TJ-II:Magnetic configuration: Difference between revisions
Created page with "The magnetic configurations of the low shear stellarator TJ-II in vacuum are specified by a label consisting of 3 numbers: X_Y_Z. These numbers represent the currents flowing in the external coils. * X is the current in the helical coil (HX, in kA) times 10 * Y is the current in the circular coil (CC, in kA) times 10 * Z is the current in the vertical field coil (VF, in kA) times 10 The current in the toroidal field coils (TF) is not specified,..." |
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The plasma size r<sub>av</sub> increases with <math>I_{CC}+I_{HX}</math>, so that reasonably-sized plasmas are limited to the upper right triangle of this diagram. | The plasma size r<sub>av</sub> increases with <math>I_{CC}+I_{HX}</math>, so that reasonably-sized plasmas are limited to the upper right triangle of this diagram. | ||
Only | Only part of the available range of configurations has been explored experimentally. One can cite: | ||
* The so-called well scan experiments<ref>J. Castellano, J. Jiménez, C. Hidalgo, M. Pedrosa, A. Fraguas, I. Pastor, J. Herranz, C. Alejaldre, and the TJ-II Team. ''Magnetic well and instability thresholds in the TJ-II stellarator''. [[doi:10.1063/1.1430435|Phys. Plasmas, 9(2):713,2002]].</ref><ref>A.M. de Aguilera, F. Castejón, E. Ascasíbar, E. Blanco, E. de la Cal, C. Hidalgo, B. Liu, A. López- | |||
Fraguas, F. Medina, M.A. Ochando, I. Pastor, M.A. Pedrosa, B. van Milligen, and the TJ-II Team. ''Magnetic well scan and confinement in the TJ-II stellarator''. [[doi:10.1088/0029-5515/55/11/113014|Nucl. Fusion, 55(11):113014, 2015]].</ref>. | Fraguas, F. Medina, M.A. Ochando, I. Pastor, M.A. Pedrosa, B. van Milligen, and the TJ-II Team. ''Magnetic well scan and confinement in the TJ-II stellarator''. [[doi:10.1088/0029-5515/55/11/113014|Nucl. Fusion, 55(11):113014, 2015]].</ref>. | ||
* Shot-by-shot configuration scans at constant shear<ref>V. Vargas, D. López-Bruna, J. Herranz, and F. Castejón. ''Experimental electron heat diffusion in ECH plasmas of the TJ-II stellarator''. [[doi:10.1088/0029-5515/47/9/039|Nucl. Fusion, 47:1367, 2007]].</ref><ref>B.Ph. van Milligen, J.H. Nicolau, L. García, B.A. Carreras, C. Hidalgo, and the TJ-II Team. ''The impact of rational surfaces on radial heat transport in TJ-II''. [[doi:10.1088/1741-4326/aa611f|Nucl. Fusion, 57(5):056028, 2017]].</ref>. | |||
* Dynamic single-shot configuration scans<ref>D. López-Bruna, J. Romero, R. Jiménez-Gómez, M. Pedrosa, M. Ochando, T. Estrada, A. López-Fraguas, F. Medina, J. Herranz, T. Kalhoff, E. Ascasíbar, A. de la Peña, F. Lapayese, and J. Alonso. ''First dynamic magnetic configuration scans in ECRH plasmas of the TJ-II heliac''. [[doi:10.1088/0029-5515/49/8/085016|Nucl. Fusion, 49:085016, 2009]].</ref><ref>J. Romero, L. Pacios, A. de la Peña, F. Lapayese, and E. Ascasíbar. ''Magnetic configuration sweep control in heliac type stellarators''. [[doi:10.1088/0029-5515/54/4/043008|Nucl. Fusion, 54:043008, 2014]].</ref>. | |||
Furthermore, the impact of the magnetic configuration on enhanced confinement has been studied<ref>Boudewijn Philip van Milligen, Teresa Estrada, Benjamin Carreras, Luis García, and TJ-II Team. ''Importance of the rotational transform for L–H transitions in the TJ-II stellarator''. [[doi:10.3390/plasma7020024|Plasma, 7(2):446–464, 2024]].</ref><ref>B.Ph. van Milligen, I. García-Cortés, K.J. McCarthy, B.A. Carreras, L. García, A. Cappa, P. Pons- | |||
Villalonga, T. Estrada, D. Medina-Roque, J. Hernández Sánchez, R. García, O.S. Kozachok, O.O. Chmyga, J.L. de Pablos, J.M. Barcala, A. Molinero, I. Pastor, D. Tafalla, A. de la Peña, F. Lapayese, and the TJ-II Team. ''The rotational transform and enhanced confinement in the TJ-II stellarator''. [[doi:10.1017/S0022377825100433|J. Plasma Phys., 91(4):E98, 2025]].</ref>. | |||
== See also == | == See also == | ||
Latest revision as of 08:17, 3 November 2026
The magnetic configurations of the low shear stellarator TJ-II in vacuum are specified by a label consisting of 3 numbers: X_Y_Z. These numbers represent the currents flowing in the external coils.
