05 underexcitation protection

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    The year of Profitable Growth

    Global networkof innovation

    UnderexcitationProtection

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    Power Automation 2

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Presenter: Dr. Hans-Joachim Herrmann

    PTD PA13

    Phone +49 911 433 8266E-Mail: [email protected]

    Generator Protection

    Underexcitation Protection

    (Loss of Field protection)

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    Power Automation 3

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Reasons for Underexcitation

    ? Failure of the excitation device

    ? short circuit in the excitation circuit

    ? interruption in the excitation circuit

    ? Maloperation of the automatic voltageregulator

    ? Incorrect handling of the voltage regulator(generator, transformer)

    ? Generator running with capacitive load

    Countermeasure:

    Underexcitation Protectionexcitationdevice

    GS

    3~

    ZLoad

    Note: This protection is also called

    Loss of Field Protection

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    Power Automation 4

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Consequences of Excitation Failures

    Influence Quantities:? type of construction of the generator

    ? design of the excitation

    ? grid conditions

    ? magnitude of delivered active power

    ?

    type of the voltage and power regulator

    Consequences:

    ? rotor acceleration

    ? local overheating in the rotor and stator

    ? over-voltages in the rotor

    ? mechanical shocks onto the foundation? grid starts oscillating

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    Power Automation 5

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Relation of Current and Voltage in a SynchronousGenerator

    machine equation: VP = V - IjX

    cylindrical-rotor machine: X~Xd; VP = V- jXd I(turbo generator)

    salient-pole machine:

    (hydro generator)

    X:=Xq; Xd

    exact: VP = V - j(XdId + XqIq)

    reduced: VP ~ V - jXqI

    ZLVVP

    X I

    Simplified equivalent circuit:

    Vector diagram:

    V

    Iexc

    I

    Im

    Re

    ? = rotor angle? = load angle

    ?

    VpI jX

    ?

    V / jX

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    Power Automation 6

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Possible Design of the Generator Capability Diagram

    Definition:

    +P

    (W)

    +Q

    (Var)

    under excited

    over excited

    +P

    (W)

    +Q

    (Var)

    over

    excitedunder

    excited

    Operating

    area

    Operating

    area

    Static stabilitylimit

    Static

    stabilitylimit

    Preferred design

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    Power Automation 7

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Capability Curve of a Turbo Generator

    type of generator: TLRI 108/46

    nominal apparent power SN = 200 MVAnominal voltage VN = 15.750 kVnominal current IN = 7.331 kAnominal frequency fN = 50.0 Hzpower factor cos ? N = 0.8cold-air temperature Tx = 40.00 C

    MVAr 140 120 MVAr100 80 60 40 20 0 20 40 60 80 100 120 140 160 180

    underexcited overexcited

    Q

    P

    MW

    220

    200

    180

    160

    140

    120

    100

    80

    60

    400,2

    0,4

    0,6

    0,7

    0,

    8

    0,85

    0,

    9

    0,95

    0,97

    5

    0,

    975

    0,95

    0,

    9

    0,2

    0,4

    0,6

    0,7

    0,8

    0,85

    cosphi

    cosp

    hi

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    Power Automation 8

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Load Diagram of a Synchronous Machine (Cylindrical-rotor Machine)

    dynamicstabilitylimit

    steadystatestabilitylimit

    theoreticallylimit

    turbine limit

    stator limit

    rotor limit

    P

    overexcitedunderexcited

    Q

    SN

    VP If

    ? N

    ? N

    N

    d

    2

    N ;'

    SX

    V?? d

    2

    N

    X

    V

    Xd: synchronous reactanceXd: transient reactance

    The generator capability curve describes

    the stability limits of the generator

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    Power Automation 9

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Per Unit Capability Diagram of a Synchronous Generatorin the Case of Undervoltage (V = 0.9 VN)

    In the case of an under-voltage the generator capability curvemoves to right and reduces the stability limits of the generator

    1/xd

    0.81/xd

    0.851 V=1; I=1;

    V=0.9; I=1.11

    Stabilitylimit

    Q [p.u]

    P [p.u]

    overexcitedunderexcited

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    Power Automation 10

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Conclusions for the Protection Design

    A good underexcitation protection should consider both facts(1 and 2)

    1. The generator capability curve describes in theunderexcitation region the stability limit of a generator

    2. In the case of an undervoltage the stability becomesmuch more critical (moves to active power axis)

    The transformation of the generator diagram into the

    admittance diagram is the solution, because:

    ? its direct proportional to the per unit generator diagram

    (only the reactive axis must be multiplied by -1)? the settings can be easy read out from the generator diagram

    ? it considers right the undervoltage behaviour

    A

    B

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    Power Automation 11

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Definitions for Converting the GeneratorDiagram into the Admittance Diagram

    QjPSIVS ???? ?

