IEC 60287-2-3:2024
(Main)Electric cables - Calculation of the current rating - Part 2-3: Thermal resistance - Cables installed in ventilated tunnels
Electric cables - Calculation of the current rating - Part 2-3: Thermal resistance - Cables installed in ventilated tunnels
IEC 60287-2-3:2024 describes a method for calculating the continuous current rating factor for cables of all voltages installed in ventilated tunnels. The method is applicable to any type of cable. The method applies to natural as well as forced ventilation. Longitudinal heat transfer within the cables and the surroundings of the tunnel is assumed to be negligible. All cables are assumed to be identical within the tunnel and it is assumed that the tunnel cross-section does not change with distance along the tunnel.
Câbles électriques - Calcul du courant admissible - Partie 2-3: Résistance thermique - Câbles posés dans les tunnels ventilés
IEC 60287-2-3:2024 est disponible sous forme de IEC 60287-2-3:2024 RLV qui contient la Norme internationale et sa version Redline, illustrant les modifications du contenu technique depuis l'édition précédente.
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IEC 60287-2-3 ®
Edition 2.0 2024-06
INTERNATIONAL
STANDARD
Electric cables – Calculation of the current rating –
Part 2-3: Thermal resistance – Cables installed in ventilated tunnels
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form
or by any means, electronic or mechanical, including photocopying and microfilm, without permission in writing from
either IEC or IEC's member National Committee in the country of the requester. If you have any questions about IEC
copyright or have an enquiry about obtaining additional rights to this publication, please contact the address below or
your local IEC member National Committee for further information.
IEC Secretariat Tel.: +41 22 919 02 11
3, rue de Varembé info@iec.ch
CH-1211 Geneva 20 www.iec.ch
Switzerland
About the IEC
The International Electrotechnical Commission (IEC) is the leading global organization that prepares and publishes
International Standards for all electrical, electronic and related technologies.
About IEC publications
The technical content of IEC publications is kept under constant review by the IEC. Please make sure that you have the
latest edition, a corrigendum or an amendment might have been published.
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further assistance, please contact the Customer Service
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IEC 60287-2-3 ®
Edition 2.0 2024-06
INTERNATIONAL
STANDARD
Electric cables – Calculation of the current rating –
Part 2-3: Thermal resistance – Cables installed in ventilated tunnels
INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
ICS 29.060.20 ISBN 978-2-8322-9062-0
– 2 – IEC 60287-2-3:2024 © IEC 2024
CONTENTS
FOREWORD . 4
INTRODUCTION . 6
1 Scope . 7
2 Normative references . 7
3 Terms, definitions and symbols. 7
3.1 Terms and definitions . 7
3.2 Symbols . 8
4 Description of method . 9
4.1 General description . 9
4.2 Basic formulae . 10
4.2.1 General . 10
4.2.2 Radial heat transfer by conduction within the cable . 11
4.2.3 Heat transfer by radiation from the cable surface to the inner wall of the
tunnel . 11
4.2.4 Heat transfer by convection from the cable surface to the air inside the
tunnel . 12
4.2.5 Heat transfer by convection from the air inside the tunnel to the inner
tunnel wall . 13
4.2.6 Longitudinal heat transfer by convection resulting from the forced or
natural flow of air along the tunnel . 14
4.2.7 Radial heat conduction in the soil surrounding the tunnel. 14
4.3 Set of formulae . 15
4.4 Solving . 16
4.5 Iterative process . 17
5 Formulae for air properties . 17
6 Temperature profile . 18
Annex A (informative) Calculation example . 19
A.1 Cable and installation . 19
A.2 Calculated values . 19
Annex B (informative) Delta-star transformation . 22
Annex C (informative) Calculation of C coefficient . 23
F
m
C.1 Definition of spacing . 23
C.2 Calculation of C coefficient . 23
Fm
Bibliography . 25
Figure A.1 – Temperature profile along a 1 km tunnel . 21
Figure A.2 – Temperature profile along a 10 km tunnel . 21
Figure B.1 – Delta-star transformation . 22
Figure C.1 – Spacing definitions . 23
Table 1 – C coefficient for radiation thermal resistance calculation . 12
F
m
Table 2 – Values of parameter K . 13
cv
Table A.1 – Installation data . 19
Table A.2 – Iterative process for a 1 km long tunnel . 20
Table C.1 – Expression for C coefficient calculation . 23
F
m
– 4 – IEC 60287-2-3:2024 © IEC 2024
INTERNATIONAL ELECTROTECHNICAL COMMISSION
____________
ELECTRIC CABLES –
CALCULATION OF THE CURRENT RATING –
Part 2-3: Thermal resistance – Cables installed in ventilated tunnels
FOREWORD
1) The International Electrotechnical Commission (IEC) is a worldwide organization for standardization comprising
all national electrotechnical committees (IEC National Committees). The object of IEC is to promote international
co-operation on all questions concerning standardization in the electrical and electronic fields. To this end and
in addition to other activities, IEC publishes International Standards, Technical Specifications, Technical Reports,
Publicly Available Specifications (PAS) and Guides (hereafter referred to as "IEC Publication(s)"). Their
preparation is entrusted to technical committees; any IEC National Committee interested in the subject dealt with
may participate in this preparatory work. International, governmental and non-governmental organizations liaising
with the IEC also participate in this preparation. IEC collaborates closely with the International Organization for
Standardization (ISO) in accordance with conditions determined by agreement between the two organizations.
