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    Power Transmission and Distribution

    Energy Automation7SD5 / 7SD61 Differential Algorithm and Principle

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    Principle of the Differential Protection Basics

    Definition of the differential current:

    N

    i

    iDiff II0

    The differential current is the amplitude of the complex summation of all

    currents (phasors of the fundamental frequency component) from all ends of agiven line.

    Station A Station B

    SDSD

    IA

    IB

    Protection DataInterface

    (PDI)

    Protection Data

    Interface(PDI)

    IA

    =A e-j(t+)

    IB=B e-j(t+)

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    Principle of the Differential Protection Basics

    00

    N

    i

    iDiff II

    C

    N

    iiDiff III 0

    At an ideal healthy line the

    differential current is zero.

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    IA

    =A e-j(t+)

    IB=B e-j(t+)

    On a real and healthy line the

    differential current is equal to the

    capacitive load current of the line (IC).

    32 | LLBC

    UlCfI C`B = neutral line capacity [F/km]

    l = line length [km]

    f = signal frequency [Hz]

    ULL = Line-Line voltage [V]

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    Principle of the Differential Protection Basics

    N

    i

    istra II0

    intReAt a classical differential relay therestraint current is calculated as :

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    With the differential and the

    restraint current and the tripping

    characteristic the relay can make a

    trip decision, but..

    |IA

    |=A |IB|=B

    CAUTION:

    The 7SD5 / 7SD61 is different !

    trip

    area

    restraint

    area

    IDiff

    IRestraint

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    Principle of the Differential Protection Tripping

    The 7SD5 / 7SD610 has another tripping characteristic:

    if IDiff> IRest then TRIP !!!Where IRest = P-IDiff>+ IP-IDiff>= Parameter 1210

    Ii = ICT-Err.+ ISignal-Err+ISync-ErrRemark:IRestraint was replaced by IRest just to have adifferent name

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    N

    i

    iII0

    trip

    area

    restraint

    area

    IDiff

    for

    bidd

    en

    area

    P-IDiff>

    IRest

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    Principle of the Differential Protection I-Phasor

    The I-Phasor can be drawn as a normal phasor in acomplex area with a circle at the end. The circle with theradius I is representing all errors of the phasor.

    The I is the summation of:Ii = ICT-Err.+ ISignal-Err.+ISync-Err.

    WhereICT-Err. = CT - ErrorsISignal-Err = Error due to signal distortionISync-Err = Synchronization Errors

    Im { I }

    Re { I }

    I =A e-j(t+)

    I

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    Principle of the Differential Protection I-PhasorStation A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    Both relays exchange theI-Phasor via the ProtectionData Interface (PDI). Each relaycombines the phasors(local and remote).IDiff = IA + IB (summation of 2 complex values)I = IA

    + IB

    (simple summation of two values)The summation is done for all3 phases separately.The differential protection in the7SD is phase segregative!

    Im { I }

    Re { I }

    IA

    IA

    =A e-j(t+)

    IB

    =B e-j(t+)I

    B

    IA

    IB

    I IAI

    B

    IDiff

    = IA

    + IB

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    Principle of the Differential Protection Parameter P-IDIFF>

    How to see the different components which lead to the IRestIRest = P-IDiff>+IP-IDiff>= Parameter 1210

    The Parameter P-IDiff> (1210) can directly be seen in the

    fault record.

    IA = 0 at both ends

    (IRest) iS1 IDiff>

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    Principle of the Differential Protection Parameter P-IDIFF>

    How to see the different components which lead to the IRestIRest = P-IDiff>+IP-IDiff>Switch On= Parameter 1213If a Switch On is recognized by the relay the ParameterP-IDiff>-Switch-On (1213) becomes active for the given timeparameterized in parameter 1132A.

