Eddy Currents in Laminated Rectangular Cores

Mukerji, Saurabh Kumar; George, Moleykutty; Ramamurthy, Mahalakshmi; Asaduzzaman, Khandaker

doi:10.2528/pier08062101

Cited by 11 publications

(9 citation statements)

References 22 publications

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“…An application of the theory discussed here, is presented in the companion paper [ [17]. Lastly, it may be pointed out that the treatment given in this paper can be readily adapted for cores made of left-handed materials with simultaneously negative permittivity and permeability [20][21][22].…”

Section: Resultsmentioning

confidence: 99%

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Eddy Currents in Solid Rectangular Cores

Mukerji¹,

George²,

Ramamurthy³

et al. 2008

PIER B

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Abstract-An expression for the eddy current loss in solid rectangular cores is obtained using linear electromagnetic field analysis. Wherefrom text book formula for eddy current loss is derived highlighting various assumptions involved. To get an insight into the current interruption phenomena, electromagnetic fields in a composite rectangular core are analyzed. It is concluded that the reduction in eddy current loss in a laminated cores is basically due to the insertion of distributed capacitors in eddy current paths. Presence of these capacitors increases the impedance of the eddy current path, reducing eddy currents and eddy current loss.

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Section: Resultsmentioning

confidence: 99%

“…The work reported in the companion paper [17] takes cognizance of the current interruption in laminated cores.…”

Section: Introductionmentioning

confidence: 99%

Eddy Currents in Solid Rectangular Cores

Mukerji¹,

George²,

Ramamurthy³

et al. 2008

PIER B

Self Cite

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“…An integral equation method [2] and the stream function method [3] have been suggested for estimation of eddy currents in a plate where reaction fields have been neglected. Mukerji et al have used Fourier's method, also called the method of separation of variables, in analyses of electromagnetic fields in a plate [4], and a laminate [5,6]. In [4] and [5], the magnetic field is assumed to be alternating as in a transformer.…”

Section: Introductionmentioning

confidence: 99%

“…Mukerji et al have used Fourier's method, also called the method of separation of variables, in analyses of electromagnetic fields in a plate [4], and a laminate [5,6]. In [4] and [5], the magnetic field is assumed to be alternating as in a transformer. In [6], traveling fields, simplified boundary conditions and no magnetic field in the stacking direction on the boundary are assumed.…”

Section: Introductionmentioning

confidence: 99%

Harmonically Time Varying, Traveling Electromagnetic Fields Along a Plate and a Laminate With a Rectangular Cross Section, Isotropic Materials and Infinite Length

Marcusson¹,

Lundin²

2017

PIER B

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Abstract-This article contains derivation of propagation factors and Fourier series for harmonically time varying, traveling electromagnetic fields in a plate and a laminate with rectangular cross sections, isotropic materials and infinite length. Different and quite general fields are taken into account on all boundaries. Choices of boundary conditions and continuity conditions are discussed. Certain combinations of types of boundary conditions make the derivation possible for a laminate. Comparisons are made between results of Fourier series and finite element calculations.

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“…The exact solution leads to an analytical modeling, which will constitute the ideal modeling with regard to the inverse problem. However, the analytical solution is generally only reachable in simplified geometries [7][8][9] possibly associated with strong simplifying assumptions [3,10,11], so that it operates in a reduced validity domain.…”

Section: Introductionmentioning

confidence: 99%

A Differential DPSM Based Modeling Applied to Eddy Current Imaging Problems

Boré¹,

Joubert²,

Placko³

2014

PIER

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Abstract-This paper deals with an innovative implementation of a semi-analytical modeling method, called the Distributed Points Source Method (DPSM), in the case of an eddy current problem. The DPSM has already shown great potentialities for the versatile and computationally efficient modeling of complex electrostatic, electromagnetic or ultrasonic problems. In this paper, we report a new implementation of the DPSM, called differential DPSM, which shows interesting prospects for the modeling of complex eddy current problems such as met in the non-destructive imaging of metallic parts. In this paper, the used eddy current imaging device is firstly presented. It is composed of an eddy current (EC) inducer and a magneto optical set-up used to translate the magnetic field distribution appearing at the surface of the imaged part, into a recordable optical image. In this study, the device is implemented for the time-harmonics (900 Hz) imaging of a two-layer aluminum based assembly, featuring surfacebreaking and buried defects. Then, the basics of the time-harmonics DPSM modeling are recalled, and the differential approach is presented. It is implemented for the modeling of the interactions of the eddy current imaging device with the considered flawed assembly in the same operating conditions as the experimental implementation. The comparison between experimental and computed data obtained for millimetric surface and buried defects is presented in the form of complex magnetic cartographies and Lissajous plots. The obtained results show good agreement and open the way to the modeling of complex EC problems. Furthermore, the low computational complexity of the differential DPSM modeling makes it promising for solving EC inverse problems.

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Eddy Currents in Laminated Rectangular Cores

Cited by 11 publications

References 22 publications

Eddy Currents in Solid Rectangular Cores

Eddy Currents in Solid Rectangular Cores

Harmonically Time Varying, Traveling Electromagnetic Fields Along a Plate and a Laminate With a Rectangular Cross Section, Isotropic Materials and Infinite Length

A Differential DPSM Based Modeling Applied to Eddy Current Imaging Problems

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