TJ-II:Magnetic configuration: Difference between revisions

Latest revision as of 18:29, 7 October 2026

The magnetic configuration of TJ-II in vacuum is completely determined by the currents flowing through the external coils. Magnetic configurations are labelled as 'xxx_yy_zz', where

'xxx': 10 times the current (in kA) in the circular coil
'yy': 10 times the current (in kA) in the helical coil
'zz': 10 times the current (in kA) in the vertical field coils

The current in the toroidal field coils is not specified, as its value is adjusted to guarantee central absorption of the Electron Cyclotron Resonant Heating source (requiring a specific 'resonant' value of the magnetic field at the magnetic axis, $B_{r e s o n}$ ).

Configuration list:

Configuration	$r_{a v}$ (cm)	$ι (0) / 2 π$	$ι (a) / 2 π$	$B_{m, a v}$ (T)	$B_{r e s o n}$ (T)	$R_{a x} (0^{\circ})$ (m)	$R_{a x} (4 5^{\circ})$ (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

TJ-II has considerable configurational flexibility, as observed in the 'flexibility diagram'^[1]. Some of this flexibility space has been explored, as in the 'magnetic well scan' experiments^[2]. More recently, the rotational transform in the plasma edge region was found to be of importance for L-H confinement transitions^[3].

References

↑ E. Ascasíbar, T. Estrada, F. Castejón, A. López-Fraguas, I. Pastor, J. Sánchez, U. Stroth, J. Qin and TJ-II Team, Magnetic configuration and plasma parameter dependence of the energy confinement time in ECR heated plasmas from the TJ-II stellarator, Nucl. Fusion 45 (2005) 276–284
↑ A. de Aguilera, F. Castejón, E. Ascasíbar, et al. Magnetic well scan and confinement in the TJ-II stellarator, Nucl. Fusion, 55(11):113014, 2015
↑ B. P. van Milligen, T. Estrada, B. Carreras, L. 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.

[1] E. Ascasíbar, T. Estrada, F. Castejón, A. López-Fraguas, I. Pastor, J. Sánchez, U. Stroth, J. Qin and TJ-II Team, Magnetic configuration and plasma parameter dependence of the energy confinement time in ECR heated plasmas from the TJ-II stellarator, Nucl. Fusion 45 (2005) 276–284

[2] A. de Aguilera, F. Castejón, E. Ascasíbar, et al. Magnetic well scan and confinement in the TJ-II stellarator, Nucl. Fusion, 55(11):113014, 2015

[3] B. P. van Milligen, T. Estrada, B. Carreras, L. 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.

[1]

[2]

[3]

@@ Line 4: / Line 4: @@
 * 'yy': 10 times the current (in kA) in the helical coil
 * 'zz': 10 times the current (in kA) in the vertical field coils
-The current in the toroidal field coils is not specified, as its value is adjusted to guarantee central absorption of the [[TJ-II:Electron Cyclotron Resonant Heating|Electron Cyclotron Resonant Heating]] source (requiring a specific 'resonant' value of the magnetic field on the magnetic axis, <math>B_{reson}</math>).
+The current in the toroidal field coils is not specified, as its value is adjusted to guarantee central absorption of the [[TJ-II:Electron Cyclotron Resonant Heating|Electron Cyclotron Resonant Heating]] source (requiring a specific 'resonant' value of the magnetic field at the magnetic axis, <math>B_{reson}</math>).
 Configuration list:

TJ-II:Magnetic configuration: Difference between revisions

Latest revision as of 18:29, 7 October 2026

Flexibility

References

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