    P1213P1210

    P1132A

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    Principle of the Differential Protection CT-Errors

    How to see the different components which lead to the IRestIRest = P-IDiff>+I ; I = ICT-Errors + ISignal-Errors + ISync-ErrorsCT Errors:The figure below shows a real CT error curve (blue) andone possibility of the approximation of this curve (red)

    real CT error

    curve at ratedburden

    approximation of

    the CT error curve

    ICT[A]

    ICT

    [A]

    IN-Sec

    kscc

    IN-Sec

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    Principle of the Differential Protection CT-Errors

    How to see the different components which leads to the IRestIRest = P-IDiff>+I ; I = ICT-Errors + ISignal-Errors + ISync-ErrorsCT Errors:The CT-Errors are represented by 3 parameters

    CT[%]

    ICT

    /IN-Relay-sec

    P253

    P254

    P251

    CT

    [A]

    IRelay-sec

    [A]IN-Relay-sec

    *P251

    Slope P253

    Slope P254

    The parameters 253 and 254 are defining two slopes. The

    parameter 251 defines the switching over between the two

    slopes.

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    Principle of the Differential Protection CT-Errors

    The CT Errors can also be seen in the fault record at the

    restraint current (IS).Example:Parameter 251 : K_ALF/K_ALF_N = 1

    Parameter 253 : E% ALF/ALF_N = 5%

    Parameter 254 : E% K_ALF_N = 10%

    Current thru the relay 0.5A and 1.5A secondary (P-IDiff>= 0.3 A)

    312 mA+5%0,5A=336 mA312 mA+10%1,5A=462 mA

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    Principle of the Differential Protection Signal-Errors

    How to see the different components which lead to the IRestIRest = P-IDiff>+I ; I = ICT-Errors + ISignal-Errors + ISync-Errors

    __measured signal

    __phasor calc. out of the measured signal

    deviation between the measured signal and the calculated phasor

    Principle:The 7SD measures a current signal i(t) (red curve). Out of this signal the7SD calculates the phasor from the fundamental frequency componentI = A e-j(t+) (blue curve) and compares both signals. The deviationbetween both curves (green area) is a criteria for the signal distortion(Signal Error).Important: The restraining against the signal disturbance has NO

    parameters. It is an adaptive measurement.

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    Principle of the Differential Protection Signal-Errors

    The additional restraint due to the signal disturbance can

    also be seen in the fault record at the restraint current(IRest ).Example:1st violet graph : sine ordinary undisturbed current.1st green graph : disturbed current (e.g. due to CT Saturation).2nd violet graph : only restraining due to CT-Errors.2nd green graph : restraining due to CT Errors plus restraining due tosignal distortion.

    Additional restraining due tosignal disturbance

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    Principle of the Differential Protection Sync-Errors

    To get a better understanding why the synchronization

    error is important it is useful to understand:

    what is the root cause of this error,

    how the synchronization works,

    why the synchronization is needed and

    what are the side effects if the

    synchronization fails

    the use of the GPS

    How to see the different components which lead to the IRestIRest = P-IDiff>+I ; I = ICT-Errors + ISignal-Errors + ISync-Errors

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    Principle of the Differential Protection Sync-Errors

    Station A Station B

    SDSD

    IA

    IB

    Protection DataInterface

    (PDI)

    Protection Data

    Interface(PDI)T

    A->BT

    B->A

    Com-Network

    Synchronization errors onlyappear if the PDI of the 7SD

    operates against a telecommunication network.

    The reason for the synchronization error is an asymmetrical

    transmission time, i.e. the transmission time of a telegram

    from station A to station B (TA->B) is not the same as thetransmission time of a telegram from station B to station A

    (TB->A). TA->B is unequal to TB->A .

    Better: |TA->B - TB->A| > with < 50 s; measurement accuracy of the relay

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    Principle of the Differential Protection Sync-Errors

    How the synchronization works:

    The synchronization of the 7SD is based on a simple principle

    Pilot example:

    A pilot starts his flight from Frankfurt to New York. While taking off he looks at the airport

    clock and he notes down the local time. Landing in New York he looks at the airport clock

    and he also notes down the local time.

    After a few hours he starts his flight back to Frankfurt .During starting in New York and landing in Frankfurt he looks at the airport clock and he

    notes down both local times.

