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    SEMINAR PRESENTATION ON

    DETECTION OF WINDING

    DEFORMATION IN POWERTRANSFORMER

    PISE SUMIT GOVIND

    P13PS012

    M.Tech POWER SYSTEMS

    Dr. H. G. Patel

    (Supervisor)

    SARDAR VALLABHBHAI NATIONAL INSTITUTE OF TECHNOLOGY

    SURAT-395007, GUJARAT, INDIA

    DEPARTMENT OF ELECTRICAL ENGINEERING

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    Outline

    Introduction

    Modelling a transformer winding

    Frequency response analysis method

    Deformation coefficient method

    Conclusion

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    Introduction

    Overview

    Detection winding deformation

    Reactance comparison method

    Frequency response analysis(FRA)

    Using deformation coefficient

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    Modelling a transformer winding

    L11 L22 Lnn

    L1n

    L2n

    Cg/2 Cg Cg Cg Cg/2

    Cs Cs Cs

    1 2 n

    1

    1'

    2

    2'

    Fig. 1: Lumped parameter model

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    Number of sections = 8

    Number of turns in each section = 2018 SWG (Standard Wire Gauge)

    Mean diameter of winding = 185 mm

    Height of winding = 225 mm

    Sectional series capacitance Cs= 2.2 nF

    Sectional ground capacitance Cg = 1.0 nF

    Inductance values (H)

    L M1 M2 M3 M4 M5 M6 M7

    117 58.1 31.4 19.14 12.55 8.6 5.95 4.45

    (The measured self and mutual inductances are given in the table. Here, L

    is the self-inductance of the sections, and M1, M2, etc., are the mutual

    inductances between the sections. The suffix indicates sectional separation.

    For example, mutual inductance between sections 1-4 or 2-5 or 3-6 or 4-7

    is M3and that between sections 1-8 is M7.)

    Parameters of the winding

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    Frequency Response

    AnalysisMethod Principle

    Fault Diagnosis using FRA

    Analysis with known reference recordings

    Analysis without reference recordings

    using different phases of the same transformer.

    using a twin transformer.

    Simulation Results

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    0 1 2 3 4 5 6 7 8 9 10

    x 104

    100

    1010

    Impedance

    Impeda

    nce(ohms)

    Frequency (Hz)

    0 1 2 3 4 5 6 7 8 9 10

    x 104

    -100

    -50

    0

    50

    100

    Phase

    Phase(deg)

    Frequency (Hz)

    Fig. 2 Driving point impedance characteristic of a winding with terminals

    22' shorted

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    0 1 2 3 4 5 6 7 8 9 10

    x 104

    100

    1010

    Impedance

    Impedance

    (ohms)

    Frequency (Hz)

    0 1 2 3 4 5 6 7 8 9 10

    x 104

    -100

    -50

    0

    50

    100Phase

    Phase(deg)

    Frequency (Hz)

    Fig. 3 Driving point impedance characteristic of a winding with terminals

    22' open circuited

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    0 1 2 3 4 5 6 7 8 9 10x 10

    4

    100

    Impedance

    Impedance(ohm

    s)

    Frequency (Hz)

    0 1 2 3 4 5 6 7 8 9 10

    x 104

    -100

    -50

    0

    50

    100Phase

    Phase

    (deg)

    Frequency (Hz)

    No deformation

    Section 4 radially deformed by 5%

    Section 6 radially deformed by 15%

    Section 8 radially deformed by 30%

    Fig. 4 Driving point characteristic (open circuited farther end 22')

    Comparison of FRA signatures for radially deformed section

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    Comparative study of shift in natural frequencies due to radial deformation at different sections

    Section Pole Zero

    Frequency

    kHz

    Log(Z) Frequency

    kHz

    Log(Z)

