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    Current Transformers

    Sreenatha Rao R.S.N.V

    Manager Training

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    > Current Transformers January 20043 3

    Current Transformer Function

    Reduce power system current to lower value formeasurement.

    Insulate secondary circuits from the primary.

    Permit the use of standard current ratings for secondaryequipment.

    REMEMBER :

    The relay performance DEPENDS on the C.T which

    drives it !

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    Instrument Transformer Standards

    IEC IEC 185:1987 CTsIEC 44-6:1992 CTs

    IEC 186:1987 VTs

    EUROPEAN BS 7625 VTs

    BS 7626 CTs

    BS 7628 CT+VT

    BRITISH BS 3938:1973 CTs

    BS 3941:1975 VTs

    AMERICAN ANSI C51.13.1978 CTs and VTs

    CANADIAN CSA CAN3-C13-M83 CTs and VTs

    AUSTRALIAN AS 1675-1986 CTs

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    Polarity

    P2P1

    Is

    S2S1

    Ip

    Inst. Current directions :-

    P1 P2

    S1 S2 Externally

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    Flick Test

    P1

    S1

    +

    V

    -

    S2

    P2

    I

    sIpFWD kick on application,

    REV kick on removal oftest lead.

    Battery (6V) + to P1

    AVO +ve lead to S1

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    Basic Theory

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    Basic Theory (1)

    IP

    IS

    R

    1 Primary TurnN Secondary Turns

    For an ideal transformer :-

    PRIMARY AMPERE TURNS = SECONDARY AMPERE TURNS

    IP = N x IS

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    Basic Theory (2)

    IP

    IS

    RES

    For IS to flow through R there must be some potential -ES = the E.M.F.

    ES = IS x R

    ES is produced by an alternating flux in the core.

    ES ddt

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    Basic Formulae

    Circuit Voltage Required :

    ES = IS (ZB + ZCT + ZL) Volts

    where :-

    IS = Secondary Current of C.T. (Amperes)

    ZB = Connected External Burden (Ohms)

    ZCT = C.T Winding Impedance (Ohms)

    ZL = Lead Loop Resistance (Ohms)

    Require EK > ES

    L R D i

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    Low Reactance Design

    With evenly distributed winding the leakage

    reactance is very low and usually ignored.

    Thus ZCT ~ RCT

    K P i t V lt D fi iti

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    > Current Transformers January 200413 13

    Knee-Point Voltage Definition

    Iek

    +10% Vk

    +50% Iek

    Vk

    Exciting Current (Ie)

    E

    xcitingV

    oltage(V

    S)

    C T E i l t Ci it

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    > Current Transformers January 200414 14

    C.T. Equivalent Circuit

    ZbN

    P1

    ZCT

    S1

    VtZe

    Is

    Ip

    Ip/N Ie

    Es

    Ip = Primary rating of C.T. Ie = Secondary excitation current

    N = C.T. ratio Is = Secondary current

    Zb = Burden of relays in ohms Es = Secondary excitation voltage

    (r+jx) Vt = Secondary terminal voltageZCT = C.T. secondary winding across the C.T. terminals

    impedance in ohms (r+jx)

    Ze = Secondary excitationimpedance in ohms (r+jx)

    Ph Di

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    > Current Transformers January 200415 15

    Phasor Diagram

    IcEp

    Ip/N

    Ie

    IsIe

    Im

    Es

    Ep = Primary voltage Im = Magnetising current

    Es = Secondary voltage Ie = Excitation current

    = Flux Ip = Primary current

    Ic = Iron losses (hysteresis & Is = Secondary currenteddy currents)

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    > Current Transformers January 200416 16

    Saturation

    Steady State Saturation (1)

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    Steady State Saturation (1)

    100A

    100/1

    1A

    E 1 ohm

    E =1V

    100A

    100/1

    1A

    E10ohm E =

    10V

    100A

    100/1

    1A

    E 100ohm

    E =100V

    100A

    100/1

    1A

    E1000ohm

    E = ?

    Steady State Saturation (2)

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    Steady State Saturation (2)

    Time

    +V

    -V

    0VA

    Assume :- Zero residual flux

    Switch on at point A

    Steady State Saturation (3)

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    Steady State Saturation (3)

    Time

    +V

    -V

    0VC

    Assume :- Zero residual flux

    Switch on at point C

    Steady State Saturation (4)

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    Steady State Saturation (4)

    Time

    +V

    -V

    0VB

    Assume :- Zero residual flux

    Switch on at point B

    Steady State Saturation (5)

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    > Current Transformers January 200421 21

    Steady State Saturation (5)

    Mag CoreSaturation

    +V

    -V

    0V

    Mag CoreSaturation

    Time

    Steady State Saturation (6)

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    > Current Transformers January 200422 22

    Steady State Saturation (6)

