3D nonlinear magnetostatic field computation with finite volume method by means of M-B iteration

et al. 2012

Journal of Sensors

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An improved method which can analyze the eddy current density in conductor materials using finite volume method is proposed on the basis of Maxwell equations andT-formulation. The algorithm is applied to solve 3D electromagnetic nondestructive evaluation (E’NDE) benchmark problems. The computing code is applied to study an Inconel 600 work piece with holes or cracks. The impedance change due to the presence of the crack is evaluated and compared with the experimental data of benchmark problems No. 1 and No. 2. The results show a good agreement between both calculated and measured data.

Section: Finite Volume Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

3D Finite Volume Modeling of ENDE Using ElectromagneticT-Formulation

Berthiau

et al. 2012

Journal of Sensors

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“…The integration of all partial differential terms resulting from equation (3) leads to an algebraic formulation that gives the nodal value of potential A in the principal node P as a function of nodal values in the neighbourhood nodes N1, N2, N3, B and T. For more detail about integration of the partial differential equation (3) using the FVM, one can refer to Cheriet et al . (2008).…”

Section: Fvm Formulationsmentioning

confidence: 99%

Arbitrary movement simulation using 3D NC-FVM for electromagnetic problems

Amrani

Cheriet

2018

COMPEL

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Purpose The purpose of this paper is to propose to simulate an arbitrary movement in electromagnetic problems by means of a 3D nonconforming finite volume method (NC-FVM). The moving part can be displaced according to the x, y and/or z direction. Design/methodology/approach The 3D nonconforming mesh technique coupled to the FVM is used to handle arbitrary displacement of moving parts. Accordingly, the whole problem domain is divided into two parts: moving part and fixed part. Both parts are meshed independently. By using a suitable connection between both fixed and moved meshes, the movement can be performed according to the three axes. Findings The TEAM Workshop Problem No. 23 is used to test the proposed method. The calculated values of the magnetic force applied to the permanent magnet for different positions of the magnet show the efficiency of the proposed method. Originality/value This paper introduces the NC-FVM to solve electromagnetic problems which contain moving parts. Here, the movement can be performed according to the three axes.

“…In fact, the linear interpolation is suitable especially in 2D problems. In the 3D case, we have proposed a method based on the bilinear interpolation technique (Cheriet et al , 2006). For its implementation, let us interesting by nodes situated on both sides of the nonconformal region.…”

Section: Movement Considerationmentioning

confidence: 99%

“…After that, the method is applied for the solution of linear magnetostatic problems (Zou et al , 2004). In Cheriet et al (2006) we have applied the FVM to a 3D practical nonlinear magnetostatic problem. In these works, encouraging results were obtained; opening thereafter a subject of promising FVM in modeling electrical engineering devices.…”

Section: Introductionmentioning

confidence: 99%

3D movement simulation technique in FVM method application to eddy current non destructive testing

Cheriet

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

Mimoune

2009

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PurposeThe purpose of this paper is to propose modelling 3D eddy current non destructive testing (EC NDT) problems by the finite volume method (FVM). Furthermore, the movement of the probe coil is taken into account.Design/methodology/approachThe nonconforming mesh technique is used to handle the displacement of the probe coil. Thus, the whole problem is divided into two parts; moving part (probe coil) and fixed part (specimen with crack), and then each part meshes independently. A computer code is built under Matlab program to generate 3D nonconforming mesh, to calculate magnetic and electric potentials and to evaluate the impedance change of the coil due to the presence of the crack.FindingsThe JSAEM No. 6 problem is used to test the proposed method. The calculated values of the impedance change of the probe coil due to the presence of crack, shows the efficiency of the developed software. A small difference is obtained between calculated values and measured values.Originality/valueThe paper introduces the FVM in solving EC NDT problems where the probe displacement is taken into account.