Adaptive Mesh Generation Method Utilizing Magnetic Flux Lines in Two-Dimensional Finite Element Analysis

Matsutomo, Shinya; Noguchi, So; Yamashita, Hideo

doi:10.1109/tmag.2011.2176471

Cited by 17 publications

(5 citation statements)

References 10 publications

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“…Contrary to the finiteelement analysis [13], [32] and also new methods (for example, the natural element method [33]), the magnetic charges approach considers the integration of (29) and (30) only with reference to the specific regions of interest. In this way, accuracy and time computations can be highly increased and reduced, respectively.…”

Section: Magnetostatic Field Evaluationmentioning

confidence: 99%

“…In relation to the reliability of the FEM simulations regarding this topic, various indices of fitness have been proposed [6]- [12], but the problem of the precision required does not make this method suitable for performing accurate evaluations of the magnetic field relative to unconventional configurations of electrical machines. Furthermore, the option to increase the FEM meshing has its limits [13], because an excessive discretization greatly increases the computation time and can cause a numerical ill-conditioning that produces errors greater than those associated with a less dense mesh. These kinds of problems also arise in other fields, for example, when magnetic fields in synchrotron light sources [14], tokamaks [15]- [19], stellarator [20]- [24], and hybrid tokamak-stellarator [25] have to be evaluated with high precision to study the controlled nuclear fusion.…”

Section: Introductionmentioning

confidence: 99%

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Symmetry of Magnetostatic Fields Generated by Toroidal Helicoidal Magnets

Muscia

2015

IEEE Trans. Magn.

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In this paper the axial symmetry of the magnetic field generated by a permanent magnet of helicoidal toroidal kind is shown. In the first part of the paper we illustrate the shape of the magnet and the number of areas where the field is calculated to demonstrate the symmetry. We define quantitatively the size of the toroidal helical magnet and the regions where the magnetostatic field is evaluated. The field is carried out for each angular sector that represents the regions where the magnetic flux density is computed. This calculation is performed with reference to a matrix of points belonging to each sector. Two sets of evaluations are performed. The first one is referred to a less dense matrix of points relative to all the regions. The aim of this computation is to demonstrate the axial symmetry of the field. The second set of calculations concerns the field evaluation by using a much higher dense matrix of points. By using this data we are able to interpolate the same field with a high precision. This second evaluation of the field is carried out with reference only to the flat region facing the first coil of the helical toroidal magnet. The use of an interpolation surface through the final points of the magnetic induction vectors previously computed allows a very fast evaluation of the field virtually in all the infinite points of the angular sector. The symmetry enables us to drastically reduce the time computation of the magnetostatic field in the points of interest

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Section: Magnetostatic Field Evaluationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Symmetry of Magnetostatic Fields Generated by Toroidal Helicoidal Magnets

Muscia

2015

IEEE Trans. Magn.

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“…where t is the thickness of the whole HTS wire, including the copper stabilizer, silver overlayer, HTS layer, buffer stack and substrate [59]. FEM (finite element method) models [60]- [63] implemented in COMSOL Multiphysics [64]- [67].…”

Section: B T-a Homogenization Methodsmentioning

confidence: 99%

Combined Impact of Asymmetric Critical Current and Flux Diverters on AC Loss of a 6.5 MVA/25 kV HTS Traction Transformer

Song

Wimbush

et al. 2023

IEEE Trans. Transp. Electrific.

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A 6.5 MVA/25 kV high temperature superconducting (HTS) transformer for the Chinese Fuxing high-speed train has been proposed to replace the oil-based transformers while achieving higher efficiency, lighter weight, and minimized volume. The high targeted efficiency (> 99%) makes AC loss reduction a vital issue. HTS coated conductors generally exhibit asymmetric critical current characteristics as a function of magnetic field angle Ic(B, θ), leading to a non-trivial influence on the AC loss of coil windings. The fastcomputing T-A homogenization method is proposed to calculate the AC loss of the 6.5 MVA/25 kV traction transformer with large turn numbers. The variables, T and A, are the current and magnetic vector potentials, respectively. The AC loss of the transformer windings is analyzed for various coil configurations with and without flux diverters considering Ic(B, θ). At the rated current and 65 K, employing the flux diverters with a square-shape cross-section, the total AC loss is decreased by 73.7% and an extra 150 W loss reduction was also obtained. Moreover, an additional reduction of 37 W is realized upon utilizing the asymmetric Ic(B, θ) characteristic. The reduced 187 W in AC loss at 65 K corresponds to a reduction in ambient power requirement of over 5.6 kW. Therefore, considering asymmetric Ic(B, θ), can lead to a non-trivial reduction in AC loss, even incorporating flux diverters.

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“…In this case, a mesh must be modified depending on the position of mocks captured by the web camera. Some automatic mesh generation methods for the finite element analysis have been proposed [8]- [10]. However, it is difficult to, in real-time, carry out the simulation with such automatic mesh generation methods because it takes long time and large labor to make a mesh.…”

Section: A Mesh Deformation Methods (Steps 3-5)mentioning

confidence: 99%

Real Time Simulation Method of Magnetic Field for Visualization System With Augmented Reality Technology

et al. 2013

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In this paper, we propose a real-time visualization system utilizing Augmented Reality Technology for electromagnetics education. It gives an image of magnetic field generated by a bar magnet with a piece of iron in real-time, however the bar magnet and the piece of iron are represented by mock ones. In the newly proposed visualization system, these mocks are captured by a web camera, and mesh needed in the calculation of magnetic field is deformed. Subsequently, a finite element analysis is carried out in very short time and then the magnetic field is immediately visualized. Thereby, it is, in real-time, observable that magnetic flux lines generated by the bar magnet are attracted to a piece of iron. Moreover, when a user moves the mocks, the magnetic flux lines are immediately depicted according to the position of the mocks.

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Adaptive Mesh Generation Method Utilizing Magnetic Flux Lines in Two-Dimensional Finite Element Analysis

Cited by 17 publications

References 10 publications

Symmetry of Magnetostatic Fields Generated by Toroidal Helicoidal Magnets

Symmetry of Magnetostatic Fields Generated by Toroidal Helicoidal Magnets

Combined Impact of Asymmetric Critical Current and Flux Diverters on AC Loss of a 6.5 MVA/25 kV HTS Traction Transformer

Real Time Simulation Method of Magnetic Field for Visualization System With Augmented Reality Technology

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