    Time

    +V

    -V

    0V

    +V

    -V

    0V

    Mag CoreSaturation

    Mag CoreSaturation

    Output lost due tosteady statesaturation

    Actual Output

    Voltage

    ProspectiveOutput Voltage

    Transient Saturation

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    > Current Transformers January 200423 23

    Transient Saturation

    L1R1

    Z1

    i1

    v = VM sin (wt + )

    v = VM sin (wt + )

    TRANSIENTSTATESTEADY

    e.)-(sin-)-(wtsin

    e.)-(sinZ

    V)-(wtsin

    Z

    Vi

    1L/t1R-11

    1L/t1R-

    1

    M

    1

    M1

    +=

    ++=

    =++=

    1

    M1

    1

    11-

    12

    11

    Z

    V

    R

    wLtan

    LwRZ-:where

    =

    =

    +=

    22

    Transient Saturation : Resistive Burden

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    > Current Transformers January 200424 24

    Transient Saturation : Resistive Burden

    FLUX

    CURRENT

    Primary CurrentSecondary Current

    Actual Flux

    Mag Current

    Required Flux

    SAT

    0

    010 20 30 40 50 60 70 80 M

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    > Current Transformers January 200425 25

    CT Types

    Current Transformer Function

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    > Current Transformers January 200426 26

    Two basic groups of C.T.

    Measurement C.T.s

    Limits well defined

    Protection C.T.s

    Operation over wide range of currents

    Note : They have DIFFERENT characteristics

    Measuring C.T.s

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    > Current Transformers January 200427 27

    g

    B

    Protection C.T.

    Measuring C.T.

    H

    Measuring C.T.s Require good accuracy up to

    approx 120% rated current.

    Require low saturation level toprotect instruments, thus use

    nickel iron alloy core with low

    exciting current and knee

    point at low flux density.

    Protection C.T.s

    Accuracy not as important as

    above.

    Require accuracy up to many

    times rated current, thus use

    grain orientated silicon steel

    with high saturation flux

    density.

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    Current Transformer Ratings (1)

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    > Current Transformers January 200429 29

    g ( )

    Rated Burden

    Value of burden upon which accuracy claims are based

    Usually expressed in VA

    Preferred values :-

    2.5, 5, 7.5, 10, 15, 30 VA

    Continuous Rated Current

    Usually rated primary current

    Short Time Rated Current

    Usually specified for 0.5, 1, 2 or 3 secs

    No harmful effects Usually specified with the secondary shorted

    Rated Secondary Current

    Commonly 1, 2 or 5 Amps

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    Choice of Ratio

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    > Current Transformers January 200431 31

    Clearly, the primary rating

    IP normal current in the circuit

    if thermal (continuous) rating is not to be exceeded.

    Secondary rating is usually 1 or 5 Amps (0.5 and 2 Amp are

    also used).

    If secondary wiring route length is greater than 30 metres -1 Amp secondaries are preferable.

    A practical maximum ratio is 3000 / 1.

    If larger primary ratings are required (e.g. for largegenerators), can use 20 Amp secondary together with

    interposing C.T.

    e.g. 5000 / 20 - 20 / 1

    Current Transformer Designation

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    > Current Transformers January 200432 32

    Class P

    Specified in terms of :-

    i) Rated burden

    ii) Class (5P or 10P)

    iii) Accuracy limit factor (A.L.F.)

    Example :-

    15 VA 10P 20

    To convert VA and A.L.F. into useful volts

    Vuseful VA x ALF

    IN

    BS 3938

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    > Current Transformers January 200433 33

    Classes :- 5P, 10P. X

    Designation (Classes 5P, 10P)

    (Rated VA) (Class) (ALF)

    Mult iple of rated current (IN) up to which declared

    accuracy will be maintained with rated burden

    connected.

    5P or 10P.

    Value of burden in VA on which accuracy claims

    are based.

    (Preferred values :- 2.5, 5, 7.5, 10, 15, 30 VA)

    ZB = rated burden in ohms

    = Rated VAIN

    2

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    > Current Transformers January 200434 34

    Interposing CT

    Interposing CT

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    > Current Transformers January 200435 35

    NP NS ZB

    ZCT

    LINE

    CT

    Burden presented to line CT

    = ZCT + ZB x NP2

    NS2

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    Current Transformer Designation

    Current Transformer Designation

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    > Current Transformers January 200438 38

    Class X

    Specified in terms of :-

    i) Rated Primary Current

    i i) Turns Ratio (max. error = 0.25%)

    iii) Knee Point Voltage

    iv) Mag Current (at specified voltage)

    v) Secondary Resistance (at 75C)

    Choice of Current Transformer

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    > Current Transformers January 200439 39

    Instantaneous Overcurrent Relays

    Class P Specif ication

    A.L.F. = 5 usually sufficient

    For high settings (5 - 15 times C.T rating)

