def wradFieldRotate(self, pivot_origin, pivot_vector, rot_magnitude):
'''trying to write a rotation function
# u' = quq*
#u is point
#q is quaternion representation of rotation angle ( sin (th/2)i, sin(th/2)j, sin (th/2)k, cos (th/2))'''
q = R.from_quat([
pivot_vector[0] * np.sin(rot_magnitude / 2.0),
pivot_vector[1] * np.sin(rot_magnitude / 2.0),
pivot_vector[2] * np.sin(rot_magnitude / 2.0),
np.cos(rot_magnitude / 2.0)
])
#rotate magnetisation vector
self.magnetisation = q.apply(self.magnetisation)
self.material.M = self.magnetisation.tolist()
self.material = wrdm.wradMatLin(self.material.ksi, self.material.M)
rd.MatApl(self.radobj, self.material.radobj)
# rotate colour
q = R.from_quat([
pivot_vector[0] * np.sin(rot_magnitude / 2.0),
pivot_vector[1] * np.sin(rot_magnitude / 2.0),
pivot_vector[2] * np.sin(rot_magnitude / 2.0),
np.cos(rot_magnitude / 2.0),
])
tmpcol = [(4 * x - 2) for x in self.colour]
tmpcol = q.apply(tmpcol)
self.colour = [(2 + x) / 4.0 for x in tmpcol]
rd.ObjDrwAtr(self.radobj, self.colour, self.linethickness)
def create_radia_object(self):
"""Create radia object."""
if self._radia_object is not None:
_rad.UtiDel(self._radia_object)
if self._length == 0:
return
mat = _rad.MatLin([self._ksipar, self._ksiper],
_np.linalg.norm(self._magnetization))
if self._rectangular_shape:
center = []
width = []
height = []
for shp in self._shape:
shp = _np.array(shp)
min0 = _np.min(shp[:, 0])
max0 = _np.max(shp[:, 0])
min1 = _np.min(shp[:, 1])
max1 = _np.max(shp[:, 1])
center.append([(max0 + min0) / 2, (max1 + min1) / 2])
width.append(max0 - min0)
height.append(max1 - min1)
subblock_list = []
for ctr, wdt, hgt, div in zip(center, width, height,
self._subdivision):
subblock = _rad.ObjRecMag(
[ctr[0], ctr[1], self._longitudinal_position],
[wdt, hgt, self._length], self._magnetization)
subblock = _rad.MatApl(subblock, mat)
subblock = _rad.ObjDivMag(subblock, div, 'Frame->Lab')
subblock_list.append(subblock)
self._radia_object = _rad.ObjCnt(subblock_list)
else:
subblock_list = []
for shp, div in zip(self._shape, self._subdivision):
subblock = _rad.ObjThckPgn(self._longitudinal_position,
self._length, shp, 'z',
self._magnetization)
subblock = _rad.MatApl(subblock, mat)
subblock = _rad.ObjDivMag(subblock, div, 'Frame->Lab')
subblock_list.append(subblock)
self._radia_object = _rad.ObjCnt(subblock_list)
def build_box(center, size, material, magnetization, div):
n_mag = numpy.linalg.norm(magnetization)
g_id = radia.ObjRecMag(center, size, magnetization)
if div:
radia.ObjDivMag(g_id, div)
# do not apply a material unless a magentization of some magnitude has been set
if n_mag > 0:
radia.MatApl(g_id, radia.MatStd(material, n_mag))
return g_id
def build_model(self):
"""Build a Radia or Opera model with the current result set."""
