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Trying to get the fixed surface dipole example working better.
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akaptano committed Oct 23, 2024
1 parent 9801fe5 commit bf3dab0
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Showing 2 changed files with 45 additions and 34 deletions.
10 changes: 6 additions & 4 deletions examples/3_Advanced/QA_reactorScale_dipoleArrays.py
Original file line number Diff line number Diff line change
Expand Up @@ -41,8 +41,8 @@
range_param = "half period"
nphi = 32
ntheta = 32
poff = 1.5
coff = 3.0
poff = 2.25
coff = 3.5
s = SurfaceRZFourier.from_vmec_input(filename, range=range_param, nphi=nphi, ntheta=ntheta)
s_inner = SurfaceRZFourier.from_vmec_input(filename, range=range_param, nphi=nphi * 4, ntheta=ntheta * 4)
s_outer = SurfaceRZFourier.from_vmec_input(filename, range=range_param, nphi=nphi * 4, ntheta=ntheta * 4)
Expand Down Expand Up @@ -307,8 +307,10 @@ def pointData_forces_torques(coils, allcoils, aprimes, bprimes, nturns_list):
Jlength = QuadraticPenalty(sum(Jls_TF), LENGTH_TARGET, "max")

# coil-coil and coil-plasma distances should be between all coils
Jccdist = CurveCurveDistance(curves + curves_TF, CC_THRESHOLD, num_basecurves=len(coils + coils_TF))
Jcsdist = CurveSurfaceDistance(curves + curves_TF, s, CS_THRESHOLD)

### Jcc below removed the dipoles!
Jccdist = CurveCurveDistance(curves_TF, CC_THRESHOLD, num_basecurves=len(coils_TF))
Jcsdist = CurveSurfaceDistance(curves_TF, s, CS_THRESHOLD)

# While the coil array is not moving around, they cannot
# interlink.
Expand Down
69 changes: 39 additions & 30 deletions examples/3_Advanced/QA_reactorscale_fixed_dipoles.py
Original file line number Diff line number Diff line change
Expand Up @@ -41,15 +41,21 @@
range_param = "half period"
nphi = 32
ntheta = 32
poff = 1.5
coff = 0.5
poff = 2.5
coff = 3.0
s = SurfaceRZFourier.from_vmec_input(filename, range=range_param, nphi=nphi, ntheta=ntheta)
s_inner = SurfaceRZFourier.from_vmec_input(TEST_DIR / 'input.circular_tokamak', range=range_param, nphi=nphi * 4, ntheta=ntheta * 4)
s_outer = SurfaceRZFourier.from_vmec_input(TEST_DIR / 'input.circular_tokamak', range=range_param, nphi=nphi * 4, ntheta=ntheta * 4)
s_inner.set_rc(0, 0, s.get_rc(0, 0))
s_inner.set_rc(1, 0, s.get_rc(1, 0) * poff)
s_inner.set_zs(1, 0, s.get_zs(1, 0) * poff)
s_outer.set_rc(0, 0, s.get_rc(0, 0))
s_outer.set_rc(1, 0, s.get_rc(1, 0) * coff)
s_outer.set_zs(1, 0, s.get_zs(1, 0) * coff)

# Make the inner and outer surfaces by extending the plasma surface
s_inner.extend_via_normal(poff)
s_outer.extend_via_normal(poff + coff)
# s_inner.extend_via_normal(poff)
# s_outer.extend_via_normal(poff + coff)

qphi = nphi * 2
qtheta = ntheta * 2
Expand Down Expand Up @@ -142,12 +148,12 @@ def initialize_coils_QA(TEST_DIR, s):
aa = 0.05
bb = 0.05