    A.L.F. = relay setting

    IDMT Overcurrent Relays

    Generally Class 10P

    Class 5P where grading is critical

    Note : A.L.F. X V.A < 150

    Differential Protection

    Class X Specif ication

    Protection relies on balanced C.T output

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    > Current Transformers January 200440 40

    Selection Example

    Burden on Current Transformers

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    > Current Transformers January 200441 41

    1. Overcurrent : RCT + RL + Rr 2. Earth : RCT + 2RL + 2Rr

    RCT

    RCT

    RCT

    IF

    IFRLRL RLRL

    Rr Rr RrRr

    RCT

    RCT

    RCT

    IF

    IF RLRL RLRL

    Rr Rr RrRr

    Overcurrent Relay VK Check

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    > Current Transformers January 200442 42

    Assume values : If max = 7226 A RCT = 0.26C.T = 1000 / 5 A Rr = 0.02

    7.5 VA 10P 20 RL = 0.15

    Check to see if VK is large enough :

    Required voltage = VS = IF (RCT + Rr + RL)

    = 7226 x 5 (0.26 + 0.02 + 0.15) = 36.13 x 0.43 = 15.54 Volts

    1000

    Current transformer VK approximates to :-

    VK VA x ALF + RCT x IN x ALF

    In

    = 7.5 x 20 + 0.26 x 5 x 20 = 56 Volts

    5

    VK > VS therefore C.T VK is adequate

    Earth Fault Relay VK Check

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    Assume values : As per overcurrent.

    Note For earth fault applications require to be able to pass

    10 x relay setting.

    Check to see if VK is large enough : VK = 56 Volts

    Total load connected = 2RL + RCT + 2Rr= 2 x 0.15 + 0.26 + 2 x 0.02

    Maximum secondary current= 56 = 93.33A

    0.6

    Typical earth fault setting = 30% IN= 1.5A

    Therefore C.T can provide > 60 x setting

    C.T VK is adequate

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    > Current Transformers January 200444 44

    Voltage Transformers

    Voltage Transformers

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    > Current Transformers January 200445 45

    Provides isolation from high voltages

    Must operate in the linear region to prevent

    accuracy problems - Do not over specify VT

    Must be capable of driving the burden, specified by

    relay manufacturer

    Protection class VT wil l suffice

    Typical Working Points on a B-H Curve

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    > Current Transformers January 200446 46

    Flux DensityB

    Magnetising ForceAT/m

    Power Transformers

    Saturation

    V.T.s

    Protection C.T. (at full load)H

    1000 2000 3000

    1.6

    1.0

    0.5

    Tesla

    Types of Voltage Transformers

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    > Current Transformers January 200447 47

    Two main basic types are available:

    Electromechanical VT`s

    Similar to a power transformer

    May not be economical above 132kV

    Capacitor VT`s (CVT)

    Used at high voltages

    Main difference is that CVT has a

    capacitor divider on the front end.

    Electromagnetic Voltage Transformer

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    > Current Transformers January 200448 48

    ZB(burden)

    NP / NS= K

    n

    VP

    RP

    IP

    LP

    LM

    IM IC

    Re VSEP = ES

    Ie

    RS

    IS

    LS

    Basic Circuit of a Capacitor V.T.

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    > Current Transformers January 200449 49

    C1

    C2

    VP

    VC2 Vi

    L

    T

    VSZB

    Ferro-resonance

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    > Current Transformers January 200450 50

    The exciting impedance of auxil iary transformer T and the

    capacitance of the potential divider form a resonant circuit.

    May oscillate at a sub normal frequency

    Resonant frequency close to one-third value of system

    frequency

    Manifests itself as a rise in output voltage, r.m.s. value

    being 25 to 50 per cent above normal value

    Use resistive burden to dampen the effect

    VT Earthing

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    > Current Transformers January 200451 51

    Primary Earthing

    Earth at neutral point

    Required for phase-ground measurement at relay

    Secondary Earthing

    Required for safety

    Earth at neutral point

    No relevance for protection operation

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    VT Connections

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    > Current Transformers January 200453 53

    a b c

    a b cA B C N

    da dn

    a b c n

    V ConnectedBroken Delta

    VT Construction - Residual

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    > Current Transformers January 200454 54

    Used to detect earthfault

    Useful where current operated protection cannot beused

    Connect all secondary windings in series

    Sometimes referred to as `Broken Delta`

    Residual Voltage is 3 times zero sequence voltage

    VT must be 5 Limb or 3 single phase units

    Primary winding must be earthed

    Voltage Factors Vf

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    > Current Transformers January 200455 55

    Vfis the upper limit of operating voltage.

    Important for correct relay operation.

    Earthfaults cause displacement of system neutral,

    particularly in the case of unearthed or impedance

    earthed systems.

    Protection of VTs

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    > Current Transformers January 200456 56

    H.R.C. Fuses on primary side

    Fuses may not have sufficient interrupting capabil ity

    Use MCB

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