    Pole/zero number 1 1

    No deformation

    Section 4 by 5%

    Section 6 by 15%

    Section 8 by 30%

    96.75

    96.8

    97.55

    103

    4.66

    4.663

    4.6548

    4.685

    41.1

    41.2

    42.2

    44

    0.34

    0.34

    0.335

    0.325

    Pole/zero number 2 2

    No deformation

    Section 4 by 5%

    Section 6 by 15%

    Section 8 by 30%

    186

    186.6

    186.8

    193

    4.55

    4.545

    4.563

    4.545

    138

    138.2

    138.7

    146

    0.63

    0.632

    0.625

    0.635

    Pole/zero number 3 3

    No deformation

    Section 4 by 5%Section 6 by 15%

    Section 8 by 30%

    257.5

    257.7259.3

    261.5

    4.325

    4.3294.32

    4.305

    228

    228230

    234

    1.015

    1.0161.01

    1.04

    Pole/zero number 4 4

    No deformation

    Section 4 by 5%

    Section 6 by 15%

    Section 8 by 30%

    322

    322.5

    323

    324.6

    4.035

    4.03

    4.03

    4.025

    303

    304

    304.5

    306.25

    1.3

    1.3

    1.31

    1.31

    Pole/zero number 5 5

    No deformation

    Section 4 by 5%

    Section 6 by 15%Section 8 by 30%

    380

    380.5

    381383

    3.68

    3.68

    3.673.67

    369

    369.5

    370.5372

    1.595

    1.595

    1.5951.6

    Pole/zero number 6 6

    No deformation

    Section 4 by 5%

    Section 6 by 15%

    Section 8 by 30%

    432

    432.5

    433

    434.2

    3.32

    3.325

    3.32

    3.305

    425

    425.5

    426.2

    427.9

    1.86

    1.86

    1.865

    1.87

    Pole/zero number 7 7

    No deformation

    Section 4 by 5%

    Section 6 by 15%

    Section 8 by 30%

    472

    472

    473.5

    473.5

    2.92

    2.91

    2.92

    2.905

    468

    468.2

    469.6

    469.9

    2.2

    2.21

    2.21

    2.21

    Frequency and amplitude of natural frequencies

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    Deformation Coefficient Method

    Principle

    Procedural steps After isolating the transformer and removing electrical connections of the

    winding under test with other windings and connecting all terminals of otherwindings to ground, the following four capacitance measurements need to bedone:

    The capacitance (C1H) between winding terminals 1 and 1 at selected highfrequency (FH): The high frequency needs to be selected only once initially, andis such that the impedance offered by the winding remains capacitive beyond thatfrequency. This can be easily ensured by observing the phase of the impedance.

    The capacitance (C2H) across winding terminals 2 and 2 at the same highfrequency.

    The capacitance (C12H) across winding terminals 1 and 2 at the same high

    frequency. The capacitance (CL) between winding terminals 1 and 1 or terminals 2 and 2 at

    FL(a low frequency, say about 50 to 100 Hz): The low frequency is selected suchthat the measured impedance value is predominantly decided by the parallelcombination of sectional ground capacitances.

    Only these four measured capacitances and two selected frequencies need tobe preserved as the fingerprint or reference values for the winding under test (for the

    purpose of future diagnostics).

    '

    1 110 '

    2 2

    log H HH H

    C CDC C C

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    Uniqueness of Deformation Coefficient

    For the eight sections winding model considered in this

    work the expressions for DC as a function of p. u. changein sectional ground capacitance are given below.

    For sections at the extreme ends,

    Whereas, for the rest of the sections

    The DC as a function of p.u. change in sectional series

    capacitance is

    Similarly, the expression for C12His of the form

    2

    10log

    g

    x a x bx cDC s k

    x d x e

    2

    10 2log

    g

    x a x bx cDC s k

    x d x ex f

    10log sy g

    DC s k y h

    12H

    yC k

    y i

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    Coefficient Sec-1 Sec-2 Sec-3 Sec-4 Sec-5 Sec-6 Sec-7 Sec-8