- X is the current in the helical coil (HX, in kA) times 10
- Y is the current in the circular coil (CC, in kA) times 10
- Z is the current in the vertical field coil (VF, in kA) times 10
The current in the toroidal field coils (TF) is not specified, as it is defined implicitly by requiring that the magnetic field equals 0.95 T at the magnetic axis in the relevant poloidal cross sections (where ECRH is injected) in order to ensure central power deposition.
A wide range of configurations is available. The following table lists a number of them.
| Configuration | rav(cm) | Bm,av (T) | Breson (T) | Rax(0°) (m) | Rax(45°) (m) | Shear (%) | Well (%) | ||
|---|---|---|---|---|---|---|---|---|---|
| 0_20_13 | 1.139 | 1.185 | 1.194 | 1.033 | 0.9504 | 1.644 | 1.374 | 0.7793 | 5.7521E-02 |
| 0_30_15 | 4.228 | 1.518 | 1.698 | 1.019 | 0.9500 | 1.658 | 1.360 | 11.85 | 1.050 |
| 0_40_18 | 5.903 | 1.756 | 2.003 | 1.008 | 0.9505 | 1.671 | 1.347 | 14.09 | 1.217 |
| 0_50_22 | 6.480 | 1.936 | 2.230 | 0.9973 | 0.9502 | 1.682 | 1.336 | 15.17 | 2.481 |
| 0_60_26 | 8.500 | 2.073 | 2.399 | 0.9885 | 0.9502 | 1.692 | 1.326 | 15.70 | 3.218 |
| 0_70_29 | 7.147 | 2.187 | 2.434 | 0.9805 | 0.9503 | 1.701 | 1.317 | 11.30 | 2.985 |
| 0_80_34 | 6.902 | 2.284 | 2.469 | 0.9736 | 0.9506 | 1.710 | 1.308 | 8.084 | 2.735 |
| 0_90_38 | 6.738 | 2.366 | 2.514 | 0.9663 | 0.9503 | 1.719 | 1.299 | 6.269 | 2.534 |
| 0_100_42 | 12.59 | 2.436 | 2.667 | 0.9601 | 0.9505 | 1.727 | 1.291 | 9.493 | 4.643 |
| 0_110_46 | 10.67 | 2.493 | 2.667 | 0.9539 | 0.9503 | 1.734 | 1.284 | 6.980 | 4.554 |
| 0_120_50 | 12.71 | 2.548 | 2.667 | 0.9482 | 0.9504 | 1.742 | 1.276 | 4.683 | 4.272 |
| 10_20_18 | 2.557 | 1.148 | 1.184 | 1.024 | 0.9514 | 1.652 | 1.366 | 3.183 | 0.2469 |
| 10_30_20 | 6.083 | 1.438 | 1.602 | 1.010 | 0.9501 | 1.666 | 1.352 | 11.35 | 1.398 |
| 10_40_24 | 6.921 | 1.659 | 1.880 | 1.000 | 0.9504 | 1.678 | 1.340 | 13.34 | 2.751 |
| 10_50_27 | 8.140 | 1.826 | 1.997 | 0.9909 | 0.9504 | 1.688 | 1.329 | 9.321 | 3.241 |
| 10_60_31 | 9.350 | 1.965 | 2.183 | 0.9826 | 0.9505 | 1.698 | 1.319 | 11.11 | 3.084 |
| 10_70_35 | 10.10 | 2.077 | 2.288 | 0.9750 | 0.9505 | 1.707 | 1.310 | 10.16 | 3.597 |
| 10_80_38 | 9.810 | 2.174 | 2.371 | 0.9674 | 0.9502 | 1.716 | 1.302 | 9.037 | 3.908 |
| 10_90_42 | 10.54 | 2.257 | 2.434 | 0.9610 | 0.9503 | 1.724 | 1.294 | 7.851 | 4.281 |
| 10_100_47 | 10.21 | 2.327 | 2.482 | 0.9546 | 0.9502 | 1.732 | 1.286 | 6.647 | 4.236 |
| 10_110_51 | 11.11 | 2.395 | 2.547 | 0.9488 | 0.9501 | 1.740 | 1.278 | 6.331 | 5.121 |
| 10_120_55 | 10.04 | 2.451 | 2.565 | 0.9432 | 0.9502 | 1.747 | 1.271 | 4.674 | 4.426 |
| 20_10_21 | 1.213 | 0.7902 | 0.7956 | 1.028 | 0.9503 | 1.645 | 1.373 | 0.6830 | 3.7624E-02 |
