1、BSI Standards PublicationBS EN 13201-3:2015Road lightingPart 3: Calculation of performanceBS EN 13201-3:2015 BRITISH STANDARDNational forewordThis British Standard is the UK implementation of EN 13201-3:2015.It supersedes BS EN 13201-3:2003 which is withdrawn.The UK participation in its preparation
2、was entrusted to TechnicalCommittee EL/1/2, Road lighting.A list of organizations represented on this committee can beobtained on request to its secretary.This publication does not purport to include all the necessaryprovisions of a contract. Users are responsible for its correctapplication. The Bri
3、tish Standards Institution 2016.Published by BSI Standards Limited 2016ISBN 978 0 580 79684 5ICS 93.080.40Compliance with a British Standard cannot confer immunity fromlegal obligations.This British Standard was published under the authority of theStandards Policy and Strategy Committee on 31 Januar
4、y 2016.Amendments/corrigenda issued since publicationDate T e x t a f f e c t e dBS EN 13201-3:2015EUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN 13201-3 December 2015 ICS 93.080.40 Supersedes EN 13201-3:2003English Version Road lighting - Part 3: Calculation of performance Eclairage public -
5、Partie 3: Calcul des performances Straenbeleuchtung - Teil 3: Berechnung der Gtemerkmale This European Standard was approved by CEN on 6 June 2015. CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European Standard the status of
6、 a national standard without any alteration. Up-to-date lists and bibliographical references concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN member. This European Standard exists in three official versions (English, French, German)
7、. A version in any other language made by translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management Centre has the same status as the official versions. CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, C
8、yprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey andUnited K
9、ingdom. EUROPEAN COMMITTEE FOR STANDARDIZATION COMIT EUROPEN DE NORMALISATION EUROPISCHES KOMITEE FR NORMUNG CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels 2015 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN national Members. Ref. No. EN 1320
10、1-3:2015 EBS EN 13201-3:2015EN 13201-3:2015 (E) 2 Contents Page European foreword . 4 Introduction 5 1 Scope 6 2 Normative references 6 3 Terminology 6 3.1 Terms and definitions . 6 3.2 List of symbols and abbreviations 9 4 Mathematical conventions 11 4.1 General . 11 4.2 Decimal places of the requi
11、rements 12 5 Photometric data 12 5.1 General . 12 5.2 The I-table . 12 5.2.1 System of coordinates and advised angular intervals of the I-table 12 5.2.2 Linear interpolation in the I-table . 14 5.3 The r-table 16 5.3.1 The r-table format 16 5.3.2 Linear interpolation in the r-table . 19 6 Calculatio
12、n of I(C, ) 19 6.1 General . 19 6.2 Mathematical conventions for distances measured on the road 19 6.3 Mathematical conventions for rotations . 20 6.4 Calculation of C and 22 6.4.1 Calculation of x, y and H: . 22 6.4.2 Evaluation of installation azimuth . 23 6.4.3 Calculation of C 23 6.4.4 Calculati
13、on of y 23 7 Calculation of photometric quantities 24 7.1 Luminance 24 7.1.1 Luminance at a point. 24 7.1.2 Field of calculation for luminance 25 7.1.3 Position of calculation points 26 7.1.4 Position of observer 27 7.1.5 Luminaires included in calculation . 29 7.2 Illuminance . 29 7.2.1 General . 2
14、9 7.2.2 Horizontal illuminance at a point 30 7.2.3 Hemispherical illuminance at a point. 30 7.2.4 Semi-cylindrical illuminance at a point . 31 7.2.5 Vertical illuminance at a point 32 7.2.6 Field of calculation for illuminance . 33 7.2.7 Position of calculation points 33 7.2.8 Luminaires included in
15、 calculation . 34 BS EN 13201-3:2015EN 13201-3:2015 (E) 3 7.2.9 Illuminance on areas of irregular shape 35 8 Calculation of quality characteristics 35 8.1 General . 35 8.2 Average luminance . 35 8.3 Overall uniformity 35 8.4 Longitudinal uniformity . 35 8.5 Threshold increment fTI. 36 8.5.1 Definiti
16、on and conventional hypotheses . 36 8.5.2 Threshold Increment calculation process . 38 8.5.3 Threshold increment calculation for C and P lighting classes 39 8.6 Edge Illuminance Ratio REI39 9 Ancillary data . 41 Annex A (informative) Mathematical information technology conventions and flow chart dia
17、grams 43 A.1 Mathematical and Information Technology conventions used in addition to Clause 4 to define the variables used in the following logical flow charts of the lighting calculation program 43 A.2 Linear interpolation in the tables . 47 A.3 Information Technology requirements 49 Annex B (infor
18、mative) Extended r-table format for low mounting height luminaire 61 Bibliography . 63 BS EN 13201-3:2015EN 13201-3:2015 (E) 4 European foreword This document (EN 13201-3:2015) has been prepared by Technical Committee CEN/TC 169 “Light and lighting”, the secretariat of which is held by DIN. This Eur
19、opean Standard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by June 2016 and conflicting national standards shall be withdrawn at the latest by June 2016. Attention is drawn to the possibility that some of the elements
20、of this document may be the subject of patent rights. CEN and/or CENELEC shall not be held responsible for identifying any or all such patent rights. This document supersedes EN 13201-3:2003. In comparison with EN 13201-3:2003, three significant changes were made: in the veiling luminance calculatio
21、n, Lv, there is no more test about the contribution of at least 2 % of the next luminaire in the row to end the calculation before reaching a distance of 500 m (this is to avoid ambiguous interpretations that can produce different results from different software); the default option is about 500 m,
22、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 calculation of fTI; there is a new formula for calculating veiling luminance Lv, for a wider range of values.