    s

    kg

    a

    b

    c

    d

    e

    f

    ks

    g

    h

    k

    i

    +

    -1337.1

    10.8

    13.931

    26.77

    8.985

    8.53

    -----

    74083

    1.1830

    1.9386

    -196.1

    1.4734

    +

    954.4

    10.798

    15.747

    42.302

    9.898

    19.32

    72.745

    1146.1

    1.3805

    1.5703

    -55.0

    1.4734

    +

    56.0

    10.794

    16.545

    49.947

    10.502

    17.529

    57.402

    59.08

    1.445

    1.4945

    -17.6

    1.4734

    +

    3.8

    10.777

    16.977

    52.702

    10.755

    17.15

    54.164

    3.8387

    1.4644

    1.4743

    -8.3

    1.4734

    -

    3.8

    10.777

    16.977

    52.702

    10.755

    17.15

    54.164

    3.8387

    1.4644

    1.4743

    -8.3

    1.4734

    -

    56.0

    10.794

    16.545

    49.947

    10.502

    17.529

    57.402

    59.08

    1.445

    1.4945

    -17.6

    1.4734

    -

    954.4

    10.798

    15.747

    42.302

    9.898

    19.32

    72.745

    1146.1

    1.3805

    1.5703

    -55.0

    1.4734

    -

    -1337.1

    10.8

    13.931

    26.77

    8.985

    8.53

    -----

    74083

    1.1830

    1.9386

    -196.1

    1.4734

    Coefficient of above expression for different sections

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    Simulation Results

    0.05 0.1 0.15 0.2 0.25 0.30

    0.5

    1

    1.5

    2

    2.5

    3

    3.5

    4

    p. u . deformation

    DeformationCoefficient

    Sectional ground capacitance change

    For first section

    For second section

    For third section

    For fourth section

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    0.05 0.1 0.15 0.2 0.25 0.30.5

    1

    1.5

    2

    2.5

    3

    3.5

    4

    4.5

    5

    p. u. deformation

    Deforma

    tioncoefficient

    Sectional series capacitance change

    For first section

    For second section

    For third sectionFor fourth section

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    0.05 0.1 0.15 0.2 0.25 0.30

    10

    20

    30

    40

    50

    60

    p. u. change in sec tional Cs(Base Cs=2.2nF, Cg=1.0nF)

    Changein

    C12H(inpF)

    Change in C12H v/s sectional deformation

    section 1 or 8 deformed

    section 2 or 7 deformed

    section 3 or 6 deformed

    sectioin 4 or 5 deformed

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    Conclusion

    For FRA method, one requires lengthy algorithms,advanced resources and possibly, the analysis by an

    expert to deduce the conclusions about the location and

    extent of deformation.

    Unlike FRA diagnostic studies, the deformationcoefficient (DC) method does not require frequency

    sweep to deduce conclusions about winding state. Also,

    the need of interpretation by an expert is not essential.

    Hence the method of deformation coefficient is the mostsuitable method for detecting transformer winding

    deformation.

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    References

    [1] E. Al-Ammar, G. G. Karady, and O. P. Hevia, "Improved technique for fault detection sensitivity in transformermaintenance test," inPower Engineering Society General Meeting, 2007. IEEE, 2007, pp. 1-8.

    [2] P. M. Joshi and S. V. Kulkarni, "A diagnostic method for determining deformations in a transformer or reactor

    winding,"Indian Patent Application No, 1893.

    [3] P. M. Joshi and S. V. Kulkarni, "Use of Deformation Coefficient for Transformer Winding Diagnostics,"

    International Journal of Emerging Electric Power Systems, vol. Vol. 9, p. Art. 7, October 2008.

    [4] E. Dick and C. Erven, "Transformer diagnostic testing by frequency response analysis," Power Apparatus and

    Systems, IEEE Transactions on,pp. 2144-2153, 1978.

    [5] V. Venegas, J. L. Guardado, S. G. Maximov, and E. Melgoza, "A computer model for surge distribution studies in

    transformer windings," inEUROCON 2009, EUROCON'09. IEEE, 2009, pp. 451-457.

    [6] S. V. Kulkarni and S. Khaparde, "Transformer engineering: design and practice" Power engineering. New York,

    NY: Marcel Dekker, Inc, vol. 25, 2004.

    [7] K. Ragavan and L. Satish, "Localization of changes in a model winding based on terminal measurements:

    Experimental study,"Power Delivery, IEEE Transactions on, vol. 22, pp. 1557-1565, 2007.

    [8] M. Wang, A. J. Vandermaar, and K. Srivastava, "Improved detection of power transformer winding movement by

    extending the FRA high frequency range,"Power Delivery, IEEE Transactions on, vol. 20, pp. 1930-1938, 2005.

    [9] E. Rahimpour, J. Christian, K. Feser, and H. Mohseni, "Transfer function method to diagnose axial displacement

    and radial deformation of transformer windings,"Power Delivery, IEEE Transactions on, vol. 18, pp. 493-505, 2003.

    [10] P. M. Joshi and S. V. Kulkarni, "Transformer winding diagnostics using deformation coefficient," in Power and

    Energy Society General Meeting-Conversion and Delivery of Electrical Energy in the 21st Century, 2008 IEEE, 2008,

    pp. 1-4.