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    IEC_6 363 FAULT Study

    This chapter examines the short-circuit current calculation procedures used in the

    IEC_61363 Short Circuit Study.

    The IEC_61363 Study follows the specifications of theInternational Electrotechncal

    Commission (IEC) International Standard 61363: Electrical installations of ships and

    mobile and fixed offshore units Procedures for calculating short-circuit currents in

    three-phase a.c.

    This guide includes:

    Engineering Methodology

    Terminology and Symbols

    Assumptions and Equations

    PTW Applied Methodology

    Examples

    IN

    T

    H

    IS

    C

    H

    A

    P

    T

    E

    R

    IEC_61363 FAULT STUDY

    1.1 What is the IEC_61363 Study? 2

    1.2 Engineering Methodology 2

    1.3 PTW Applied Methodology 171.4 Application Example 24

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    1.1 What is the IEC_61363 Study?

    The IEC_61363 Short Circuit Study (referred to hereafter as IEC363) models the current

    that flows in the power system under abnormal conditions and determines the prospective

    fault currents in an electrical power system. These currents must be calculated in order toadequately specify electrical apparatus withstand and interrupting ratings. The Study

    results are also used to selectively coordinate time current characteristics of electrical

    protective devices.

    IEC363 represents conditions that may affect typical marine or offshore installations more

    significantly than land-based systems, including more emphasis on generator and motor

    decay.

    1.2 Engineering Methodology

    IEC Standard 61363 describes a detailed method for calculating three-phase short circuit

    duties for marine or offshore installation. The Standard contains 9 chapters. Individual

    paragraphs are referred to as articles or clauses, and sub-paragraphs are referred to as sub-

    clauses.

    1.2.1 IEC Standard 61363The IEC 61363 standard outlines procedures for calculating short-circuit currents that may

    occur on a marine or offshore a.c. electrical installation.

    The calculation methods are intended for use on unmeshed three-phase a.c. systems

    operating at 50 Hz or 60 Hz; having any system voltage specified in IEC 60092-201 table

    2; having one or more different voltage levels; comprising generators, motors,

    transformers, reactors, cables and converter units; having their neutral point connected to

    the ships hull through an impedance (designed to limit the short-circuit current flowing to

    the ships hull; or having their neutral point isolated from the ships hull.

    The IEC 61363 standard is intended for three-phase symmetrical short circuit conditions

    over the first 100 ms of the fault. The effects of voltage regulators are not considered.

    The primary reasons for performing the IEC 61363 short circuit calculations include:

    1) obtain the short-circuit current magnitude at each point in the power system;

    2) compare the calculated fault current to the ratings of installed equipment to verify

    the equipment ratings are adequate to handle the short circuit current;

    3) support proper selection of circuit protection equipment.

    Note that marine and offshore electrical systems typically have large generating capacities

    confined in a small area resulting in high short circuit values with low power factors.

    Special attention is required if the calculated power factor during fault conditions is below

    the power factor used to test the circuit breakers.

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    1.2.2 DefinitionsShort circuit

    accidental or intentional connection, by a relatively low resistance or impedance, of two or

    more points in a circuit which are normally at different voltages. [61363-1 IEC:1998]

    Short circuit current

    over-current resulting from a short circuit due to a fault or an incorrect connection in and

    electric circuit. [61363-1 IEC:1998]

    Prospective current

    Short-circuit current that would flow in the circuit if each pole of the device were replaced

    by a conductor of negligible impedance. [61363-1 IEC:1998]

    Symmetrical short-circuit current

    r.m.s. value of the a.c. symmetrical component of a prospective short-circuit current, the

    aperiodic component of current, if any, being neglected. [61363-1 IEC:1998]

    Initial symmetrical short-circuit current Ik

    r.m.s. value of the a.c. symmetrical component of a prospective short-circuit current

    applicable at the instant of short circuit if the impedance remains at zero-time value.

    [61363-1 IEC:1998]

    Current

    Theoretical maximum

    Peak at 1/2 cycle

    (DC decay)

    Bottom envelope

    Top envelope

    Decaying (aperiodic) component i

    Time

    2

    2

    I"

    i

    k

    p

    2 2 I k

    dc Asymmetrical valuesincluding motor contributions

    Steady state value(no motor contributions)

    dc

    i

    Subtransient short-circuit current Ikdin the direct axis

    r.m.s. value of the short-circuit current flowing through a circuit with rotating machines

    having an impedance equal to the transient impedance of the circuit. [61363-1 IEC:1998]

    Transient short-circuit current Ikdin the direct axis

    r.m.s. value of the short-circuit current flowing through a circuit with rotating machines

    having an impedance equal to the transient impedance of the circuit. [61363-1 IEC:1998]

    Steady-state short-circuit current Ikdin the direct axis

    r.m.s. value of the short-circuit symmetrical current flowing through a circuit with

    generators witch remains after the decay of the transient phenomena. [61363-1 IEC:1998]

