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CT Residual Magnetism

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    23 January 2012

    Residual Magnetism

    Will Knapek

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    AGENDA

    > What is Residual Magnetism

    > Ways to Reduce Remanence

    > Determining the residual magnetism in a field test

    > Summary

    Page 2

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    Significance of Residual Magnetism

    It has been said that one really knows very little

    about a problem until it can be reduced to figures.

    One may or may not need to demagnetize, but until

    one actually measures residual levels of

    magnetism, one really doesn’t know where he or

    she is.

    One has not reduced the problem to figures.

    R. B. Annis Instruments, Notes on Demagnetizing

    3

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    Physical Interpretation ofResidual Magnetism

    res

    C    d V t    0

    )()(       

    • When excitation is removed from the CT, some of the magnetic

    domains retain a degree of orientation relative to the magnetic

    field that was applied to the core. This phenomenon is known as

    residual magnetism.

    • Residual magnetism in CTs can be quantitatively described by

    amount of flux stored in the core.

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    Significance of Residual Magnetism

    WHY DO I CARE????

    Bottom Line: If the CT has excessive Residual

    Magnetism, it will saturate sooner than expected.

    5

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    Magnetization Process and Hysteresis

    *Picture is reproduced from K. Demirchyan et.al.,Theoretical Foundations of Electrotechnics

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    Remanence Flux (Residual

    Magnetism)

    © OMICRON Page 7

    *Source: IEEE C37.100-2007

    Remanence is dissipated verylittle under service conditions.

    Demagnetization is required to

    remove the remanence.

    When excitation stops,Flux does not go to zero

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    Residual Remanence and Remanence Factor 

    %100*S 

    resr  M 

    • Saturation flux (Ψs)that peak value of the flux which would exist in a

    core in the transition from the non-saturated to the

    fully saturated condition and deemed to be that

    point on the B-H characteristic for the core

    concerned at which a 10 % increase in B causes H

    to be increased by 50 % (IEC 60044-1, 2.3.6)

    • Remanent flux (Ψr)that value of flux which would remain in the core 3

    min after the interruption of an exciting current of

    sufficient magnitude to induce the saturation flux

    (Ψs) (IEC 60044-1, 2.3.7)• Remanence factor (Kr)the ratio Kr = 100 × Ψr / Ψs, expressed as a

    percentage

    (IEC 60044-1, 2.3.8).

    • Residual remanence (Mr)the ratio Mr = 100 × Ψres / Ψs, expressed as a

    percentage.

    * Picture from CT-Analyzer User Manual

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    Residual Magnetism• Maximal Remanence Flux Ψr-max (physically)

    - the flux which remains after magnetization of the core to total saturation

    and removal of this magnetizing current

    • When is the “total saturation” achieved? How defined? or Specified?

    Page 9

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    Residual Magnetism• Remanence Flux Ψr (IEC 60044-1)

    that value of flux which would remain

    in the core after the interruptionof an exciting current of sufficient magnitude

    to induce the saturation flux Ψs

    Page 10

    • Saturation flux Ψs (IEC 60044-1)

    that peak value of the flux which would exist

    in a core in the transition from the non-saturatedto the fully saturated condition ( Knee point)

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    Residual Magnetism

    Page 11

    Ipn

    Flux density (B)

    Flux intensity (H)

    20 x Ipn

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    Residual Magnetism

    Page 12

    20 x Ipn

    residual magnetism

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    Residual Magnetism

    Page 13

    Ipn

    ~10 x Ipn reserve

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    Residual Magnetism1 Ip`Current of an ideal current transformer 

    2 Is

    Current of a saturated current transformer 

    The difference I= Ip‘-Is is the current floating through the saturated inductance.

    Page 14

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    Residual Magnetism• Impact due to residual remanence with “Over Current Protection” and

    “Distance Protection”

    •   failure to operate

    •   unwanted operation

    Page 15

    Netz 1F2F1

    Schutzgerät 1 Schutzgerät 2

    Schutzabschnitt des Schutzgerätes 1operating section of protection unit 1

    protection unit 1 protection unit 2

    Main 1

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    Residual Magnetism• Impact due to residual magnetism with “Differential Protection“

    •   no impact on inner failure

    •   unwanted operation in case of outer failure

    Page 16

    CT1

    Netz 1F2F1

    CT2

    Schutzgerät 1 Schutzgerät 2protection unit 1 protection unit 2

    Main 1

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    Effect of Remanence (0%)

    © OMICRON Page 17

    Time to Saturate = 1.5 cyc

    1200:5A

    C800 CT

    24,000A Ifault

    X/R = 19

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    Effect of Remanence (50%)

    © OMICRON Page 18

    Time to Saturate = 0.5 cyc

    1200:5A

    C800 CT

    24,000A Ifault

    X/R = 19

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    Effect of Remanence (75%)

