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    Short-circuit currents

    Calculation of effects

    Part 1:

    Definitions and calculation methods

    Reference number

    IEC 60865-1:1993(E)

    INTERNATIONALSTANDARD

    IEC

    60865-1

    Second edition1993-09

    This English-language version is derived from the originalbilingual publication by leaving out all French-languagepages. Missing page numbers correspond to the French-language pages.

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    Publication numbering

    As from 1 January 1997 al l IEC publicat ions are issued wi th a des ignati on in the60000 series. For example, IEC 34-1 is now referr ed to as IEC 60034-1.

    Consolidated editions

    The IEC is now publishing consolidated versions of its publications. For example,edition numbers 1.0, 1.1 and 1.2 refer, respectively, to the base publication, thebase publication incorporating amendment 1 and t he base publication incorporatingamendments 1 and 2.

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    The technical content of IEC publications is kept under constant review by the IEC,thus ensuring that the content reflects current technology. Information relating tothis publication, including its validity, is available in the IEC Catalogue ofpublications (see below) in addition to new editions, amendments and corrigenda.Information on the subjects under consideration and work in progress undertakenby the technical committee which has prepared this publication, as well as the list

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    Short-circuit currents

    Calculation of effects

    Part 1:

    Definitions and calculation methods

    For price, see current catalogue

    IEC 1993 Copyright - all rights reserved

    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 the publisher.

    International Electrotechnical Commission, 3, rue de Varemb, PO Box 131, CH-1211 Geneva 20, Switzerland

    Telephone: +41 22 919 02 11 Telefax: +41 22 919 03 00 E-mail: [email protected] Web: www.iec.ch

    INTERNATIONALSTANDARD

    IEC

    60865-1

    Second edition1993-09

    XA Commission Electrotechnique InternationaleInternational Electrotechnical Commission

    PRICE CODE

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    Publication 865 -1 de la

    CEI

    Deuxime dition 1993)

    Courants de court-circuit -

    Calcul des

    effets

    Partie 1: Dfinitions et mthodes de calcul

    IEC Publication 865-1

    Second edit ion 1993)

    Short-circuit currents -

    Calculation of effects

    Part 1: Definitions and calculation methods

    C O R R I G E N D U M

    Page 64, tableau 2

    Dans la troisime

    colonne

    pour un court-

    circuit biphas, au lieu de:

    1,8

    lire:

    -

    un tiret)

    Page 74, figure 2

    Sur la gauche des de ssins,

    ajouter:

    a)

    et

    b

    espectivement.

    Page 104, a nnexe A, article A.2

    Remplacer la dernire ligne de lquation

    existante

    par la nouvelle

    l igne suivante:

    Page 65, table 2

    In the third column for a

    line-to-line

    short

    circuit, instead of:

    1,8

    read:

    - dash)

    Page 75, figure 2

    Add, at the left-hand side of the drawings:

    a)

    and

    b

    respectively.

    Page 105, annex A, clause A.2

    Replace the last line of the e xisting equ ation

    by the following new line:

    arctan

    a/d)

    + 1

    /d

    a/d) -1 a/d

    b/d

    2

    /d

    -2 arctan

    b d

    + arctan

    d

    Mars 1995

    arch 1995

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    865-1 IEC:1993

    3

    CONTENTS

    Page

    FOREWORD

    Section 1:

    General

    lause

    1.1 Scope and object

    9

    1.2 Normative references

    9

    1.3 Equations symbols and units

    11

    1.3.1

    ymbols for section 2 E lectromagnetic effects

    1.3.2

    ymbols for section 3 Therm al effects

    7

    1.4 Definitions

    19

    1.4.1

    efinitions for section 2 Electromagnetic effects

    9

    1.4.1.1 Main conductor

    9

    1.4.1.2 Sub-conductor

    9

    1.4.1.3 Fixed support

    9

    1.4.1.4 Simple suppo

    rt

    9

    1.4.1.5 Connecting piece

    9

    1.4.1.6 Short-circuit tensile force F

    t

    9

    1.4.1.7 D

    ro

    p force F

    f

    9

    1.4.1.8 Pinch force

    Fpi

    2

    1.4.1.9 Duration of the first short-circuit current flow

    T

    k l

    2

    1.4.2

    efinitions for section 3 - Thermal effects

    2

    1.4.2.1 Thermal equivalent short-time current

    th

    2

    1.4.2.2 Rated short-time withstand current

    th r

    2

    1.4.2.3 Thermal equivalent short-time current density

    S

    2

    1.4.2.4 Rated short-time withstand current density S

    for conductors

    2

    1.4.2.5 Duration of short-circuit current

    Tk

    1

    1.4.2.6 Rated sho

    rt

    time,

    Tk r

    2

    Section 2:

