SIST EN ISO 52022-3:2017

SLOVENSKI STANDARD
01-september-2017
Nadomešča:
SIST EN 13363-2:2005
SIST EN 13363-2:2005/AC:2006
Energijske lastnosti stavb - Lastnosti gradbenih komponent in elementov glede
toplote, sončnega obsevanja in dnevne svetlobe - 3. del: Podrobna računska
metoda za določitev značilnosti sončnega obsevanja in dnevne svetlobe za
senčila v kombinaciji z zasteklitvijo (ISO 52022-3:2017)
Energy performance of buildings - Thermal, solar and daylight properties of building
components and elements - Part 3: Detailed calculation method of the solar and daylight
characteristics for solar protection devices combined with glazing (ISO 52022-3:2017)
Energieeffizienz von Gebäuden - Wärmetechnische, solare und tageslichttechnische
Eigenschaften von Bauteilen und Bauelementen - Teil 3: Detailliertes
Berechnungsverfahren zur Ermittlung der solaren und lichttechnischen Eigenschaften
von Sonnenschutz in Kombination mit Verglasungen (ISO 52022-3:2017)
Performance énergétique des bâtiments - Thermiques, solaires et en lumière du jour des
composants et éléments du bâtiment - Partie 3: Méthode de calcul détaillée des
caractéristiques solaires et en lumière du jour pour les dispositifs de protection solaire
combinés à des vitrages (ISO 52022-3:2017)
Ta slovenski standard je istoveten z: EN ISO 52022-3:2017
ICS:
17.180.20 Barve in merjenje svetlobe Colours and measurement of
light
91.120.10 Toplotna izolacija stavb Thermal insulation of
buildings
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

EN ISO 52022-3
EUROPEAN STANDARD
NORME EUROPÉENNE
July 2017
EUROPÄISCHE NORM
ICS 91.120.10 Supersedes EN 13363-2:2005
English Version
Energy performance of buildings - Thermal, solar and
daylight properties of building components and elements -
Part 3: Detailed calculation method of the solar and
daylight characteristics for solar protection devices
combined with glazing (ISO 52022-3:2017)
Performance énergétique des bâtiments - Propriétés Energieeffizienz von Gebäuden - Wärmetechnische,
thermiques, solaires et lumineuses des composants et solare und tageslichttechnische Eigenschaften von
éléments du bâtiment - Partie 3: Méthode de calcul Bauteilen und Bauelementen - Teil 3: Detailliertes
détaillée des caractéristiques solaires et en lumière du Berechnungsverfahren zur Ermittlung der solaren und
jour pour les dispositifs de protection solaire combinés lichttechnischen Eigenschaften von Sonnenschutz in
à des vitrages (ISO 52022-3:2017) Kombination mit Verglasungen (ISO 52022-3:2017)
This European Standard was approved by CEN on 27 February 2017.

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, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland,
Turkey and United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION

EUROPÄISCHES KOMITEE FÜR NORMUNG

CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels
© 2017 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 52022-3:2017 E
worldwide for CEN national Members.