    © OMICRON Page 19

    1200:5A

    C800 CT

    24,000A Ifault

    X/R = 19

    Time to Saturate = 0.3 cyc

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    Effect of Remanence

    • Remanence as much as 80% of saturationflux can be expected

    • Can significantly reduce the burden capability

    of the CT

    *Source: IEEE C37.100-2007

    © OMICRON

    Page 20

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    Ways to Reduce Remanence

    • Use different grade of steel for core (hot-rolled instead of cold-rolled steel reduces up

    to half the max. remanence)

    • Use Gapped Core CT (TYP Class)

    © OMICRON Page 21

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    Reduction of Residual Magnetism

    > Hot-rolled steel canreduce the residualmagnetism to 40-50%of saturation flux

    > Use of air-gappedcore: higher excitingcurrent and lowersaturation levels;

    > Drawbacks: larger

    and more expensivecores, loweraccuracy

    > Used when stablerelay operation iscritical for systemsecurity

    * Picture from Electric Power Transformer Engineering,

    ed. by James H. Harlow

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    Residual Flux Measurement: Cumulative Method

    CT U  - terminal voltage   CT  I  - terminal current - secondary winding resistanceCT  R

    - core voltageC U  - interlinked (core) flux - residual fluxres

    nnn

    nnn

    res

    1

    121

    323

    212

    11

     

    ni

    i

    C res

    n

    i

    C res

    n

    i

    iresn   d U d U 01

    )()(11

            

    n

    n

    n

    n

    nn

    n

    n

    n

    CT CT 

    CT 

    CT CT 

    CT 

    C res

    d  I  Rd U d  I  Rd U 

    d U d U 

    11

    1

    0

    1

    0

    1

    1

    0

    )(*)(*2

    1)(*)(

    )(*2

    1)(

                    

            

    res

    1

    2

    3

    1t 

    2t 

    3t 

    nn 

      ,2

    nn  1

    2´   nt 

    1nt 

    nt 

    n

    1t 

    Magnetic flux variation under

    rectangular magnetization

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    Residual Flux Measurement: Averaging Method

      111

    000

    1   )(*)()(

    CT CT 

    CT 

    C    d  I  Rd U d U                

      *5.01res

     

     

     

     

      

     

    n

    i

    CT CT 

    n

    i

    CT 

    n

    i

    CT CT 

    CT 

    n

    i

    i

    i

    i

    i

    i

    i

    i

    i

    i

    d  I n

     Rd U n

    d  I  Rd U n

    n

    22

    2

    2

    11

    11

    )(*1

    1*)(

    1

    1

    )(*)(1

    1

    1

    1

            

            

    CT U  - terminal voltage   CT  I  - terminal current - secondary winding resistanceCT  R

    - core voltageC U  - interlinked (core) flux - residual fluxres

    res

    1

    2

    3

    1t 

    2t 

    3t 

    nn 

      ,2

    nn 

    1

    2´   nt 

    1nt 

    nt 

    n

    1t 

    Magnetic flux variation under rectangular magnetization

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    Hysteresis Loop Symmetry Condition

    nn     1

    1

    21

    )()(n

    n

    n

    n

    CT 

    CT    d  I d  I            

    1

    21

    )()(

    n

    n

    n

    n

    CT 

    CT    d U d U            

    CT U  - terminal voltage   CT  I  - terminal current - interlinked (core) flux

    res

    1

    2

    3

    1t 

    2t 

    3t 

    nn

        ,2

    nn 

    1

    2´   nt 

    1nt 

    nt 

    n

    1t 

    Magnetic flux variation under rectangular magnetization

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    Residual Remanence and Remanence Factor (2)

    Page 26

    * Picture from Wikipedia

    Family of hysteresis loops for grain-oriented electrical steel

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    Residual Flux Measurement: Implementation Issues

    • To determine residual flux it is essential to calculate

    voltage and current time integrals taken over

    measurement duration.

    • If calculation of these integrals can be made real-time (i.e.

    simultaneously with input sampling), there is no need to

    store input data of current and voltage channels.

    • Thus, even if saturation process is very long, it will still be

    possible to calculate residual flux, which allows applying

    this method to residual remanence measurement for both

    CTs and transformers.

    Page 27

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    CTA Residual Magnetism Card

    Page 28

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    Residual Magnetism• Demagnetization process

    • by applying minimum the same electrical force as the force caused the

    magnetization effect.

    • recommendation:

    • starting with similar force as the force which drove the core into saturation

    than reducing step by step to demagnetize the core

    Page 29

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    Determining the residual

    magnetism

    • Determining the residual magnetism in a field test

    •  Analysis of the measured values

    • Determining the residual magnetism with the CT Analyzer 

    30

    D t i i th id l

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    Determining the residual

    magnetism• Determining the residual magnetismin a field test

     – The residual magnetism can be determined relatively preciselyusing simple test apparatus.