    Aperiodic (d.c.) component of the short-circuit current IdcComponent of current in a circuit immediately after it has been suddenly short-circuited,

    all components of fundamental and higher frequencies being excluded. [61363-1

    IEC:1998]

    Peak short-circuit current Ip

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    Maximum possible instantaneous value of the prospective short-circuit current [61363-1

    IEC:1998]

    Direct-axis subtransient short-circuit time constant Td

    Time required for the rapidly changing component, present during the first few cycles in

    the direct-axis shrot-circuit current following a sudden change in operating conditions, to

    decrease to 1/e, i.e. 0.368 of its initial value, the machine (or equivalent machine) runningat rated speed. [61363-1 IEC:1998]

    Direct-axis subtransient open-circuit time constant Tdo

    Time required for the rapidly changing component present during the first few cycles of

    the open-circuit primary winding voltage which is due to direct-axis flux following a

    sudden change in operation, to decrease to 1/e i.e. 0.368 of its initial value, the machine

    running at rated speed. [61363-1 IEC:1998]

    Direct-axis transient short-circuit time constant Td

    Time required for the slowly changing component of the direct-axis short-circuit primary

    current following a sudden change in operating conditions, to decrease to 1/e ie.e 0.368 of

    its initial value, the machine running at rated speed. [61363-1 IEC:1998]

    Direct-axis transient opencircuit time constant Tdo

    Time required for a slowly changing component of the open-circuit primary voltage,

    whish is due to the direct-axis flux, follwing a sudden change in operating conditions, to

    decrease to 1/e i.e. 0.368 of its initial value, the machine running at rated speed. [61363-1

    IEC:1998]

    DC time constant Tdc

    Time required for the d.c. component present in the short-circuit current, following a

    sudden change in operating conditions, to decrease to 1/e i.d. 0.368 of its initial value, the

    machine running at rated speed. [61363-1 IEC:1998]

    Direct-axis subtransient reactance Xd (saturated)

    Quotient of the initial value of a sudden change in that fundamental a.c. component ofprimary voltage, which is produced by the total direct-axis primary flux, and the value of

    the simultaneous change in fundamental a.c. component of direct-axis primary current, the

    machine running at rated speed. [61363-1 IEC:1998]

    Direct-axis transient reactance Xd (saturated)

    Quotient of the initial value of a sudden change in that fundamental a.c. component of

    primary voltage, which is produced by the total direct-axis primary flux, and the value of

    the simultaneous change in fundamental a.c. component of direct-axis primary current, the

    machine running at rated speed and the high decrement components during the first cycles

    being excluded. [61363-1 IEC:1998]

    Direct-axis synchronous reactance Xd

    Quotient of the steady-state value of that fundamental a.c. component of primary voltagewhich is produced by the total direct-axis primary flux, and direct-axis primary current

    after the decay of the transient phenomena. [61363-1 IEC:1998]

    Stator resistance of a generator Ra

    Resistance of the stator of a synchronous machine, measured at d.c. current. [61363-1

    IEC:1998]

    Short-circuit impedance Z

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    Quotient of the sinusoidal voltage per phase on a balanced a.c. system and the same

    frequency component of the short-circuit current in that system. [61363-1 IEC:1998]

    Voltage source

    Active element which can be represented by an ideal voltage source independent of all

    currents and voltages in the circuit, in series with a passive circuit element. [61363-1

    IEC:1998]

    Nominal system voltage Un

    Voltage (line-to-line) by which a system is designated and to which certain operating

    characteristics are referred. [61363-1 IEC:1998]

    Subtransient voltage of a rotating machine E

    r.m.s. value of the symmetrical internal voltage of a machine which is active behind the

    subransient impedance Z at the moment of short circuit. [61363-1 IEC:1998]

    Transient voltage of a rotating machine E

    r.m.s. value of the symmetrical internal voltage of a machine which is active behind the

    transient impedance Z at the moment of short circuit. [61363-1 IEC:1998]

    Nominal value (n)

    Suitable approximate quantity value used to designate or identify a component, device or

    equipment. [61363-1 IEC:1998]

    Rated value (r)

    Quantity value assigned, generally by a manufacturer, for a specified operating condition

    of a component, device or equipment. [61363-1 IEC:1998]

    Equivalent generator

    Fictitious generator having characteristics which will produce the same short-circuit

    current at any point on an electrical installation, as would be produced by a combination

    of generators having different ratings and different characteristics, which are connected to

    the system. [61363-1 IEC:1998]

    Equivalent motor

    Fictitious motor having characteristics which will produce the same short-circuit current at

    any point on an electrical installation, as would be produced by a combination of motors

    having different ratings and different characteristics, which are connected to the system.

