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Update DIIID machine and add example #70

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Oct 26, 2022
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Update DIIID machine and add example #70

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60a11ca
update diiid info including shaped coils and boundary
Oct 26, 2022
c8c3049
formatting and fixing some typos
Oct 26, 2022
ffe1286
add new diiid example
Oct 26, 2022
9e037b8
remove some lines I needed for this to work locally
Oct 26, 2022
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77 changes: 77 additions & 0 deletions 16-DIIID.py
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Original file line number Diff line number Diff line change
@@ -0,0 +1,77 @@
#!/usr/bin/env python

import freegs
import matplotlib.pyplot as plt

#########################################
# Create the machine, which specifies coil locations
# and equilibrium, specifying the domain to solve over

tokamak = freegs.machine.DIIID()

eq = freegs.Equilibrium(tokamak=tokamak,
Rmin=0.1, Rmax=2.8, # Radial domain
Zmin=-1.8, Zmax=1.8, # Height range
nx=129, ny=129) # Number of grid points

#########################################
# Plasma profiles

profiles = freegs.jtor.ConstrainPaxisIp(eq,
159811, # Plasma pressure on axis [Pascals]
-1533632, # Plasma current [Amps]
-3.231962138124) # vacuum f = R*Bt

#########################################
# Coil current constraints
#
# Specify locations of the X-points
# to use to constrain coil currents

xpoints = [(1.285, -1.176), # (R,Z) locations of X-points
(1.2, 1.0)]

isoflux = [(1.285, -1.176, 1.2 ,1.2)] # (R1,Z1, R2,Z2) pair of locations

constrain = freegs.control.constrain(xpoints=xpoints, gamma=1e-12, isoflux=isoflux)

constrain(eq)

#########################################
# Nonlinear solve

freegs.solve(eq, # The equilibrium to adjust
profiles, # The plasma profiles
constrain, # Plasma control constraints
show=True) # Shows results at each nonlinear iteration

# eq now contains the solution

print("Done!")

print("Plasma current: %e Amps" % (eq.plasmaCurrent()))
print("Pressure on axis: %e Pascals" % (eq.pressure(0.0)))
print("Plasma poloidal beta: %e" % (eq.poloidalBeta()))
print("Plasma volume: %e m^3" % (eq.plasmaVolume()))

eq.tokamak.printCurrents()

# plot equilibrium
axis = eq.plot(show=False)
tokamak.plot(axis=axis, show=False)
constrain.plot(axis=axis, show=True)

# Safety factor
plt.plot(*eq.q())
plt.xlabel(r"Normalised $\psi$")
plt.ylabel("Safety factor")
plt.grid()
plt.show()

##############################################
# Save to geqdsk file

from freegs import geqdsk

with open("diiid.geqdsk", "w") as f:
geqdsk.write(eq, f)
81 changes: 59 additions & 22 deletions freegs/machine.py
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Original file line number Diff line number Diff line change
Expand Up @@ -922,32 +922,69 @@ def TestTokamakSensor():

def DIIID():
"""
PF coil set from ef20030203.d3d
Taken from Corsica
PF coil set and boundary from g file and GA webpage
"""