| 20_20_22 | 3.952 | 1.136 | 1.185 | 1.014 | 0.9500 | 1.661 | 1.357 | 4.350 | 0.4717 |
| 20_30_25 | 6.779 | 1.395 | 1.521 | 1.003 | 0.9502 | 1.673 | 1.344 | 9.049 | 1.550 |
| 20_40_28 | 8.475 | 1.592 | 1.771 | 0.9922 | 0.9498 | 1.685 | 1.333 | 11.25 | 2.879 |
| 20_50_32 | 8.039 | 1.756 | 1.906 | 0.9842 | 0.9505 | 1.695 | 1.323 | 8.571 | 3.131 |
| 20_60_35 | 11.21 | 1.884 | 1.997 | 0.9755 | 0.9498 | 1.705 | 1.313 | 5.968 | 1.980 |
| 20_70_39 | 11.08 | 1.994 | 2.154 | 0.9689 | 0.9504 | 1.714 | 1.304 | 7.982 | 3.385 |
| 20_80_43 | 12.14 | 2.092 | 2.255 | 0.9614 | 0.9497 | 1.722 | 1.296 | 7.811 | 4.133 |
| 20_90_47 | 12.83 | 2.174 | 2.324 | 0.9558 | 0.9503 | 1.730 | 1.288 | 6.862 | 4.713 |
| 20_100_51 | 12.68 | 2.246 | 2.379 | 0.9498 | 0.9503 | 1.738 | 1.280 | 5.945 | 4.930 |
| 20_110_55 | 13.79 | 2.313 | 2.434 | 0.9443 | 0.9505 | 1.745 | 1.273 | 5.248 | 5.117 |
| 20_120_59 | 13.91 | 2.368 | 2.483 | 0.9386 | 0.9502 | 1.752 | 1.265 | 4.822 | 5.418 |
| 30_10_25 | 2.709 | 0.8385 | 0.8507 | 1.018 | 0.9501 | 1.654 | 1.363 | 1.452 | 0.1431 |
| 30_20_27 | 5.443 | 1.134 | 1.189 | 1.007 | 0.9514 | 1.669 | 1.349 | 4.847 | 0.7001 |
| 30_30_30 | 8.180 | 1.368 | 1.481 | 0.9956 | 0.9506 | 1.681 | 1.337 | 8.332 | 1.733 |
| 30_40_33 | 9.756 | 1.550 | 1.687 | 0.9860 | 0.9503 | 1.692 | 1.326 | 8.877 | 2.798 |
| 30_50_37 | 11.16 | 1.702 | 1.878 | 0.9779 | 0.9503 | 1.702 | 1.316 | 10.37 | 4.941 |
| 30_60_40 | 9.262 | 1.827 | 1.936 | 0.9706 | 0.9505 | 1.711 | 1.307 | 5.952 | 3.624 |
| 30_70_44 | 12.28 | 1.937 | 2.007 | 0.9631 | 0.9502 | 1.720 | 1.298 | 3.593 | 4.431 |
| 30_80_48 | 13.28 | 2.033 | 2.149 | 0.9567 | 0.9502 | 1.728 | 1.290 | 5.702 | 3.674 |
| 30_90_52 | 14.16 | 2.115 | 2.231 | 0.9504 | 0.9501 | 1.736 | 1.282 | 5.476 | 4.227 |
| 30_100_56 | 14.97 | 2.187 | 2.295 | 0.9448 | 0.9502 | 1.743 | 1.275 | 4.949 | 4.755 |
| 30_110_59 | 15.76 | 2.246 | 2.356 | 0.9391 | 0.9500 | 1.751 | 1.267 | 4.920 | 5.215 |
| 30_120_63 | 14.48 | 2.306 | 2.389 | 0.9343 | 0.9504 | 1.758 | 1.260 | 3.573 | 5.025 |
| 40_00_27 | 1.350 | 0.5464 | 0.5471 | 1.024 | 0.9504 | 1.647 | 1.371 | 0.1331 | 2.4768E-02 |
| 40_10_29 | 4.111 | 0.8821 | 0.9010 | 1.010 | 0.9510 | 1.663 | 1.355 | 2.152 | 0.2456 |
| 40_20_31 | 6.646 | 1.146 | 1.202 | 0.9975 | 0.9501 | 1.677 | 1.341 | 4.928 | 0.8185 |
| 40_30_34 | 9.328 | 1.354 | 1.452 | 0.9884 | 0.9506 | 1.688 | 1.330 | 7.247 | 1.826 |
| 40_40_37 | 11.15 | 1.523 | 1.646 | 0.9788 | 0.9498 | 1.699 | 1.319 | 8.061 | 2.901 |
| 40_50_41 | 12.66 | 1.666 | 1.797 | 0.9719 | 0.9506 | 1.708 | 1.310 | 7.872 | 4.310 |
| 40_60_44 | 12.34 | 1.786 | 1.927 | 0.9637 | 0.9497 | 1.717 | 1.301 | 7.879 | 5.834 |
| 40_70_48 | 9.734 | 1.894 | 1.963 | 0.9579 | 0.9504 | 1.726 | 1.292 | 3.625 | 3.668 |