    [61363-1 IEC:1998]

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    1.2.3 IEC 61363 Symbols

    PTWs Reports and documentation conform to IEC 61363 notation, including:

    f phase Angle

    Eq subtransient q-axis voltage of a generator (r.m.s.)

    Eq transient q-axis voltage of a generator (r.m.s.)EM subtransient voltage of a motor (r.m.s.)

    f frequency

    fe lowest frequency of a shaft generator

    fr rated frequency of a network

    I* subtransient short-circuit current of the equivalent generator (r.m.s.)

    I* transient short-circuit current of the equivalent generator (r.m.s.)

    I* current of the equivalent generator (r.m.s.)

    IM* subtransient short-circuit current of the equivalent motor (r.m.s.)

    Ikd subtransient initial short-circuit current of a synchronous machine (r.m.s.)

    Ikd transient initial short-circuit current of a synchronous machine (r.m.s.)

    I current (r.m.s.)

    Iac a.c. component of the short-circuit current of a synchronous machine (r.m.s.)

    IacM symmetrical short-circuit current of an asynchronous motor (r.m.s.)ILR asynchronous motor locked rotor current

    idc d.c. component of the short-circuit current of a synchronous machine

    (instantaneous).

    idcM d.c. component of the short-circuit current of an asynchronous motor and an

    equivalent motor (instantaneous).

    ik upper envelope of the short-circuit current.

    I* steady-state short-circuit current of an equivalent generator (r.m.s.)

    Ikd steady-state short-circuit current of a synchronous machine (r.m.s.)

    iM upper envelope of the short-circuit current of an asynchronous motor.

    ip peak value of the short-circuit current of a synchronous machine.

    ipM peak value of the short-circuit current of an asynchronous motor.

    Ir rated current (r.m.s.)

    IrM rated current of an asynchronous motorR resistance

    R* resistance of an equivalent generator

    Ra stator resistance of a synchronous machine

    RC cable resistance

    Rdc d.c. resistance

    RM motor resistance

    RR rotor resistance of an asynchronous motor

    RR* rotor resistance of an equivalent asynchronous motor

    RS stator resistance of an asynchronous motor

    RS* stator resistance of an equivalent asynchronous motor

    RT resistance of a transformer

    t time duration from the beginning of a short circuit

    Td subtransient time constant of a synchronous machineTd transient time constant of a synchronous machine

    Td* subtransient time constant of an equivalent generator

    Td* transient time constant of an equivalent generator

    Te subtransient time constant of a synchronous machine including the non-active

    components

    Te transient time constant of a synchronous machine including the non-active

    components

    TM subtransient time constant of a an asynchronous motor

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    TMe subtransient time constant of a an equivalent asynchronous motor including

    connecting cables.

    Tdc d.c. time constant of a synchronous machine

    Tdc* d.c. time constant of an equivalent generator

    Tdce d.c. time constant of a synchronous machine including the non-active

    components.

    TdcM d.c. time constant of an asynchronous motorTdcM* d.c. time constant of an equivalent asynchronous motor

    TdcMe d.c. time constant of an asynchronous motor including the connecting cables.

    U0 prefault voltage (line-to-line)

    Un nominal voltage (line-to-line)

    Ur rated voltage (line-to-line)

    UrM rated voltage of a motor (line-to-line)

    X* subtransient reactance of an equivalent generator

    X reactance

    Xd subtransient reactance of a synchronous machine in the d-axis

    Xd transient reactance of a synchronous machine in the d-axis

    XM subtransient reactance of an asynchronous motor

    Z impedance

    Z* equivalent impedance

    1.2.4 MethodologyThe Conventional or Comprehensive short circuit analysis procedure involves reducing

    the network at the short circuit location to a single Thevenin equivalent impedance,

    determining the associated fault point R/X ratio calculated using complex vector algebra,

    and defining a driving point voltage (assuming the effect of transformer taps on bus

    voltage). The initial symmetrical short circuit current can be calculated and, given the

    fault location R/X ratios, the asymmetrical short circuit current at various times during the

    onset of the fault can be calculated.

    Conventional short circuit analysis techniques do not satisfy IEC Standard 61363

    methodology. IEC363 requires a time-dependent calculation divided into active and non-

    active components with separate AC and DC calculations. Active components, such as

    generators and motors, are combined to form equivalent motors and generators. The

    equivalent motors and generators are combined with non-active components, such as

    cables and transformers, to further adjust the impedance and time constants of the

    equivalent components.

    Short-Circuit Study Procedure

    The general study procedure outlined in the IEC 61363 standard includes:

    1. prepare a system one-line diagram;

    2. define component characteristics;

    3. calculate the time-dependent short-circuit currents at the major points in the system

    using the equations and methods described in the IEC 61363 standard;

    4. prepare a short-circuit summary and document study conclusions.

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    1.2.5 IEC 61363 Assumptions

    IEC 61363 standard outlines procedures for calculating short-circuit currents that may

    occur on a marine or offshore a.c. electrical installation. The calculation methods are for

    use on unmeshed three-phase alternating current systems, operating at 50 Hz or 60 Hz.