length = self.length_spinbox.value()
if self.build_button.text() == 'Radia':
rad.UtiDelAll()
item = self.listview.selectedItems()[0]
# build magnet geometry
magnet = rad.ObjCnt([rad.ObjThckPgn(0, length, pg[2:].reshape((4, 2)).tolist(), "z", list(pg[:2]) + [0, ])
for pg in self.state['results'][tuple(item.text().split(', '))]])
rad.MatApl(magnet, rad.MatStd('NdFeB', next(c for c in self.controls if c.switch == 'Br').control.value()))
# plot geometry in 3d
ax = self.plot3d.axes
ax.cla()
ax.set_axis_off()
polygons = rad.ObjDrwVTK(magnet)['polygons']
vertices = np.array(polygons['vertices']).reshape((-1, 3)) # [x, y, z, x, y, z] -> [[x, y, z], [x, y, z]]
[set_lim(vertices.min(), vertices.max()) for set_lim in (ax.set_xlim3d, ax.set_ylim3d, ax.set_zlim3d)]
vertices = np.split(vertices, np.cumsum(polygons['lengths'])[:-1]) # split to find each face
ax.add_collection3d(Poly3DCollection(vertices, linewidths=0.1, edgecolors='black',
facecolors=self.get_colour(), alpha=0.2))
# add arrows
magnetisation = np.array(rad.ObjM(magnet)).reshape((-1, 6)).T # reshape to [x, y, z, mx, my, mz]
for end in (-1, 1): # one at each end of the block, not in the middle
magnetisation[2] = end * length / 2
ax.quiver(*magnetisation, color='black', lw=1, pivot='middle')
self.tab_control.setCurrentIndex(2) # switch to '3d' tab
# solve the model
try:
rad.Solve(magnet, 0.00001, 10000) # precision and number of iterations
except RuntimeError:
self.statusBar().showMessage('Radia solve error')
# get results
dx = 0.1
multipoles = [mpole_names.index(c.label) for c in self.controls if c.label.endswith('pole') and c.get_arg()]
i = multipoles[-1]
xs = np.linspace(-dx, dx, 4)
fit_field = np.polyfit(xs / 1000, [rad.Fld(magnet, 'by', [x, 0, 0]) for x in xs], i)
fit_int = np.polyfit(xs / 1000,
[rad.FldInt(magnet, 'inf', 'iby', [x, 0, -1], [x, 0, 1]) * 0.001 for x in xs], i)
text = ''
for j, (l, c, ic, u, iu) in enumerate(
zip(mpole_names, fit_field[::-1], fit_int[::-1], units[1:], units[:-1])):
if j in multipoles:
f = factorial(j) # 1 for dip, quad; 2 for sext; 6 for oct
text += f'{l} field = {c * f:.3g} {u}, integral = {ic * f:.3g} {iu}, length = {ic / c:.3g} m\n'
ax.text2D(1, 1, text, transform=ax.transAxes, va='top', ha='right', fontdict={'size': 8})
self.plot3d.canvas.draw()
def build_box(center, size, material, magnetization, div, h_m_curve=None):
n_mag = numpy.linalg.norm(magnetization)
g_id = radia.ObjRecMag(center, size, magnetization)
if div:
radia.ObjDivMag(g_id, div)
# do not apply a material unless a magentization of some magnitude has been set
if n_mag > 0:
if material == 'custom':
mat = radia.MatSatIsoTab(
[[_MU_0 * h_m_curve[i][0], h_m_curve[i][1]]
for i in range(len(h_m_curve))])
else:
mat = radia.MatStd(material, n_mag)
radia.MatApl(g_id, mat)
return g_id
def make_dipole(pole_dimensions,
center,
length,
current=-10000,
trimesh_mode=0,
triangle_min_size=TRIANGLE_MIN_SIZE,
triangle_max_size=TRIANGLE_MAX_SIZE,
longitudinal_divisions=4):
"""
Construct a complete H-dipole made of iron.
:param pole_dimensions: (dict) Parameters describing geometry of pole piece. See `_create_point_table`.
:param center: (float) Center point of dipole in x (longitudinal center for beam frame).
:param length: (float) Length of the dipole in x
:param current: (float) Current carried by dipole coils (default: -10000)
:param trimesh_mode: (int) If 0 (default) then the pole piece is divisioned into polygons based on point ordering
from coordinate list. If != 0 then a Triangular mesh is automatically generated.
:param longitudinal_divisions: (int) Number of slices to divide up the dipole into along the x-axis (default: 4)
:return:
"""
# coil_factor increases coil size slightly to accommodate sharp corners of pole piece
coil_length_factor = 1.005
coil_height_factor = 3. / 4.
coil_or_factor = 0.85
# Geometry for the poles
table_quadrant_one = _create_point_table(**pole_dimensions)
top_coodinates = _get_all_points_top(table_quadrant_one)
bottom_coordinates = _get_all_points_bottom(top_coodinates)
top_pole = create_pole(top_coodinates,
center,
length,
mode=trimesh_mode,
triangle_min_size=triangle_min_size,
triangle_max_size=triangle_max_size)
bottom_pole = create_pole(bottom_coordinates,
center,
length,
mode=trimesh_mode,
triangle_min_size=triangle_min_size,
triangle_max_size=triangle_max_size)
# Material for the poles (uses Iron)
ironmat = rad.MatSatIsoFrm([20000, 2], [0.1, 2], [0.1, 2])
rad.MatApl(top_pole, ironmat)
rad.MatApl(bottom_pole, ironmat)
# Coils
coil_outer_radius = pole_dimensions['pole_separation'] * coil_or_factor
top_coil = make_racetrack_coil(
center=[
0, 0.0,
pole_dimensions['gap_height'] + pole_dimensions['pole_height'] / 2.