| 40_80_52 | 13.96 | 1.986 | 2.067 | 0.9515 | 0.9503 | 1.734 | 1.284 | 4.054 | 3.028 |
| 40_90_56 | 15.39 | 2.062 | 2.156 | 0.9457 | 0.9504 | 1.741 | 1.277 | 4.529 | 3.841 |
| 40_100_60 | 16.40 | 2.132 | 2.232 | 0.9400 | 0.9502 | 1.749 | 1.269 | 4.683 | 4.355 |
| 40_110_64 | 18.12 | 2.199 | 2.288 | 0.9348 | 0.9503 | 1.756 | 1.262 | 4.049 | 4.651 |
| 40_120_68 | 16.81 | 2.256 | 2.327 | 0.9295 | 0.9501 | 1.763 | 1.255 | 3.158 | 4.904 |
| 50_00_31 | 2.818 | 0.6329 | 0.6375 | 1.013 | 0.9498 | 1.657 | 1.361 | 0.7286 | 6.1871E-02 |
| 50_10_33 | 5.588 | 0.9254 | 0.9532 | 1.001 | 0.9506 | 1.672 | 1.346 | 3.003 | 0.3605 |
| 50_20_36 | 8.222 | 1.160 | 1.216 | 0.9902 | 0.9502 | 1.684 | 1.334 | 4.838 | 1.060 |
| 50_30_39 | 10.67 | 1.352 | 1.435 | 0.9815 | 0.9505 | 1.695 | 1.323 | 6.163 | 2.008 |
| 50_40_42 | 12.44 | 1.508 | 1.609 | 0.9733 | 0.9504 | 1.705 | 1.313 | 6.719 | 2.910 |
| 50_50_46 | 13.94 | 1.644 | 1.758 | 0.9661 | 0.9505 | 1.714 | 1.303 | 6.944 | 4.001 |
| 50_60_49 | 15.09 | 1.757 | 1.887 | 0.9587 | 0.9502 | 1.723 | 1.295 | 7.390 | 6.217 |
| 50_70_53 | 13.03 | 1.855 | 1.955 | 0.9524 | 0.9502 | 1.731 | 1.287 | 5.353 | 5.830 |
| 50_80_56 | 16.73 | 1.949 | 2.004 | 0.9463 | 0.9501 | 1.739 | 1.279 | 2.807 | 4.003 |
| 50_90_60 | 16.70 | 2.011 | 2.101 | 0.9407 | 0.9502 | 1.747 | 1.271 | 4.501 | 3.444 |
| 50_100_64 | 18.15 | 2.090 | 2.183 | 0.9351 | 0.9500 | 1.754 | 1.264 | 4.434 | 3.907 |
| 50_110_68 | 17.53 | 2.154 | 2.223 | 0.9297 | 0.9498 | 1.762 | 1.256 | 3.205 | 4.270 |
| 50_120_72 | 19.13 | 2.213 | 2.288 | 0.9250 | 0.9501 | 1.768 | 1.250 | 3.417 | 4.378 |
| 60_00_35 | 4.247 | 0.7126 | 0.7205 | 1.003 | 0.9498 | 1.667 | 1.352 | 1.108 | 0.1270 |
| 60_10_37 | 6.862 | 0.9679 | 1.002 | 0.9934 | 0.9509 | 1.680 | 1.338 | 3.520 | 0.4827 |
| 60_20_40 | 9.669 | 1.179 | 1.240 | 0.9831 | 0.9503 | 1.692 | 1.326 | 5.202 | 1.236 |
| 60_30_43 | 12.01 | 1.354 | 1.435 | 0.9747 | 0.9502 | 1.702 | 1.316 | 5.973 | 2.132 |
| 60_40_46 | 13.48 | 1.500 | 1.593 | 0.9672 | 0.9503 | 1.712 | 1.306 | 6.170 | 2.806 |
| 60_50_50 | 15.36 | 1.627 | 1.732 | 0.9601 | 0.9504 | 1.721 | 1.297 | 6.467 | 3.895 |
| 60_60_53 | 16.79 | 1.734 | 1.851 | 0.9528 | 0.9499 | 1.729 | 1.289 | 6.731 | 5.666 |
| 60_70_57 | 15.88 | 1.829 | 1.934 | 0.9473 | 0.9502 | 1.737 | 1.281 | 5.736 | 6.958 |
| 60_80_61 | 13.66 | 1.918 | 1.968 | 0.9428 | 0.9514 | 1.745 | 1.273 | 2.622 | 4.555 |
| 60_90_64 | 17.29 | 2.009 | 2.063 | 0.9359 | 0.9501 | 1.753 | 1.265 | 2.640 | 1.637 |
| 60_100_68 | 17.62 | 2.049 | 2.122 | 0.9304 | 0.9497 | 1.760 | 1.258 | 3.560 | 3.718 |
| 60_110_72 | 17.50 | 2.118 | 2.177 | 0.9257 | 0.9501 | 1.767 | 1.251 | 2.811 | 4.023 |
| 60_120_76 | 17.78 | 2.174 | 2.222 | 0.9217 | 0.9510 | 1.774 | 1.244 | 2.209 | 4.211 |