    The following assumptions are applied

    - All system capacitance are neglected

    - The short-circuit arc impedance is neglected

    - The short circuit occurs simultaneously in all three phases (three phase fault)

    - Unmeshed systems

    When calculating short-circuit currents, it is important to understand the difference

    between

    - The short-circuit current generated by an individual piece of equipment

    - The short-circuit current which results when several pieces of equipment are

    connected in a system.

    When an isolated machine is being considered, only the electrical parameters of the

    machine affect the short-circuit current generated. In a system, however, this current is

    limited by the impedance of the non-active components, for example, cables, transformers,

    etc., forming the system, changing both the transient and steady-state values of the

    resulting short-circuit current.

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    1.2.6 IEC 61363 Equations

    Generators

    Three-phase short-circuit current calculation

    The upper envelope of the maximum values of the three-phase short-circuit current of agenerator can be calculated as

    )()(2)( titIti dcack +=

    The a.c. component

    kd

    Tt

    kdkd

    Tt

    kdkdac IeIIeIItI dd ++=

    '" /'/'" )()()(

    2"2

    "

    0

    "

    "

    0"

    da

    q

    d

    q

    kd

    XR

    E

    Z

    EI

    +==

    2'2

    '0

    '

    '0'

    da

    q

    d

    q

    kd

    XR

    E

    Z

    EI

    +==

    ="

    0qE 000 cos3

    IRU

    a+ 2 + 0

    "

    00 sin3

    IXU

    d+ 2

    =' 0qE 000 cos3

    IRU

    a+ 2

    + 0'00 sin3

    IXU

    d+ 2

    The d.c. component

    dcTt

    kddc eIIti/

    00

    " )sin(2)( =

    The peak value

    )2()2(2)2(

    T

    i

    T

    I

    T

    ii dcackp +==

    for 60 Hz system

    msT

    33.82*60

    1000

    2==

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    Effects of non-active components connected in series with Generators

    Impedance changes

    [ ] 2/12"2" )()( XXRRZ dae +++=

    [ ]2/12'2'

    )()( XXRRZ dae +++=

    Time-constant changes

    [ ] "'"2"'2"2

    "

    ))(()(

    )()(

    ddda

    ddda

    eXXXXXRR

    TXXXRRT

    ++++

    +++=

    [ ] ''2'2'2

    '

    ))(()(

    )()(

    ddda

    ddda

    eXXXXXRR

    TXXXRRT

    ++++

    +++=

    a

    adc

    dce

    RR

    fRXT

    T +

    +

    = 1

    2

    Motors

    General motor parameter

    )()( statorRrotorRR SRM +=

    )()(" statorXrotorXX SRM +=

    Rr

    SR

    MR

    XXT

    +=

    "

    Sr

    SR

    dcMR

    XXT

    +=

    General data for large motors ( > 100 kW)

    ..16.0" upZM =

    ..15.0" upXM =

    ..034.0 upRS=

    ..021.0 upRR=

    msTmsTat dcMM 73.1167.18Hz,60"

    ==

    msTmsTat dcMM 08.144.22Hz,50"

    ==

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    General data for small motors

    ..2.0" upZM =

    ..188.0

    "

    upXM=

    ..043.0 upRS=

    ..027.0 upRR =

    msTmsTat dcMM 73.1167.18Hz,60"

    ==

    msTmsTat dcMM 08.144.22Hz,50"

    ==

    Three-phase short-circuit current calculation

    The upper envelope of the maximum values of the three-phase short-circuit current of anasynchronous motor can be calculated as

    )()(2)( titIti dcMacMpM +=

    The a.c. component

    "/")( M

    Tt

    MacM eItI =

    22

    "

    "

    "

    "

    MM

    M

    M

    MM

    XRE

    ZEI

    +==

    ='"

    ME rMMMrM IR

    U+cos

    32

    + rMMMrM IX

    U 'sin3

    + 2

    The d.c. component

    dcMTtMrMMdcM eIIti

    /" )sin(2)( =

    The peak value

    )2

    ()2

    (2)2

    ( T

    iT

    IT

    ii dcMacMkp +==

    for 60 Hz system at cycle

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    msT

    33.82*60

    1000

    2==

    Effects of non-active components connected in series Motors

    Impedance Changes

    RRRR SRMe ++=

    XXXX SRMe ++="

    Time-constant changes

    Rr

    Me

    MeR

    XT

    ""

    =

    )(

    "

    RR

    XT

    Sr

    Me

    dcMe+

    =

    Equivalent generator

    *

    /

    *

    '

    *

    /'

    *

    "

    **

    '*

    "* )()()( k

    TtTt

    ac IeIIeIItI dd ++=

    *

    /

    *

    /

    **

    '*

    "*)( k

    TtTt

    ac IeNeMtI dd ++=

    */"