Contents Page
European foreword . 3
European foreword
This document (EN ISO 52022-3:2017) has been prepared by Technical Committee CEN/TC 89
“Thermal performance of buildings and building components” the secretariat of which is held by SIS, in
collaboration with Technical Committee ISO/TC 163 "Thermal performance and energy use in the built
environment".
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 January 2018, and conflicting national standards shall
be withdrawn at the latest by January 2018.
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. CEN shall not be held responsible for identifying any or all such patent rights.
This document has been prepared under a mandate given to CEN by the European Commission and the
European Free Trade Association.
This document is part of the set of standards on the energy performance of buildings (the set of EPB
standards) and has been prepared under a mandate given to CEN by the European Commission and the
European Free Trade Association (Mandate M/480, see reference [EF1] below), and supports essential
requirements of EU Directive 2010/31/EC on the energy performance of buildings (EPBD, [EF2]).
In case this standard is used in the context of national or regional legal requirements, mandatory
choices may be given at national or regional level for such specific applications, in particular for the
application within the context of EU Directives transposed into national legal requirements.
Further target groups are users of the voluntary common European Union certification scheme for the
energy performance of non-residential buildings (EPBD art.11.9) and any other regional (e.g. Pan
European) parties wanting to motivate their assumptions by classifying the building energy
performance for a dedicated building stock.
References:
[EF1] Mandate M480, Mandate to CEN, CENELEC and ETSI for the elaboration and adoption of
standards for a methodology calculating the integrated energy performance of buildings and
promoting the energy efficiency of buildings, in accordance with the terms set in the recast of
the Directive on the energy performance of buildings (2010/31/EU) of 14th December 2010
th
[EF2] EPBD, Recast of the Directive on the energy performance of buildings (2010/31/EU) of 14
December 2010
This document supersedes EN 13363-2:2005.
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, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland,
Turkey and the United Kingdom.
Endorsement notice
The text of ISO 52022-3:2017 has been approved by CEN as EN ISO 52022-3:2017 without any
modification.
INTERNATIONAL ISO
STANDARD 52022-3
First edition
2017-06
Energy performance of buildings —
Thermal, solar and daylight properties
of building components and
elements —
Part 3:
Detailed calculation method of the
solar and daylight characteristics for
solar protection devices combined
with glazing
Performance énergétique des bâtiments — Propriétés thermiques,
solaires et lumineuses des composants et éléments du bâtiment —
Partie 3: Méthode de calcul détaillée des caractéristiques solaires et
en lumière du jour pour les dispositifs de protection solaire combinés
à des vitrages
Reference number
ISO 52022-3:2017(E)
©
ISO 2017
ISO 52022-3:2017(E)
© ISO 2017, Published in Switzerland
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form
or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior
written permission. Permission can be requested from either ISO at the address below or ISO’s member body in the country of
the requester.
ISO copyright office
Ch. de Blandonnet 8 • CP 401
CH-1214 Vernier, Geneva, Switzerland
