Analytical model of eddy current bobbin coil probe responses at support plates in steam generator and heat exchanger tubes

Abstract The steam generators (SGs) of CANadian Deuterium Uranium nuclear reactors require periodic inspections to ensure their safe operation. Eddy current (EC) testing is the primary method by which the SG tubes are inspected. Many conditions in the SG tubes affect the EC response, such as frettin...

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Published inJournal of physics. D, Applied physics Vol. 57; no. 19; pp. 195003 - 195016
Main Authors Hawkins, Frank, Sullivan, Sean P, Krause, Thomas W
Format Journal Article
LanguageEnglish
Published IOP Publishing 10.05.2024
Subjects
analytical model
eddy current testing
non-destructive evaluation
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Abstract Abstract The steam generators (SGs) of CANadian Deuterium Uranium nuclear reactors require periodic inspections to ensure their safe operation. Eddy current (EC) testing is the primary method by which the SG tubes are inspected. Many conditions in the SG tubes affect the EC response, such as fretting, pitting, cracking, as well as tube expansion, and the presence of tubesheet and support structures. When two or more of these parameters overlap, the EC signals from degradation induced wall losses are frequently difficult to interpret because these wall loss signals are often distorted due to interference with background signal variations. In this paper, a novel analytical model that describes the impedance of a bobbin coil with a plate encircling an arbitrary number of cylindrical conductors is developed. The model is validated against finite element method modelling and experiment. This model can be used to simulate the main probe response, while inspecting SG tubes near the tubesheet and support structures and thereby, provides the potential to separate out smaller flaw responses.
AbstractList Abstract The steam generators (SGs) of CANadian Deuterium Uranium nuclear reactors require periodic inspections to ensure their safe operation. Eddy current (EC) testing is the primary method by which the SG tubes are inspected. Many conditions in the SG tubes affect the EC response, such as fretting, pitting, cracking, as well as tube expansion, and the presence of tubesheet and support structures. When two or more of these parameters overlap, the EC signals from degradation induced wall losses are frequently difficult to interpret because these wall loss signals are often distorted due to interference with background signal variations. In this paper, a novel analytical model that describes the impedance of a bobbin coil with a plate encircling an arbitrary number of cylindrical conductors is developed. The model is validated against finite element method modelling and experiment. This model can be used to simulate the main probe response, while inspecting SG tubes near the tubesheet and support structures and thereby, provides the potential to separate out smaller flaw responses.
Author Sullivan, Sean P
Krause, Thomas W
Hawkins, Frank
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  givenname: Sean P
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  organization: Ontario Power Generation , Pickering, Ontario, Canada
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  organization: Royal Military College of Canada Department of Physics and Space Science, Kingston, Ontario, Canada
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Cites_doi 10.1063/1.1663297
10.1109/tim.2016.2514778
10.1063/1.1543634
10.1063/1.2827459
10.1063/1.1306077
10.1080/09349840209409708
10.1109/tmag.2009.2036724
10.1063/5.0088221
10.1016/0963-8695(96)00001-1
10.3233/JAE-2004-564
10.1016/j.ndteint.2018.03.003
10.1115/1.4047293
10.1016/j.ndteint.2012.01.005
10.1016/j.ndteint.2013.12.012
10.1137/S0036144501386111
10.1016/j.ndteint.2015.04.008
10.1016/j.pnucene.2007.07.008
10.1063/1.1656680
10.1090/S0025-5718-1967-0228165-4
10.1088/0022-3727/18/9/006
10.1098/rspa.2005.1509
10.1016/j.ndteint.2015.06.005
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References Theodoulidis (dad2568bib20) 2003; 93
Eves (dad2568bib31) 1966
Yu (dad2568bib14) 2014; 63
Dodd (dad2568bib2) 1974; 45
Maplesoft, a division of Waterloo Maple Inc. (dad2568bib29) 2020
Buck (dad2568bib19) 2016; 65
Jackson (dad2568bib26) 1999
Luck (dad2568bib24) 2002; 44
Mokros (dad2568bib6) 2015
Burke (dad2568bib23) 1985; 18
Desjardins (dad2568bib4) 2015
Theodoulidis (dad2568bib22) 2015; vol 40
Desjardins (dad2568bib8) 2015; 75
Theodoulidis (dad2568bib9) 2010; 46
Lopez (dad2568bib13) 2008; 50
Chen (dad2568bib18) 2015; 75
Zetec (dad2568bib32) 2021
The Mathworks Inc (dad2568bib28)
Olver (dad2568bib27)
Theodoulidis (dad2568bib12) 2002; 14
Dodd (dad2568bib1) 1968; 39
Klein (dad2568bib7) 2018; 96
Griffiths (dad2568bib25) 2017
AZO Materials (dad2568bib34)
Meeker (dad2568bib35) 2019
Sullivan (dad2568bib11) 2000; 509
Theodoulidis (dad2568bib3) 2004; 19
Contant (dad2568bib15) 2022; 131
De Halleux (dad2568bib17) 1996; 29
Theodoulidis (dad2568bib5) 2005; 461
Delves (dad2568bib30) 1967; 21
Luloff (dad2568bib16) 2020; 3
Theodoulidis (dad2568bib10) 2012; 47
Theodoulidis (dad2568bib21) 2008; 103
Olympus Scientific Solutions (dad2568bib33) 2018
References_xml – year: 2019
  ident: dad2568bib35
  article-title: Finite element modelling magnetics
  contributor:
    fullname: Meeker
– year: 2017
  ident: dad2568bib25
  contributor:
    fullname: Griffiths
– volume: 45
  start-page: 638
  year: 1974
  ident: dad2568bib2
  article-title: Induction coils coaxial with an arbitrary number of cylindrical conductors
  publication-title: J. Appl. Phys.