| 70_00_39 | 5.731 | 0.7825 | 0.7975 | 0.9949 | 0.9497 | 1.675 | 1.343 | 1.908 | 0.2335 |
| 70_10_41 | 8.418 | 1.009 | 1.048 | 0.9860 | 0.9509 | 1.688 | 1.330 | 3.845 | 0.6755 |
| 70_20_44 | 11.09 | 1.201 | 1.265 | 0.9767 | 0.9504 | 1.699 | 1.319 | 5.345 | 1.317 |
| 70_30_47 | 13.41 | 1.361 | 1.441 | 0.9688 | 0.9504 | 1.709 | 1.309 | 5.859 | 2.187 |
| 70_40_51 | 14.99 | 1.496 | 1.591 | 0.9615 | 0.9503 | 1.718 | 1.300 | 6.348 | 2.859 |
| 70_50_54 | 16.87 | 1.617 | 1.712 | 0.9543 | 0.9501 | 1.727 | 1.291 | 5.843 | 3.756 |
| 70_60_57 | 17.89 | 1.718 | 1.823 | 0.9479 | 0.9500 | 1.735 | 1.283 | 6.140 | 4.746 |
| 70_70_61 | 18.26 | 1.812 | 1.928 | 0.9423 | 0.9503 | 1.743 | 1.275 | 6.353 | 6.812 |
| 70_80_65 | 16.37 | 1.896 | 1.962 | 0.9363 | 0.9499 | 1.751 | 1.267 | 3.469 | 5.948 |
| 70_90_68 | 9.135 | 1.980 | 1.988 | 0.9317 | 0.9506 | 1.758 | 1.260 | 0.3692 | 0.1186 |
| 70_100_72 | 18.64 | 2.007 | 2.094 | 0.9267 | 0.9506 | 1.765 | 1.253 | 4.327 | 3.356 |
| 70_110_76 | 18.23 | 2.088 | 2.147 | 0.9219 | 0.9507 | 1.772 | 1.246 | 2.792 | 3.707 |
| 70_120_80 | 17.89 | 2.145 | 2.184 | 0.9171 | 0.9506 | 1.779 | 1.239 | 1.846 | 4.043 |
| 80_00_42 | 7.247 | 0.8436 | 0.8697 | 0.9869 | 0.9497 | 1.684 | 1.335 | 3.094 | 0.2402 |
| 80_10_45 | 9.865 | 1.049 | 1.095 | 0.9794 | 0.9513 | 1.695 | 1.323 | 4.371 | 0.7359 |
| 80_20_48 | 12.28 | 1.226 | 1.290 | 0.9697 | 0.9500 | 1.706 | 1.312 | 5.206 | 1.327 |
| 80_30_51 | 14.38 | 1.370 | 1.454 | 0.9626 | 0.9503 | 1.715 | 1.303 | 6.088 | 2.102 |
| 80_40_54 | 16.47 | 1.500 | 1.594 | 0.9549 | 0.9497 | 1.724 | 1.294 | 6.263 | 2.799 |
| 80_50_58 | 17.63 | 1.612 | 1.706 | 0.9492 | 0.9503 | 1.733 | 1.285 | 5.842 | 3.329 |
| 80_60_61 | 18.84 | 1.712 | 1.814 | 0.9436 | 0.9507 | 1.741 | 1.277 | 5.984 | 3.990 |
| 80_70_65 | 19.27 | 1.799 | 1.898 | 0.9372 | 0.9501 | 1.749 | 1.269 | 5.555 | 4.728 |
| 80_80_69 | 17.96 | 1.880 | 1.935 | 0.9321 | 0.9503 | 1.756 | 1.262 | 2.921 | 3.774 |
| 80_90_73 | 13.42 | 1.957 | 1.982 | 0.9266 | 0.9500 | 1.764 | 1.254 | 1.312 | 0.6938 |
| 80_100_76 | 18.53 | 2.008 | 2.065 | 0.9220 | 0.9504 | 1.770 | 1.247 | 2.839 | 1.773 |
| 80_110_80 | 18.41 | 2.059 | 2.117 | 0.9176 | 0.9507 | 1.777 | 1.241 | 2.847 | 3.632 |
| 80_120_84 | 18.26 | 2.117 | 2.157 | 0.9122 | 0.9496 | 1.784 | 1.234 | 1.872 | 3.986 |
| 90_00_46 | 8.679 | 0.9022 | 0.9354 | 0.9802 | 0.9501 | 1.691 | 1.327 | 3.678 | 0.3981 |
| 90_10_49 | 11.45 | 1.090 | 1.146 | 0.9717 | 0.9502 | 1.702 | 1.315 | 5.148 | 0.8099 |
| 90_20_52 | 12.44 | 1.247 | 1.323 | 0.9640 | 0.9503 | 1.712 | 1.305 | 6.100 | 1.079 |
| 90_30_55 | 16.14 | 1.383 | 1.475 | 0.9571 | 0.9504 | 1.722 | 1.296 | 6.607 | 2.158 |
| 90_40_58 | 17.45 | 1.506 | 1.597 | 0.9499 | 0.9501 | 1.731 | 1.287 | 6.012 | 2.629 |