Tel. +41 22 749 01 11
Fax +41 22 749 09 47
copyright@iso.org
www.iso.org
ii © ISO 2017 – All rights reserved

ISO 52022-3:2017(E)
Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 2
4 Symbols and subscripts . 3
4.1 Symbols . 3
4.2 Subscripts . 3
5 Description of the method . 4
5.1 Output of the method . 4
5.2 General description . 4
6 Calculation method . 4
6.1 Output data . 4
6.2 Calculation time intervals . 5
6.3 Input data . 5
6.3.1 Solid layers . 5
6.3.2 Gas spaces . 6
6.4 Calculation procedure . 6
6.4.1 General. 6
6.4.2 Applicable time interval . 7
6.4.3 Solar radiation and light . 7
6.4.4 Heat transfer . 9
6.4.5 Energy balance .14
6.4.6 Boundary Conditions .14
7 Report .15
7.1 Contents of report .15
7.2 Drawing .16
7.3 Values used in the calculation .16
7.4 Presentation of results (see Table 4) .16
Annex A (normative) Input and method selection data sheet — Template .18
Annex B (informative) Input and method selection data sheet — Default choices .20
Annex C (normative) Regional references in line with ISO Global Relevance Policy .22
Annex D (normative) Determination of equivalent solar and light optical characteristics for
louvres or venetian blinds .23
Annex E (normative) Stack effect .27
Annex F (normative) Physical properties of gases .30
Bibliography .31
ISO 52022-3:2017(E)
Foreword
ISO (the International Organization for Standardization) is a worldwide federation of national standards
bodies (ISO member bodies). The work of preparing International Standards is normally carried out
through ISO technical committees. Each member body interested in a subject for which a technical
committee has been established has the right to be represented on that committee. International
organizations, governmental and non-governmental, in liaison with ISO, also take part in the work.
ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of
electrotechnical standardization.
The procedures used to develop this document and those intended for its further maintenance are
described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the
different types of ISO documents should be noted. This document was drafted in accordance with the
editorial rules of the ISO/IEC Directives, Part 2 (see www .iso .org/ directives).
Attention is drawn to the possibility that some of the elements of this document may be the subject of
patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of
any patent rights identified during the development of the document will be in the Introduction and/or
on the ISO list of patent declarations received (see www .iso .org/ patents).
Any trade name used in this document is information given for the convenience of users and does not
constitute an endorsement.
For an explanation on the voluntary nature of standards, the meaning of ISO specific terms and
expressions related to conformity assessment, as well as information about ISO’s adherence to the
World Trade Organization (WTO) principles in the Technical Barriers to Trade (TBT) see the following
URL: w w w . i s o .org/ iso/ foreword .html.
ISO 52022-3 was prepared by the European Committee for Standardization (CEN) Technical Committee
CEN/TC 89, Thermal performance of buildings and building components, in collaboration with ISO
Technical Committee ISO/TC 163, Thermal performance and energy use in the built environment,
Subcommittee SC 2, Calculation methods, in accordance with the agreement on technical cooperation
between ISO and CEN (Vienna Agreement).
A list of parts in the ISO 52022 series can be found on the ISO website.
iv © ISO 2017 – All rights reserved