    ** 2)( dcTt

    dcM eItI =

    where we defined the following variables,nn

    "

    *I = +"

    kdiI"

    MjIii

    n

    '

    *I ='

    kdiI

    i

    n

    *kI = kdiI

    i

    )( '*"

    ** IIM =

    )( *'

    ** kIIN =

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    Equivalent generator time constant

    For generator:

    '/'"""

    )()( kdTt

    kdkd IeIItK d +=

    For motor:

    "/"" )( MTt

    MeItK

    =

    Thus,n n

    = +*" )(tK )(" tKi

    MTt

    jMeI"/"

    i i

    *

    '

    **

    ""*

    )(ln

    )(

    M

    ItKttT

    x

    xxd

    =

    *

    *

    /

    **

    '

    *)()(

    ln

    )( "*

    N

    IeMtI

    ttT

    k

    Tt

    xac

    xxd

    dx +

    =

    "

    *

    **

    2

    )(ln

    )(

    I

    ti

    ttT

    xdc

    xxdc

    =

    Equivalent generator impedance

    "

    *

    0"

    *3I

    UZ = ,

    '

    *

    0'

    *3I

    UZ = ,

    *

    0*

    3I

    UZ =

    )()()( "** 3 tXtctR = , )(2

    1)(

    *3 tfT

    tcdc

    =

    2

    3

    "

    *"

    *1)( c

    Z

    tX +=

    2

    *

    2'

    *

    '

    * )( RZtX =

    2

    *

    2

    ** )( RZtX =

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    Effects of non-active components connected in series with Equivalent Generators

    Impedance changes

    [ ] 2/12"2" )()( XXRRZ dae +++=

    [ ]2/12'2'

    )()( XXRRZ dae +++=

    [ ] 2/122' )()( XXRRZ dae +++=

    Time-constant changes

    [ ] "'"2"'2"2

    "

    ))(()(

    )()(

    ddda

    ddda

    eXXXXXRR

    TXXXRRT

    ++++

    +++=

    [ ] ''2

    '2'2

    '

    ))(()(

    )()(

    ddda

    ddda

    e XXXXXRR

    TXXXRRT

    ++++

    +++=

    a

    adc

    dce

    RR

    fRXT

    T+

    +

    =1

    2

    Three-phase short-circuit current calculation

    The upper envelope of the maximum values of the three-phase short-circuit current of an

    equivalent generator can be calculated as

    )()(2)( titIti dcack +=

    The a.c. component

    e

    kd

    e

    kd

    e

    kdZ

    UI

    Z

    UI

    Z

    UI 0

    '

    0'

    "

    0" ,, ====

    kd

    Tt

    kdkd

    Tt

    kdkdac IeIIeIItI dd ++=

    '" /'/'" )()()(

    The d.c. component

    dcTt

    kddc eIti/" )(2)( =

    Equivalent motor

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    "*/"

    **)( MTt

    MacM eItI =

    */"

    ** 2)( dcMTt

    MdcM eItI

    =

    where we defined the following variables,

    =n

    j

    MjM II""

    *

    Equivalent motor time constant

    ="/"" )( MTtMM eItK

    = dcMTt

    MdcM eItK/"2)(

    "

    *

    "

    "

    *)(

    ln

    )(

    M

    xM

    xxM

    I

    tKttT =

    "

    *

    *

    2

    )(ln

    )(

    M

    xdcM

    xxdc

    I

    tK

    ttT

    =

    Equivalent motor impedance

    )()( " *1* tXctR MR = , )()()("

    *2* tXtctR MS =

    )(2

    1)(

    "

    *

    1tfT

    tcM

    = ,)(2

    1)(

    *

    2tfT

    tcdcM

    =

    "

    *

    0"

    *3 M

    MI

    UZ = or

    2"

    *

    2

    **

    "

    * )( MSRM XRRZ ++=

    2

    21

    "

    *"

    *

    ))()((1)(

    tctc

    Z

    tX M

    M

    ++=

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    Effects of non-active components connected in series Equivalent Motors

    Impedance Changes

    RRRR SRMe ++=

    XXXX SRMe ++="

    Time-constant changes

    Rr

    Me

    MeR

    XT

    "

    "=

    )(

    "

    RR

    XT

    Sr

    Me

    dcMe+

    =

    Three-phase short-circuit current calculationThe upper envelope of the maximum values of the three-phase short-circuit current of an

    equivalent asynchronous motor can be calculated as

    )()(2)( titIti dcMacMM +=

    The a.c. component

    "

    0"

    e

    kdZ

    UI =

    "/")( dTt

    kdac eItI =

    The d.c. component

    dcTt

    kddc eIti/" )(2)(

    =

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    IEC_61363 FAULT Study IEC_FAULT 17

    1.3 PTW Applied Methodology

    PTW applies the methodology described in Section 1.2. Section 1.3 describes how to run

    the IEC_363 Study, including explanations of the various options associated with the

    Study.