| 90_50_62 | 18.70 | 1.609 | 1.706 | 0.9438 | 0.9501 | 1.739 | 1.279 | 6.003 | 2.901 |
| 90_60_65 | 18.77 | 1.703 | 1.789 | 0.9381 | 0.9502 | 1.747 | 1.271 | 5.045 | 3.047 |
| 90_70_69 | 18.43 | 1.787 | 1.852 | 0.9324 | 0.9500 | 1.754 | 1.263 | 3.623 | 3.117 |
| 90_80_73 | 17.72 | 1.868 | 1.909 | 0.9269 | 0.9497 | 1.762 | 1.256 | 2.217 | 2.354 |
| 90_90_76 | 14.40 | 1.940 | 1.956 | 0.9221 | 0.9499 | 1.769 | 1.249 | 0.8079 | 0.8326 |
| 90_100_80 | 18.53 | 2.009 | 2.038 | 0.9176 | 0.9503 | 1.776 | 1.242 | 1.484 | 1.095 |
| 90_110_84 | 18.97 | 2.021 | 2.094 | 0.9129 | 0.9502 | 1.783 | 1.235 | 3.625 | 3.669 |
| 90_120_88 | 17.79 | 2.090 | 2.129 | 0.9077 | 0.9494 | 1.789 | 1.229 | 1.827 | 3.862 |
| 100_00_50 | 10.07 | 0.9544 | 0.9970 | 0.9732 | 0.9499 | 1.699 | 1.319 | 4.471 | 0.4341 |
| 100_10_53 | 12.78 | 1.127 | 1.186 | 0.9649 | 0.9499 | 1.710 | 1.308 | 5.262 | 0.9629 |
| 100_16_55 | 13.69 | 1.215 | 1.287 | 0.9610 | 0.9501 | 1.715 | 1.302 | 5.901 | 1.023 |
| 100_20_56 | 10.86 | 1.271 | 1.324 | 0.9583 | 0.9502 | 1.719 | 1.299 | 4.120 | 0.8295 |
| 100_22_56 | 15.40 | 1.309 | 1.381 | 0.9412 | 0.9362 | 1.722 | 1.296 | 5.552 | 1.648 |
| 100_24_58 | 15.90 | 1.326 | 1.406 | 0.9552 | 0.9499 | 1.722 | 1.295 | 6.105 | 1.792 |
| 100_26_58 | 16.42 | 1.352 | 1.435 | 0.9538 | 0.9499 | 1.724 | 1.293 | 6.137 | 1.888 |
| 100_28_59 | 17.07 | 1.375 | 1.464 | 0.9527 | 0.9501 | 1.726 | 1.291 | 6.475 | 1.983 |
| 100_30_59 | 17.29 | 1.398 | 1.490 | 0.9511 | 0.9500 | 1.728 | 1.289 | 6.561 | 2.075 |
| 100_32_60 | 17.74 | 1.423 | 1.517 | 0.9499 | 0.9499 | 1.730 | 1.288 | 6.596 | 2.165 |
| 100_36_61 | 18.37 | 1.467 | 1.567 | 0.9475 | 0.9501 | 1.733 | 1.284 | 6.819 | 2.183 |
| 100_40_63 | 18.77 | 1.509 | 1.608 | 0.9450 | 0.9500 | 1.736 | 1.281 | 6.553 | 2.304 |
| 100_44_64 | 19.25 | 1.551 | 1.653 | 0.9426 | 0.9500 | 1.740 | 1.278 | 6.569 | 2.360 |
| 100_48_65 | 19.16 | 1.591 | 1.684 | 0.9400 | 0.9500 | 1.743 | 1.275 | 5.807 | 2.555 |
| 100_50_65 | 19.11 | 1.613 | 1.704 | 0.9381 | 0.9501 | 1.745 | 1.274 | 5.628 | 2.649 |
| 100_55_67 | 19.04 | 1.659 | 1.739 | 0.9352 | 0.9500 | 1.749 | 1.270 | 4.839 | 2.808 |
| 100_56_67 | 18.93 | 1.667 | 1.742 | 0.9347 | 0.9501 | 1.750 | 1.269 | 4.522 | 2.692 |
| 100_60_68 | 19.04 | 1.702 | 1.775 | 0.9325 | 0.9500 | 1.753 | 1.266 | 4.326 | 2.720 |
| 100_64_70 | 18.76 | 1.733 | 1.799 | 0.9303 | 0.9500 | 1.756 | 1.263 | 3.774 | 2.676 |
| 100_68_72 | 18.46 | 1.771 | 1.825 | 0.9279 | 0.9494 | 1.759 | 1.259 | 3.080 | 2.452 |
| 100_70_73 | 18.23 | 1.784 | 1.841 | 0.9277 | 0.9500 | 1.760 | 1.258 | 3.166 | 2.452 |
| 100_80_77 | 16.73 | 1.855 | 1.885 | 0.9261 | 0.9532 | 1.767 | 1.251 | 1.617 | 1.818 |
| 100_90_80 | 13.86 | 1.931 | 1.936 | 0.9172 | 0.9494 | 1.774 | 1.244 | 0.2833 | 0.7382 |
