Iterative solution technique for 3-D eddy current analysis using T-method

3D Finite Volume Modeling of ENDE Using ElectromagneticT-Formulation

“…However, solely the conductor is interesting in our problem. Therefore, we want to use a simple method similar with T-Omega formulation, considering only the electric potential T. Some authors have already proposed T-iterative method where the Omega is not included [13]. To begin with the Maxwell equations and the supplementary equations…”

“…Afterwards, it is added to the source magnetic field to replace the former source field. Thus, the cycle continues to form an iterative process, while the vector T and its normal component on the surface are concerned to calculate H c by using computer code "ELMES" [13,16].…”

“…With the algorithm we have developed, only the electrical vector potential is calculated. Moreover, thanks to the application of Biot-Savart's law [11][12][13], the movements of the coil are taken into account without remeshing the problem domain and it permits to calculate directly the magnetic field generated by the eddy current in the conductor. This paper discusses also how to deal with the crack or hole using the FVM.…”

3-D Finite-Element Modelling of a Maglev System using Bulk High-Tc Superconductor and its Application

“…In the previous work, an over-relaxation iterative solution approach has been proposed to handle this dense matrix on a linear eddy current problem (Takagi, et al, 1988). However, to the situation we are facing, the nonlinearity of the E -J characteristic brings an additional iterative procedure in determining the conductivity of the high-Tc superconductor.…”

3D Numerical Simulation of Eddy Current Testing of a Block with a Crack

“…Both methods require variables in space as well as in a conductor. We have already proposed the T method [1,2,3], where a magnetic scalar potential w is not included and we do not need variables in space. But the method has a disadvantage that a large core memory is needed due to a dense matrix.…”