ISO 52022-3:2017(E)
Introduction
This document is part of a series aimed at the international harmonization of the methodology for
assessing the energy performance of buildings. Throughout, this series is referred to as a “set of EPB
standards”.
All EPB standards follow specific rules to ensure overall consistency, unambiguity and transparency.
All EPB standards provide a certain flexibility with regard to the methods, the required input data and
references to other EPB standards, by the introduction of a normative template in Annex A and Annex B
with informative default choices.
For the correct use of this document, a normative template is given in Annex A to specify these choices.
Informative default choices are provided in Annex B.
The main target groups for this document are architects, engineers and regulators.
Use by or for regulators: In case this document is used in the context of national or regional legal
requirements, mandatory choices may be given at national or regional level for such specific
applications. These choices (either the informative default choices from Annex B or choices adapted to
national/regional needs, but in any case following the template of this Annex A) can be made available
as national annex or as separate (e.g. legal) document (national data sheet).
NOTE 1 So in this case:
— the regulators will specify the choices;
— the individual user will apply the document to assess the energy performance of a building, and thereby use
the choices made by the regulators.
Topics addressed in this document can be subject to public regulation. Public regulation on the same
topics can override the default values in Annex B of this document. Public regulation on the same topics
can even, for certain applications, override the use of this document. Legal requirements and choices
are in general not published in standards but in legal documents. In order to avoid double publications
and difficult updating of double documents, a national annex may refer to the legal texts where national
choices have been made by public authorities. Different national annexes or national data sheets are
possible, for different applications.
It is expected, if the default values, choices and references to other EPB standards in Annex B are not
followed due to national regulations, policy or traditions, that:
— national or regional authorities prepare data sheets containing the choices and national or regional
values, according to the model in Annex A. In this case a national annex (e.g. NA) is recommended,
containing a reference to these data sheets;
— or, by default, the national standards body will consider the possibility to add or include a national
annex in agreement with the template of Annex A, in accordance to the legal documents that give
national or regional values and choices.
Further target groups are parties wanting to motivate their assumptions by classifying the building
energy performance for a dedicated building stock.
More information is provided in the Technical Report accompanying this document (ISO/TR 52022-2).
The framework for overall EPB includes:
a) common terms, definitions and symbols;
b) building and assessment boundaries;
c) building partitioning into space categories;
ISO 52022-3:2017(E)
d) methodology for calculating the EPB (formulae on energy used, delivered, produced and/or
exported at the building site and nearby);
e) a set of overall formulae and input-output relations, linking the various elements relevant for the
assessment of the overall EPB;
f) general requirements for EPB dealing with partial calculations;
g) rules for the combination of different spaces into zones;
h) performance indicators;
i) methodology for measured energy performance assessment.
Table 1 shows the relative position of this document within the set of EPB standards in the context of
the modular structure as set out in ISO 52000-1.
NOTE 2 In ISO/TR 52000-2 the same table can be found, with, for each module, the numbers of the relevant
EPB standards and accompanying technical reports that are published or in preparation.
NOTE 3 The modules represent EPB standards, although one EPB standard could cover more than one module
and one module could be covered by more than one EPB standard, for instance, a simplified and a detailed method
respectively. See also Tables A.1 and B.1.
Table 1 — Position of this document (in casu M2-8) within the modular structure of the set of
EPB standards
Building
Overarching Technical Building Systems
(as such)
Building
Ven- Dehu- PV,
Sub- Descrip- Descrip- Descrip- Heat- Cool- Humid- Domestic automa-
tila- midifi- Lighting wind,
module tions tions tions ing ing ification hot water tion and
tion cation .
control
sub1 M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11
1 General General General
Common
terms and
definitions; Building en-
a
2 Needs
symbols, ergy needs
units and
subscripts
(Free)
indoor Maximum
3 Applications conditions load and
without power
systems
Ways to
Ways to ex- Ways to ex-
express
4 press energy press energy
energy per-
performance performance
formance
Building Heat
categories transfer by Emission and
and building transmis- control
boundaries sion
Building oc- Heat trans-
cupancy and fer by infil- Distribution
operating tration and and control
conditions ventilation
Aggregation
of energy
Internal Storage and
7 services
heat gains control
and energy
carriers
a
The shaded modules are not applicable.
vi © ISO 2017 – All rights reserved

