Helically Wound Coils for High Field Magnets

Nomura, Shusaku; Ohata, Y.; Hagita, T.; Tsutsui, Hiroaki; Tsuji‐Iio, S.; Shimada, Ryuichi

doi:10.1109/tasc.2004.830080

Cited by 15 publications

(5 citation statements)

References 9 publications

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“…Complicated geometry can be found in the helically wound superconducting cables [19] or magnets [20]. To circumvent the geometric modeling challenge, most of the previous cable models simplified the real geometry by neglecting the twisted configuration of the tapes so that they can be considered as straight parallel conductors [21].…”

Section: Thin Tapesmentioning

confidence: 99%

3D modeling of high-T_csuperconductors by finite element software

Zhang

Coombs

2011

Supercond. Sci. Technol.

162

115

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A three-dimensional (3D) numerical model is proposed to solve the electromagnetic problems involving transport current and background field of a high-T c superconducting (HTS) system. The model is characterized by the E-J power law and H -formulation, and is successfully implemented using finite element software. We first discuss the model in detail, including the mesh methods, boundary conditions and computing time. To validate the 3D model, we calculate the ac loss and trapped field solution for a bulk material and compare the results with the previously verified 2D solutions and an analytical solution. We then apply our model to test some typical problems such as superconducting bulk array and twisted conductors, which cannot be tackled by the 2D models. The new 3D model could be a powerful tool for researchers and engineers to investigate problems with a greater level of complicity.

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Section: Thin Tapesmentioning

confidence: 99%

3D modeling of high-T_csuperconductors by finite element software

Zhang

Coombs

2011

Supercond. Sci. Technol.

162

115

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“…The geodesic on a toroidal surface with a major radius and a minor radius is determined by a variation problem of (10) (11) (12) where is a length of a coil orbit. When we define the Lagrangian ,…”

Section: B Geodesic Windingmentioning

confidence: 99%

“…Next, we manufactured the second coil-frame system [12]- [15] in order to achieve the strong magnetic field. The coils, which are also designed by the modulated winding, can generate strong magnetic field [16] even when the device size is small.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Stress Distribution in Helical Coils With Geodesic Windings Based on Virial Theorem

Tsutsui

Habuchi

Tsuji‐Iio

et al. 2012

IEEE Trans. Appl. Supercond.

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Distributions of stress in helical coils with the geodesic winding based on virial theorem are analyzed theoretically and numerically. A force-balanced coil (FBC) is a multi-pole helical hybrid coil combining toroidal field (TF) coils and a solenoid helically wound on a torus. The combination reduces the net electromagnetic force in the direction of major radius by canceling the centering force due to the TF coil current and the hoop force due to the solenoid current. The FBC concept was extended using the virial theorem which shows that strength of magnetic field is restricted by working stress in the coils and their supporting structure. High-field coils should accordingly have same averaged principal stresses in all directions which is named the virial-limit condition. Recently, we made a model FBC which were neither impregnated with epoxy resin nor reinforced with stainless steel wires. Using acoustic emission measurements, we found that the wires vibrated in response to electromagnetic force changes. Since FBC winding is modulated to reduce the tilting force, the winding is slightly similar to but different from the shortest geodesic trajectory and has no tensile load. In order to reduce the vibration, the geodesic winding is expected to be effective. In this work, we analyze the effect of the winding modulations including the geodesic modulation for the stress distribution of helical windings.

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“…Current-carrying coils are basic elements for constructing electromagnetic magnet systems such as linear actuators and motors [1][2] , or even higher field magnets from high temperature superconductor wires or tapes [3][4][5] , for example, the magnetic resonance imaging (MRI) [6] or nuclear magnetic resonance (NMR) [7] magnet, and the international thermonuclear exprimental reactor (ITER) magnet system [8][9][10] . For the design and safety operation [11] of these magnet systems with current-carrying coils, it is important to accurately calculate the magnetic field of a current-carrying coil and the magnetic force between two coils.…”

Section: Introductionmentioning

confidence: 99%

Analytic calculation of magnetic force between two current-carrying coils

Gou

Qin

2015

Appl. Math. Mech.-Engl. Ed.

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Current-carrying coils are basic elements in electromagnetic equipments, for example, in high field magnets from high temperature superconducting wires or tapes. In the assembly of these systems and their current-carrying operation, unavoidable misalignment and shift from the original position can be induced by disturbances such as the imbalance of magnetic force due to safety problems. For two current-carrying coils with non-coplanar axes, the analytic expression of the magnetic force between the two coils is presented according to the rule of Ampere circulation and the Biot-Savart law. Based on the expression, the dependence of the magnetic force on the size and the relative position of each other is further investigated, and the variation of the magnetic force is obtained with the above parameters.

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Helically Wound Coils for High Field Magnets

Cited by 15 publications

References 9 publications

3D modeling of high-T_csuperconductors by finite element software

3D modeling of high-T_csuperconductors by finite element software

Analysis of Stress Distribution in Helical Coils With Geodesic Windings Based on Virial Theorem

Analytic calculation of magnetic force between two current-carrying coils

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Helically Wound Coils for High Field Magnets

Cited by 15 publications

References 9 publications

3D modeling of high-Tcsuperconductors by finite element software

3D modeling of high-Tcsuperconductors by finite element software

Analysis of Stress Distribution in Helical Coils With Geodesic Windings Based on Virial Theorem

Analytic calculation of magnetic force between two current-carrying coils

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Product

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About

3D modeling of high-T_csuperconductors by finite element software

3D modeling of high-T_csuperconductors by finite element software