  doi: 10.1063/1.1663297
  contributor:
    fullname: Dodd
– volume: 65
  start-page: 672
  year: 2016
  ident: dad2568bib19
  article-title: Simultaneous multiparameter measurement in pulsed eddy current steam generator data using artificial neural networks
  publication-title: IEEE Trans. Instrum. Meas.
  doi: 10.1109/tim.2016.2514778
  contributor:
    fullname: Buck
– volume: 93
  start-page: 3071
  year: 2003
  ident: dad2568bib20
  article-title: Model of ferrite-cored probes for eddy current nondestructive evaluation
  publication-title: J. Appl. Phys.
  doi: 10.1063/1.1543634
  contributor:
    fullname: Theodoulidis
– year: 1999
  ident: dad2568bib26
  contributor:
    fullname: Jackson
– year: 1966
  ident: dad2568bib31
  contributor:
    fullname: Eves
– volume: 103
  year: 2008
  ident: dad2568bib21
  article-title: Impedance of an induction coil at the opening of a borehole in a conductor
  publication-title: J. Appl. Phys.
  doi: 10.1063/1.2827459
  contributor:
    fullname: Theodoulidis
– year: 2015
  ident: dad2568bib4
  article-title: Analytical modeling for transient probe response in eddy current testing
  contributor:
    fullname: Desjardins
– volume: 509
  start-page: 401
  year: 2000
  ident: dad2568bib11
  article-title: Applying computer modeling to eddy current signal analysis for steam generator and heat exchanger tube inspections
  publication-title: AIP Conf. Proc.
  doi: 10.1063/1.1306077
  contributor:
    fullname: Sullivan
– volume: 14
  start-page: 111
  year: 2002
  ident: dad2568bib12
  article-title: Analytical modeling of wobble in eddy current tube testing with bobbin coils
  publication-title: Res. Nondestruct. Eval.
  doi: 10.1080/09349840209409708
  contributor:
    fullname: Theodoulidis
– volume: 46
  start-page: 1034
  year: 2010
  ident: dad2568bib9
  article-title: Interaction of an eddy-current coil with a right-angled conductive wedge
  publication-title: IEEE Trans. Magn.
  doi: 10.1109/tmag.2009.2036724
  contributor:
    fullname: Theodoulidis
– volume: 131
  year: 2022
  ident: dad2568bib15
  article-title: Inverse algorithm for extraction of multiple parameters using analytical model of eddy current response
  publication-title: J. Appl. Phys.
  doi: 10.1063/5.0088221
  contributor:
    fullname: Contant
– year: 2015
  ident: dad2568bib6
  article-title: Pulsed eddy current inspection of broach support plates in steam generators
  contributor:
    fullname: Mokros
– ident: dad2568bib34
  article-title: Stainless steel—grade 410 (UNS S41000)
  contributor:
    fullname: AZO Materials
– volume: vol 40
  start-page: 87
  year: 2015
  ident: dad2568bib22
  article-title: Analytical model for support plate interference in eddy current tube testing
  contributor:
    fullname: Theodoulidis
– year: 2018
  ident: dad2568bib33
  article-title: Nortec 600 eddy current flaw detector user’s manual E
  contributor:
    fullname: Olympus Scientific Solutions
– volume: 29
  start-page: 103
  year: 1996
  ident: dad2568bib17
  article-title: Eddy current measurement of the wall thickness and conductivity of circular non-magnetic conductive tubes
  publication-title: NDT&E Int.
  doi: 10.1016/0963-8695(96)00001-1
  contributor:
    fullname: De Halleux
– ident: dad2568bib27
  article-title: Bessel functions
  contributor:
    fullname: Olver
– volume: 19
  start-page: 207
  year: 2004
  ident: dad2568bib3
  article-title: End effect modelling in eddy current tube testing with bobbin coils
  publication-title: Int. J. Appl. Electromagn. Mech.
