the C-planes system. In Figure 1, the luminaire is shown at its tilt during measurement. Luminous intensity shall be expressed in candelas. The luminous flux used in calculation shall be declared in the calculation report. Unless specific conditions are mentioned in the c
14、alculation report, the luminous flux used shall be that of the light source mentioned in the data sheet of the luminaire. If the luminous intensity table is given in candelas per kilolumen (cdklm1), its values shall be converted in candelas, considering the luminous flux of all the light sources in
15、the luminaire. DIN EN 13201-3:2016-06 EN 13201-3:2015 (E) 13 Key 1 luminaire at tilt during measurement 2 longitudinal direction 3 vertical direction 4 direction of luminous intensity Figure 1 Orientation of C, coordinate system in relation to longitudinal direction of carriageway Maximum angular in
16、tervals stipulated in this standard have been selected to give acceptable levels of interpolation accuracy. In the (C, ) system of coordinates, luminous intensities shall be provided at the angular intervals stated below. For all luminaires the angular intervals in vertical planes () shall at most b
17、e 2,5 from 0 to 180. In azimuth the intervals shall be varied according to the symmetry of the light distribution from the luminaire as follows: a) luminaires with no symmetry: the intervals shall at most be 5, starting at 0, when the luminaire is at its tilt during measurement, and ending at 355; b
18、) luminaires with nominal symmetry about the C = 270 90 plane: the intervals shall at most be 5, starting at 270, when the luminaire is at its tilt during measurement, and ending at 90; c) luminaires with nominal symmetry about the C = 270 90 and C = 0 180 planes: the intervals shall at most be 5, s
19、tarting at 0, when the luminaire is at its tilt during measurement, and ending at 90; d) luminaires with nominally the same light distribution in all C-planes: only one representative set of measurements in a vertical (C-plane) is needed. DIN EN 13201-3:2016-06 EN 13201-3:2015 (E) 14 Where standards
20、 for specific luminaire typologies exist and prescribe improved angular intervals these shall be applied. The angular intervals stated above shall be reduced in case of a great gradient variation of consecutive luminous intensities. NOTE In that case, it is the role of photometric laboratories to pr
21、ovide the I-table with relevant reduced angular intervals defined from the angles included in the photometric file. 5.2.2 Linear interpolation in the I-table To estimate the luminous intensity I(C, ) in the direction (C, ), it is necessary to interpolate between four values of luminous intensity lyi
22、ng closest to the direction, see Figure 2 and Figure 3. Figure 2 Angles required for linear interpolation of luminous intensity DIN EN 13201-3:2016-06 EN 13201-3:2015 (E)15 Figure 3 Angles required for linear interpolation of luminous intensity (from Figure 2 but showing intensity on z-axis in persp
23、ective) For this purpose, the following formulae or mathematically equivalent formulae shall be used: Interpolation on C angles ( ) ( )( ) ( ) m1mmjmjmjmj,1,CCCCCICICICI=+(3) where I(Cm, j) indicates the intensity in column number m and row number j of the I-table, and so on for the other similar sy
24、mbols; C is the azimuth, measured about the first photometric axis; is the vertical angle measured from the first photometric axis; j, m, m+1 are integers indicating the number of the column or row in the I-table. From which: ( ) ( ) ( ) ( )( )jmj1mm1mmjmj, CICICCCCCICI +=+(4) Similarly: ( ) ( )( )
25、( )+ +=j1 m j1mm1 mm1 j1 m j1,IC ICCCCCIC IC(5) DIN EN 13201-3:2016-06 EN 13201-3:2015 (E) 16 From which: ( ) ( ) ( ) ( )( )1jm1j1mm1mm1jm1j,+= CICICCCCCICI (6) At last, interpolation on : ( ) ( )( ) ( )+=jjj1 jj1 j,IC ICIC IC(7) From which, finally: ( ) ( ) ( ) ( )( )j1jj1jjj, CICICICI +=+(8) In th
26、ese formulae interpolation is first carried out in the C half planes, and then in the cones. If desired this procedure can be reversed (that is, the interpolation is first carried out in the cones followed by the C half planes) and the same result obtained. 5.3 The r-table 5.3.1 The r-table format R
27、oad surface reflection data shall be expressed in terms of the reduced luminance coefficient at the angular intervals and in the directions given in Table 3 for the angles and indicated in Figure 4. Generally in r-tables the values are given multiplied by the factor 104. In this case, for calculatio
28、n purpose, they shall be divided by 104. Table 3 gives the minimum number of angular directions at which the reduced luminance coefficient shall be specified for luminaires placed at heights, above the road surface, higher than 2 m. For luminaires of the lighting installation placed at heights, abov
29、e the road surface, less than or equal to 2 m, Annex B suggests the extended set of angular directions for r values. DIN EN 13201-3:2016-06 EN 13201-3:2015 (E) 17 Key H mounting height of the luminaire P observed point PN normal at P to the road surface Q photometric centre of the luminaire QT verti
30、cal passing through the photometric centre of the luminaire ST longitudinal direction Oh geometrical projection of the observers eye to the ground f and y scalar components of the vector TP (evaluation of tan ) angle between the oriented traces of vertical planes in the horizontal plane of the road
