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EN 13201-3Edition: 2007-06-01路灯第三部分:性能计算Road lightingPart 3: Calculation of performanceNational ForewordThe present NORM EN has been reissued without prior public enquiry and represents a consolidated national new edition of EN 13201-3:2003-11, including Corrigendum EN 13201-3:2003/AC:2007-02.The preceding European corrigendum EN 13201-3:2003/AC:2005-06 has been considered and incorporated in this version of NORM EN 13201-3.Following clauses were changed:Ad 7.1.5: Figure 11 was replacedText after figure title was addedAd 7.2.2: Equation (35) was includedEnglish versionRoad lighting - Part 3: Calculation of performanceThis European Standard was approved by CEN on 1 September 2003.This corrigendum becomes effective on 22 June 2005.This corrigendum becomes effectice on 28 February 2007.CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such national standards may be obtained on application to the Management Centre or to any CEN member.This European Standard exists in three official versions (English, French, German). A version in any other language made by translation under the responsibility of a CEN member into its own language and notified to the Management Centre has the same status as the official versions.CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.Contents pageForeword . 4Introduction . 51 Scope. 52 Normative references. . 53 Terms, definitions, symbols and abbreviations. 53.1 Terms and definitions. 53.2 List of symbols and abbreviations. 84 Mathematical conventions . . 105 Photometric data. 105.1 General . 105.2 The _-table . 105.3 Interpolation in the _-table . 125.3.1 General . 125.3.2 Linear interpolation. 125.3.3 Quadratic interpolation. 135.3.4 Quadratic interpolation in the region of C = 0_, or _ = 0_ or 180_ . 155.4 The r-table . 155.5 Interpolation in the r-table. 186 Calculation of _(C,_) . 196.1 General . 196.2 Mathematical conventions for distances measured on the road. 196.3 Mathematical conventions for rotations. 206.4 Calculation of C and _ . 217 Calculation of photometric quantities. 227.1 Luminance . 227.1.1 Luminance at a point . 227.1.2 Total luminance at a point. 237.1.3 Field of calculation for luminance. 237.1.4 Position of calculation points . 247.2 llluminance. 297.2.1 General . 297.2.2 Horizontal illuminance at a point. 297.2.3 Hemispherical illuminance at a point. 297.2.4 Semicylindrical illuminance at a point . 307.2.5 Vertical iluminance at a point . 317.2.6 Total illuminance at a point. 327.2.7 Field of calculation for illuminance. 337.2.8 Position of calculation points . 337.2.9 Luminaires included in calculation . 347.2.10 llluminance on areas of irregular shape . 358 Calculation of quality characteristics . 358.1 General . 358.2 Average luminance . 358.3 Overall uniformity. 358.4 Longitudinal uniformity . 358.5 Threshold increment. 358.6 Surround ratio . 368.7 Measures of illuminance . 398.7.1 General . 398.7.2 Average illuminance . 398.7.3 Minimum illuminance. 408.7.4 Uniformity of illuminance . 409 Ancillary data. 40Bibliography . 41ForewordThis document (EN 13201-3:2003) has been prepared by Technical Committee CEN/TC 169 “Light and lighting”, the secretariat of which is held by DIN.This European Standard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by May 2004, and conflicting national standards shall be withdrawn at the latest by May 2004.This European Standard was worked out by the Joint Working Group of CEN/TC 169 Light and lighting and CEN/TC 226 Road Equipment, the secretariat of which is held by AFNOR.This document includes a Bibliography.This standard, EN 13201 Road lighting, consists of three parts. This document is:Part 3: Calculation of performanceThe other parts of EN 13201 are:Part 2: Performance requirementsPart 4: Methods of measuring lighting performanceAccording to the CEN/CENELEC Internal Regulations, the national standards organizations of thefollowing countries are bound to implement this European Standard: Austria, Belgium, Czech Republic, Denmark, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Luxembourg, Malta, Netherlands, Norway, Portugal, Slovakia, Spain, Sweden, Switzerland and the United Kingdom.IntroductionThe calculation methods described in this Part of this European Standard enable road lighting quality characteristics to be calculated by agreed procedures so that results obtained from different sources will have a uniform basis.