    Assuming that both flights have taken the same time it is possible to calculate the flight time

    and the time zone difference between Frankfurt and New York

    Takeoff Frankfurt : 6:00 Landing New York: 7:00

    Takeoff New York: 10:00 Landing Frankfurt : 23:00

    Time zone difference : ((6:00 7:00) + (23:00 10:00)) /2 = 6 H

    Flight time : ((7:00 6:00) + (23:00 - 10:00))/ 2 = 7 H

    Compared to the 7SD devices:

    Time zone difference

    DTO : Device Time Offset, difference between 2 local Device Time Bases (TB)

    Flight time

    TD : Transmission Delay = (TAB + TBA)/2

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    Principle of the Differential Protection Sync-Errors

    DTO

    TD

    DTO

    TDDevice at

    Station A

    Device at

    Station B

    send

    receive

    A1 A2 A3

    B1 B2 B3

    B1 B2 B3

    send

    receive A1 A2 A3

    TA->B T

    B->A

    A4

    A4

    B4

    B4

    Sync. Function

    tAA1S

    (tAA1S,

    tAB1R

    )

    tAB1R

    (tAA1S,

    tAB1R

    )

    (tBA1R,

    tBB1S

    )

    (tBA1R,

    tBB1S

    )

    Sync. FunctiontBB1S

    tBA1R

    tB

    tA

    Functional overview of the synchronization in the 7SD

    All timestamps are taken at the receiving and transmitting of thelast bit of a telegram

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    Principle of the Differential Protection Sync-Errors

    Why synchronization is needed:

    Two devices in StationA and B are sampling asynchronously thesame signal. Out of the sampled signal both devices are calculating

    there phasors and the I with the different window times (TWindowA andTWindowB). The time difference between the windows is tWindow .

    SD

    TWindow A

    B tWindow

    A

    SD

    StationA Station B

    i(t)

    =A sin(t+)

    i

    t

    TWindow B

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    Principle of the Differential Protection Sync-Errors

    After the computation of the phasors the devices exchange their

    phasors via the PDI. Station B receives the phasor from stationA.

    Before station B can compute the differential current it has to translate

    the time base from stationA into its own time base and the device has

    to rotate the phasor to eliminate the window time difference tWindow .

    But what happensto the ???

    Phasor received

    in B from A in

    time base from A

    Phasor received

    in B from A in

    time base from B

    Shifting angle to eliminate

    the window difference (t)

    shift

    = 2fsignal

    t (rad)

    Im { I }

    Re { I }

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    Principle of the Differential Protection Sync-Errors

    The handling of the I is a little more difficult. The additional error due

    to the synchronization is shift|IA|. Where in shift the most importantcomponents are t and fsignal.

    Phasor received

    in B from A in

    time base from APhasor received

    in B from A intime base from B

    shift

    = 2fsignal

    t (rad)

    Im { I }

    Re { I }

    IAin Time of A

    IA

    in Time of B =IA

    in Time of A+shift

    *|IA

    |

    shift

    = 2fsignal

    t + 2fsignal

    t (rad)

    shift*|IA|

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    Im { I }

    Re { I }

    IA

    in Time of A

    IA

    in Time of B = IA

    in Time of A+shift

    *|IA

    |

    shift

    = 2fsignal

    t + 2fsignal

    t (rad)

    shift

    *|IA

    |

    Principle of the Differential Protection Sync-Errors

    The fsignal is the accuracy how the devise can compute the signalfrequency. Here is the reason why it is useful to connect VTs to device.

    t mainly depends on the parameter 4506A for PDI 1 (4606A for PDI 2).

    The user has to know the max.

    transmission time difference

    (0.250.. 0.500 ms is suitable

    for most SDH/PDH networks).

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    Principle of the Differential Protection Sync-Errors

    Last question is how the user can see the additional ISync-Errordue to

    the parameter 4506A in the device e.g. in the fault record.Example: -- Two 7SD devices station A P4506A = 0.4ms and station B P4506A = 0ms

    -- thru flowing current = 1 A

    -- all other parameters, e.g. IDIFF>; CT error etc. are assumed to be

    identical in both stations.

    Station AStation B

    SDSD

    IA

    =1A

    in Phase AIB=1A

    in Phase A

    Protection DataInterface

    (PDI)

    Protection Data

    Interface

    (PDI)

    Com-Network

    P4506A

    =0msP4506A

    =0.4ms

    P T i i d Di t ib ti

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    Principle of the Differential Protection Sync-Errors

    In the fault record below the additional restraint due to the

    synchronization (parameter 4506A) can be seen.