ISO 52022-3:2017(E)
Table 1 (continued)
Building
Overarching Technical Building Systems
(as such)
Building
Ven- Dehu- PV,
Sub- Descrip- Descrip- Descrip- Heat- Cool- Humid- Domestic automa-
tila- midifi- Lighting wind,
module tions tions tions ing ing ification hot water tion and
tion cation .
control
sub1 M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11
ISO
Building Solar heat 520 Generation
zoning gains 22 and control
-3
Building Load dis-
Calculated
dynamics patching and
9 energy per-
(thermal operating
formance
mass) conditions
Measured Measured Measured
10 energy per- energy per- energy per-
formance formance formance
11 Inspection Inspection Inspection
Ways to ex-
12 press indoor BMS
comfort
External
13 environment
conditions
Economic
calculation
a
The shaded modules are not applicable.

INTERNATIONAL STANDARD ISO 52022-3:2017(E)
Energy performance of buildings — Thermal, solar
and daylight properties of building components and
elements —
Part 3:
Detailed calculation method of the solar and daylight
characteristics for solar protection devices combined
with glazing
1 Scope
This document specifies a detailed method, based on spectral data of the transmittance and reflectance
of the constituent materials (solar protection devices and the glazing), to determine the total solar
energy transmittance, the total light transmittance and other relevant solar-optical data of the
combination. If spectral data are not available, the methodology can be adapted to use integrated data.
The method is valid for all types of solar protection devices parallel to the glazing such as louvres,
venetian blinds, or roller blinds. The blind may be located internally, externally, or enclosed between
the panes of the glazing. Ventilation of the blind is allowed for in each of these positions in determining
the solar energy absorbed by the glazing or blind components, for vertical orientation of the glazing.
The blind component materials may be transparent, translucent or opaque, combined with glazing
components with known solar transmittance and reflectance and with known emissivity for thermal
radiation.
The method is based on a normal incidence of radiation and does not take into account an angular
dependence of transmittance or reflectance of the materials. Diffuse irradiation or radiation diffused
by solar protection devices is treated as if it were direct. Louvres or venetian blinds are treated as
homogenous materials by equivalent solar optical characteristics, which may depend on the angle of the
incidence radiation. The current method is limited to vertical installation ±15°. For situations outside
the scope of this document; ISO 15099 covers a wider range of situations.
The document also gives certain normalized situations, additional assumptions and necessary
boundary conditions.
NOTE Table 1 in the Introduction shows the relative position of this document within the set of EPB
standards in the context of the modular structure as set out in ISO 52000-1.
2 Normative references
The following documents are referred to in the text in such a way that some or all of their content
constitutes requirements of this document. For dated references, only the edition cited applies. For
undated references, the latest edition of the referenced document (including any amendments) applies.
ISO 7345, Thermal insulation — Physical quantities and definitions
ISO 9288, Thermal insulation — Heat transfer by radiation — Physical quantities and definitions
ISO 9488, Solar energy — Vocabulary
ISO 9050, Glass in building — Determination of light transmittance, solar direct transmittance, total solar
energy transmittance, ultraviolet transmittance and related glazing factors
ISO 52022-3:2017(E)
ISO 10292, Glass in building — Calculation of steady-state U values (thermal transmittance) of multiple
glazing
ISO 52000-1:2017, Energy performance of buildings — Overarching EPB assessment — Part 1: General
framework and procedures
EN 410, Glass in building — Determination of luminous and solar characteristics of glazing
EN 673, Glass in building — Determination of thermal transmittance (U value) — Calculation method
EN 14500, Blinds and shutters — Thermal and visual comfort — Test and calculation methods
NOTE Default references to EPB standards other than ISO 52000-1 are identified by the EPB module code
number and given in Annex A (normative template in Table A.1) and Annex B (informative default choice in
Table B.1).
EXAMPLE EPB module code number: M5–5, or M5–5.1 (if module M5–5 is subdivided), or M5–5/1 (if
reference to a specific clause of the standard covering M5–5).
3 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO 7345, ISO 9288, ISO 9488,
ISO 52000-1 and the following apply.
ISO and IEC maintain terminological databases for use in standardization at the following addresses:
— IEC Electropedia: available at http:// www .electropedia .org/
— ISO Online browsing platform: available at http:// www .iso .org/ obp
3.1
solar radiation and light
radiation in the whole solar spectrum or any part of it, comprising ultra-violet, visible and near infra-
red radiation in the wavelength range of 0,3 μm to 2,5 μm
Note 1 to entry: Sometimes called shortwave radiation, see ISO 9488.
3.2
thermal radiation
radiation emitted by any surface at or near ambient temperature in the far infrared in the wavelength
range of 3 µm to 100 µm
Note 1 to entry: The definition deviates from ISO 9288.
Note 2 to entry: Sometimes called longwave radiation, see ISO 9488.
3.3
total solar energy transmittance
total transmitted fraction of the incident solar radiation consisting of direct transmitted solar radiation
and the part of the absorbed solar radiation transferred by convection and thermal radiation to the
internal environment
3.4
light transmittance
transmitted fraction of the incident solar radiation in the visible part of the solar spectrum
Note 1 to entry: See also EN 410 and ISO 9050.
3.5
normalized radiant flow rate
radiant flow rate divided by the incident radiant flow rate
2 © ISO 2017 – All rights reserved