coils = [
{"label": "F1A", "R": 0.8608, "Z": 0.16830, "current": 0.0},
{"label": "F2A", "R": 0.8614, "Z": 0.50810, "current": 0.0},
{"label": "F3A", "R": 0.8628, "Z": 0.84910, "current": 0.0},
{"label": "F4A", "R": 0.8611, "Z": 1.1899, "current": 0.0},
{"label": "F5A", "R": 1.0041, "Z": 1.5169, "current": 0.0},
{"label": "F6A", "R": 2.6124, "Z": 0.4376, "current": 0.0},
{"label": "F7A", "R": 2.3733, "Z": 1.1171, "current": 0.0},
{"label": "F8A", "R": 1.2518, "Z": 1.6019, "current": 0.0},
{"label": "F9A", "R": 1.6890, "Z": 1.5874, "current": 0.0},
{"label": "F1B", "R": 0.8608, "Z": -0.1737, "current": 0.0},
{"label": "F2B", "R": 0.8607, "Z": -0.5135, "current": 0.0},
{"label": "F3B", "R": 0.8611, "Z": -0.8543, "current": 0.0},
{"label": "F4B", "R": 0.8630, "Z": -1.1957, "current": 0.0},
{"label": "F5B", "R": 1.0025, "Z": -1.5169, "current": 0.0},
{"label": "F6B", "R": 2.6124, "Z": -0.44376, "current": 0.0},
{"label": "F7B", "R": 2.3834, "Z": -1.1171, "current": 0.0},
{"label": "F8B", "R": 1.2524, "Z": -1.6027, "current": 0.0},
{"label": "F9B", "R": 1.6889, "Z": -1.578, "current": 0.0},
("FC1",ShapedCoil([[1.6042, -1.64455], [1.7736, -1.64455], [1.7736, -1.51145], [1.6042, -1.51145]])),
("FC2",ShapedCoil([[0.8354, 0.00777], [0.8862, 0.00777], [0.8862, 0.32883], [0.8354, 0.32883]])),
("FC3",ShapedCoil([[0.836, 0.34757], [0.8868, 0.34757], [0.8868, 0.66863], [0.836, 0.66863]])),
("FC4",ShapedCoil([[0.8374, 0.68857], [0.8882, 0.68857], [0.8882, 1.00963], [0.8374, 1.00963]])),
("FC5",ShapedCoil([[0.8357, 1.02937], [0.8865, 1.02937], [0.8865, 1.35043], [0.8357, 1.35043]])),
("FC6",ShapedCoil([[0.9345, 1.3876], [1.0737, 1.5268], [1.0737, 1.6462], [0.9345, 1.507]])),
("FC7",ShapedCoil([[2.5298, 0.3403], [2.703, 0.3403], [2.6949, 0.5349], [2.5217, 0.5349]])),
("FC8",ShapedCoil([[2.5387, 1.0325], [2.7267, 1.0325], [2.2078, 1.2017], [2.0198, 1.2017]])),
("FC9",ShapedCoil([[1.13435, 1.55935], [1.36925, 1.55935], [1.36925, 1.64445], [1.13435, 1.64445]])),
("FC10",ShapedCoil([[1.6043, 1.52085], [1.7737, 1.52085], [1.7737, 1.65395], [1.6043, 1.65395]])),
("FC11",ShapedCoil([[0.8354, -0.33423], [0.8862, -0.33423], [0.8862, -0.01317], [0.8354, -0.01317]])),
("FC12",ShapedCoil([[0.8353, -0.67403], [0.8861, -0.67403], [0.8861, -0.35297], [0.8353, -0.35297]])),
("FC13",ShapedCoil([[0.8357, -1.01483], [0.8865, -1.01483], [0.8865, -0.69377], [0.8357, -0.69377]])),
("FC14",ShapedCoil([[0.8376, -1.35623], [0.8884, -1.35623], [0.8884, -1.03517], [0.8376, -1.03517]])),
("FC15",ShapedCoil([[0.9329, -1.507], [1.0721, -1.6462], [1.0721, -1.5268], [0.9329, -1.3876]])),
("FC16",ShapedCoil([[2.5217, -0.5349], [2.6949, -0.5349], [2.703, -0.3403], [2.5298, -0.3403]])),
("FC17",ShapedCoil([[2.0299, -1.2017], [2.2179, -1.2017], [2.7368, -1.0325], [2.5488, -1.0325]])),
("FC18",ShapedCoil([[1.13495, -1.64525], [1.36985, -1.64525], [1.36985, -1.56015], [1.13495, -1.56015]]))
]

