NCSX Configurations

Equilibria were generated using the coils file c07r00 posted in ftp://ftp.pppl.gov/pub/abrooks/NCSX/NCSX_COIL_DATA/li383_1.4m/coilsets .
Plasma-to-FW (first wall) distances are calculated using fw030324.vmec posted in ftp://ftp.pppl.gov/pub/abrooks/NCSX/NCSX_COIL_DATA/li383_1.4m/FirstWall
Note: Coil Currents quoted below are STELLOPT EXTCUR values.
EXTCUR(1-3) correspond to the independent modular coils; EXTCUR(4-5) correspond to the OH coils; EXTCUR(6-9) correspond to the PF coils
EXTCUR(10) corresponds to the TF coil
To calculate Amp-turns for each coil group, multiply by the number of turns in the appropriate group. The turns corresponding to the 10 coil groups are
NTURNS(1-3) = 1; NTURNS(4-5) = 4, 4; NTURNS(6-9) = 4, 6, 2, 1;
NTURNS(10) = 1.

Overview

Configuration
Modular 1
Modular 2
Modular3
PF1
PF2
PF3
PF4
PF5
PF6
TF
CURTOR
BETA
S1
7.5538E+05
7.1836E+05
6.3899E+05
0
0
-1.9920E+04
4.0100E+05
-5.3654E+04
9.2250E+03
-4.3070E+04
0.0
0.0
S2a
7.0081E+05
6.4982E+05
5.8390E+05
0
0
-6.1276E+04
-7.4436E+05
2.6111E+05
-1.2157E+05
1.6501E+04
-1.786E+05
1.0
S2b
7.0010E+05
6.4954E+05
5.7806E+05
0
0
-6.0047E+04
-7.7195E+05
2.1485E+05
-1.1309E+05
1.9448E+04
-1.600E+05
0.0
S3
6.5227E+05
6.5187E+05
5.3774E+05
0
0
2.8095E+04
-5.4805E+04
3.0123E+04
9.4241E+04
4.5514E+04
-1.786E+05
4.1
S3-mod
6.5858E+05
6.5440E+05
5.4252E+05
0
0
2.6137E+04
-5.8987E+04
2.7881E+04
8.9996E+04
4.5309E+04
-1.786E+05
4.1
S4
6.8234E+05
6.3959E+05
5.7791E+05
0
0
-8.3748E+04
-6.0941E+05
3.1129E+05
-1.8187E+05
2.6233E+04
-3.200E+05
0.0
S5
7.0010E+05
6.4954E+05
5.7806E+05
0
0
-9.9202E+04
-3.4874E+05
1.6463E+05
-1.9729E+05
1.9448E+04
0.0
0.0

S1: Vac. Configuration with iota > 0.5 everywhere in plasma

TOROIDAL CURRENT*
4.47E-16 [MA]
R-BTOR(s=1)
2.38E+00
Average Beta
0.000E+00
Aspect Ratio
4.682891
Plasma Volume
2.718500 [M**3]
Major Radius
1.445471 [M] (from Volume and Cross Section)
Minor Radius
0.308671 [M] (from Cross Section)
Waist (v = 0)
0.238598 [M] in R
Full Height(v = 0)
1.253904 [M]
Waist (v = pi) in R
0.740767 [M]
Full Height(v = pi)
0.510073 [M]
iota(s=.00,.50,1.00)
5.297E-01 5.374E-01 5.677E-01
eps32(js=16,26,40)
0.10146391E-03, 0.36778945E-03, 0.16842455E-02
Min Plasma-VV Sep
2.566E-02
This was generated from a C06R00 equilibrium generated for vacuum divertor studies of Georgevskiy and Rudakov in Jan 03. The modulars coils for C06R00 are the same as C07R00 so the same currents could be used. The PF coils had changed, so the PF fields produced by the C06R00 configuration were fit to the fields produced by appropriate C07R00 coil currents (by A. Brooks using fitpf2.f). No further optimization was done. STELLOPT output files stored in

ftp://ftp.pppl.gov/pub/pomphrey/M50.c07r00/General.Repository/m50.c07r00_s1gen.01.zip

S2 (full current, zero beta)

Using RBt = 2.38 T-m and the full plasma current (-178.6 kA), I was unsuccessful in producing a kink stable plasma at b = 0 %. The strategy I adopted was to produce a sequence of kink and ballooning stable states with good FW-plasma separation as b was decreased from the S3 value of 4%. However, a strong n=1 kink instability was found to develop for b in the range < 0.75% at the full current preventing access to a true S2 state. The region of instability seems to be fairly localized in Ip-b space, since a kink stable configuration was found at a slightly lower plasma current (-160.0 kA) at b = 0%. Below, I will list two surrogate S2 equilibria which the engineering analysis can use to develop coil current waveforms. The first, S2a, is the low b full current equilibrium (Ip = -178.6 kA, b = 1.0%), and the second, S2b, is the b = 0% equilibrium with 10% reduced current (Ip = -160.0 kA, b =0%).