    126 mA

    additional restraint

    Verification of the measurement:Station A P4506A= 0.4ms and Station B P4506A = 0 shift*|IA| where shift = 2fsignal t + 2fsignal t

    0

    |IA

    | 2fsignal

    t = 1A250Hz0.4ms= 0.1256 A

    P T i i d Di t ib ti

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    Principle of the Differential Protection Sync-Errors

    Side Effects:

    To calculate the differential current you must sum up twophasors (IA and IB). The phasors must have the same

    frequency and the same time. A wrong synchronization (t0)

    leads to a phase shift of the phasor (IB) and in the end to a

    differential current (IDiff) if the phasors are added. If the 7SD

    does not restrain against the sync. errors the relay will trip!

    IA

    =A e-j(t+)

    IB=B e-j(t+)

    IB=B e-j(t+t0)+)

    IDiff

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    Principle of the Differential Protection Sync-Errors

    How to see such effect in the 7SD

    Example:Station A Station B

    SDSD

    IA

    =1A

    in Phase AIB=1A

    in Phase A

    Protection DataInterface

    (PDI)

    Protection DataInterface

    (PDI)

    Com-Network

    P4506A

    =0msP4506A

    =0.4ms

    TA->B

    =0 TB->A

    = 0.7ms

    The result of asymmetrical

    transmission times is shown in the

    vector diagram.

    The reason for the differential current

    is a result of a wrong synchronizationof the device.

    CAUTION: This was a lab test. Donot try this in the real world, because

    you can not distinguish between a

    capacitive load current and a wrong

    synchronization.

    Power Transmission and Distribution

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    Principle of the Differential Protection Sync-Errors

    The use of GPS

    In some telecommunication network where the asymmetrically

    transmission time is not known, extremely high or the variation is

    very high an other additional synchronization method is needed.

    This method is based on an independent external clock sourcewith possibility to generate a pulse at same physical time with a

    micro second accuracy of the e.g. the rising edge of the pulse

    regardless of the position of the clock source.

    One solution such a clock source is a GPS Clock with an 1PPS*

    output. *1PPS one pulse per second

    Station A Station B

    SDSD

    IA

    IB

    Protection DataInterface

    (PDI)

    Protection DataInterface

    (PDI)

    TA->B TB->A

    Com-Network

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    Principle of the Differential Protection Sync-Errors

    The use of GPS

    The sketch above shows the basic hardware set up for the use of

    the GPS-Synchronization.

    One GPS- antenna and clock is needed on every end of the

    installation. The 1 PPS must be connected to the Port A of therelay.

    Station A Station B

    SD

    IA

    IB

    Protection DataInterface

    (PDI)TA->B

    TB->A

    Com-NetworkGPS -

    Clock

    Port A

    1 PPS

    GPS Antenna

    SD

    Protection Data

    Interface

    (PDI)Port A

    GPS -

    Clock

    GPS Antenna

    1 PPS

    Power Transmission and Distribution

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    Principle of the Differential Protection Sync-Errors

    How the synchronization works with GPS:

    Coming back to the pilot example:

    Pilot example:

    A pilot starts his flight from Frankfurt to New York. While taking off he looks at the airport

    clock and he notes down the local time. Landing in New York he looks at the airport clock

    and he also notes down the local time.

    After a few hours he starts his flight back to Frankfurt .During starting in New York and landing in Frankfurt he looks at the airport clock and he

    notes down both local times.

    With the GPS-Synchronization the pilot ring somebody in New York and

    he asks for the local time in New York. With this New York time and his

    local time he able to calculate the time zone difference between

    Frankfurt and New York.

    The 7SD devices are doing also. Each device capture the GPS-Pulse

    and exchange the time stamp over the PDI. With this principle

    asymmetrical transmission times can be eliminated.

    Power Transmission and Distribution

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    Principle of the Differential Protection total summation

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    The figure shows the totalsummation including all

    operations at Side A.

