Simulation of Transient Eddy-Current Measurement for the Characterization of Depth and Conductivity of a Conductive Plate

Cheng, Wei; Kōmura, Ichirō

doi:10.1109/tmag.2008.2001613

Cited by 24 publications

(2 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Proof. Again, the first assertion follows from theorem 3.3, theorem 3.4, and the fact, that the evaluation of ν × curl E| + for solutions of ( 12) or (13) in T H −1/2 (div ) is linear and continuous.…”

Section: Upper Boundmentioning

confidence: 91%

See 1 more Smart Citation

Unique shape detection in transient eddy current problems

Arnold

Harrach²

2013

Inverse Problems

View full text Add to dashboard Cite

Transient excitation currents generate electromagnetic fields which in turn induce electric currents in proximal conductors. For slowly varying fields, this can be described by the eddy current equations, which are obtained by neglecting the dielectric displacement currents in Maxwell's equations. The eddy current equations are of parabolic-elliptic type. In insulating regions, the field instantaneously adapts to the excitation (elliptic behavior), while in conducting regions, this adaptation takes some time due to the induced eddy currents (parabolic behavior). The subject of this work is to locate the conductor(s) surrounded by a non-conducting medium from electromagnetic measurements, i.e., from knowledge of the excitation currents and measurements of the corresponding electromagnetic fields. We show that the conductors are uniquely determined by the measurements, and give an explicit criterion to decide whether a given point is inside or outside the conducting domain. This criterion serves as a base for rigorously justified non-iterative numerical reconstruction strategies.

show abstract

Section: Upper Boundmentioning

confidence: 91%

“…An overview of non-destructive evaluation is given in [9]; see also [27,32]. Inverse problems in transient eddy current problems are considered, for instance, in [13,19]. In the mathematical literature, a more detailed analysis on inverse time-harmonic eddy current problems is provided, for instance, in [4,31,33].…”

Section: Introductionmentioning

confidence: 99%

Unique shape detection in transient eddy current problems

Arnold

Harrach²

2013

Inverse Problems

View full text Add to dashboard Cite

show abstract

Contribution to the modeling of a voltage driven pulsed eddy current sensor for the characterization of conductive plates

Menana¹,

Féliachi²

2011

Analog Integr Circ Sig Process

View full text Add to dashboard Cite

We highlight some physical phenomena occurring in pulsed eddy current testing, through the modeling of the response of a voltage driven pulsed eddy current sensor for the characterization of the thickness and conductivity of a metallic conductive plate. We use the finite element time domain method coupled to the electric circuit equation in the eddy current sensor which consists of an air cored coil. The characterization parameters are obtained from the current variation in the coil. The effects of the thickness and conductivity are clearly distinguished by considering three metallic plates of different conductivities. Time and frequency approaches are considered. We show that the reconstitution of the coil response signal from its Fourier series expansion leads to a loss of important features of the latter, limiting thus the characterization parameters, since this reconstitution does not take account of the subtransient phenomena, i.e., the time of diffusion of the electromagnetic field in the conductive plate. The numerical results are supported by measurements.

show abstract