31、surface: vertical plane passing through the point of observation and containing P vertical plane containing P and passing through the luminaire. angle of light incidence at P angle of observation installation azimuth 1 luminaire 2 light path 3 observer (O is the position of the eye of the observer)
32、Figure 4 Angular relationships for luminaire at tilt during measurement, observer, and point of observation DIN EN 13201-3:2016-06 EN 13201-3:2015 (E) 18 Table 3 Angular intervals and directions to be used in collecting road surface reflection data tan in degrees 0 2 5 10 15 20 25 30 35 40 45 60 75
33、90 105 120 135 150 165 180 0 X X X X X X X X X X X X X X X X X X X X 0,25 X X X X X X X X X X X X X X X X X X X X 0,5 X X X X X X X X X X X X X X X X X X X X 0,75 X X X X X X X X X X X X X X X X X X X X 1 X X X X X X X X X X X X X X X X X X X X 1,25 X X X X X X X X X X X X X X X X X X X X 1,5 X X X
34、X X X X X X X X X X X X X X X X X 1,75 X X X X X X X X X X X X X X X X X X X X 2 X X X X X X X X X X X X X X X X X X X X 2,5 X X X X X X X X X X X X X X X X X X X X 3 X X X X X X X X X X X X X X X X X X X X 3,5 X X X X X X X X X X X X X X X X X X X X 4 X X X X X X X X X X X X X X X X X X X X 4,5 X X
35、 X X X X X X X X X X X X X X X X X X 5 X X X X X X X X X X X X X X X X X X X X 5,5 X X X X X X X X X X 6 X X X X X X X X X 6,5 X X X X X X X X X 7 X X X X X X X X 7,5 X X X X X X X 8 X X X X X X X 8,5 X X X X X X X 9 X X X X X X 9,5 X X X X X X 10 X X X X X X 10,5 X X X X X X 11 X X X X X X 11,5 X X
36、 X X X 12 X X X X X A cross in Table 3 indicates the required r-value that shall be known. NOTE In Table 3, blank cells indicate directions that should not be used for calculation, therefore the knowledge of r of these directions is not relevant in this standard. DIN EN 13201-3:2016-06 EN 13201-3:20
37、15 (E) 19 5.3.2 Linear interpolation in the r-table When a value of r is required for values of tan and lying between those given in the r-table, the linear interpolation shall be retained. The mathematical procedure is similar to that described for the I-table in 5.2.2 with tan replacing C half pla
38、ne angles and replacing angles. Again, in these formulae, interpolation can be first carried out in the tan values and then in the half planes. If desired this procedure can be reversed (that is the interpolation is first carried out in the half planes followed by tan values) and the same result obt
39、ained. 6 Calculation of I(C, ) 6.1 General To determine the luminous intensity from a luminaire to a point it is necessary to find the vertical photometric angle () and photometric azimuth (C) of the light path to the point. To do this, account shall be taken of the tilt in application in relation t
40、o the tilt during measurement, the orientation, and rotation of the luminaire. For this purpose it is necessary to establish mathematical sign conventions for measuring distances on the road and for rotations about axes. The system used is a right-handed Cartesian coordinate system. The corrections
41、for turning movements do not allow for any change in the luminous flux of the light source due to turning movements. 6.2 Mathematical conventions for distances measured on the road A (x, y) rectangular coordinate system is used (Figure 5). The abscissa is aligned with the reference direction, which,
42、 for a straight road, lies in the longitudinal direction. Then: xLP= xP xL(9) yLP= yP yL(10) where (xP, yP) are the coordinates of the calculation point; (xL, yL) are the coordinates of the luminaire. DIN EN 13201-3:2016-06 EN 13201-3:2015 (E) 20 Key 1 edge of carriageway 2 calculation point 3 lumin
43、aire Figure 5 (x, y) coordinate system for locating luminaire in plan NOTE In order to obtain positive x and y coordinates for all grid points, it is advisable to place the origin in the low left corner of the calculation field. (see Figure A.1). 6.3 Mathematical conventions for rotations Figure 6 s
44、hows the axes of rotation in relation to the (x y z) right-handed coordinate system. In this system rotation angles are positive when pointing the right thumb along the third axis in the positive direction, the fingers curl in the direction leading from the first axis toward the second one (right ha
45、nd rule). Axis I is fixed in space, axis II and axis Ill can be turned about axis I. DIN EN 13201-3:2016-06 EN 13201-3:2015 (E) 21 Key 1 axis Ill 2 longitudinal direction 3 axis II 4 axis I: first photometric axis Figure 6 Axes of rotation in relation to the (x, y) coordinate system Figure 7 shows t
46、he relation of tilt for calculation to tilt during measurement and tilt in application. From this it is evident that: = f m(11) where is the tilt in degree for calculation; fis the tilt in degree in application; mis the tilt in degree during measurement. DIN EN 13201-3:2016-06 EN 13201-3:2015 (E) 22
47、 Key tilt for calculation f tilt in application m tilt during measurement 1 horizontal Figure 7 Tilt during measurement, tilt in application, tilt for calculation 6.4 Calculation of C and NOTE These can be determined in four stages: 6.4.1 Calculation of x, y and H: x = x(cos cos sin sin sin ) + y(si
48、n cos + cos sin sin ) + H cos sin (12) y = x sin cos + y cos cos H sin (13) H = x(sin sin cos + cos y sin ) y(sin sin cos sin cos ) + H cos cos (14) where x and y are the longitudinal and transverse distances between the calculation point and the nadir of the luminaire in Figure 5; H is the height of the luminaire above the calculation point; , and