    Lets go thru it in detail:

    Im { I }

    Re { I }

    IA

    IA

    =A e-j(t+)

    IB

    =B e-j(t+)I

    B

    IA

    IB

    I = IA

    + IB

    IDiff

    = IA

    + IB

    IB

    receive

    shift

    Parameter:

    IDIFF>

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    Principle of the Differential Protection total summation

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    Side A calculates its localI-Phasor and receivesthe I-Phasor from side B.

    Im { I }

    Re { I }

    IA

    IA

    =A e-j(t+)

    IB

    IB

    receive

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    Principle of the Differential Protection total summation

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    Side A has to synchronizethe two I-Phasorstherefore it has to shiftthe received I-Phasorfrom side B with the angleshift.

    Im { I }

    Re { I }

    IA

    IA

    =A e-j(t+)

    IB

    =B e-j(t+)I

    B

    IB

    receive

    shift

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    Principle of the Differential Protection total summation

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    After the two I-Phasorsare synchronized theycan be added to acomplex IDiff-Phasor.

    Im { I }

    Re { I }

    IA

    IA

    =A e-j(t+)

    IB

    =B e-j(t+)I

    B

    IDiff

    = IA

    + IB

    IB

    receive

    shift

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    Principle of the Differential Protection total summation

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    To make a trip decisionthe Parameter 1210P-IDIFF> has to be added.

    If the origin is part of thelast circle around theIDiff

    -Phasor the relay isstable.

    If the origin is not part therelay trips.

    Im { I }

    Re { I }

    IA

    IA

    =A e-j(t+)

    IB

    =B e-j(t+)I

    B

    I = IA

    + IB

    IDiff

    = IA

    + IB

    Parameter:

    IDIFF>

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    Principle of the Differential Protection Advantages

    N

    i

    istra II0

    intRe

    Comparing the classical and new

    characteristic of the line differential.

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    The new huge advance of the new differential

    characteristic is that every error is considered

    independently.

    This is an advantage if different CTs are usedin the installation, where one CT may saturate

    earlier than the other (e.g. due to different

    remanence).

    trip

    area

    restraint

    area

    IDiff

    IRestraint

    trip

    area

    restraint

    area

    IDiff

    f o r

    b i d d

    e n

    a r e a

    P-IDiff>

    IRest

    IRest = P-IDiff>+ I

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    Principle of the Differential Protection Advantages

    N

    i

    istra II0

    intRe

    Comparing the classical and new

    characteristic of the line differential.

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    Furthermore the classical characteristic is derived

    from the old mech. relays.

    The initial issue of the second slope was to cover

    CT-saturation. Further investigation and fault

    record from digital relays has shown that CT

    saturation may happened even at currents belowtwo times of the nominal CT current (ext. fault

    condition with large decaying e-component), were

    the second slope do not effect the restraining. To

    overcome this problem the differential protection

    has be de-sensitive under normal operation

    condition with the first slope (so the protectiongets blind for low current internal faults).

    trip

    area

    restraint

    area

    IDiff

    IRestraint

    trip

    area

    restraint

    area

    IDiff

    f o r

    b i d d

    e n

    a r e a

    P-IDiff>

    IRest

    IRest = P-IDiff>+ I

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    Principle of the Differential Protection 3 and more

    Until now the differential protection was only explained at

    two ended line. The question is:How the differential protection operates at a three

    and more ended line.

    Station A Station B

    SD SD

    PDI 1

    Station C

    SD

    PDI 2

    PDI 1PDI 2

    PDI 1

    The figure shows a three ended

    installation in chain topology.

    Every station measure its local

    current, compute the I phosor andtransmits this phasor via the PDI.

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    Principle of the Differential Protection 3 and more

    The important thing happen at station B. Station B receives

    at PDI 2 the I-Phasor from Station A and add its computedlocal I-phasor to this phasor before it sends the partialsummation of both phasor to station C via the PDI 1.Station C receives the partialsummation from station B and cancompute the total differentialand I current.This happen in both directions inparallel, so in the end every relaycan make its own trip decision.

    Station A Station B

    SD SD

    PDI 1

    Station C

    SD

    PDI 2

    PDI 1PDI 2

    PDI 1

    IC

    IC

    IB+I

    C

    IB

    IA

    +IB

    IA

    IA

    IA

    +IB+I

    CI

    A+I

    B+I

    C

    IA

    +IB+I

    C

    If an other station

    is added to the

    constellation, the

    added station only

    do the partial

    summation.