    BjGYV

    IY ???

    Transformation:

    2222

    *

    V

    Qj-

    V

    P

    V

    Qj-P

    V

    S

    VV

    VIY ???

    ?

    ??

    ?

    ?

    2

    2

    V

    Q-B

    V

    PG

    ?

    ?

    Q

    P+

    +-

    B

    G+

    + -

    Note: In the per unit calculation is VN = 1

    Complex Power: Admittance:

    G: Conductance

    B: Susceptance

    In the per unit

    representation

    the diagrams

    are the same,

    only there is a

    phase shift in

    the reactive

    part of 180

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    Power Automation 12

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    a) Excitation Current (IEXC

    )

    - stabile for over-excitation

    - insecure for under-excitation (IEXC can be smaller than IEXC, N)

    b) Direct Measuring of the Rotor Angle (? )

    -steady stability limit depends on?

    or 2?

    - transversal reactance cannot be neglected with small excitationof

    turbogenerators (Xq is also depending from 2 ? )

    c) Reactive power I-QI>, Impedance I-ZI

    ? Admittance calculation guaranteesa right behaviour, if the voltages

    decreases

    ? 3 independent characteristics and 3

    timer

    ? characteristic 1,2 is adaptated onthe steady state curve;

    ? additional inquiry of the field voltage

    (release a short trip time)

    ? characteristic 3 is adaptated on the

    dynamic stability limit curve

    ? blocking of the protection at V

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    Power Automation 14

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple. Combination of

    ? stator criterion (straight line characteristics)

    ? rotor criterion (DC undervoltage in the excitation circuit)

    Case no. 1: only rotor criterion fulfilled:

    no alarm, no trip

    Case no. 2: only stator criterion fulfilled ( char. 1,2):only alarm, eventually long-time delayed trip (e.g. 10s)

    Case no. 3: rotor and stator criterion fulfilled (char. 1,2):

    alarm and short-time delayed trip (e.g.

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    Power Automation 15

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Conversion of the Reactive Power into 1/xd

    Example: Generator capability diagram (figure 9)

    Generator: SN =200 MVA CT, VT: knV =VN =15,75 kV

    Stability limit: Q =90 MVAr knl = 8000A/1A

    1. Calculation the longitudinal reactance :

    2. Conversion into secondary values :

    3. Setting value for Char. 1:

    ?????

    ?

    ?

    ?

    ?

    ?

    ?

    ?

    2,76Q

    3Q3 N

    2

    2

    N

    d U

    U

    X 2,223N

    Ndd ??? UXx I

    2,38kk

    WpN,GN,

    WpN,GN,

    d

    nUGN,Nsek

    nlNsekGN,

    ddsek ?????? U

    Ux

    U

    Uxx

    I

    I

    I

    I

    ?? 0,421

    dsekx ??? 80, 10,42

    d1x

    1?

    3

    100V/3

    16kV

    2,22Nd ?? Qx S

    or

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    Power Automation 16

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Measuring Algorithm

    1) Filtering of the input values

    2) Calculation of the positive sequence values

    3) Calculation of the complex power

    4) Calculation of the admittance values

    GS3~

    iL1,2,3 uL1,2,37UM6

    Li

    Lv

    ,,, L3L2L1 III

    ,,, L3L2L1 VVV

    1I

    1V

    ,j iLrLL III ??

    ,j iLrLL VVV ??

    1I

    1V

    *IUS ? QjPS ??

    S 21U

    SY ? BjG

    1j

    1 ????

    XRY

    symmetr.

    comp.

    fourierfilter

    (50Hz)

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    Power Automation 17

    Power Transmission and Distribution

    Power AutomationProgress. Itsthatsimple.

    Generator diagram is transferred in the impedance plan (e.g. X=V2/Q).

    (Stability limit is represented as a circular arc.)

    ? characteristic: Offset-MHO

    ? tripping zone inside the circle

    ? characteristic 1, tdelay ? 0...0.3 s (for high

    load generator and field failure)

    ? characteristic 2, tdelay ? 0.5 - 3 s (for lowload generator, section field voltage failure)

    Underexcitation Protection with Criterion ImpedanceI-ZI