23、 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 for the light distribution of the luminaires used in the lighting installation are needed for calculating the l
24、ighting 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 all relevant directions. When luminance calculations are to be made, photometric data for the light reflecting p
25、roperties 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 tabulated angles. 5.2 The I-table 5.2.1 System of coordinates and advised angular intervals of the I-table For calculat
26、ions 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. This I-table shall be prepared in accordance with EN 13032-1. The coordinate system used for road lighting lumina
27、ires 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 transfer the intensity values in the C-planes system. In Figure 1, the luminaire is shown at its tilt during measure
28、ment. 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 calculation report, the luminous flux used shall be that of the light source mentioned in the data sheet of the
29、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 the luminaire. BS EN 13201-3:2015EN 13201-3:2015 (E) 13 Key 1 luminaire at tilt during measurement 2 longitudin
30、al 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 intervals stipulated in this standard have been selected to give acceptable levels of interpolation accuracy. In the (
31、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 be 2,5 from 0 to 180. In azimuth the intervals shall be varied according to the symmetry of the light distribution fr
32、om 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) luminaires with nominal symmetry about the C = 270 90 plane: the intervals shall at most be 5, starting at 270, wh
33、en 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, starting at 0, when the luminaire is at its tilt during measurement, and ending at 90; d) luminaires with nominally t
34、he same light distribution in all C-planes: only one representative set of measurements in a vertical (C-plane) is needed. BS EN 13201-3:2015EN 13201-3:2015 (E) 14 Where standards for specific luminaire typologies exist and prescribe improved angular intervals these shall be applied. The angular int
35、ervals 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 provide the I-table with relevant reduced angular intervals defined from the angles included in the photometric file. 5.2.2
36、 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 lying closest to the direction, see Figure 2 and Figure 3. Figure 2 Angles required for linear interpolation of luminous int
37、ensity BS EN 13201-3:2015EN 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 perspective) For this purpose, the following formulae or mathematically equivalent formulae shall be used: Interpolation on C angl
38、es ( ) ( )( ) ( ) 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 symbols; C is the azimuth, measured about the first photometric axis; is the vertical angle measured from the first photometric
39、 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: ( ) ( )( ) ( )+ +=j1 m j1mm1 mm1 j1 m j1,IC ICCCCCIC IC(5) BS EN 13201-3:2015EN 13201-3:2015 (E) 16 From which: ( ) ( ) ( ) ( )( )1jm1j1
40、mm1mm1jm1j,+= CICICCCCCICI (6) At last, interpolation on : ( ) ( )( ) ( )+=jjj1 jj1 j,IC ICIC IC(7) From which, finally: ( ) ( ) ( ) ( )( )j1jj1jjj, CICICICI +=+(8) In these formulae interpolation is first carried out in the C half planes, and then in the cones. If desired this procedure can be reve
41、rsed (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 Road surface reflection data shall be expressed in terms of the reduced luminance coefficient at the angular intervals and in the d
42、irections 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 calculation purpose, they shall be divided by 104. Table 3 gives the minimum number of angular directions at which the reduced luminance coe
43、fficient 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, above the road surface, less than or equal to 2 m, Annex B suggests the extended set of angular directions for r values. BS EN 13201-3
44、:2015EN 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 vertical passing through the photometric centre of the luminaire ST longitudinal direction Oh geometrical projection of the observers eye to
45、 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 surface: vertical plane passing through the point of observation and containing P vertical plane containing P and passing through the l
46、uminaire. 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) Figure 4 Angular relationships for luminaire at tilt during measurement, observer, and point of observation BS EN 13201-3:2015EN 13201-
47、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 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
48、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 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
49、 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 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