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    Principle of the Differential Protection 3 and more

    The figure shows a 4 ended ring topology. If all other links are

    healthy the connection from station D PDI 1 to station A PDI 2 is in

    hot standby i.e. it is not needed for the differential protection. If one

    of the other links fail the information are rerouted and the link get

    into differential service.

    Station A Station B

    SD SD

    PDI 1

    Station C

    SD

    PDI 2

    PDI 1PDI 2

    PDI 1

    IC

    IB

    IA

    IA

    IA

    +IB+I

    C+I

    C

    SD

    PDI 1 PDI 2

    Station D

    ID

    PDI 2

    IA

    +IB+I

    C+I

    CIA+IB+IC+ID

    IA

    +IB+I

    C+I

    D

    IB+I

    C+I

    DI

    A+I

    B

    IC+I

    DI

    A+I

    B+I

    C

    Hotstandby

    Hotst

    andby

    Hotstandby

    IC

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    Principle of the Differential Protection 3 and more

    The figure below shows the reaction of the 7SD5 is one link fails in

    a 4 ended ring topology.

    The reaction is similar to every ring topology regardless of the

    numbers of ends.

    Station A Station B

    SD SD

    PDI 1

    Station C

    SD

    PDI 2

    PDI 1PDI 2

    PDI 1

    IC

    IB

    IA

    IA

    IA

    +IB+I

    C+I

    C

    SD

    PDI 1 PDI 2

    Station D

    ID

    PDI 2

    IA

    +IB+I

    C+I

    D

    IA

    +IB+I

    C+I

    D

    IA

    +IB+I

    C+I

    D

    IB

    IA

    +IC+I

    DI

    B+I

    CIC

    broken link broken link broken link

    IB+I

    C

    +ID

    IA

    +ID

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    Principle of the Differential Protection 3 and more

    Compared to a 3 ended chain topology the 3 ended ring topology

    works a little bit different. Here all devices talk directly to each

    other and can exchange the I-phasors directly. If one link fails thedevices switch back to a chain topology with the partial summation.

    Station A Station B

    SD SD

    PDI 1

    Station C

    SD

    PDI 2

    PDI 1PDI 2

    PDI 1

    IC

    IC

    IB

    IB

    IB

    IA

    IA

    IA

    +IB+I

    CI

    A+I

    B+I

    C

    IA

    +IB+I

    C

    PDI 2

    IC

    IA

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    Principle of the Differential Protection I-DIFF>

    Right now the first differentialprotection algorithm (I-DIFF>)

    has been explained.

    So it is time to start with the

    second one (I-DIFF>>)

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    trip

    area

    restraint

    area

    IDiff

    for

    bid

    den

    area

    P-IDiff> IRest

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    Principle of the Differential Protection I-DIFF>>

    The second differential protection algorithm (I-DIFF>>) isbased on a charge summation. The principle here is that

    you can apply the 2nd Kirchhoffs Law not only to phasors.

    The 2nd Kirchhoffs Law is also applicable to charges

    (the time integral of the current).

    Both algorithms run absolutely in depended and in parallelin the 7SD. --- Lets see how the second algorithm works:

    Station A Station B

    SDSD

    IA

    IB

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

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    Principle of the Differential Protection I-DIFF>>

    The figure below shows the principle of the charge

    computing. The charge window length is 5ms (integrationwindow). The offset between two windows is 2.5 ms. The

    start and the end time of a window must not be synchronous

    to the samples of the device. In general a charge window

    consist of three sub windows Q1, Q2 and Q3.