  doi: 10.3233/JAE-2004-564
  contributor:
    fullname: Theodoulidis
– volume: 96
  start-page: 18
  year: 2018
  ident: dad2568bib7
  article-title: Analytical model of the eddy current response of a drive-receive coil system inside two concentric tubes
  publication-title: NDT&E Int.
  doi: 10.1016/j.ndteint.2018.03.003
  contributor:
    fullname: Klein
– volume: 3
  year: 2020
  ident: dad2568bib16
  article-title: Simultaneous extraction of multiple parameters from a transmit–receive eddy current probe above a layered planar conductive structure
  publication-title: J. Nondestruct. Eval. Diagn. Progn. Eng. Syst.
  doi: 10.1115/1.4047293
  contributor:
    fullname: Luloff
– volume: 47
  start-page: 144
  year: 2012
  ident: dad2568bib10
  article-title: Extension of a model for eddy current inspection of cracks to pulsed excitations
  publication-title: NDT&E Int.
  doi: 10.1016/j.ndteint.2012.01.005
  contributor:
    fullname: Theodoulidis
– volume: 63
  start-page: 1
  year: 2014
  ident: dad2568bib14
  article-title: An approach to reduce lift-off noise in pulsed eddy current nondestructive technology
  publication-title: NDT&E Int.
  doi: 10.1016/j.ndteint.2013.12.012
  contributor:
    fullname: Yu
– volume: 44
  start-page: 227
  year: 2002
  ident: dad2568bib24
  article-title: Explicit solutions for transcendental equations
  publication-title: SIAM Rev.
  doi: 10.1137/S0036144501386111
  contributor:
    fullname: Luck
– year: 2021
  ident: dad2568bib32
  article-title: 2021 product catalog
  contributor:
    fullname: Zetec
– volume: 75
  start-page: 8
  year: 2015
  ident: dad2568bib8
  article-title: Transient response of a driver-pickup coil probe in transient eddy current testing
  publication-title: NDT&E Int.
  doi: 10.1016/j.ndteint.2015.04.008
  contributor:
    fullname: Desjardins
– volume: 50
  start-page: 828
  year: 2008
  ident: dad2568bib13
  article-title: Removing eddy-current probe wobble noise from steam generator tubes testing using wavelet transform
  publication-title: Prog. Nucl. Energy
  doi: 10.1016/j.pnucene.2007.07.008
  contributor:
    fullname: Lopez
– volume: 39
  start-page: 2829
  year: 1968
  ident: dad2568bib1
  article-title: Analytical solutions to eddy‐current probe‐coil problems
  publication-title: J. Appl. Phys.
  doi: 10.1063/1.1656680
  contributor:
    fullname: Dodd
– volume: 21
  start-page: 543
  year: 1967
  ident: dad2568bib30
  article-title: A numerical method for locating the zeros of an analytic function
  publication-title: Math. Comput.
  doi: 10.1090/S0025-5718-1967-0228165-4
  contributor:
    fullname: Delves
– ident: dad2568bib28
  article-title: diag
  contributor:
    fullname: The Mathworks Inc
– volume: 18
  start-page: 1745
  year: 1985
  ident: dad2568bib23
  article-title: A perturbation method for calculating coil impedance in eddy-current testing
  publication-title: J. Phys. D: Appl. Phys.
  doi: 10.1088/0022-3727/18/9/006
  contributor:
    fullname: Burke
– year: 2020
  ident: dad2568bib29
  article-title: Maple
  contributor:
    fullname: Maplesoft, a division of Waterloo Maple Inc.
– volume: 461
  start-page: 3123
  year: 2005
  ident: dad2568bib5
  article-title: Eddy current coil interaction with a right-angled conductive wedge
  publication-title: Proc. R. Soc. A
  doi: 10.1098/rspa.2005.1509
  contributor:
    fullname: Theodoulidis
– volume: 75
  start-page: 33
  year: 2015
  ident: dad2568bib18
  article-title: Electrical conductivity measurement of ferromagnetic metallic materials using pulsed eddy current method
  publication-title: NDT&E Int.
  doi: 10.1016/j.ndteint.2015.06.005
  contributor:
    fullname: Chen
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Snippet Abstract The steam generators (SGs) of CANadian Deuterium Uranium nuclear reactors require periodic inspections to ensure their safe operation. Eddy current...
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StartPage 195003
SubjectTerms analytical model
eddy current testing
non-destructive evaluation
Title Analytical model of eddy current bobbin coil probe responses at support plates in steam generator and heat exchanger tubes
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