Development of a 3D electromagnetic model for eddy current tubing inspection: Application to the simulation of probe eccentricity

PurposeA numerical model dedicated to external eddy current inspection of tubes has been developed using the volume integral method (VIM). The purpose of this paper is to suggest new discretization schemes based on non‐uniform B‐splines for the solution of the state equation with the method of moments (MoM).Design/methodology/approachVIM is a semi‐analytical approach providing fast and accurate results for the simulation of eddy current testing (ECT) of pieces with canonical geometries. The state equation derived with this formalism is solved using the Galerkin variant of the well‐known MoM.FindingsThis paper shows that an accuracy improvement is achieved in MoM by using B‐splines with degree 1 or 2 as projection functions in MoM instead of pulse functions. Moreover, comparisons between simulation results show that, for all ECT configurations tested, the use of degree 1 B‐splines is sufficient to get this improvement.Originality/valueThe use of B‐splines functions has already been proposed for MoM in the literature, but not in the framework of the Galerkin variant of MoM. This paper also shows quantitative comparisons between experiment and simulation as well as a study of the minimal degree required to get an accuracy improvement in MoM.

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“…In the existing version of the model (Prémel et al, 2004) the basis and test functions are pulse functions, i.e. polynomials of degree 0.…”

Section: Choice Of Basis and Test Functionsmentioning

confidence: 99%

“…The preliminary calculation of these fields is detailed in Reboud et al (2007) and Prémel et al (2004) for several probe geometries. Because of the presence of the unknown current density J inside and outside of the integral, equation (1) must be solved numerically.…”

Section: New Discretisation Schemementioning

confidence: 99%

New discretisation scheme based on splines for volume integral method

Reboud

Prémel²,

Lesselier³

et al. 2008

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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“…1a, which is used in tubing and pipe inspection. Numerous experimental and modeling research efforts have investigated this type of probe [2][3][4][5]. The probes employed in [6,7] are examples of reflection differential probe composed of circular coils.…”

Section: Background Researchmentioning

confidence: 99%

Model based studies of the split D differential eddy current probe

Mooers¹,

Knopp²,

Blodgett³

2012

AIP Conference Proceedings

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“…Several variants of the volume integral method (VIM) have been reported in literature [1], [2]. Herein, defects can be represented by a distribution of current dipoles in its volume.…”

Section: Introductionmentioning

confidence: 99%

A Perturbation Approach for the Modeling of Eddy Current Nondestructive Testing Problems With Differential Probes

Sabariego

Dular

2007

IEEE Trans. Magn.

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A perturbation technique applied to the finite element modelling of eddy-current nondestructive testing (ECNDT) problems is developed for taking into account differential probes. It concerns a h−conform formulation. The source term of the formulation is directly determined by the projection of the unperturbed field in a relatively small region around the defect. The voltage change due to the presence of the flaw is calculated by performing an integral over the defect and a layer of elements in the exterior domain that touch its boundary. The considered test case involves a shielded differential probe scanning the surface of a metal specimen for the detection of flaws.

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Development of a 3D electromagnetic model for eddy current tubing inspection: Application to the simulation of probe eccentricity

Cited by 11 publications

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New discretisation scheme based on splines for volume integral method

New discretisation scheme based on splines for volume integral method

Model based studies of the split D differential eddy current probe

A Perturbation Approach for the Modeling of Eddy Current Nondestructive Testing Problems With Differential Probes

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