Numerical Simulation of Inductive Method and Permanent-Magnet Method for Measuring Critical Current Density

Kamitani, Atsushi; Takayama, T.; Ikuno, Soichiro

doi:10.1109/tmag.2007.916297

Cited by 16 publications

(21 citation statements)

References 5 publications

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“…After applying the backward Euler method to (5), we get the following discretized equations [1][2][3]:…”

Section: Backward Euler Methodsmentioning

confidence: 99%

“…The execution rate is equal to 100% for the case with N ≤ 13, whereas the time evolution process is terminated due to an overflow for the case with N ≥ 14. On the other hand, the nonlinear strength N has been usually chosen such that N ≥ 16 in the shielding current analysis of a HTS thin film [3]. In this sense, the adaptive step-size control algorithm is not applicable to the shielding current analysis.…”

Section: Runge-kutta Methodsmentioning

confidence: 99%

“…Under the thin-plate approximation, there exists a scalar function S (x, t) such that j = ∇ × [(2S/b)e z ] and its time evolution is governed by the following integraldifferential equation [1][2][3]:…”

Section: Governing Equationsmentioning

confidence: 99%

“…As is well known, the electric field E and the shielding current density j in a HTS thin film are closely related through the J-E constitutive relation. As the relation, we assume the power law [3]:…”

Section: Governing Equationsmentioning

confidence: 99%

“…If implicit schemes such as the backward Euler method have been applied to the system, the nonlinear equations have to be solved at each time step [1][2][3]. However, the nonlinear equations are extremely time-consuming because of a linear term with a dense, symmetric and indefinite matrix.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

High Performance Analysis of Shielding Current Density in High Temperature Superconducting Thin Film

Kamitani

Takayama

Nakamura

2010

Plasma and Fusion Research

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A high-performance method has been proposed for calculating the shielding current density in a hightemperature superconducting thin film. After spatially discretized, the initial-boundary-value problem of the shielding current density is reduced to a system of first-order ordinary differential equations that has a strong nonlinearity. However, the system cannot be always solved by means of the Runge-Kutta method even when an adaptive step-size control algorithm is incorporated to the method. In order to suppress an overflow in the algorithm, the following method is proposed: the J-E constitutive relation is modified so that its solution may satisfy the original constitutive relation. A numerical code for analyzing the shielding current density has been developed on the basis of the proposed method and the inductive method has been investigated by use of the code.

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“…After applying the backward Euler method to (5), we get the following discretized equations [1][2][3]:…”

Section: Backward Euler Methodsmentioning

confidence: 99%

Section: Runge-kutta Methodsmentioning

confidence: 99%

Section: Governing Equationsmentioning

confidence: 99%

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%