    P1

    P2

    s1

    s2

    +

    -

    Transformer  Battery

    I0U0

    CMC 256 as recorder 

    31

    Determining the resid al

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    Determining the residual

    magnetism• Determining the residual magnetismin a field test

     – The test is performed in three steps• Load is applied until I0 and V0 are constant.

    P1

    P2

    s1

    s2

    +

    -

    Transformer  Battery

    CMC 256 as recorder 

    I0V0

    RCT

    RH LHnP nS

    Main inductance DC internal resistance

    32

    Determining the residual

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    Determining the residual

    magnetism• Determining the residual magnetismin a field test – The test is performed in three steps

    • Load is applied until I0 and V0 are constant.• This is then repeated with opposite polarity.

    P1

    P2

    s1

    s2

    -

    +

    Transformer  Battery

    I0V0

    RCT

    RH LHnP nS

    Main inductance DC internal resistance

    CMC 256 as recorder 

    33

    Determining the residual

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    Determining the residual

    magnetism• Determining the residual magnetism

    in a field test

    P1

    P2

    s1

    s2

    +

    -

    Transformer  Battery

    I0V0

    RCT

    RH LHnP nS

    Main inductance DC internal resistance

     – The test is performed in three steps

    • Load is applied until I0 and V0 are constant.• This is then repeated with opposite polarity.

    • This is then repeated once more with opposite polarity.

    CMC 256 as recorder 

    34

    Determining the residual

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    Determining the residual

    magnetism• Analysis of the measured values – With voltage V0 applied, the current I0 increases.

    The internal load of the transformer Z0 drops until V0, I0 and Z0

    are constant.

    35

    Determining the residual

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    Determining the residual

    magnetism• Analysis of the measured values

     –  As the flux in the core increases, the main inductance LH of the

    transformer changes. At maximum flux, the unsaturated

    inductance LS becomes the saturated inductance LS.

    36

    Determining the residual

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    Determining the residual

    magnetism• Analysis of the measured values – The reactance XLS of the saturated main inductance LS is several

    times lower than the DC internal resistance RCT of the

    transformer. As such, Z0 = RCT at constant current flow.

    const.Iwhen88,3 000

    0     CT  R I V 

     Z 

    37

    Determining the residual

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    Determining the residual

    magnetism• Analysis of the measured values – If RCT is known, the voltage can be calculated via the main

    inductance LH.

    CT  R L   R I V V V V  CT  H    000

    38

    Determining the residual

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    Determining the residual

    magnetism• Analysis of the measured values – The area below the voltage VLH is the magnetic flux

    [Φ in Vs] in the current transformer's core.

    39

    Determining the residual

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    Determining the residual

    magnetism• Analysis of the measured values –  Approximate calculation of the areas (of the flux in the core).

    VssV t V    16.64.14.41  

    VssV t V    5.105.22.42

     

    40

    Determining the residual

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    Determining the residual

    magnetism• Analysis of the measured values – Calculation of the flux via the integral of the voltage VLH.

      VsdxV  f s

    s

     LH    24.6

    0,2

    0,0

    1  

    Vs72.102 

    Vs65.103 

    41

    Determining the residual

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    Determining the residual

    magnetism• Analysis of the measured values

     – Conclusions regarding the flux of the transformer at the start of

    the measurement. The difference between Φ3 and Φ1 is the flux

    level prior to starting the measurement.

    VsVsVs   41.424.665.1013magnetismResidual 

    magnetismResidual31  

    42

    Determining the residual

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    Determining the residual

    magnetism• Analysis of the measured values – To determine the residual magnetism, the core is fully

    magnetized in the positive direction right up to saturation

    (I0 = constant) prior to starting

    measurements.

      VsdxV  f s

    s

     L   25.2

    0.2

    0.0

    1  

    VsVsVs   4.825.265.1013magnetismResidual

     

    43

    Determining the residual

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    Determining the residual

    magnetism• Analysis of the measured values – The residual magnetism determined [Kr] for this core is around78.9%.

    %9.7865.10

    4.8%100

    Vs

    VsKr 

    44

    Determining the residual

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    Determining the residual

    magnetism• Analysis of the measurement results – For the sake of completeness it should be mentioned, that the

    saturation flux acc. IEC is reached when a 10% increase of B

    causes a 50% increase of H.

    saturationremanence

    saturation

    remanenceremanence   100

    45

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    Summary

    > Residual Magnetism will effect how a CT performsduring a fault.

    > Demag after all tests.

    > May want to consider Demag after faults on criticalcircuits.

    > Questions??

    Page 46

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    Page 47

    Thanks for your attention.


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