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Exotic magnetic response of superconducting wires subject to synchronous and asynchronous oscillating excitations
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10.1063/1.4804931
/content/aip/journal/jap/113/19/10.1063/1.4804931
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/19/10.1063/1.4804931
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Sketch of some of the experimental processes analyzed along Sec. III of this paper. Here, a cylindrical SC wire of radius R is subjected to synchronous oscillating excitations and , of amplitudes and . Hereinafter, units are for , and for .

Image of FIG. 2.
FIG. 2.

Sketch of some of the experimental processes analyzed along Sec. IV of this paper. Here, a cylindrical SC wire subjected to asynchronous oscillating excitations in the configuration shown in pane (a) is considered according to the temporal processes depicted in panes (b) and (c).

Image of FIG. 3.
FIG. 3.

Evolution of the magnetic flux lines and their corresponding profiles of current with simultaneous oscillating sources of amplitudes () and, : , : , : , and : . Subplots are labeled according to the monotonic branch of the experimental processes depicted in Fig. 1 . For visualizing the electromagnetic response in the following branches (cyclic response), including the intensity of the components of magnetic flux density, reader is advised to see the supplementary material (Figs. 1–3 (Ref. )).

Image of FIG. 4.
FIG. 4.

Evolution of the magnetic flux lines (projected isolevels of the vector potential) and their corresponding profiles of current with simultaneous oscillating sources of amplitudes () and, : , : , : , and : . Subplots are labeled according to the monotonic branch of the experimental processes depicted in Fig. 1 , i.e., label (1) identifies the time-step corresponding to half of the first branch, and (2) the first excitation peak. For visualizing the electromagnetic response in the following branches (cyclic response), including the intensity of the components of magnetic flux density, reader is advised to see the supplementary material (Figs. 4–6 (Ref. )).

Image of FIG. 5.
FIG. 5.

Local density of power dissipation · at the time frame of full cycle (step number 10 in Fig. 1 ) for synchronous oscillating sources of amplitudes: () and , () and , () and , () and . The local dynamics for the aforementioned quantities in the full cyclic process including the initial monotonic branch can be inferred from the supplementary figures for the low-field regime (Fig. 10 ), high-field regime (Fig. 11 ), and premagnetized wires (Fig. 12 ). Units are for , for , and for ·.

Image of FIG. 6.
FIG. 6.

The dimensionless magnetic moment for the synchronous ac excitations displayed in Fig. 1 . Curves are shown as function of the injected transport current (), the applied magnetic field , or either by their temporal evolution . In this figure, the amplitudes for the electromagnetic ac sources can be extracted either from color comparison with curves in Fig. 1 , or from the respective limits along the abscissas in left and central panes. Units are for for . Normalization to the full penetration value  = 2/3  is used for .

Image of FIG. 7.
FIG. 7.

Dimensionless magnetic moment as a function of the applied magnetic field for cycles of simultaneous ac excitations and of amplitudes . Although the excitation peak to peak of both sources is assumed to be synchronous, several premagnetized samples have been considered according to: and (see 1st row), for the time instant when the ac current is switched on. Regarding to the cyclic process (i.e., from to 1), several cases are shown accordingly to the amplitudes (see 2nd row), (see 3rd row), and (see 4th row), as well as to 2 (dotted lines), 4 (dashed lines) and 8 (straight lines), respectively.

Image of FIG. 8.
FIG. 8.

Hysteretic ac losses per cycle for synchronous ac magnetic flux density and oscillating transport current of amplitudes accordingly to Figs. 1 and 7 . Numerical results obtained from our variational approach are shown as color solid lines with markers. Comparisons with results from conventional semianalytical approaches are shown for, : separate excitations (red solid line) and (straight color lines), as well as their linear superposition (color dashed lines); : an ac magnetic field together with a dc transport current of intensity , . Units for losses are .

Image of FIG. 9.
FIG. 9.

In the lower pane, the whole set of results shown in Fig. 8 is also plotted in linear scale. The percent change between the actual ac loss numerically calculated and the intuitive approaches and is shown in the central and upper panes, respectively.

Image of FIG. 10.
FIG. 10.

Evolution of the magnetic flux lines and their corresponding profiles of current with asynchronous oscillating sources and of amplitudes and (left side into each pane), accordingly to the temporal processes displayed into Fig. 2(b) “left pane herein” and Fig. 2(c) “right pane herein.” Also the corresponding profiles for the local density of power dissipation · are shown (right side into each pane). In particular, in this figure we show the set of results for the last branch of the dominant excitation according to the time-steps marked with the labels (6), (8), and (10) in Fig. 2 . More details about the follow up of the electromagnetic quantities along the cyclic process are shown in supplementary material, Figs. 13-20. Units are for , for , and for ·.

Image of FIG. 11.
FIG. 11.

The dimensionless magnetic moment for the ac asynchronous excitations displayed in Fig. 2(b) where the applied magnetic field has the role of dominant excitation. Curves are shown as function of the injected transport current in units of their amplitude (), the applied magnetic field , or either by their temporal evolution . Same color scheme to point out the amplitude of the ac magnetic field ( ) has been used in all subplots.

Image of FIG. 12.
FIG. 12.

The dimensionless magnetic moment for the ac asynchronous excitations displayed in Fig. 2(c) where the transport current has the role of dominant excitation. Curves are shown as function of the injected transport current in units of their amplitude (), the applied magnetic field , or either by their temporal evolution . Same color scheme to point out the amplitude of the ac magnetic field ( ) has been used in all subplots.

Image of FIG. 13.
FIG. 13.

Hysteretic ac losses per cycle for asynchronous sources accordingly to the excitations shown in Fig. 2(b) “Herein, : square-solid-lines,” and Fig. 2(c) “Herein, : circle-solid-lines.” The results are compared with the curve of losses for synchronous sources, predicted above (Fig. 8 ), and the curves for isolated excitations and . The whole set of results is also plotted in linear scale. Units for losses are .

Image of FIG. 14.
FIG. 14.

Percent change between the ac loss for synchronous excitations, , and the losses (at the left-side) and (at the right-side), for combinations of three different amplitudes and .

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/content/aip/journal/jap/113/19/10.1063/1.4804931
2013-05-21
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Exotic magnetic response of superconducting wires subject to synchronous and asynchronous oscillating excitations
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/19/10.1063/1.4804931
10.1063/1.4804931
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