READ_ME:
The corresponding 'Beck_Ainslie_TASC_Dataset_7Mar22.xlsx' Excel file contains the supplementary data for the paper "Mitigating ab-plane Critical Current Density Inhomogeneity in Bulk HTS Rings for the Generation of NMR-Grade Magnetic Fields," IEEE Transactions on Applied Superconductivity, DOI: 10.1109/TASC.2022.3155539
The Excel file is organised into sheets as outlined below:
_Sheet_: | _Information_:
Outline | Sheet outlining the ring configurations and which figure data come which sheet.
Probe Data | COMSOL 5.6 calculated probe data for the stack at a time of 120s after magnetising field removal for all configurations and BETA.
| Axial Field strength at position (0,0,0) - stack centre. Units = [T]
| Volume of bore within 1000 ppm (0.1%) of field strength at (0,0,0). Units = [mm^3]
Axial Field of Mid-plane Circle | COMSOL 5.6 parametric curve exported data for the value of the axial field around a curve with radius 4 mm across the central plane of the stack for all configurations and BETA.
| Phi is defined as the angle from the x-axis within the model
| Units = [T]
Axial Field on-axis | COMSOL 5.6 line data exported for a line between -17 and + 17 mm along the axis: x,y = 0 mm for all configurations and BETA.
| Units = [T]
DSV Surface - (i) | COMSOL 5.6 exported parametric surface data for axial field strength on a sphere with radius 4 mm centred on (0,0,0) for configuration (i).
| Phi is defined as the angle from the x-axis within the model, theta is the angle from the positive z-axis.
| Units = [T]
DSV Surface - (ii) | COMSOL 5.6 exported parametric surface data for axial field strength on a sphere with radius 4 mm centred on (0,0,0) for configuration (ii).
| Phi is defined as the angle from the x-axis within the model, theta is the angle from the positive z-axis.
| Units = [T]
DSV Surface - (iii) | COMSOL 5.6 exported parametric surface data for axial field strength on a sphere with radius 4 mm centred on (0,0,0) for configuration (iii).
| Phi is defined as the angle from the x-axis within the model, theta is the angle from the positive z-axis.
| Units = [T]
DSV Surface - (iv) | COMSOL 5.6 exported parametric surface data for axial field strength on a sphere with radius 4 mm centred on (0,0,0) for configuration (iv).
| Phi is defined as the angle from the x-axis within the model, theta is the angle from the positive z-axis.
| Units = [T]
Harmonic Data - (i) | Un-normalised harmonic powers, up to the 8th order, calculated using PySHTools [1], for configuration (i).
| Harmonic powers fitted to a best-fit expansion of the DSV surface field exported from COMSOL, in DSV Surface (i), on a linearly interpolated grid (400,200) in size.
| Expansion performed using "SHExpandDH" routine, and harmonic powers calculated using "SHCoeffs.from_array" routine.
Harmonic Data - (ii) | Un-normalised harmonic powers, up to the 8th order, calculated using PySHTools [1], for configuration (ii).
| Harmonic powers fitted to a best-fit expansion of the DSV surface field exported from COMSOL, in DSV Surface (ii), on a linearly interpolated grid (400,200) in size.
| Expansion performed using "SHExpandDH" routine, and harmonic powers calculated using "SHCoeffs.from_array" routine.
Harmonic Data - (iii) | Un-normalised harmonic powers, up to the 8th order, calculated using PySHTools [1], for configuration (iii).
| Harmonic powers fitted to a best-fit expansion of the DSV surface field exported from COMSOL, in DSV Surface (iii), on a linearly interpolated grid (400,200) in size.
| Expansion performed using "SHExpandDH" routine, and harmonic powers calculated using "SHCoeffs.from_array" routine.
Harmonic Data - (iv) | Un-normalised harmonic powers, up to the 8th order, calculated using PySHTools [1], for configuration (iv).
| Harmonic powers fitted to a best-fit expansion of the DSV surface field exported from COMSOL, in DSV Surface (iv), on a linearly interpolated grid (400,200) in size.
| Expansion performed using "SHExpandDH" routine, and harmonic powers calculated using "SHCoeffs.from_array" routine.
Other notes:
- Configuration (i-iv) are defined as within the paper. A copy of figure 1 - explaining these orientations - is included in the sheet 'Outline'
- BETA is the percentage reduction in Jc between the maximum and minimum values around the ab-plane: when BETA = 0, Jc is homogeneous; BETA = 50, Jc(min) = 0.5*Jc(max)
References:
[1] Mark A. Wieczorek and Matthias Meschede (2018). SHTools — Tools for working with spherical harmonics, Geochemistry, Geophysics, Geosystems, 19, 2574-2592, doi:10.1029/2018GC007529.