    1.3.1 Before Running the IEC 61363 Fault StudyBefore running the IEC 61363 Fault Study, you must:

    Define the system topology and connections.

    Define feeder and transformer sizes.

    Define fault contribution data.

    1.3.2 Running the IEC61363 Fault StudyYou can run the Study from any screen in PTW, and it always runs on the active project.

    To run the IEC 61363 Study

    1. From the Run menu, choose Analysis.

    2. Select the check box next to Short Circuit and choose the IEC 61363 option button.

    3. To change the Study options, choose the Setup button.

    4. Choose the OK button to return to the Study dialog box, and choose the Run button.

    The Short Circuit Study runs, writes the results to the database, and creates a report.

    1.3.3 IEC 61363 Study OptionsThe IEC_FAULT Study dialog box lets you select options for running the Study.

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    Following is a list of the available Study options.

    Report and Study Options

    These boxes allow you to customize the breadth of the Study and its Report. You can

    choose between a summary report, standard report or a detailed report

    Faulted Buses: All or SelectedYou can report a fault at a single bus, a group of buses or all buses. If a fault is to be

    reported at a single bus or selected group of buses, then the faulted bus(es) must be

    specified using the Select button. The default is to report the fault current at all buses.

    System Modeling

    These options further customize the Study.

    System Frequency

    The system frequency must be defined for the time-dependent calculations. The

    system frequency is set in the Project>Options>Application menu.

    Model Transformer Tap

    You may model the transformer taps by selecting this check box.

    Time Varying Setup

    The time varying setup allows you to specify times to report Iac and Idc time-dependent

    short circuit currents.

    1.3.4 Component Modeling

    Fault Contribution Data

    Contribution data must be defined for synchronous generators, synchronous motors, and

    asynchronous motors.

    Synchronous Generators and Motors

    Synchronous generator and motor short circuit current contributions are defined in the

    Component Editor as shown in the following figures:

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    ANSI Contribution Format

    IEC Contribution Format

    The IEC 61363 calculations requires entry of the following values: Xd, Xd, Xd, Ra,

    Td, Td and Tdc. For definitions of these values refer to section 1.2.2. Since the IEC

    61363 calculations are for 3-phase faults only, the negative sequence, zero sequence and

    neutral impedance values are not used. However values for these fields are still required

    since the IEC60909, ANSI and Comprehensive fault calculations use them.

    PTW calculates the machine kVA and voltage base using the data you enter in the first

    subview of the Component Editor. The motor rated size is in mechanical units of work(output) when entered as horsepower, but in equivalent electrical units of work (input)

    when entered as electrical quantities of kVA, MVA or kW. Motor efficiency is used to

    convert horsepower to electrical units of work, and power factor is used to convert kW to

    kVA. If the rated kVA base in the IEC Contribution subview is zero, then PTW calculates

    the equivalent kVA base from the machine rated size shown in the first subview of the

    Component Editor. If the rated kVA base is not zero, PTW will not change it, even if you

    enter a revised rated size in the motors first subview. Also, if the rated voltage is not zero,

    PTW will not change it. Therefore, you may need to modify the rated machine kVA and

    kVA base together; if you do not modify them together, the kVA base will remain

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    unchanged, even if you change the rated size on the first subview of the Component

    Editor.

    In order to fully model a synchronous machine, the rated size of the machine must be

    defined, along with the power factor. Motors can be defined in the Component Editor as

    either a single motor (the default) or as multiple motors. PTW will calculate the power for

    multiple motors modeled at the bus.

    Asynchronous Induction Motors

    Asynchronous motor short circuit currents should be modeled in IEC 61363 calculations.

    The Component Editor ANSI and IEC contribution data boxes are shown in the following

    figures:

    ANSI Format

    IEC Format

    The fields added specifically for the IEC 61363 calculations are the ratio of Stator

    Resistance to Rotor Resistance, Td, and Tdc. Either entry format can be used.

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    IEC_61363 FAULT Study IEC_FAULT 21

    The motor rated size is in mechanical units of work (output) when entered as horsepower,

    but is in equivalent electrical units of work (input) when entered as electrical quantities of

    kVA, MVA or kW. Motor efficiency is used to convert horsepower to electrical units of

    work, and power factor is used to convert kW to kVA. If the rated kVA base is zero, then

    PTW calculates the equivalent kVA base using the machine rated size as defined in the

    first subview of the Component Editor. The number of pole pairs, combined with the rated

    kW of asynchronous machines, is used to calculate the breaking current duty. If multiplemotors are modeled in a single motor object, PTW will model the MW/pp of each of the

    individual motors that comprise the group. Asynchronous motors are modeled as delta-

    connected. If specific motor data is not available, the following typical data can be used

    for the IEC 61363 calculations:

    Large motors ( > 100 kW)

    ..16.0" upZM =

    ..15.0"

    upXM =

    ..034.0 upRS=

    ..021.0 upRR =

    msTmsTat dcMM 73.1167.18Hz,60"

    ==

    msTmsTat dcMM 08.144.22Hz,50"

    ==

    Small motors (

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    Transformers also are modeled with a positive sequence impedance value. Zero sequence

    impedance values are not used in the IEC 61363 calculations and therefore transformer

    earthing impedance is also not used.