2) The formal decisions or agreements of IEC on technical matters express, as nearly as possible, an international
consensus of opinion on the relevant subjects since each technical committee has representation from all
interested IEC National Committees.
3) IEC Publications have the form of recommendations for international use and are accepted by IEC National
Committees in that sense. While all reasonable efforts are made to ensure that the technical content of IEC
Publications is accurate, IEC cannot be held responsible for the way in which they are used or for any
misinterpretation by any end user.
4) In order to promote international uniformity, IEC National Committees undertake to apply IEC Publications
transparently to the maximum extent possible in their national and regional publications. Any divergence between
any IEC Publication and the corresponding national or regional publication shall be clearly indicated in the latter.
5) IEC itself does not provide any attestation of conformity. Independent certification bodies provide conformity
assessment services and, in some areas, access to IEC marks of conformity. IEC is not responsible for any
services carried out by independent certification bodies.
6) All users should ensure that they have the latest edition of this publication.
7) No liability shall attach to IEC or its directors, employees, servants or agents including individual experts and
members of its technical committees and IEC National Committees for any personal injury, property damage or
other damage of any nature whatsoever, whether direct or indirect, or for costs (including legal fees) and
expenses arising out of the publication, use of, or reliance upon, this IEC Publication or any other IEC
Publications.
8) Attention is drawn to the Normative references cited in this publication. Use of the referenced publications is
indispensable for the correct application of this publication.
9) IEC draws attention to the possibility that the implementation of this document may involve the use of (a)
patent(s). IEC takes no position concerning the evidence, validity or applicability of any claimed patent rights in
respect thereof. As of the date of publication of this document, IEC had not received notice of (a) patent(s), which
may be required to implement this document. However, implementers are cautioned that this may not represent
the latest information, which may be obtained from the patent database available at https://patents.iec.ch. IEC
shall not be held responsible for identifying any or all such patent rights.
IEC 60287-2-3 has been prepared by IEC technical committee 20: Electric cables. It is an
International Standard.
This second edition cancels and replaces the first edition published in 2017. This edition
constitutes a technical revision.
This edition includes the following significant technical changes with respect to the previous
edition:
a) symbols alignment with other parts of the IEC 60287 series.
The text of this International Standard is based on the following documents:
Draft Report on voting
20/2175/FDIS 20/2182/RVD
Full information on the voting for its approval can be found in the report on voting indicated in
the above table.
The language used for the development of this International Standard is English.
This document was drafted in accordance with ISO/IEC Directives, Part 2, and developed in
accordance with ISO/IEC Directives, Part 1 and ISO/IEC Directives, IEC Supplement, available
at www.iec.ch/members_experts/refdocs. The main document types developed by IEC are
described in greater detail at www.iec.ch/publications.
A list of all parts in the IEC 60287 series, published under the general title Electric cables –
Calculation of the current rating, can be found on the IEC website.
The committee has decided that the contents of this document will remain unchanged until the
stability date indicated on the IEC website under webstore.iec.ch in the data related to the
specific document. At this date, the document will be
• reconfirmed,
• withdrawn, or
• revised.
– 6 – IEC 60287-2-3:2024 © IEC 2024
INTRODUCTION
In the IEC 60287 series, IEC 60287-1 provides general formulae for ratings and power losses
of electric cables.
The IEC 60287-2 series presents formulae or calculation methods for thermal resistances.
IEC 60287-2-1 provides calculation methods for dealing with cables installed in free air
(see IEC 60287-2-1:2015, 4.2.1).
IEC 60287-2-2 provides a method and data for calculating reduction factors for cables in groups
running horizontally in free air.
IEC 60287-2-1 and IEC 60287-2-2 consider heat transfer only in a plane perpendicular to the
cables; they assume there is no longitudinal heat transfer.
This part of IEC 60287 deals with the rating for cabl
...
