Quantitative evaluation of screening currents in Type-II superconductors is highly demanded for design of superconductive devices and machines. However, few research results have ever been reported on numerical approaches to the evaluation so far. Here has been developed a numerical method of solving macroscopic field equations constructed on the basis of the critical state model and simulated are hysteretic forces between a permanent magnet and a high-Tc superconductor. Numerical and experimental results show really good agreements between them. The numerical code developed in the present research can be useful as a computational tool predicting electromagnetic fields in Type-II superconductors.
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References
1.
BeanC.P., Magnlization of high-field superconductors, Reviews of Modern Physics (Jan. 1964) 31–39.
2.
MatsushitaT., Electromagnetic phenomena and hysteresis losses in superconductors, Cryogenics30 (1990) 314–323.
3.
ClemJ.R., Theory of AC losses in Type-II superconductors with a field-dependent surface barrier, J. Appl. Phys.50 (1979) 3518–3530.
4.
ChaddahP., KumarG.R., GrovesA.K., Radhakvish-namurtyC. and SubbaG.V.Rao, Critical state model and the magnetic behavior of high Tc superconductors, Cryogenics29 (1989) 907–914.
5.
HartmanR.A., DijkstraD., van BeckumF.P.H. and van de KlundertL.T.M., Calculations on the current density and the voltage-current relation under AC conditions of filaments, Cryogenics29 (1989) 101–108.
6.
HashizumeH., SugiuraT., MiyaK. and AkitaS., Numerical analysis of coupling loss in superconductor, Cryogenics31 (1991).
7.
SugiuraT., Numerical analysis of screening currents in Type-II superconductors, Dr. thesis, University of Tokyo (1991).
8.
MoonF.C., Magnetic forces in high-Tc superconducting bearings, I.J. of Applied Electromagnetics in Materials1, No. 1 (1990) 29–35.
9.
MoonF.C., YanoviakM.M. and WareiR.Hysteretic leviation forces in superconducting ceramics, Appl. Phys. Lett.52 (1988) 1534–1536.
10.
MurakamiM., MoritaM., DoiK. and MiyamotoK., A new process with the promise of high Jc oxide superconductors, Jpn. J. Appl. Phys. 28-7 (1989) 1189–1194.
11.
MurakamiM.., Large leviation force due to flux pinning in YBaCu O superconductors fabricated by melt-powder-melt-growth process, Jpn. J. Appl. Phys. 29-11 (1990) L1991.
12.
ChariM.V.K., KonradA., . Three-dimensional vector potential analysis for machine field problems, IEEE Trans. on Mag.MAG-18, No. 2 (1982) 436.
13.
PrestonT.W. and ReeceA.B.J., Solution of three-dimensional eddy current problems: the T-Ω-method, IEEE Trans. on Mag.MAG-18 No. 2 (1982) 489.
14.
MiyaK., SugiuraT. and HashizumeH., Three dimensional analysis of eddy current by T-method, Proa IUTAM, Tokyo1986.
15.
Emson C.R.I., results from the 3D eddy current package CARMEN, IUTAM Proc, Tokyo1986.
16.
BossavitA. and VeriteJ.C., The "TRIFOU" code: Solving the 3-D eddy current problem by using H as state variable, IEEE Trans. on Mag.MAG-19, No. 6 (1983) 2465.
17.
AndersonP.W. and KimY.B., Hard superconductivity; Theory of the motion of Abrikoson flux lines, Rev. Modern Physics (Jan. 1964) 39–45.
18.
UrbanE.W., Flux flow and a new critical-current formula, J. Appl. Phys. 42-1 (1971) 115–127.
19.
TsuchimotoM., MiyaK., T. Honma and IgarashiH., Fundamental solutions of the axisymmetric Helmholtz-type equations, Appl. Math. Modelling14 (1990).
20.
WilsonM.N., Superconducting Magnets (Oxford University Press, New York, 1983) pp. 165–170.
