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ПІДТВЕРДЖУ ВАЛЬНЕ ПОВІДОМЛЕННЯ

Державне підприємство

«Український науково-дослідний і навчальний центр
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(ДП «УкрНДНЦ»)

Наказ від 22.08.2016 № 243

EN 13201-3:2015

Road lighting - Part 3: Calculation of performance

прийнято як національний стандарт
методом «підтвердження» за позначенням

ДСТУ EN 13201-3: 2016
(EN 13201-3:2015, IDT)

Вуличне освітлення. Частина 3. Розрахунок робочих параметрів.

Копію цього стандарту можна отримати
у Національному фонді нормативних документів

З наданням чинності від 2016-09-01

EN 13201-3

December 2015

EUROPEAN STANDARD

NORME EUROPEENNE

EUROPAISCHE NORM

S

ICS 93.080.40

upersedes 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 СОМІТЁ EUROPEEN DE NORMALISATION EUROPAISCHES KOMITEE FUR NORMUNG

C

Ref.No.EN 13201-3:2015 E

EN-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

.Contents Page

European foreword 4

Introduction 5

1. Scope 6

2. Normative references 6

3. Terminology 6

   1. Terms and definitions 6

   2. List of symbols and abbreviations 9

4. Mathematical conventions 11

   1. General 11

   2. Decimal places of the requirements 12

5. Photometric data 12

   1. General 12

   2. The /-table 12

      1. System of coordinates and advised angular intervals of the /-table 12

      2. Linear interpolation in the /-table 14

   3. The r-table 16

      1. The r-table format 16

      2. Linear interpolation in the r-table 19

6. Calculation of I(C, y) 19

   1. General 19

   2. Mathematical conventions for distances measured on the road 19

   3. Mathematical conventions for rotations 20

   4. Calculation of C and у 22

      1. Calculation ofx',y' and H': 22

      2. Evaluation of installation azimuth <p 23

      3. Calculation of C 23

      4. Calculation of у 23

7. Calculation of photometric quantities 24

   1. Luminance 24

      1. Luminance at a point 24

      2. Field of calculation for luminance 25

      3. Position of calculation points 26

      4. Position of observer 27

      5. Luminaires included in calculation 29

   2. Illuminance 29

      1. General 29

      2. Horizontal illuminance at a point 30

      3. Hemispherical illuminance at a point 30

      4. Semi-cylindrical illuminance at a point 31

      5. Vertical illuminance at a point 32

      6. Field of calculation for illuminance 33

      7. Position of calculation points 33

      8. Luminaires included in calculation 34

      9. Illuminance on areas of irregular shape 3 5

8. Calculation of quality characteristics 3 5

   1. General 35

   2. Average luminance 35

   3. Overall uniformity 35

   4. Longitudinal uniformity 35

   5. Threshold increment/ri 36

      1. Definition and conventional hypotheses 36

      2. Threshold Increment calculation process 38

      3. Threshold increment calculation for C and P lighting classes 39

   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 В (informative) Extended r-table format for low mounting height luminaire 61

Bibliography 63European 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°< 0 < 1,5° can be evaluated with Formula (38).

NOTE for programmers: Calculation of threshold increment/ті, (new symbol for TI designation) has changed in the revision of EN 13201-3:2003.

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

1. 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.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

4. .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 ° (degree).

Note 2 to entry: The direction у = 0 is therefore oriented to the nadir.

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: Unit⁰ (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 ° (degree).

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 ° (degree).

Note 2 to entry: See Figure 4.

3.1.5

luminance coefficient

Я

quotient of the luminance of a surface element in a given direction by the illuminance on the surface element

Note 1 to entry: Unit sr¹.

Note 2 to entry:

L

Я~~ (1)

h

where

q is the luminance coefficient, in reciprocal steradians (sr¹);

L is the luminance, in candelas per square metre (cdnr²);

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 sr¹.

Note 2 to entry: This can be expressed by the formula: r = q cos³ c (refer to CIE 66) (2)

where

q is the luminance coefficient, in reciprocal steradians;

e is the angle of incidence, in degree.

Note 3 to entry: The angle of observation, a in Figure 4, affects the value of r. In accordance with the requirements specified in EN 13201-2, consider this angle fixed at 1° and this value is adopted for the calculation described in this standard, r is reasonably constant for values of a between 0,5° and 1,5°.

3.1.7

tilt during measurement

0m

angle between a defined datum axis on a luminaire and the horizontal when the luminaire is mounted for photometric measurement

Note 1 to entry: Unit ° (degree).

Note 2 to entry: See Figure 7.

Note 3 to entry: 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.

3.1.8

tilt for calculation '

5

difference in angle between the tilt in application and the tilt during measurement of a luminaire

Note 1 to entry: Unit⁰ (degree). '

Note 2 to entry: See Figure 7.

3.1.9

tilt in application

0t

angle between a defined datum axis on a luminaire and the horizontal when the luminaire is mounted for field use

Note 1 to entry: Unit ° (degree).

Note 2 to entry: See Figure 7.

Note 3 to entry: 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.

3.1.10 orientation

V

angle a chosen reference direction makes with the C = 0°, у = 90° measurement direction of a luminaire when the first photometric axis of the luminaire is vertical

Note 1 to entry: Unit ° (degree).

Note 2 to entry: When the road is straight the reference direction is longitudinal.

Note 3 to entry: See Figure 6, which illustrates the sign conventions.

rotation

Ф

angle the first photometric axis of a luminaire makes with the nadir of the luminaire in the plane C = 0°, C - 180°, when the tilt during measurement is zero

Note 1 to entry: Unit ° (degree).

Note 2 to entry: See Figure 6, which illustrates the sign conventions.

first photometric axis (of a luminaire when measured in the (C, y) coordinate system)

axis through the photometric centre of a luminaire and perpendicular to the plane which is representative of the main light emitting area

Note 1 to entry: The polar axis of the (C, y) coordinate system does not necessarily coincide with the first axis of the luminaire if the luminaire is tilted during measurement.

longitudinal direction

direction parallel to the axis of the road

transverse direction

direction at right angles to the axis of the road

Note 1 to entry: On a curved road the transverse direction is that of the radius of curvature at the point of interest on the road.

installation azimuth

<P

angle a chosen reference direction (which is longitudinal for a straight road) makes with the vertical plane through a given point on the road surface and the photometric centre of a luminaire, when the luminaire is at its tilt during measurement

Note 1 to entry: Unit (degree).

Note 2 to entry: See Figure 4.

3.2 List of symbols and abbreviations

The symbols and abbreviations used in this standard are listed in Table 1.

Table 1 — Symbols and abbreviations