    The Q1 is the first

    interpolation

    between the window

    start time and the

    first sample. Q2 is

    the integration of the

    full samples in thewindow and Q3 is

    interpolation from

    the last full sample

    to the window end

    time .

    i(t)

    =A sin(t+)

    t0

    t1

    t2

    t3

    t4

    t5

    t6 t7 t8 t9

    i

    1 sample

    charge integration

    window (5ms)

    2,5mswindow offset

    t10

    t11

    Q3

    Q2

    Q1

    tstart

    tend

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    Principle of the Differential Protection I-DIFF>>

    )()(2

    1

    )(

    )_()1(11

    )0(0

    01

    )0()1(

    )_(

    Startttstart

    tStart

    tt

    Startt

    iittQ

    itttt

    iii

    The interpolation between the start time and the first sample

    is done like:

    t0

    t1

    t2

    Q2

    Q1

    i(t start)

    i(1)

    tstart

    Similar for Q3Q2 is calculate to:

    )5()4()3()2()1(2 22221

    tttttSample iiiiiTQ

    The total charge is the

    summation of all three

    partial charges

    Qtotal=Q1+Q2+Q3

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    Principle of the Differential Protection I-DIFF>>

    N

    i

    iDiff QQ0

    After the computation of the charge the devices exchangetheir charges via the PDI. The differential charge and the

    restraint charge (QDIFF and Q) is calculation in analogy tothe differential current.

    Station A Station B

    SDSD

    IA

    (QA

    )

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    IB

    (QB)

    and

    N

    i

    iQQ0

    But take care the tripping characteristic is different.

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    Principle of the Differential Protection I-DIFF>>

    QQDiff

    The tripping decision of the charge summation is made as

    described in the following formula:

    Station A Station B

    SDSD

    IA

    (QA

    )

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    IB

    (QB)

    Trip if:

    DiffDiff QPQand

    Where Q is the restraint chargeand P-QDiff>> is the Parameter 1233

    trip

    area

    restraint

    area

    QRest

    QDIFF

    P-IDIFF>>

    (P-QDIFF>>

    )

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    Principle of the Differential Protection I-DIFF>>

    How the I-DIFF>> is restraint (Q):The I-DIFF>> is restraint against CT errors andsynchronization errors.For the CT errors only the parameter 254 is relevant.I-DIFF>> was designed to have fast clearance on high current fault thereforeonly the high error is needed.The handling of the synchronization error in I-DIFF>> is equalto the handling of the synchronization error in I-DIFF>.CAUTION: I-DIFF>> block if parameter 4506A (PDI1 and 4606APDI2) exceeds 0.85 ms.

    Station A Station B

    SDSD

    IA

    (QA

    )

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    IB

    (QB)

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    Principle of the Differential Protection I-DIFF>>

    The last question regarding the I-DIFF>> algorithm is:

    Can I-DIFF>> also handle installation with more than 2 ends??

    The answer is : YES

    Station A Station B

    SD SD

    PDI 1

    Station C

    SD

    PDI 2

    PDI 1PDI 2

    PDI 1

    So lets see how this works !

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    Principle of the Differential Protection I-DIFF>>

    The I-DIFF>> algorithm uses the same principle as the I-

    DIFF> algorithm the partial summation.

    The figure below gives an overview how the partial

    summation forI-DIFF>> works.

    Station A Station B

    SD SD

    PDI 1

    Station C

    SD

    PDI 2

    PDI 1PDI 2

    PDI 1

    IC

    QC

    QB+Q

    C

    IB

    QA

    IA

    QA+QB+QC

    PDI 2

    QB+Q

    A

    QA+QB+QC

    QA

    +QB+Q

    C

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    Principle of the Differential Protection I-DIFF>>

    Station A Station B

    SDSD

    IA

    (QA

    )

    Protection Data

    Interface

    (PDI)

    Protection Data

    Interface

    (PDI)

    IB

    (QB)

    High-Speed Charge summation offers high speed tripping

    and a fast decision for internal or external fault condition. Charge summation doesn't suppress DC-components

    and harmonics. (simple integration)

    Therefore recommended setting is > ILoad,max (1.2 - 2 IN).

    Charge summation decides in 5 ms for internal or external

    faults (5 ms window)

    Internal: Immediate trip command (trip time typical 12 ms for2 or 3 end topology) for differential currents IDiff > 1.2 - 2 IN

    External: If IFault > 2.5P-IDiff>> setting: immediate blocking of the

    charge summation. Reason:

    CT-saturation possible. Avoids any risk for stability due to

    differential current from current comparison.

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    Principle of the Differential Protection

    THE END