ISO 52022-3:2017(E)
3.6
EPB standard
[2]
standard that complies with the requirements given in ISO 52000-1, CEN/TS 16628 and
[3]
CEN/TS 16629
Note 1 to entry: These three basic EPB documents were developed under a mandate given to CEN by the European
Commission and the European Free Trade Association (Mandate M/480), and support essential requirements of
EU Directive 2010/31/EU on the energy performance of buildings (EPBD). Several EPB standards and related
documents are developed or revised under the same mandate.
[SOURCE: ISO 52000-1:2017, definition 3.5.14]
4 Symbols and subscripts
4.1 Symbols
For the purposes of this document, the symbols given in ISO 52000-1 and the following apply.
Symbol Name of quantity Unit
E incident solar radiation flow rate, solar irradiation W/m²
S
I normalized radiant flow rate —
H height of a ventilated space m
T thermodynamic temperature K
U thermal transmittance W/(m²⋅K)
Z pressure loss factor —
g total solar energy transmittance (solar factor) —
h heat transfer coefficient or thermal conductance of gas space W/(m²⋅K)
q density of heat flow rate W/m²
s width of a space m
z vertical coordinate m
ε thermal emissivity —
α absorptance —
α solar direct absorptance —
e
λ thermal conductivity W/(m⋅K)
λ wavelength µm
ρ reflectance of the side facing the incident radiation —
ρ’ reflectance of the side facing away from the incident radiation —
ρ solar direct reflectance —
e
ρ light reflectance —
v
-8 4
σ Stefan-Boltzmann constant 5,67 × 10 W/(m²⋅K )
τ solar direct transmittance —
e
τ light transmittance —
v
4.2 Subscripts
For the purposes of this document, the subscripts given in ISO 52000-1 and the following apply.
Subscript Definition
a absorbed
c conductive/convective
d diffuse
ISO 52022-3:2017(E)
Subscript Definition
e external environment
g gas
i internal environment
j, k integer, number of layer or space
r radiant
tot total
th thermal radiation
v ventilated
B blind
D direct
5 Description of the method
5.1 Output of the method
The possible outputs of this document are the following:
— the total solar energy transmittance for a glazing in combination with an external or internal or
integrated solar protection device, g ;
tot
— the total solar direct transmittance for a glazing in combination with an external or internal or
integrated protection device, τ ;
e,tot
— the total light transmittance for a glazing in combination with an external or internal or integrated
solar protection device, τ .
v,tot
5.2 General description
In general, the total solar energy transmittance, the total solar direct transmittance and the total light
transmittance is calculated as a function of the thermal resistance and spectral “optical” properties
(transmittance, reflectance) of the individual layers.
Throughout this document, where indicated in the text, Table C.1 shall be used to identify alternative
regional references in line with ISO Global Relevance Policy.
6 Calculation method
6.1 Output data
The main output of this document are the total solar energy transmittance, the total solar direct
transmittance and the total light transmittance for a glazing in combination with a solar protection
device (see Table 2).
4 © ISO 2017 – All rights reserved