S2a (full current, zero beta)

*TOROIDAL CURRENT*
-1.79E-01 [MA]
*R-BTOR(s=1)*
2.38E+00
*Average Beta*
9.719E-03
*Aspect Ratio*
4.486785
*Plasma Volume*
2.887553 [M**3]
*Major Radius*
1.433366 [M] (from Volume and Cross Section)
*Minor Radius*
0.319464 [M] (from Cross Section)
*Waist (v = 0)*
0.241542 [M] in R
*Full Height(v = 0)*
1.340239 [M]
*Waist (v = pi) in R*
0.651921 [M]
*Full Height(v = pi)*
0.578833 [M]
*iota(s=.00,.50,1.00)*
3.499E-01 5.263E-01 6.587E-01
*eps32(js=16,26,40)*
0.44228472E-04, 0.17115496E-03, 0.77940978E-03
*Min Plasma-VV Sep*
2.669E-02
Comments: Kink and ballooning stable. STELLOPT output files stored in
ftp://ftp.pppl.gov/pub/pomphrey/M50.c07r00/General.Repository/m50.c07r00_s2gen.05.zip

S2b: Ip = -160.0 kA, b = 0

*TOROIDAL CURRENT*
-1.60E-01 [MA]
*R-BTOR(s=1)*
2.38E+00
*Average Beta*
0.000E+00
*Aspect Ratio*
4.642714
*Plasma Volume*
2.805697 [M**3]
*Major Radius*
1.452396 [M] (from Volume and Cross Section)
*Minor Radius*
0.312833 [M] (from Cross Section)
*Waist (v = 0)*
0.240214 [M] in R
*Full Height(v = 0)*
1.323896 [M]
*Waist (v = pi) in R*
0.646621 [M]
*Full Height(v = pi)*
0.574251 [M]
*iota(s=.00,.50,1.00)*
3.342E-01 5.155E-01 6.568E-01
*eps32(js=16,26,40)*
0.66174144E-04, 0.24348984E-03, 0.10503225E-02
*Min Plasma-VV Sep*
1.853E-02
Comments: Kink stable. STELLOPT output files stored in
ftp://ftp.pppl.gov/pub/pomphrey/M50.c07r00/General.Repository/m50.c07r00_s2gen.07.zip

S3: - full current (-178.6 kA), full beta (4.1%) RBt = 2.38 T-m (1.7 T at 1.4 m)

*TOROIDAL CURRENT*
-1.79E-01 [MA]
*R-BTOR(s=1)*
2.37E+00
*Average Beta*
4.081E-02
*Aspect Ratio*
4.466509
*Plasma Volume*
2.959223 [M**3]
*Major Radius*
1.440771 [M] (from Volume and Cross Section)
*Minor Radius*
0.322572 [M] (from Cross Section)
*Waist (v = 0)*
0.268353 [M] in R
*Full Height(v = 0)*
1.257869 [M]
*Waist (v = pi) in R*
0.719456 [M]
*Full Height(v = pi)*
0.526709 [M]
*iota(s=.00,.50,1.00)*
3.506E-01 5.522E-01 6.548E-01
*eps32(js=16,26,40)*
0.87389060E-04, 0.18022688E-03, 0.77031260E-03
*Min Plasma-VV Sep*
1.889E-02
Comments: Kink stable to n=1 and n=0 families; Ballooning unstable on surfaces 39-44 for theta = 0, zeta = 0 (apparently stable to finite high n ballooning according to Mike Z, relating calculations of G. Fu). STELLOPT output files for S3 in
ftp://ftp.pppl.gov/pub/pomphrey/M50.c07r00/Ref.Scenarios/m50.c07r00_s3.zip

S3-modified: (STELLOPT used to increase FW-plasma separation)