IEC 60287-2-3 ®
Edition 2.0 2024-06
REDLINE VERSION
INTERNATIONAL
STANDARD
colour
inside
Electric cables – Calculation of the current rating –
Part 2-3: Thermal resistance – Cables installed in ventilated tunnels
All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form
or by any means, electronic or mechanical, including photocopying and microfilm, without permission in writing from
either IEC or IEC's member National Committee in the country of the requester. If you have any questions about IEC
copyright or have an enquiry about obtaining additional rights to this publication, please contact the address below or
your local IEC member National Committee for further information.
IEC Secretariat Tel.: +41 22 919 02 11
3, rue de Varembé info@iec.ch
CH-1211 Geneva 20 www.iec.ch
Switzerland
About the IEC
The International Electrotechnical Commission (IEC) is the leading global organization that prepares and publishes
International Standards for all electrical, electronic and related technologies.
About IEC publications
The technical content of IEC publications is kept under constant review by the IEC. Please make sure that you have the
latest edition, a corrigendum or an amendment might have been published.
IEC publications search - webstore.iec.ch/advsearchform IEC Products & Services Portal - products.iec.ch
The advanced search enables to find IEC publications by a Discover our powerful search engine and read freely all the
variety of criteria (reference number, text, technical publications previews, graphical symbols and the glossary.
committee, …). It also gives information on projects, replaced With a subscription you will always have access to up to date
and withdrawn publications. content tailored to your needs.
IEC Just Published - webstore.iec.ch/justpublished
Electropedia - www.electropedia.org
Stay up to date on all new IEC publications. Just Published
The world's leading online dictionary on electrotechnology,
details all new publications released. Available online and once
containing more than 22 500 terminological entries in English
a month by email.
and French, with equivalent terms in 25 additional languages.
Also known as the International Electrotechnical Vocabulary
IEC Customer Service Centre - webstore.iec.ch/csc
(IEV) online.
If you wish to give us your feedback on this publication or need
further assistance, please contact the Customer Service
Centre: sales@iec.ch.
IEC 60287-2-3 ®
Edition 2.0 2024-06
REDLINE VERSION
INTERNATIONAL
STANDARD
colour
inside
Electric cables – Calculation of the current rating –
Part 2-3: Thermal resistance – Cables installed in ventilated tunnels
INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
ICS 29.060.20 ISBN 978-2-8322-9370-6
– 2 – IEC 60287-2-3:2024 RLV © IEC 2024
CONTENTS
FOREWORD . 4
INTRODUCTION . 2
1 Scope . 7
2 Normative references . 7
3 Terms, definitions and symbols. 7
3.1 Terms and definitions . 7
3.2 Symbols . 8
4 Description of method . 9
4.1 General description . 9
4.2 Basic formulae . 10
4.2.1 General . 10
4.2.2 Radial heat transfer by conduction within the cable . 11
4.2.3 Heat transfer by radiation from the cable surface to the inner wall of the
tunnel . 11
4.2.4 Heat transfer by convection from the cable surface to the air inside the
tunnel . 12
4.2.5 Heat transfer by convection from the air inside the tunnel to the inner
tunnel wall . 14
4.2.6 Longitudinal heat transfer by convection resulting from the forced or
natural flow of air along the tunnel . 14
4.2.7 Radial heat conduction in the soil surrounding the tunnel. 15
4.3 Set of formulae . 16
4.4 Solving . 17
4.5 Iterative process . 19
5 Formulae for air properties . 20
6 Temperature profile . 20
Annex A (informative) Calculation example . 22
A.1 Cable and installation . 22
A.2 Calculated values . 22
Annex B (informative) Delta-star transformation . 25
Annex C (informative) Calculation of Fm C coefficient. 27
Fm
C.1 Definition of spacing . 27
C
C.2 Calculation of coefficient . 27
Fm
Bibliography . 29
Figure A.1 – Temperature profile along a 1 km tunnel . 24
Figure A.2 – Temperature profile along a 10 km tunnel . 24
Figure B.1 – Delta-star transformation . 26
Figure C.1 – Spacing definitions . 27
Table 1 – F C coefficient for radiation thermal resistance calculation . 12
F
m
m
Table 2 – Values of parameter K . 14
cv
Table A.1 – Installation data . 22
Table A.2 – Iterative process for a 1 km long tunnel . 23
Table C.1 – Expression for F C coefficient calculation . 28
m F
m
– 4 – IEC 60287-2-3:2024 RLV © IEC 2024
INTERNATIONAL ELECTROTECHNICAL COMMISSION
____________
ELECTRIC CABLES –
CALCULATION OF THE CURRENT RATING –
Part 2-3: Thermal resistance – Cables installed in ventilated tunnels
FOREWORD
1) The International Electrotechnical Commission (IEC) is a worldwide organization for standardization comprising
all national electrotechnical committees (IEC National Committees). The object of IEC is to promote international
co-operation on all questions concerning standardization in the electrical and electronic fields. To this end and
in addition to other activities, IEC publishes International Standards, Technical Specifications, Technical Reports,
Publicly Available Specifications (PAS) and Guides (hereafter referred to as "IEC Publication(s)"). Their
preparation is entrusted to technical committees; any IEC National Committee interested in the subject dealt with
may participate in this preparatory work. International, governmental and non-governmental organizations liaising
with the IEC also participate in this preparation. IEC collaborates closely with the International Organization for
Standardization (ISO) in accordance with conditions determined by agreement between the two organizations.
