# Published Data

### These pages provide an access point to data contained in CCFE published journal papers. By selecting a paper, and then a specific figure or table, you can request the related underlying data if it is available for release.

### Publication Figures

Publication Date:

0000-00-00

First Author:

Yueqiang Liu

Title:

Toroidal modelling of 3D fields due to ferritic inserts and test blanket modules in ITER

Paper Identifier:

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Figure Reference | Title | Description | Number of Figure Data Items | Identifier | Download Figure Details | ||
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Fig. 1 | figure 1 | Equilibrium radial profiles of (a) the safety factor $q$, (b) pressure normalized by $B_0^2/mu_0$, (c) plasma density normalized to unity at the magnetic axis, and (d) toroidal rotation frequency, for the modelled 15MA baseline plasma at the current flat-top phase. | 0 | CF/16/29 | Download | ||

Fig. 2 | Figure 2 | Equilibrium radial profiles of (a) the safety factor $q$, (b) pressure normalized by $B_0^2/mu_0$, (c) plasma density normalized to unity at the magnetic axis, and (d) toroidal rotation frequency normalized by the on-axis toroidal Alfv'en frequency, for the modelled 9MA steady state plasma.} | 0 | CF/16/30 | Download | ||

Fig. 3 | Figure 3 | An example of the virtual surface (solid line) where the normal component of the vacuum magnetic field is specified, plotted together with the plasma boundary shape (dashed line) and a test surface (dash-dotted line). Considered here is the 15MA baseline scenario at flat-top, with the $n=1$ vacuum field. | 0 | CF/16/31 | Download | ||

Fig. 4 | Figure 4 | Comparison of the peak amplitude of the vacuum field $|B|$ inside the virtual surface, for toroidal harmonics $n=1-20$, of the ripple field (dash-dotted), the ripple plus the FI field (solid), and of the total field (ripple $+$ FI $+$ TBM, dashed line). The 9MA steady state plasma is considered here. | 0 | CF/16/32 | Download | ||

Fig. 5 | Figure 5 | The logarithmic plot of the $n=18$ vacuum radial field amplitude versus the poloidal harmonic number $m$, for the combined field from ripples, FIs and TBMs of the 9MA case. | 0 | CF/16/33 | Download | ||

Fig. 6 | Figure 6 | The computed $B_R$ field (in Tesla), both real (solid) and imaginary (dashed) parts, along the major radius at the vertical position $Z=-0.03$m, for the 9MA steady state scenario at the flat-top phase and including the field contributions from the ripple, the FI and TBM. Each of the sub-plots (a-f), corresponding to $n=1-6$, respectively, shows (i) the vacuum field (blue), (ii) the response field produced by the perturbed plasma current (red), (iii) the directly computed total field valid within the virtual surface (black, in the major radius range between ~4m and ~8.4m in this plot), and (iv) the total field valid everywhere, by combing fields (i) and (ii). | 0 | CF/16/34 | Download | ||

Fig. 7 | Figure 7 | The computed $B_R$ field (in Tesla), both real (solid) and imaginary (dashed) parts, along the major radius at the vertical position $Z=-0.03$m, for the 9MA steady state scenario at the flat-top phase and including (a) the $n=1$, and (b) $n=2$, field contributions from the ripple, the FIs, TBMs, as well as (the low-$n$ side-bands of) the ELM control coils. Compared are (i) the vacuum field (black), (ii) the total response field assuming the fluid model (blue), and (iii) the total response field assuming the drift kinetic model (red). | 0 | CF/16/35 | Download | ||

Fig. 8 | Figure 8 | The computed $n=1$ $B_R$ field (in Tesla), contributed by the ripple, the FI and TBM fields, both real (solid) and imaginary (dashed) parts, plotted along the major radius at the vertical position $Z=-0.03$m. Each of the sub-plots (a-f), corresponding to (a) the 15MA baseline scenario at flat-top, (b) the 12.5MA hybrid scenario at flat-top, (c) the 9MA steady state scenario at flat-top, (d) the 15MA baseline scenario at ramp-up, (e) the 12.5MA hybrid scenario at ramp-up, and (f) the 7.5MA half-field Helium scenario at flat-top, respectively, shows (i) the vacuum field (blue), (ii) the response field produced by the perturbed plasma current (red), (iii) the directly computed total field valid within the virtual surface (black, in the major radius range between ~4m and ~8.4m in this plot), and (iv) the total field valid everywhere, by combing fields (i) and (ii). | 0 | CF/16/36 | Download | ||