引言本部分欧洲标准中描述的计算方法能使路灯指标通过认可的程序计算出,以使不同光源的结果具有统一的计算依据。1 ScopeThis European Standard defines and describes the conventions and mathematical procedures to be adopted in calculating the photometric performance of road lighting installations designed in accordance with EN 13201-2.1 适用范围本欧洲标准定义和描述的约定和数学过程可用于依照EN 13201-2设计的路灯装置的光度性能的计算。2 Normative referencesThis European Standard incorporates by dated or undated reference, provisions from other publications. These normative references are cited at the appropriate places in the text, and the publications are listed hereafter. For dated references, subsequent amendments to or revisions of any of these publications apply to this European Standard only when incorporated in it by amendment or revision. For undated references the latest edition of the publication referred to applies (including amendments).prEN 13032-1, Light and lighting Measurement and presentation of photometric data of lamps and luminaires Part 1: Measurement and file format.EN 13201-2, Road lighting Part 2: Performance requirements.2 引用标准本标准包含了一些其他刊物登出的标注日期或未标注日期的引文。本文在适当之处引用了部分规范的引文,并在其后列出了来源刊物。对标注了日期的引文,仅引用所标注的版次。对未标注日期的引文,以最新版(包括增修部分)为准。prEN 13032-1, Light and lighting Measurement and presentation of photometric data of lamps and luminaires Part 1: Measurement and file format.EN 13201-2, Road lighting Part 2: Performance requirements.3 Terms, definitions, symbols and abbreviations3 术语、定义、符号和缩写3.1 Terms and definitionsFor the purposes of this European Standard, the following terms and definitions apply.3.1 术语和定义本欧洲标准中,采用了以下术语和定义3.1.1 vertical photometric angle (of a light path) (_)angle between the light path and the first photometric axis of the luminaireNOTE 1 Unit _(degrees).NOTE 2 See Figure (光路的)垂直角 光路与灯具主光轴的夹角,如图1。单位:(度)。3.1.2 azimuth (of a light path) (C)angle between the vertical half-plane passing through the light path and the zero reference half-plane through the first photometric axis of a luminaire, when the luminaire is at its tilt during measurementNOTE 1 Unit _ (degrees).NOTE 2 See Figure (光路的)方位角 C当灯具在测量时处于倾斜状态,通过光路的垂直半平面与通过灯具主光轴的零基准半平面的夹角,如图1。单位:(度)。3.1.3 angIe of incidence (of a light path at a point on a surface) (_)angle between the light path and the normal to the surfaceNOTE 1 Unit (degrees).NOTE 2 See Figure 4, Figure 13 and Figure (光路在表面上某点处的)入射角 光路与表面法线的夹角,如图1、图13和图14。单位:(度)。3.1.4 angle of deviation (with respect to luminance coefficient) (_)supplementary angle between the vertical plane through the luminaire and point of observation and the vertical plane through the observer and the point of observationNOTE 1 Unit _(degrees).NOTE 2 See Figure 偏向角 (与亮度系数有关)通过灯具和观测点的垂直面与通过观察者和观测点的垂直面的补角,如图4。单位:(度)。3.1.5 luminance coefficient (at a surface element, in a given direction, under specified conditions of illumination) (q)quotient of the luminance of the surface element in the given direction by the illuminance on the mediumNOTE 1 Unit sr 1NOTE 2E=L/Ewhere:q is the luminance coefficient, in reciprocal steradiansL is the luminance, in candelas per square metreE is the illuminance, in lux3.1.5 亮度系数(在单位面积,在给定方向,特定条件的照明) q给定方向上单位面积的亮度与平均照度之比,单位为 sr-1。注:q= LE(1)其中,q为亮度系数,单位为球面度的倒数(sr-1);L为亮度,单位为坎德拉每平方米(cd/m2);E为照度,单位为勒克斯(lux)。3.1.6 reduced luminance coefficient (for a point on a surface) (r)luminance coefficient multiplied by the cube of the cosine of the angle of incidence of the light on the pointNOTE 1 Unit sr 1NOTE 2 This can be expressed by the equation: r = q cos3 (2)where:q is the luminance coefficient, in reciprocal steradians_ is the angle of incidence, in degreesNOTE 3 The angle of observation, _ in Figure 4, affects the value of r. By convention this angle is fixed at 1_ for road lighting calculations. r is reasonably constant for values of _ between 0,5 and 1,5, the angles over which luminance calculations for the road surface are generally required.3.1.6 简化的亮度系数 (表面上一点)r亮度系数乘以该点处光线入射角的余弦的立方,单位为sr-1。