*TOROIDAL CURRENT*
-1.79E-01 [MA]
*R-BTOR(s=1)*
2.39E+00
*Average Beta*
4.047E-02
*Aspect Ratio*
4.530665
*Plasma Volume*
2.909880 [M**3]
*Major Radius*
1.446405 [M] (from Volume and Cross Section)
*Minor Radius*
0.319248 [M] (from Cross Section)
*Waist (v = 0)*
0.267560 [M] in R
*Full Height(v = 0)*
1.245501 [M]
*Waist (v = pi) in R*
0.717620 [M]
*Full Height(v = pi)*
0.522160 [M]
*iota(s=.00,.50,1.00)*
3.510E-01 5.588E-01 6.668E-01
*eps32(js=16,26,40)*
0.91137024E-04, 0.19314765E-03, 0.80924301E-03
*Min Plasma-VV Sep*
2.669E-02
Comments: Stability properties same as reference S3 above and eps32 comparable. However, compared with reference S3 above, the Min Plasma-FW distance has increased to from 1.89 cm to 2.70 cm.
STELLOPT output files for S3-modified in
ftp://ftp.pppl.gov/pub/pomphrey/M50.c07r00/Ref.Scenarios/m50.c07r00_s3.02.zip

S4: High Current Ohmic (Ip = -320kA BT = 1.7T at R = 1.4 m; iota ~ 1.0)

*TOROIDAL CURRENT*
-3.20E-01 [MA]
*R-BTOR(s=1)*
2.38E+00
*Average Beta*
0.000E+00
*Aspect Ratio*
4.569327
*Plasma Volume*
2.853251 [M**3]
*Major Radius*
1.445123 [M] (from Volume and Cross Section)
*Minor Radius*
0.316266 [M] (from Cross Section)
*Waist (v = 0)*
0.230570 [M] in R
*Full Height(v = 0)*
1.231942 [M]
*Waist (v = pi) in R*
0.815659 [M]
*Full Height(v = pi)*
0.542858 [M]
*iota(s=.00,.50,1.00)*
3.685E-01 6.634E-01 9.607E-01
*eps32(js=16,26,40)*
0.63558447E-04, 0.29107842E-03, 0.12429393E-02
*Min Plasma-VV Sep*
5.592E-03

Comments: The plasma current here is 320kA, not the 350kA we had at the CDR. The toroidal field is 1.7T, not 1.8T. However 1.8/1.7 x 320 = 350 so the scaled field are equivalent. The edge iota is 0.96 (see above Table), and the max iota is found to be 0.99 (at s = 0.90). For this S4 plasma shape, we find the vacuum contribution to iota at the axis and edge are
is4vac(0) = 0.5230 and is4vac(1) = 0.6329 ==> the plasma contributions to iota are is4plas(0) = –0.1545 and is4plas(1) = +0.3278. These values can be compared with the corresponding contributions for the s3 reference plasma, namely is3vac(0) = 0.3910, is3vac(1) = 0.4857, is3plas(0) = -0.0404,
is3plas(1) = +0.1691. So the s4 state has essentially doubled the plasma contribution to iota relative to the S3 state.
Output files for the S4 state can be found in ftp://ftp.pppl.gov/pub/pomphrey/M50.c07r00/General.Repository/m50.c07r00_s4gen.104.zip

S5: Vac. configuration with same toroidal (modular + TF) coil currents as S2

*TOROIDAL CURRENT*
1.80E-16 [MA]
*R-BTOR(s=1)*
2.38E+00
*Average Beta*
0.000E+00
*Aspect Ratio*
4.670057
*Plasma Volume*
2.841449 [M**3]
*Major Radius*
1.464260 [M] (from Volume and Cross Section)
*Minor Radius*
0.313542 [M] (from Cross Section)
*Waist (v = 0)*
0.246149 [M] in R
*Full Height(v = 0)*
1.246927 [M]
*Waist (v = pi) in R*
0.666425 [M]
*Full Height(v = pi)*
0.557373 [M]
*iota(s=.00,.50,1.00)*
3.795E-01 3.914E-01 4.201E-01
*eps32(js=16,26,40)*
0.20579201E-03, 0.68248127E-03, 0.22441680E-02
*Min Plasma-VV Sep*
2.693E-02

Comments: STELLOPT output files stored in
ftp://ftp.pppl.gov/pub/pomphrey/M50.c07r00/General.Repository/m50.c07r00_s5gen.03.zip

Flexibility Studies

The following files reference the Flexibility Study done for NCSX ().


Reference Configuration S3 (Table I & II)


ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/REF.SCENARIOS/z16.s3.1.zip

Coil Perturbation Study (Table IV)

Perturbed Quantitity (5%)
File Location
Modular 1
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/ROBUSTNESS/s3m1+5%25.zip
Modular 2
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/ROBUSTNESS/s3m2+5%25.zip
Modular 3
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/ROBUSTNESS/s3m3+5%25.zip
Poloidal Field 3
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/ROBUSTNESS/s3pf3+5%25.zip
Poloidal Field 4
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/ROBUSTNESS/s3pf4+5%25.zip
Poloidal Field 5
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/ROBUSTNESS/s3pf5+5%25.zip
Poloidal Field 6
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/ROBUSTNESS/s3pf6+5%25.zip
Toroidal Field
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/ROBUSTNESS/s3tf+5%25.zip
Plasma Current
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/ROBUSTNESS/s3ip+5%25.zip