ISO 52022-3:2017(E)
Table 2 — Output data
Validity
Description Symbol Unit Destination module Varying
interval
Total solar energy
g — M2-2, M2-3, M2-4 0 to 1 NO
tot
transmittance
Total solar direct
τ — M2-2, M2-3, M2-4 0 to 1 NO
e,tot
transmittance
Total light transmit-
τ — M2-2, M2-3, M2-4 0 to 1 NO
v,tot
tance
6.2 Calculation time intervals
The input, the method and the output data are for steady state conditions and therefore, there are no
time intervals.
6.3 Input data
6.3.1 Solid layers
The glass panes and the solar protection devices are considered as solid layers. The relevant
characteristics are as follows:
— for solar radiation and light: the spectral transmittance and the spectral reflectances of both sides;
— for thermal radiation: the transmittance and the emissivities of both sides.
For the determination of the characteristics of the glazing, see the procedures recommended for glazing
materials in EN 410 or ISO 9050; for solar shading devices, procedures given in EN 14500 are used.
However, for louvres or venetian blinds, Annex D gives a method to calculate equivalent values based
on similarly determined material properties.
NOTE Usually, these values are determined directly by the most appropriate optical method. For
more information on the determination of the characteristics, see CIE 130-1998 “Practical Methods for the
measurement of reflectance and transmittance”.
The individual layers are characterized by the quantities according to Table 3.
Table 3 — Identifiers for characteristics of the solid layers
Name Symbol Unit Range Origin Varying
ISO 9050 for
Spectral transmittance of the side glazing, EN 14500
of the solid layer facing the incident τ(λ) — 0 to1 for shading (or No
radiation see Subject 1 in
Table C.1)
ISO 9050 for
Spectral transmittance of the side glazing, EN 14500
of the solid layer facing away from τ′(λ) — 0 to1 for shading (or No
the incident radiation see Subject 1 in
Table C.1)
ISO 9050 for
Spectral reflectance of the side of glazing, EN 14500
the solid layer facing the incident ρ(λ) — 0 to1 for shading (or No
radiation see Subject 1 in
Table C.1)
ISO 52022-3:2017(E)
Table 3 (continued)
Name Symbol Unit Range Origin Varying
ISO 9050 for
Spectral reflectance of the side of glazing, EN 14500
the solid layer facing away from the ρ′(λ) — 0 to1 for shading (or No
incident radiation see Subject 1 in
Table C.1)
ISO/CD 19597
Thermal transmittance of the side
(under preparation)
of the solid layer facing the incident τ — 0 to1 No
th
(or see Subject 2 in
radiation
Table C.1)
ISO/CD 19597
Emissivity of the side of the solid (under preparation)
ε — 0 to1 No
layer facing the incident radiation (or see Subject 2 in
Table C.1)
ISO/CD 19597
Emissivity of the side of the solid
(under preparation)
layer facing away from the incident ε´ — 0 to1 No
(or see Subject 2 in
radiation
Table C.1)
6.3.2 Gas spaces
The thermal properties of closed spaces filled with air or gas shall be calculated in accordance with
ISO 10292 (or see Subject 3 in Table C.1). The spaces are described by their width, and the physical
properties of the gas Annex F shall be used to calculate the temperature dependent physical properties
of the gas.
Ventilated air spaces are described by the width and the height of the space and the physical properties
of the air.
6.4 Calculation procedure
6.4.1 General
The combination of glazing and solar protection devices consists of a series of solid layers separated
by air or gas filled spaces. The solid layers are assumed to be homogeneous with a negligible thermal
resistance. The transport of solar radiation and heat is considered to be one-dimensional, except for
ventilated spaces, where the two-dimensional convection is reduced to a one-dimensional formula.
The layers and spaces are numbered by j from 1 to n each, where space 0 represents the exterior surface
coefficient and layer 0 represents the external environment. Space n represents the interior surface
coefficient and layer n+1 the internal environment. Within the physical model, the number of layers is
unlimited. The basic formulae for solar radiation and heat transfer are given to establish the energy
balance of each layer. To solve the system of equations, the use of an iterative procedure is necessary
due to the non-linear interaction of temperature and heat transport.
6 © ISO 2017 – All rights reserved