],
radii=[0.1, coil_outer_radius],
sizes=[
length * coil_length_factor,
pole_dimensions['pole_width'] * 2 * coil_length_factor,
pole_dimensions['pole_height'] * coil_height_factor
],
current=current)
bottom_coil = make_racetrack_coil(center=[
0, 0.0, -1. *
(pole_dimensions['gap_height'] + pole_dimensions['pole_height'] / 2.)
],
radii=[0.1, coil_outer_radius],
sizes=[
length * coil_length_factor,
pole_dimensions['pole_width'] * 2 *
coil_length_factor,
pole_dimensions['pole_height'] *
coil_height_factor
],
current=current)
# Visualization
rad.ObjDrwAtr(top_pole, [0, 0.4, 0.8])
rad.ObjDrwAtr(bottom_pole, [0, 0.4, 0.8])
rad.ObjDrwAtr(top_coil, [0.2, 0.9, 0.6])
rad.ObjDrwAtr(bottom_coil, [0.2, 0.9, 0.6])
# Element Division
rad.ObjDivMag(top_pole, [longitudinal_divisions, 1, 1])
rad.ObjDivMag(bottom_pole, [longitudinal_divisions, 1, 1])
return rad.ObjCnt([top_pole, bottom_pole, top_coil, bottom_coil])
def build_cuboid(center, size, material, magnetization, rem_mag, segments, h_m_curve=None):
g_id = radia.ObjRecMag(center, size, magnetization)
if segments and any([s > 1 for s in segments]):
radia.ObjDivMag(g_id, segments)
radia.MatApl(g_id, _radia_material(material, rem_mag, h_m_curve))
return g_id
def HybridUndCenPart(_gap,
_gap_ofst,
_nper,
_air,
_lp,
_ch_p,
_np,
_np_tip,
_mp,
_cp,
_lm,
_ch_m_xz,
_ch_m_yz,
_ch_m_yz_r,
_nm,
_mm,
_cm,
_use_ex_sym=False):
zer = [0, 0, 0]
grp = rad.ObjCnt([])
y = _lp[1] / 4
initM = [0, -1, 0]
pole = rad.ObjFullMag([_lp[0] / 4, y, -_lp[2] / 2 - _gap / 2 - _ch_p],
[_lp[0] / 2, _lp[1] / 2, _lp[2]], zer,
[_np[0], int(_np[1] / 2 + 0.5), _np[2]], grp, _mp,
_cp)
if (_ch_p > 0.): # Pole Tip
poleTip = rad.ObjThckPgn(
_lp[0] / 4, _lp[0] / 2,
[[y - _lp[1] / 4, -_gap / 2 - _ch_p], [y - _lp[1] / 4, -_gap / 2],
[y + _lp[1] / 4 - _ch_p, -_gap / 2],
[y + _lp[1] / 4, -_gap / 2 - _ch_p]], zer)
rad.ObjDivMag(
poleTip,
[_np_tip[0], int(_np_tip[1] / 2 + 0.5), _np_tip[2]])
rad.MatApl(poleTip, _mp)
rad.ObjDrwAtr(poleTip, _cp)
rad.ObjAddToCnt(grp, [poleTip])
y += _lp[1] / 4 + _air + _lm[1] / 2
for i in range(_nper):
magnet = rad.ObjThckPgn(
_lm[0] / 4, _lm[0] / 2,
[[y + _lm[1] / 2 - _ch_m_yz_r * _ch_m_yz, -_gap / 2 - _gap_ofst],
[y + _lm[1] / 2, -_gap / 2 - _gap_ofst - _ch_m_yz],
[y + _lm[1] / 2, -_gap / 2 - _gap_ofst - _lm[2] + _ch_m_yz],
[
y + _lm[1] / 2 - _ch_m_yz_r * _ch_m_yz,