    Transformer taps may be modeled. A negative primary tap raises the secondary voltage.

    Taps will only be considered if the IEC 61363 Study Setup dialog box is set to model

    them. The driving point voltages are defined by the generators and are not modified by thetransformer tap settings.

    Transformer off-nominal voltage ratios, as compared to the primary and secondary bus

    system nominal voltages, are modeled when the Model Transformer Taps check box is

    selected in the Study setup dialog box. Essentially, PTW will create a fictitious primary

    and/or secondary tap to ensure that the voltage ratios are properly matched.

    1.3.5 Error MessagesPTW examines the entered data for the IEC 61363 Study. If PTW finds missing or

    incomplete information, it sends an error message to the Study Message dialog box. The

    Study Messages dialog box will report both fatal and warning messages. The Study will

    attempt to run to completion even if fatal errors are detected, in order to identify any other

    errors. The error messages are shared between all fault studies even though each has

    slightly different data requirements.

    A somewhat common error is:

    The calculated zero sequence impedance is negative.

    It involves the entry of single-line-to-easrth short circuit contribution data. PTW uses the

    three-phase fault data and the single-line-to-earth fault data to calculate the positive-,

    negative- and zero-sequence impedances from the following per-unit equations:

    Z Z

    Z1.0

    I

    I3 1.0

    Z Z Z

    Z3

    IZ Z

    1 2

    1f

    f1 2 0

    0f

    1 2

    3

    sle

    sle

    =

    =

    =

    + +

    =

    b g

    b g

    Utilities often report available single-line-to-earth fault duties on an equivalent three-

    phase rating apparent power basis, using the equation:

    kVA 3 I kV3 fsle= LL

    However, the actual apparent power of a single-line-to-ground fault is:

    kVA = IkV

    31 fsle

    where

    kV line-to-line voltage.

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    You cannot use the three-phase equivalent rating of a single-line-to-ground short circuit

    contribution. If you do, PTW may attempt to calculate the zero-sequence impedance as a

    negative value. The actual apparent power to be entered into PTW is the utility equivalent

    single-line-to-earth duty divided by three. Enter the single-line-to-ground fault current

    X/R ratio, not the zero sequence impedance X/R ratio.

    1.3.6 ReportsFor each fault location, IEC_363 reports:

    Iac at 1/2 Cycle, 3 Cycles, 5 Cycles, and one user-defined time, T4

    Idc at 1/2 Cycle, 3 Cycles, 5 Cycles, and one user-defined time, T4

    Iac for each branch and source feeding the fault at 1/2 Cycle, 3 Cycles, 5 Cycles, and

    one user-defined time, T4

    Idc for each branch and source feeding the fault at 1/2 Cycle, 3 Cycles, 5 Cycles, and

    one user-defined time, T4

    Ipeak for each bus and branch

    *FAULT BUS: B1Voltage: 4.200 kV Ipeak: 38583.56 A x(peak factor): 1.615

    TIME (Cycles) 0.0 0.5 3.0 5.0 12.5================================================================================Iac(A) 16893.27 14520.23 9684.34 8743.52 7935.77Idc(A) 22907.14 18048.85 9065.28 6133.30 1573.11

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    1.4 Application Example

    1. 4. 1 Sample Project in IEC 61363 Standard

    The following example was included in the IEC 61363 1996 Standard:

    B1

    4200 V

    T2

    S 2000.0 kVAR 1.150 %X 6.400 %

    T4

    S 2500.0 kVAR 1.050 %X 6.410 %

    B5

    600 V

    B2

    600 V

    MB4/5

    2000.0 kW (Output)X"d 0.1880 puTd" 18.67 msTdc 11.73 msRs/Rr 1.5926

    M2

    2000.0 kW (Output)X"d 0.1500 puTd" 18.67 msTdc 11.73 ms

    Rs/Rr 1.6190

    T7

    S 250.0 kVAR 1.780 %X 6.770 %

    B7120 V

    B2BEC

    46.0 MetersR 0.164 Ohms/kmX 0.096 Ohms/km

    B2B3C

    30.0 MetersR 0.069 Ohms/kmX 0.092 Ohms/km

    BE

    600 V

    B3

    600 V

    E1

    500 kWX"d 0.12 puX'd 0.18 puXd 2.60 puRa 0.01 puTd" 20.00 msTd' 320.00 msTdc 64.00 ms

