[Table of Contents]

Plasma and Fusion Research

Volume 5, S2112 (2010)

Regular Articles

High Performance Analysis of Shielding Current Density in High Temperature Superconducting Thin Film
Atsushi KAMITANI, Teruou TAKAYAMA and Hiroaki NAKAMURA1)
Yamagata University, Yamagata 992-8510, Japan
National Institute of Fusion Science, Gifu 509-5292, Japan
(Received 8 December 2009 / Accepted 1 March 2010 / Published 10 December 2010)


A high-performance method has been proposed for calculating the shielding current density in a high-temperature 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.


high-temperature superconductor, nonlinear equation, Newton method, Runge-Kutta method, backward Euler method

DOI: 10.1585/pfr.5.S2112


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This paper may be cited as follows:

Atsushi KAMITANI, Teruou TAKAYAMA and Hiroaki NAKAMURA, Plasma Fusion Res. 5, S2112 (2010).