Nx = 9
Nx = 6
Ny = Nx
Nz = Nx
# Create the initial coils:
base_curves, all_curves = create_planar_curves_between_two_toroidal_surfaces(
s, s_inner, s_outer, Nx, Ny, Nz, order=order, coil_coil_flag=True, jax_flag=True,
s, s_inner, s_outer, Nx, Ny, Nz, order=order, coil_coil_flag=False, jax_flag=True,
# numquadpoints=10 # Defaults is (order + 1) * 40 so this halves it
)
import warnings
Expand Down Expand Up @@ -183,29 +189,29 @@ def initialize_coils_QA(TEST_DIR, s):
point = (base_curves[i].get_dofs()[-3:])
dists = np.sum((point - plasma_points) ** 2, axis=-1)
min_ind = np.argmin(dists)
coil_normals[i, :] = plasma_unitnormals[min_ind, :]
# coil_normals[i, :] = -(plasma_points[min_ind, :] - point)
alphas = np.arctan2(
-coil_normals[:, 1],
np.sqrt(coil_normals[:, 0] ** 2 + coil_normals[:, 2] ** 2))
deltas = np.arcsin(coil_normals[:, 0] / \
np.sqrt(coil_normals[:, 0] ** 2 + coil_normals[:, 2] ** 2))
# coil_normals[i, :] = plasma_unitnormals[min_ind, :]
coil_normals[i, :] = (plasma_points[min_ind, :] - point)
# alphas = np.arctan2(
# -coil_normals[:, 1],
# np.sqrt(coil_normals[:, 0] ** 2 + coil_normals[:, 2] ** 2))
# deltas = np.arcsin(coil_normals[:, 0] / \
# np.sqrt(coil_normals[:, 0] ** 2 + coil_normals[:, 2] ** 2))
for i in range(len(base_curves)):
alpha2 = alphas[i] / 2.0
delta2 = deltas[i] / 2.0
calpha2 = np.cos(alpha2)
salpha2 = np.sin(alpha2)
cdelta2 = np.cos(delta2)
sdelta2 = np.sin(delta2)
base_curves[i].set('x' + str(2 * order + 1), calpha2 * cdelta2)
base_curves[i].set('x' + str(2 * order + 2), salpha2 * cdelta2)
base_curves[i].set('x' + str(2 * order + 3), calpha2 * sdelta2)
base_curves[i].set('x' + str(2 * order + 4), -salpha2 * sdelta2)
# alpha2 = alphas[i] / 2.0
# delta2 = deltas[i] / 2.0
# calpha2 = np.cos(alpha2)
# salpha2 = np.sin(alpha2)
# cdelta2 = np.cos(delta2)
# sdelta2 = np.sin(delta2)
# base_curves[i].set('x' + str(2 * order + 1), calpha2 * cdelta2)
# base_curves[i].set('x' + str(2 * order + 2), salpha2 * cdelta2)
# base_curves[i].set('x' + str(2 * order + 3), calpha2 * sdelta2)
# base_curves[i].set('x' + str(2 * order + 4), -salpha2 * sdelta2)
# Fix orientations of each coil
base_curves[i].fix('x' + str(2 * order + 1))
base_curves[i].fix('x' + str(2 * order + 2))
base_curves[i].fix('x' + str(2 * order + 3))
base_curves[i].fix('x' + str(2 * order + 4))
# base_curves[i].fix('x' + str(2 * order + 1))
# base_curves[i].fix('x' + str(2 * order + 2))
# base_curves[i].fix('x' + str(2 * order + 3))
# base_curves[i].fix('x' + str(2 * order + 4))

# Fix shape of each coil
for j in range(2 * order + 1):
Expand Down Expand Up @@ -273,7 +279,7 @@ def pointData_forces_torques(coils, allcoils, aprimes, bprimes, nturns_list):
TORQUE_WEIGHT = Weight(0.0) # Forces are in Newtons, and typical values are ~10^5, 10^6 Newtons
TORQUE_WEIGHT2 = Weight(0.0) # Forces are in Newtons, and typical values are ~10^5, 10^6 Newtons
# Directory for output
OUT_DIR = ("./QA_n{:d}_p{:.2e}_c{:.2e}_lw{:.2e}_lt{:.2e}_lkw{:.2e}" + \
OUT_DIR = ("./QA_fixeddipoles_n{:d}_p{:.2e}_c{:.2e}_lw{:.2e}_lt{:.2e}_lkw{:.2e}" + \
"_cct{:.2e}_ccw{:.2e}_cst{:.2e}_csw{:.2e}_fw{:.2e}_fww{:2e}_tw{:.2e}_tww{:2e}/").format(
ncoils, poff, coff, LENGTH_WEIGHT.value, LENGTH_TARGET, LINK_WEIGHT,
CC_THRESHOLD, CC_WEIGHT, CS_THRESHOLD, CS_WEIGHT, FORCE_WEIGHT.value,
Expand All @@ -284,6 +290,9 @@ def pointData_forces_torques(coils, allcoils, aprimes, bprimes, nturns_list):
shutil.rmtree(OUT_DIR)
os.makedirs(OUT_DIR, exist_ok=True)

s_inner.to_vtk(OUT_DIR + "s_inner")
s_outer.to_vtk(OUT_DIR + "s_outer")

curves_to_vtk(
curves_TF,
OUT_DIR + "curves_TF_0",
Expand Down Expand Up @@ -333,7 +342,7 @@ def pointData_forces_torques(coils, allcoils, aprimes, bprimes, nturns_list):

# coil-coil and coil-plasma distances should be between all coils
Jccdist = CurveCurveDistance(curves_TF, CC_THRESHOLD, num_basecurves=len(coils + coils_TF))
Jcsdist = CurveSurfaceDistance(curves_TF, s, CS_THRESHOLD)
Jcsdist = CurveSurfaceDistance(curves + curves_TF, s, CS_THRESHOLD)

# While the coil array is not moving around, they cannot
# interlink.
Expand Down Expand Up @@ -522,7 +531,7 @@ def fun(dofs):
# print('dJtorques time = ', t2 - t1, ' s')

n_saves = 1
MAXITER = 60
MAXITER = 200
for i in range(1, n_saves + 1):
print('Iteration ' + str(i) + ' / ' + str(n_saves))
res = minimize(fun, dofs, jac=True, method='L-BFGS-B',
Expand Down

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