ISO 52022-3:2017(E)
12 34 56 7
T
T
v
T
T
Key
T external air temperature 4 layer j
e
T external radiant temperature 5 space j
re
v external wind velocity 6 internal
e
T internal air temperature 7 solar radiation
i
T internal radiant temperature 8 direct solar and light transmittance
ri
1 external 9 direct solar and light reflectance
2 layer 1 10 thermal radiation and convection
3 space 1 11 layer n (direct and indirect)
NOTE 1 The internal and external environments are characterized by the air temperature and the radiant
temperature; the external environment is additionally characterized by the wind velocity.
NOTE 2 Be aware not to mix the key numbers of Figure 1 with the numbering of layers and spaces.
Figure 1 — Schematic presentation of a system consisting of layers and spaces
6.4.2 Applicable time interval
The calculations described in this document are steady-state and do not have time intervals.
6.4.3 Solar radiation and light
The solar and optical properties are independent of the intensity of the solar irradiation and
temperature in the system.
NOTE There are exceptions for certain materials (photochromic, thermochromic).
It is assumed that the spaces are completely transparent, without any absorption. Each solid layer is
characterized by the spectral transmittance and reflectance in the wavelength region between 0,3 μm
and 2,5 μm.
ISO 52022-3:2017(E)
For each wavelength λ and each layer j, the following formulae are valid for the normalized radiant flow
rates I and I’ (see Figure 2), as given in Formula (1):
IIλτ= λλ⋅ + ρλ′′⋅ I λ
() () () () ()
jj jj−1 j
(1)
II′′λρ= λλ⋅ +τ λλ⋅ I′
() () () () ()
jj−−11j jjj
where
τ (λ) is the spectral transmittance of the side facing the incident radiation;
j
τ’ (λ) is the spectral transmittance of the side facing away from the incident radiation;
j
ρ (λ) is the spectral reflectance of the side facing the incident radiation;
j
ρ’ (λ) is the spectral reflectance of the side facing away from the incident radiation;
j
I (λ) is the spectral normalized radiant flow rate inwards;
j
I’ (λ) is the spectral normalized radiant flow rate outwards.
j
NOTE For light scattering materials, the transmittances τ(λ) and τ’(λ) might be different.
ρ(λ) ρ’(λ)
τ(λ) τ’(λ)
j
I₋₁(λ) I(λ)
I’₋₁(λ) I’(λ)
Figure 2 — Schematic presentation of the characteristic data of layer j and the spectral flow rates
Formula (1) is solved with the boundary conditions:
IIλ ==10; ′
()
n λ
()
If the spectral normalized radiant flow rates I (λ) and I′ (λ) are known for each j, the spectral data of the
j j
system result in the following:
— the spectral transmittance, as given in Formula (2):
τλ = I λ (2)
() ()
n
— the spectral reflectance of the side facing the incident radiation, as given in Formula (3):
ρλ = I′ λ (3)
() ()
— the spectral absorptance of layer j, as given in Formula (4):
8 © ISO 2017 – All rights reserved

ISO 52022-3:2017(E)
   
αλ =−11ρλ −τλ ⋅ IIλρ+− ′′λτ− λλ⋅ ′ (4)
() () () () () () ()
jj jj−1 jj j
   
The solar direct transmittance τ , the solar direct reflectance ρ and the solar direct absorptance α
e e e,j
of each layer j shall be calculated from the spectral data according to the procedure given in EN 410 or
ISO 9050. Similarly, the light transmittance τ and the light reflectance ρ can be calculated.
v v
If the spectral reflectance ρ′ (λ) of the system facing the interior is required, solve Formula (1) with the
following boundary conditions:
IIλρ==01; ′′and use λλ= I
() () ()
0 n
n λ
()
If spectral data are not available, the calculation can be done with integrated data, taking note that the
accuracy is reduced for materials where the wavelength-dependent properties are different.
6.4.4 Heat transfer
6.4.4.1 Thermal radiation
The heat flow by thermal radiation depends on the temperatures in the system and is coupled with
other heat flows within the system. A separate solution is not possible in a normalized form.
For thermal radiation, it is convenient to use the emissivity instead of the reflectance, thus each layer j
is characterized by the following (see Figure 3):
— T temperature;
j
— τ transmittance for thermal radiation;
th,j
— ε effective emissivity of the side facing the exterior;
j
— ε’ effective emissivity of the side facing the interior;
j
— q radiative heat flow density inwards;
th
— q’ radiative heat flow density outwards.
th
j
ε τ ̦ ε’
q ̦₋₁ q ̦
T
Figure 3 — Schematic presentation of the characteristic data of layer j and the thermal
radiative heat flow density
Most solid layers are opaque in the region of thermal radiation (5 µm to 50 µm) and are described by
an integrated value, the corrected emissivity ε. This emissivity is determined by the measurement of
the spectral normal reflectance. The evaluation uses a correction for the hemispherical emission and
assumes no transparency as described in EN 673 or ISO 10292.
ISO 52022-3:2017(E)
For infrared transparen
...