2) The formal decisions or agreements of IEC on technical matters express, as nearly as possible, an international
consensus of opinion on the relevant subjects since each technical committee has representation from all
interested IEC National Committees.
3) IEC Publications have the form of recommendations for international use and are accepted by IEC National
Committees in that sense. While all reasonable efforts are made to ensure that the technical content of IEC
Publications is accurate, IEC cannot be held responsible for the way in which they are used or for any
misinterpretation by any end user.
4) In order to promote international uniformity, IEC National Committees undertake to apply IEC Publications
transparently to the maximum extent possible in their national and regional publications. Any divergence between
any IEC Publication and the corresponding national or regional publication shall be clearly indicated in the latter.
5) IEC itself does not provide any attestation of conformity. Independent certification bodies provide conformity
assessment services and, in some areas, access to IEC marks of conformity. IEC is not responsible for any
services carried out by independent certification bodies.
6) All users should ensure that they have the latest edition of this publication.
7) No liability shall attach to IEC or its directors, employees, servants or agents including individual experts and
members of its technical committees and IEC National Committees for any personal injury, property damage or
other damage of any nature whatsoever, whether direct or indirect, or for costs (including legal fees) and
expenses arising out of the publication, use of, or reliance upon, this IEC Publication or any other IEC
Publications.
8) Attention is drawn to the Normative references cited in this publication. Use of the referenced publications is
indispensable for the correct application of this publication.
9) IEC draws attention to the possibility that the implementation of this document may involve the use of (a)
patent(s). IEC takes no position concerning the evidence, validity or applicability of any claimed patent rights in
respect thereof. As of the date of publication of this document, IEC had not received notice of (a) patent(s), which
may be required to implement this document. However, implementers are cautioned that this may not represent
the latest information, which may be obtained from the patent database available at https://patents.iec.ch. IEC
shall not be held responsible for identifying any or all such patent rights.
This redline version of the official IEC Standard allows the user to identify the changes
made to the previous edition IEC 60287-2-3:2017. A vertical bar appears in the margin
wherever a change has been made. Additions are in green text, deletions are in
strikethrough red text.
IEC 60287-2-3 has been prepared by IEC technical committee 20: Electric cables. It is an
International Standard.
This second edition cancels and replaces the first edition published in 2017. This edition
constitutes a technical revision.
This edition includes the following significant technical changes with respect to the previous
edition:
a) symbols alignment with other parts of the IEC 60287 series.
The text of this International Standard is based on the following documents:
Draft Report on voting
20/2175/FDIS 20/2182/RVD
Full information on the voting for its approval can be found in the report on voting indicated in
the above table.
The language used for the development of this International Standard is English.
This document was drafted in accordance with ISO/IEC Directives, Part 2, and developed in
accordance with ISO/IEC Directives, Part 1 and ISO/IEC Directives, IEC Supplement, available
at www.iec.ch/members_experts/refdocs. The main document types developed by IEC are
described in greater detail at www.iec.ch/publications.
A list of all parts in the IEC 60287 series, published under the general title Electric cables –
Calculation of the current rating, can be found on the IEC website.
The committee has decided that the contents of this document will remain unchanged until the
stability date indicated on the IEC website under webstore.iec.ch in the data related to the
specific document. At this date, the document will be
• reconfirmed,
• withdrawn, or
• revised.
IMPORTANT – The "colour inside" logo on the cover page of this document indicates
that it contains colours which are considered to be useful for the correct understanding
of its contents. Users should therefore print this document using a colour printer.
– 6 – IEC 60287-2-3:2024 RLV © IEC 2024
INTRODUCTION
In the IEC 60287 series, IEC 60287-1 provides general formulae for ratings and power losses
of electric cables.
The IEC 60287-2 series presents formulae or calculation method
...
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