| 100_95_82 | 11.27 | 1.967 | 1.964 | 0.9243 | 0.9582 | 1.777 | 1.241 | -0.1435 | 6.8954E-02 |
| 100_105_86 | 16.96 | 2.019 | 2.045 | 0.9233 | 0.9617 | 1.783 | 1.235 | 1.268 | 1.425 |
| 100_110_88 | 18.88 | 2.020 | 2.073 | 0.9229 | 0.9634 | 1.786 | 1.232 | 2.618 | 2.366 |
| 100_120_92 | 17.63 | 2.064 | 2.113 | 0.9044 | 0.9501 | 1.794 | 1.224 | 2.379 | 3.790 |
| 110_00_54 | 11.70 | 1.006 | 1.060 | 0.9663 | 0.9498 | 1.706 | 1.312 | 5.370 | 0.4642 |
| 110_10_57 | 13.97 | 1.160 | 1.232 | 0.9593 | 0.9502 | 1.716 | 1.301 | 6.136 | 0.8247 |
| 110_20_60 | 15.75 | 1.298 | 1.372 | 0.9526 | 0.9504 | 1.726 | 1.292 | 5.739 | 1.330 |
| 110_30_63 | 18.56 | 1.415 | 1.516 | 0.9455 | 0.9500 | 1.734 | 1.284 | 7.122 | 1.849 |
| 110_40_66 | 19.50 | 1.521 | 1.622 | 0.9398 | 0.9503 | 1.743 | 1.275 | 6.602 | 1.921 |
| 110_50_70 | 19.07 | 1.618 | 1.696 | 0.9336 | 0.9498 | 1.751 | 1.267 | 4.873 | 2.085 |
| 110_60_73 | 18.32 | 1.702 | 1.761 | 0.9291 | 0.9507 | 1.758 | 1.260 | 3.471 | 2.033 |
| 110_70_77 | 17.13 | 1.782 | 1.816 | 0.9237 | 0.9504 | 1.766 | 1.252 | 1.948 | 1.838 |
| 110_80_81 | 15.56 | 1.853 | 1.871 | 0.9192 | 0.9508 | 1.773 | 1.245 | 0.9878 | 1.332 |
| 110_90_84 | 13.12 | 1.923 | 1.926 | 0.9142 | 0.9506 | 1.780 | 1.238 | 0.1639 | 0.5301 |
| 110_95_86 | 10.73 | 1.963 | 1.955 | 0.9095 | 0.9486 | 1.783 | 1.235 | -0.3746 | 8.1449E-04 |
| 110_110_92 | 17.29 | 2.020 | 2.055 | 0.9056 | 0.9509 | 1.793 | 1.225 | 1.768 | 2.045 |
| 110_120_95 | 17.55 | 2.048 | 2.095 | 0.9014 | 0.9510 | 1.799 | 1.219 | 2.314 | 3.774 |
| 120_00_57 | 13.14 | 1.050 | 1.117 | 0.9599 | 0.9497 | 1.714 | 1.305 | 6.304 | 0.4861 |
| 120_10_60 | 14.81 | 1.196 | 1.268 | 0.9534 | 0.9501 | 1.723 | 1.295 | 6.054 | 0.8382 |
| 120_20_63 | 17.57 | 1.323 | 1.409 | 0.9458 | 0.9494 | 1.732 | 1.286 | 6.504 | 1.409 |
| 120_30_67 | 19.50 | 1.435 | 1.539 | 0.9407 | 0.9503 | 1.741 | 1.277 | 7.263 | 1.529 |
| 120_40_70 | 19.38 | 1.534 | 1.621 | 0.9335 | 0.9492 | 1.749 | 1.269 | 5.695 | 1.632 |
| 120_50_74 | 18.34 | 1.621 | 1.684 | 0.9294 | 0.9503 | 1.756 | 1.262 | 3.910 | 1.864 |
| 120_60_77 | 17.24 | 1.703 | 1.743 | 0.9246 | 0.9507 | 1.764 | 1.254 | 2.381 | 1.733 |
| 120_70_81 | 16.02 | 1.780 | 1.803 | 0.9197 | 0.9509 | 1.771 | 1.247 | 1.312 | 1.511 |
| 120_80_84 | 14.49 | 1.850 | 1.860 | 0.9150 | 0.9509 | 1.778 | 1.240 | 0.5347 | 1.076 |
| 120_90_88 | 12.18 | 1.918 | 1.918 | 0.9096 | 0.9501 | 1.785 | 1.233 | -4.1127E-02 | 0.3613 |
| 120_95_90 | 10.06 | 1.957 | 1.950 | 0.9071 | 0.9499 | 1.788 | 1.230 | -0.3241 | 0.000 |
| 120_115_97 | 16.46 | 2.020 | 2.066 | 0.8983 | 0.9497 | 1.801 | 1.216 | 2.258 | 2.404 |
| 120_120_99 | 17.58 | 2.008 | 2.092 | 0.8967 | 0.9501 | 1.804 | 1.213 | 4.186 | 3.647 |
Flexibility

