Numerically calculated vs (thick solid lines) for a cylinder of radius with a PL expressed by Eq. (1), where , critical current , and index , 10, 20, and 40 are assumed, when is sweeping up with rate . The dashed arrow indicates the direction of increasing . The result for the Bean model is plotted by dotted lines. The thin solid lines show the base lines and solid circles indicate base points . The points corresponding to full penetration currents and are indicated by and , respectively. The points corresponding to 1% of difference between the base line and the directly calculated curve are indicated by open circles.
Profiles of current density for the cases of , 20, 10, and 5 [(a)–(d)] calculated in Fig. 1. Arrows indicate the direction of increasing . In the numerical calculation, 200 cylindrical (tube) elements of equal cross-sectional area have been used. The value is set at the outer radius of each element with uniform .
Magnetic energy vs for the cases presented in Fig. 1. The meanings of symbols are the same as that in Fig. 1.
as a function of for and different values of .
For a tape with an elliptical cross section of semiaxes and and a PL of , , and , the numerically calculated at points and as a function of of sweeping rate . The base line calculated by Eqs. (7) and (8) for the corresponding cylinder is plotted by a thin solid line.
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