Road lighting. Calculation of performance

EN 13201-3:2015
Road lighting - Part 3: Calculation of performance

EUROPEAN STANDARD

NORME EUROPEENNE

EUROPAISCHE NORM

Supersedes EN 13201-3:2003
English Version
Road lighting - Part 3: Calculation of performance
Eclairage public - Partie 3: Calcul des performances StraEenbeleuchtung - Teil 3: Berechnung der
Giitemerkmale
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 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). 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, Cyprus, 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 and United Kingdom. EUROPEAN COMMITTEE FOR STANDARDIZATION
CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels

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 requirements 12
5 Photometric data 12
5.1 General 12
5.2 The /-table 12
5.2.1 System of coordinates and advised angular intervals of the /-table 12
5.2.2 Linear interpolation in the /-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 Calculation of I(C, y) 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 6.4.1 Calculation of x',y' and H': 22
6.4.2 Evaluation of installation azimuth <p 23
6.4.3 Calculation of C 23
6.4.4 Calculation of 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 29
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 calculation 34
7.2.9 Illuminance on areas of irregular shape 3 5
8 Calculation of quality characteristics 3 5
8.1 General 35
8.2 Average luminance 35
8.3 Overall uniformity 35
8.4 Longitudinal uniformity 35
8.5 Threshold increment/ri 36
8.5.1 Definition 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 Rei 39
9 Ancillary data 41
Annex A (informative) Mathematical information technology conventions and flow chart diagrams 43
A.l 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 T echnology requirements 49
Annex Bibliography 63

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 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 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 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 calculation, L v , 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, 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/ri;
—? there is a new formula for calculating veiling luminance L v , for a wider range of 0 values. Thus the case where luminaires could be very near to the axis of vision of the observer: 0,l NOTE for programmers: Calculation of threshold increment / 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.
EN 13201, Road lighting is a series of documents that consists of the following parts:
—? Part 1: Guidelines on selection of lighting classes [Technical Report];
—? Part 2: Performance requirements;
—? Part 3: Calculation of performance [present document];
—? Part 4: Methods of measuring lighting performance;
—? Part 5: Energy performance indicators.
According to the CEN-CENELEC Internal Regulations, the national standards organizations of the following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria, Croatia, Cyprus, 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 and the United Kingdom.
Introduction
The calculation methods described in this part of EN 13201 enable road lighting quality characteristics to be calculated by agreed procedures so that results obtained from different designers will have a uniform basis. 1 Scope
This European Standard specifies the conventions and mathematical procedures to be adopted in calculating the photometric performance of road lighting installations designed in accordance with the parameters described in EN 13201-2 to ensure that every lighting calculation is based on the same mathematical principles.
The design procedure of a lighting installation also requires the knowledge of the parameters involved in the described model, their tolerances and variability. These aspects are not considered in this part of EN 13201 but a procedure to analyse their contribution in the expected results is suggested in EN 13201-4 and it can also be used in the design phase.
2 Normative references
The following documents, in whole or in part, are normatively referenced in this document and are indispensable for its application. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.
EN 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
EN 12665:2011, Light and lighting — Basic terms and criteria for specifying lighting requirements
3 Terminology
3 .1 Terms and definitions
For the purposes of this document, the terms and definitions given in EN 12665:2011 and the following apply.
3.1.1
vertical photometric angle
Y
angle between the light path and the downward vertical axis both passing through the luminaire photometric centre
Note 1 to entry: Unit Note 2 to entry: The direction Note 3 to entry: See Figure 1.
3.1.2
azimuth
C
angle between the vertical half plane passing through the light path and the reference half plane
Note 1 to entry: l.e. the vertical half plane passing through the second axis of a luminaire, when the luminaire is at its tilt during measurement.
Note 2 to entry: Unit 0 (degree).
Note 3 to entry: See Figure 1.
3.1.3
angle of incidence
angle between the light path at a point on a surface and the normal to the surface
Note 1 to entry: Unit Note 2 to entry: See Figure 4, Figure 12 and Figure 13.
3.1.4
angle of deviation
P
angle between the oriented vertical planes through the observer to the point of observation and from the point of observation through the luminaire (with respect to luminance coefficient)
Note 1 to entry: Unit Note 2 to entry: See Figure 4.
3.1.5
luminance coefficient
quotient of the luminance of a surface element in a given direction by the illuminance on the surface element
Note 1 to entry: Unit sr 1 .
Note 2 to entry:
L
h
where
q is the luminance coefficient, in reciprocal steradians (sr 1 );
L is the luminance, in candelas per square metre (cdnr 2 );
E is the illuminance, in lux (lx).
3.1.6
reduced luminance coefficient
r
luminance coefficient of a surface element multiplied by the cube of the cosine of the angle of incidence of the light on the surface element
Note 1 to entry: Unit sr 1 .
Note 2 to entry: This can be expressed by the formula: r = q cos 3 c (refer to CIE 66) (2)
where
q is the luminance coefficient, in reciprocal steradians;
e is the angle of incidence, in deg