The magnetic configurations of TJ-II offer ample flexibility in terms of rotational transform, plasma volume, and magnetic well, among others. The diagram shows the variation in the rotational transform as a function of and . The plasma size rav increases with , so that reasonably-sized plasmas are limited to the upper right triangle of this diagram.
Only part of the available range of configurations has been explored experimentally. One can cite:
- The so-called well scan experiments[1][2].
- Shot-by-shot configuration scans at constant shear[3][4].
- Dynamic single-shot configuration scans[5][6].
Furthermore, the impact of the magnetic configuration on enhanced confinement has been studied[7][8].
See also
References
- ↑ J. Castellano, J. Jiménez, C. Hidalgo, M. Pedrosa, A. Fraguas, I. Pastor, J. Herranz, C. Alejaldre, and the TJ-II Team. Magnetic well and instability thresholds in the TJ-II stellarator. Phys. Plasmas, 9(2):713,2002.
- ↑ A.M. de Aguilera, F. Castejón, E. Ascasíbar, E. Blanco, E. de la Cal, C. Hidalgo, B. Liu, A. López- Fraguas, F. Medina, M.A. Ochando, I. Pastor, M.A. Pedrosa, B. van Milligen, and the TJ-II Team. Magnetic well scan and confinement in the TJ-II stellarator. Nucl. Fusion, 55(11):113014, 2015.
- ↑ V. Vargas, D. López-Bruna, J. Herranz, and F. Castejón. Experimental electron heat diffusion in ECH plasmas of the TJ-II stellarator. Nucl. Fusion, 47:1367, 2007.
- ↑ B.Ph. van Milligen, J.H. Nicolau, L. García, B.A. Carreras, C. Hidalgo, and the TJ-II Team. The impact of rational surfaces on radial heat transport in TJ-II. Nucl. Fusion, 57(5):056028, 2017.
- ↑ D. López-Bruna, J. Romero, R. Jiménez-Gómez, M. Pedrosa, M. Ochando, T. Estrada, A. López-Fraguas, F. Medina, J. Herranz, T. Kalhoff, E. Ascasíbar, A. de la Peña, F. Lapayese, and J. Alonso. First dynamic magnetic configuration scans in ECRH plasmas of the TJ-II heliac. Nucl. Fusion, 49:085016, 2009.
- ↑ J. Romero, L. Pacios, A. de la Peña, F. Lapayese, and E. Ascasíbar. Magnetic configuration sweep control in heliac type stellarators. Nucl. Fusion, 54:043008, 2014.
- ↑ Boudewijn Philip van Milligen, Teresa Estrada, Benjamin Carreras, Luis García, and TJ-II Team. Importance of the rotational transform for L–H transitions in the TJ-II stellarator. Plasma, 7(2):446–464, 2024.
- ↑ B.Ph. van Milligen, I. García-Cortés, K.J. McCarthy, B.A. Carreras, L. García, A. Cappa, P. Pons- Villalonga, T. Estrada, D. Medina-Roque, J. Hernández Sánchez, R. García, O.S. Kozachok, O.O. Chmyga, J.L. de Pablos, J.M. Barcala, A. Molinero, I. Pastor, D. Tafalla, A. de la Peña, F. Lapayese, and the TJ-II Team. The rotational transform and enhanced confinement in the TJ-II stellarator. J. Plasma Phys., 91(4):E98, 2025.