return Machine(coils)
R = np.array([1.016,1.016,1.016,1.016,1.016,1.016,1.016,1.016,1.016,
1.016,1.016,1.012,1.001,1.029,1.042,1.046,1.056,1.097,
1.108,1.116,1.134,1.148,1.162,1.181,1.182,1.185,1.19,
1.195,1.201,1.209,1.215,1.222,1.228,1.234,1.239,1.242,
1.248,1.258,1.263,1.28,1.28,1.28,1.31,1.328,1.361,
1.38,1.419,1.419,1.372,1.37167,1.37003,1.36688,1.36719,1.37178,
1.37224,1.38662,1.38708,1.40382,1.41127,1.41857,1.421,1.48663,1.4973,
1.49762,1.49745,1.49275,1.4926,1.49261,1.49279,1.4934,1.4947,1.49622,
1.47981,1.48082,1.48149,1.48646,1.49095,1.50305,1.59697,1.6255,1.63752,
1.647,1.785,2.07,2.128,2.245,2.33956,2.34708,2.34913,2.35103,
2.35158,2.35125,2.35051,2.34965,2.3487,2.3476,2.3402,2.32942,2.134,
1.786,1.768,1.768,1.682,1.372,1.372,1.42,1.42,1.273,
1.153,1.016,1.016,1.016,1.016,1.016,1.016,1.016,1.016])
Z = np.array([ 0.00000e+00,9.64000e-01,9.68000e-01,1.00100e+00,1.01900e+00,
1.07700e+00,1.07000e+00,1.09600e+00,1.11300e+00,1.13800e+00,
1.14700e+00,1.16500e+00,1.21700e+00,1.21700e+00,1.16240e+00,
1.16238e+00,1.16260e+00,1.16450e+00,1.16594e+00,1.16591e+00,
1.16896e+00,1.17175e+00,1.17556e+00,1.18300e+00,1.18350e+00,
1.18500e+00,1.18800e+00,1.19100e+00,1.19600e+00,1.20200e+00,
1.20800e+00,1.21400e+00,1.22100e+00,1.23100e+00,1.23800e+00,
1.24400e+00,1.25400e+00,1.27800e+00,1.29000e+00,1.33100e+00,
1.34700e+00,1.34800e+00,1.34800e+00,1.34800e+00,1.34800e+00,
1.34800e+00,1.34800e+00,1.31000e+00,1.31000e+00,1.29238e+00,
1.28268e+00,1.25644e+00,1.22955e+00,1.19576e+00,1.19402e+00,
1.16487e+00,1.16421e+00,1.15696e+00,1.15730e+00,1.16132e+00,
1.16400e+00,1.24050e+00,1.23458e+00,1.23428e+00,1.23174e+00,
1.21330e+00,1.21061e+00,1.20486e+00,1.20214e+00,1.19642e+00,
1.18511e+00,1.16070e+00,1.12426e+00,1.12256e+00,1.12138e+00,
1.11692e+00,1.11439e+00,1.11244e+00,1.09489e+00,1.08530e+00,
1.07988e+00,1.07700e+00,1.07700e+00,1.04000e+00,9.93000e-01,
7.09000e-01,4.61430e-01,4.15830e-01,2.72180e-01,1.70180e-01,
7.01200e-02, -3.17900e-02, -1.44350e-01, -2.14830e-01, -3.26690e-01,
-3.86770e-01, -4.53040e-01, -4.77570e-01, -9.73000e-01, -1.17400e+00,
-1.21100e+00, -1.25000e+00, -1.25000e+00, -1.25000e+00, -1.32900e+00,
-1.32900e+00, -1.36300e+00, -1.36300e+00, -1.36300e+00, -1.22300e+00,
-1.22300e+00, -8.30000e-01, -8.00000e-01, -4.15000e-01, -4.00000e-01,
-1.00000e-03,0.00000e+00])
wall = Wall(R,Z)

return Machine(coils,wall=wall)


def MAST():
Expand Down