    G4

    2000 kWX"d 0.17 puX'd 0.29 puXd 2.75 puRa 0.01 puTd" 26.00 msTd' 420.00 msTdc 93.00 ms

    G1 3500 kWX"d 0.17 puX'd 0.29 puXd 2.75 puRa 0.01 puTd" 26.00 msTd' 420.00 msTdc 93.00 ms

    G2 3500 kWX"d 0.17 puX'd 0.29 puXd 2.75 puRa 0.01 puTd" 26.00 msTd' 420.00 msTdc 93.00 ms

    G3 3500 kWX"d 0.17 puX'd 0.29 puXd 2.75 puRa 0.01 puTd" 26.00 msTd' 420.00 msTdc 93.00 ms

    T2C

    10.0 MetersR 0.125 Ohms/kmX 0.098 Ohms/km

    T2B5C

    18.0 MetersR 0.069 Ohms/kmX 0.092 Ohms/km

    T4C

    10.0 MetersR 0.095 Ohms/kmX 0.095 Ohms/km

    T4B2C

    10.0 MetersR 0.069 Ohms/kmX 0.092 Ohms/km

    G4C

    11.0 MetersR 0.069 Ohms/km

    X 0.092 Ohms/k

    E1C 10.0 MetersR 0.110 Ohms/km

    X 0.095 Ohms/km

    MB2/3

    1700.0 kW (Output)X"d 0.1880 puTd" 18.67 msTdc 11.73 msRs/Rr 1.5926

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    IEC_61363 FAULT Study IEC_FAULT 25

    A portion of the output report is shown:

    *FAULT BUS: B1Voltage: 4.200 kV Ipeak: 38406.35 A x(peak factor): 1.616

    TIME (Cycles) 0.0 0.5 3.0 5.0 12.5================================================================================Iac(A) 16806.57 14453.94 9663.52 8732.21 7930.09

    Idc(A) 22784.53 17965.39 9036.90 6119.38 1571.28

    TIME-DEPENDENT SHORT-CIRCUIT CURRENTS AT THE MAJOR POINTS:

    Bus Name:B1 Voltage: 4.200 kVTIME(Cycles) 0.0 0.5 3.0 5.0 12.5================================================================================- M2 Ipeak: 3127.69 A.Iac(A) 1884.71 1206.14 129.47 21.72 0.03Idc(A) 2893.48 1421.95 40.76 2.38 0.00

    - G1 Ipeak: 9382.70 A.Iac(A) 3838.60 3454.88 2608.89 2419.96 2221.24Idc(A) 4918.30 4496.76 2872.92 2007.53 523.52

    - G2 Ipeak: 9382.70 A.Iac(A) 3838.60 3454.88 2608.89 2419.96 2221.24Idc(A) 4918.30 4496.76 2872.92 2007.53 523.52

    - G3 Ipeak: 9382.70 A.Iac(A) 3838.60 3454.88 2608.89 2419.96 2221.24Idc(A) 4918.30 4496.76 2872.92 2007.53 523.52

    - MB4/5 (Eq. Motor) Ipeak: 2004.50 A.Iac(A) 1047.51 775.94 173.05 52.10 0.58Idc(A) 1800.69 907.16 29.44 1.90 0.00

    - B2 (Eq. Gen.) Ipeak: 5126.06 A.Iac(A) 2358.54 2107.21 1534.33 1398.52 1265.76Idc(A) 3335.47 2146.01 347.95 92.52 0.72

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    Datablock results for the same faulted bus are displayed on the following one-line:

    B1

    AC (0.5cy) 14520 AAC (3cy) 9684 ADC (0.5cy) 18049 ADC (3cy) 9065 AIp 38584 AT2

    S

    T4

    S

    B5

    B2

    MB4/5

    M2

    AC (0.5cy) 1206 AAC (3cy) 129 ADC (0.5cy) 1422 ADC (3cy) 41 AIp 3128 A

    T7

    S

    B7

    B2BEC B2B3C

    BE B3

    E1 G4

    G1

    AC (T0) 3842 ADC (T0) 4924 AIp 9392 A

    G2

    AC (T0) 3842 ADC (T0) 4924 AIp 9392 A

    G3

    AC (T0) 3842 ADC (T0) 4924 AIp 9392 A

    T2C

    AC (0.5cy) 831 AAC (3cy) 185 AIp 2136 A

    T2B5C

    T4C

    AC (0.5cy) 2108 AAC (3cy) 1535 AIp 5143 A

    T4B2C

    G4CE1C

    MB2/3

    Note that the contributions from MB4/5 Equivalent and Equivalent Generator EG are

    slightly different in PTW than the hand calculation example shown in the IEC 61363

    standard. These slight differences are due to neglecting motor pre-load condition in PTW

    and inconsistent rounding in the hand calculation. The contributions from G1, G2, G3

    and M2 match as expected.