Plasma Current / Beta Scan (Table V)




Beta




Ip
0.0
1.0
2.0
3.0
4.0
5.0
6.0
0
z16.a0g0b0i0.2.zip
z16.a0g0b1i0.0.zip
z16.a0g0b2i0.2.zip
Unstable
Unstable
XX
XX
44
z16.a0g0b0i44.0.zip
z16.a0g0b1i44.0.zip
z16.a0g0b2i44.0.zip
z16.a0g0b3i44.0.zip
z16.a0g0b4i44.0.zip
XX
XX
87.5
z16.a0g0b0i875.2.zip
z16.a0g0b1i875.1.zip
z16.a0g0b2i875.0.zip
z16.a0g0b3i875.0.zip
z16.a0g0b4i875.1.zip
XX
XX
131
z16.a0g0b0i131.3.zip
z16.a0g0b1i131.a.zip
z16.a0g0b2i131.2.zip
z16.a0g0b3i131.1.zip
z16.a0g0b4i131.4.zip
XX
XX
174
z16.a0g0b0.5.zip
z16.a0g0b1.4.zip
z16.a0g0b2.2.zip
z16.a0g0b3.3.zip
z16.s3.1.zip
z16.a0g0b5.5.zip
XX
200
XX
XX
XX
XX
XX
XX
z16.a0g0b6.9b.zip

Core Current Profile Variation (Table VII)

Alpha
File Location
0.0
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/CURRENT.PROFILE.SCAN/z16.a0g0b3.3.zip
0.1
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/CURRENT.PROFILE.SCAN/z16.a1g0b3.0.zip
0.2
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/CURRENT.PROFILE.SCAN/z16.a2g0b3.0.zip
0.3
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/CURRENT.PROFILE.SCAN/z16.a3g0b3.0.zip
0.4
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/CURRENT.PROFILE.SCAN/z16.a4g0b3.1.zip
0.5
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/CURRENT.PROFILE.SCAN/z16.a5g0b3.3.zip

Edge Current Profile Variation

Delta
File Location
0.0
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/CURRENT.PROFILE.SCAN/z16.a0g0b5.5.zip
0.2
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/CURRENT.PROFILE.SCAN/z16.a0g0b5.5.min+Jedge0.2.zip
0.4
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/CURRENT.PROFILE.SCAN/z16.a0g0b5.5.min+Jedge0.4.zip

Core Pressure Profile Variation (Table X)

Gamma
File Location
0.0
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/PRESSURE.PROFILE.SCAN/z16.a0g0b3.3.zip
0.2
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/PRESSURE.PROFILE.SCAN/z16.a0g2b3.a.zip
0.4
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/PRESSURE.PROFILE.SCAN/z16.a0g4b3.a.zip
0.6
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/PRESSURE.PROFILE.SCAN/z16.a0g6b3.b.zip
0.8
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/PRESSURE.PROFILE.SCAN/z16.a0g8b3.c.zip

Pressure Pedestal

ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/PRESSURE.PROFILE.SCAN/z16.a0b3ppedestal.3c.zip

Variation of Iota at Fixed Shear (Table XII)

Delta Iota
File Location
Ref
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/S3.IOTA.SCAN/z16.s3ioscan.1.zip
-0.1
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/S3.IOTA.SCAN/z16.s3ioscan.3.zip
-0.2
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/S3.IOTA.SCAN/z16.s3ioscan.5c.zip
+0.1
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/S3.IOTA.SCAN/z16.s3ioscan.2a.zip

Variation of Shear at Fixed Core Iota

Edge Iota
File Location
0.58
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/S3.IOTA.SCAN/0330h.zip
0.64 (ref)
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/S3.IOTA.SCAN/z16.s3ioscan.1.zip
0.74
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/S3.IOTA.SCAN/z16.s3ioscan.7a.zip
0.84
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/S3.IOTA.SCAN/0319b.zip

Shape Stabilization Experiments (Table XIV)

Experiment
File Location
A
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/3DSHAPE-STABILIZATION/0420a.zip
B
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/3DSHAPE-STABILIZATION/0413b.zip
C
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/3DSHAPE-STABILIZATION/0412e.zip

Neoclassical Transport Variation Study (Table XV)

Optimization Level
File Location
Fully Degraded
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/QA.SCAN/0325qa.2.zip
Partially Degraded
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/QA.SCAN/0325qa.3.zip
Reference Optimized
ftp://ftp.pppl.gov/pub/pomphrey/M45_1231k10j2/QA.SCAN/z16.a0g0b2i875.0.zip