    The electromagn etic effect on rigid conductors

    and flexible conductors

    2 1 General

    23

    2.1.1

    nfluence on stress reduction

    23

    2.1.2

    onsideration of automatic reclosing

    23

    2.2 Rigid conductor arr

    an

    gements

    25

    2.2.1

    alculation of electromagnetic forces

    25

    2.2.1.1 Calculation of peak force between the main conductors during a three-phase

    sho

    rt

    circuit

    25

    2.2.1.2 Calculation of peak force between the main conductors during a line-to-line

    sho

    rt

    circuit

    25

    2.2.1.3 Calculation of peak value of for

    ce

    s between cop lanar sub-conductors

    25

    2.2.1.4 Effective dist

    an

    ce between main conductors

    an

    d

    between sub-conductors

    27

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    865-1 IEC:1993

    5

    lause

    age

    2.2.2

    alculation of st

    re

    sses in rigid conductors

    an

    d

    forces on supports

    27

    2.2.2.1 General

    27

    2.2.2.2 Calculation of stresses in rigid conductors

    27

    2.2.2.3 Section modulus

    and

    factor

    q

    of main conductors composed of sub-conductors 31

    2.2.2.4 Permitted conductor stress

    3

    2.2.2.5 Calculation of forces on supports of rigid conductors

    33

    2.2.2.6 Calculation with special

    re

    gard to conductor oscillation

    33

    2.3 Flexible conductor arrangements

    37

    2.3.1

    eneral

    37

    2.3.2 Effects on main conductors

    37

    2.3.2.1 Characteristic dimensions

    andparameters

    39

    2.3.2.2 Tensile force Ft during sho

    rt

    circuit caused by swing out short-circuit

    tensile force)

    43

    2.3.2.3 Tensile force

    after sho

    rt

    circuit caused by drop (drop force)

    43

    2.3.2.4 Ho

    ri

    zontal span displacement b

    an

    d

    minimum air clearance am n

    45

    2.3.3 Tensile force

    caused by the pinch effect

    47

    2.3.3.1 Characteristic dimensions and parameters

    47

    2.3.3.2 Tensile force

    n the c as

    e of clashing sub-conductors

    49

    2.3.3.3 Tensile force

    in the c as

    e of non -clashing sub-conductors

    5

    2.4 Structure loads due to electromagnetic effects

    53

    2.4.1

    esign load for post isulators, their supp o

    rts and

    connectors

    53

    2.4.2esign load for structu

    re s, insulators

    and

    connectors, with tensile forces

    transmitted by insulator chains

    55

    2.4.3

    esign load for foundations

    55

    Section

    3: The thermal effect on bare conductors and electrical equipment

    3.1 General

    57

    3.2 Calculation of temperature rise

    57

    3.2.1

    eneral

    57

    3.2.2

    alculation of thermal equivalent short-time current

    57

    3.2.3

    alculation of temp erature rise

    and

    rated short-time withstand current density

    for conductors

    59

    3.2.4

    alculation of the thermal short-circuit strength for different durations

    of the short-circuit current

    6

    3.2.4.1 Electrical equipment

    6

    3.2.4.2 Conductors

    6

    TABLES

    63

    FIGURES

    73

    ANNEXES

    A Equations for calculation of diagrams

    105

    B Iteration-procedure for calculation of factor rl for the tensile force

    F p l in the c

    as

    e of

    non-clashing bundled conductors according to IEC 865, 2.3.3.3 equation 62)

    115

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    IEC 60865-1 Ed. 2.0 Short-circuit currents -

    Calculation of effects - Part 1: Definitions and

    calculation methods

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