注:r=qcos3(2)其中q为亮度系数,单位为sr-1;为入射角,单位为(度)。注:观察角度,图4中的,对r的值有影响。按照惯例,路灯计算中这个角度固定为1。的值在0.5-1.5间,r的值基本不变,在道路表面亮度计算中这个角度是通常都需要的。3.1.7 tilt during measurement (of a luminaire) (_m)angle between a defined datum axis on the luminaire and the horizontal when the luminaire is mounted for photometric measurementNOTE 1 Unit (degrees).NOTE 2 See Figure 8.NOTE 3 The defined datum axis can be any feature of the luminaire, but generally for a side-mounted luminaire it lies in the mouth of the luminaire canopy, in line with the spigot axis. Another commonly used feature is the spigot entry axis.3.1.7 (灯具)测量时的倾斜度 m对光度测量时安装的灯具,定义的灯具基准轴与水平线的夹角,如图8。单位为(度)。注:定义的基准轴可以是灯具的任一特征,对于侧边安装的灯具基准轴通常位于灯罩面,与套管轴一致。另一个通用特征是套管入口轴。3.1.8 tilt in application (of a luminaire) (_ f)angle between a defined datum axis on the luminaire and the horizontal when the luminaire is mounted for field useNOTE 1 Unit _(degrees).NOTE 2 See Figure 1 and Figure 8.NOTE 3 The defined datum axis can be any feature of the luminaire but generally for a side-mountedluminaire it lies in the mouth of the luminaire canopy, in line with the spigot axis. Another commonly used feature is the spigot entry axis.3.1.8 (灯具)应用时的倾斜度f对现场应用时安装的灯具,定义的灯具基准轴与水平线的夹角,如图8。单位为(度)。注:定义的基准轴可以是灯具的任一特征,对于侧边安装的灯具基准轴通常位于灯罩面,与套管轴一致。另一个通用特征是套管入口轴。3.1.9 orientation (of a luminaire) (_)angle a chosen reference direction makes with the C = 0,= 90 measurement direction of the luminaire when the first photometric axis of the luminaire is verticalNOTE 1 Unit (degrees).NOTE 2 When the road is straight the reference direction is longitudinal.NOTE 3 See Figure 7, which illustrates the sign conventions.3.1.9 (灯具的)方向 在灯具的主光轴竖直时,选定的参考方向与灯具C = 0,= 90测量方向的夹角。单位为(度)。注:笔直道路的参考方向为纵向方向。注:图7给出了该符号的定义描述。3.1.10 rotation (of a luminaire) (_)angle the first photometic axis of the luminaire makes with the nadir of the luminaire, when the tilt during measurement is zeroNOTE 1 Unit (degrees).NOTE 2 See Figure 7, which illustrates the sign conventions.3.1.10 (灯具的)旋转度 测量时灯具倾斜度为零,则灯具主光轴与灯具底面的夹角为旋转度。单位为(度)。图7给出了该符号的定义描述。3.1.11 first photometric axis (of a luminaire when measured in the (C, _) coordinate system)vertical axis through the photometric centre of a luminaire when it is at its tilt during measurementNOTE 1 The poles of the (C,_) coordinate system lie in this axis. See Figure 1.NOTE 2 This axis is tilted when the luminaire is tilted from its tilt during measurement.3.1.11 (C,)坐标系统中测量时灯具的)主光轴通过处于测量倾斜态的灯具的发光中心的垂直轴。如图1,(C,)系统中的极轴即为主光轴。在测量时,灯具相对原倾斜态发生倾斜时,则主光轴会发生倾斜。3.1.12 longitudinal directiondirection parallel to the axis of the road3.1.12 纵向方向平行于道路轴线的方向3.1.13transverse directiondirection at right angles to the axis of the roadNOTE On a curved road the transverse direction is that of the radius of curvature at the point of interest on the road.3.1.13 横向方向垂直于道路轴线的方向注:弯曲道路的横向方向是指路段相关点的曲率半径的方向。3.1.14 installation azimuth (with respect to a given point on the road surface and a given luminaire at its tilt during measurement) (_)angle a chosen reference direction (which is longitudinal for a straight road) makes with the vertical plane through the given point and the first photometric axis of the luminaire, when the luminaire is at its tilt during measurementNOTE 1 Unit _(degrees).NOTE 2 See Figure 4 安装方位角(与道路表面的给定点和给定的测试时处于倾斜态的灯具有关) 灯具处于测试的倾斜态,选定的基准方向(笔直道路中为纵向方向)与通过给定点和灯具主光轴的垂直面的夹角。如图4,单位为(度)。3.2 List of symbols and abbreviationsThe symbols and abbreviations used in this standard are listed in Table 1.3.2 符号和缩写的列表本标准中使用的符号和缩写列于表1中。表1 符号和缩写量单位Symbol符号Name or description 定义描述CPhotometric azimuth 光度方位角(图1)(度)DSpacing between calculation points in the longitudinal direction 纵向方向计算点的间距mdSpacing between calculation points in the transverse direction 横向方向计算点的间距mEIlluminance 照度lxHMounting height of a

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