Fig. 9 | Figure 9 | The computed (a) real (solid) and imaginary (dashed) parts of the total $n=1$ response field $delta B_R$, plotted along the major radius $R$ across the mid-plane $Z=0$, and (b) magnetic islands width at rational surfaces, while varying a scaling factor $F$ for the toroidal rotation amplitude. The whole radial profile of the toroidal rotation frequency, as shown in Fig. ref{fig:eq15ma}(d) for the Prandtl number of 0.75, is scaled by the factor $F$. The islands produced by the vacuum field is also plotted in (b). Considered is the 15MA scenario at flat-top, with the inclusion of both the ripple and the FI fields. | 0 | CF/16/37 | Download | ||

|Fig. 10 | Figure 10 | Comparison of the Chirikov parameters, corresponding to each individual $n=1-6$ ripple$+$FI vacuum (blue) and total response (red) field, for the 15MA scenario at the flat-top phase. | 0 | CF/16/38 | Download | ||

Fig. 11 | Figure 11 | Comparison of the Chirikov parameters, corresponding to all $n=1-6$ vacuum (blue) and total response (red) ripple$+$FI fields combined together, for the 15MA scenario at the flat-top phase, (a) in the whole plasma region, and (b) near the plasma edge. | 0 | CF/16/39 | Download | ||

Fig. 12 | Figure 12 | Location of the top, mid-plane, and bottom rows of the EFCC in ITER, plotted together with the plasma boundary shape (red) and the double vacuum vessel model (blue). | 0 | CF/16/40 | Download | ||

Fig. 13 | Figure 13 | The amplitude of the $m/n=2/1$ vacuum radial field at the $q=2$ rational surface with varying toroidal coil phasing for EFCC. The vacuum field is the combination of the ripple$+$FI fields, and the EFCC field assuming $I^U=I^L=I^M=I=10$kAt. | 0 | CF/16/41 | Download | ||

Fig. 14 | Figure 14 | The amplitude of the $m/n=2/1$ total response radial field at the $q=2$ rational surface with varying toroidal coil phasing for EFCC. The field is the combination of the plasma response to the ripple$+$FI fields, and to the EFCC field assuming $I^U=I^L=I^M=I=10$kAt. | 0 | CF/16/42 | Download | ||

Fig. 15 | Figure 15 | The computed net ${bf j}times{bf b}$ torque acting on the whole plasma column, with varying toroidal coil phasing for EFCC. The torque occurs due to the plasma response to the combination of the ripple$+$FI$+$TBM fields, and the EFCC field assuming $2I^U=2I^L=I^M=I=18$kAt. | 0 | CF/16/43 | Download | ||

Fig. 16 | Figure 16 | The computed X-point displacement of the plasma surface, with varying EFCC current amplitudes. The displacement occurs as the plasma responds to the combination of the ripple$+$FI$+$TBM fields, and to the EFCC field assuming $Phi^U=Phi^L=Phi^M=Phi=300^{rm o}$. | 0 | CF/16/44 | Download | ||

Fig. 17 | Figure 17 | Time evolution of all the resonant harmonics of the radial field perturbations, computed by MARS-Q for three sets of 15MA baseline equilibria with $q_{min}=0.95$ (thin lines), $q_{min}=1.02$ (medium-thick lines) $q_{min}=1.03$ (thick lines), as a result of quasi-linear plasma response to the $n=1$ ripple$+$FI$+$TBM$+$RMP fields. | 0 | CF/16/45 | Download | ||

Fig. 18 | Figure 18 | Time evolution of all three torque components, computed by MARS-Q for three sets of 15MA baseline equilibria with $q_{min}=0.95$ (thin lines), $q_{min}=1.02$ (medium-thick lines) $q_{min}=1.03$ (thick lines), as a result of quasi-linear plasma response to the $n=1$ ripple$+$FI$+$TBM$+$RMP fields. | 0 | CF/16/46 | Download | ||

Fig. 19 | Figure 19 | The JINTRAC modelled steady state radial profiles for (a) the thermal ion temperature, (b) the torque densities, and (c) the toroidal flow speed, for the 15MA baseline scenario during the current flat-top phase. Three torque densities are compared in (b): the NBI torque (red), the sum (blue) of all three torques due to plasma response to 3D fields from ripple and FI, and the sum (pink) of all three torques due to plasma response to 3D fields from ripple, FI and TBM. Three simulated steady state flow profiles are compared in (c): without the 3D fields induced torque (red), with the torque induced by ripple and FI fields (blue), with the torque induced by ripple, FI and TBM (pink). | 0 | CF/16/47 | Download | ||

Tab. 1 | Table 1 | Plasma scenarios considered in the study. | 0 | CF/16/48 | Download | ||

Tab. 2 | Table 2 | Optimal EFCC current phasing (in degrees) for correcting ripple$+$FI$+$TBM fields following the plasma response based Criterion B. Here $Phi^U=Phi^L=Phi$. $T$ is the minimal net ${bf j}times{bf b}$ torque for each choice of the EFCC current amplitude. | 0 | CF/16/49 | Download | ||

Tab. 3 | Table 3 | Linear growth rate $gamma$ and frequency $omega$ of the $n=1$ internal kink mode for the 15MA baseline plasma. | 0 | CF/16/50 | Download | ||

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