-_gap / 2 - _gap_ofst - _lm[2]
],
[
y - _lm[1] / 2 + _ch_m_yz_r * _ch_m_yz,
-_gap / 2 - _gap_ofst - _lm[2]
], [y - _lm[1] / 2, -_gap / 2 - _gap_ofst - _lm[2] + _ch_m_yz],
[y - _lm[1] / 2, -_gap / 2 - _gap_ofst - _ch_m_yz],
[y - _lm[1] / 2 + _ch_m_yz_r * _ch_m_yz, -_gap / 2 - _gap_ofst]],
initM)
# Cuting Magnet Corners
magnet = rad.ObjCutMag(
magnet, [_lm[0] / 2 - _ch_m_xz, 0, -_gap / 2 - _gap_ofst],
[1, 0, 1])[0]
magnet = rad.ObjCutMag(
magnet, [_lm[0] / 2 - _ch_m_xz, 0, -_gap / 2 - _gap_ofst - _lm[2]],
[1, 0, -1])[0]
rad.ObjDivMag(magnet, _nm)
rad.MatApl(magnet, _mm)
rad.ObjDrwAtr(magnet, _cm)
rad.ObjAddToCnt(grp, [magnet])
initM[1] *= -1
y += _lm[1] / 2 + _lp[1] / 2 + _air
if (i < _nper - 1):
pole = rad.ObjFullMag(
[_lp[0] / 4, y, -_lp[2] / 2 - _gap / 2 - _ch_p],
[_lp[0] / 2, _lp[1], _lp[2]], zer, _np, grp, _mp, _cp)
if (_ch_p > 0.): # Pole Tip
poleTip = rad.ObjThckPgn(_lp[0] / 4, _lp[0] / 2,
[[y - _lp[1] / 2, -_gap / 2 - _ch_p],
[y - _lp[1] / 2 + _ch_p, -_gap / 2],
[y + _lp[1] / 2 - _ch_p, -_gap / 2],
[y + _lp[1] / 2, -_gap / 2 - _ch_p]],
zer)
rad.ObjDivMag(poleTip, _np_tip)
rad.MatApl(poleTip, _mp)
rad.ObjDrwAtr(poleTip, _cp)
rad.ObjAddToCnt(grp, [poleTip])
y += _lm[1] / 2 + _lp[1] / 2 + _air
y -= _lp[1] / 4
pole = rad.ObjFullMag([_lp[0] / 4, y, -_lp[2] / 2 - _gap / 2 - _ch_p],
[_lp[0] / 2, _lp[1] / 2, _lp[2]], zer,
[_np[0], int(_np[1] / 2 + 0.5), _np[2]], grp, _mp,
_cp)
if (_ch_p > 0.): # Pole Tip
poleTip = rad.ObjThckPgn(
_lp[0] / 4, _lp[0] / 2,
[[y - _lp[1] / 4, -_gap / 2 - _ch_p],
[y - _lp[1] / 4 + _ch_p, -_gap / 2], [y + _lp[1] / 4, -_gap / 2],
[y + _lp[1] / 4, -_gap / 2 - _ch_p]], zer)
rad.ObjDivMag(
poleTip,
[_np_tip[0], int(_np_tip[1] / 2 + 0.5), _np_tip[2]])
rad.MatApl(poleTip, _mp)
rad.ObjDrwAtr(poleTip, _cp)
rad.ObjAddToCnt(grp, [poleTip])
# Symmetries
if (
_use_ex_sym
): # Some "non-physical" mirroring (applicable for calculation of central field only)
y += _lp[1] / 4
rad.TrfZerPerp(grp, [0, y, 0], [0, 1, 0]) # Mirror left-right
rad.TrfZerPerp(grp, [0, 2 * y, 0], [0, 1, 0])
# #"Physical" symmetries (applicable also for calculation of total structure with terminations)
# rad.TrfZerPerp(grp, zer, [0,1,0]) #Mirror left-right
# #Mirror front-back
# rad.TrfZerPerp(grp, zer, [1,0,0])
# #Mirror top-bottom
# rad.TrfZerPara(grp, zer, [0,0,1])
return grp
mag10 = rad.ObjRaceTrk([0,0,0], [27,28], [1,2.5], 5, 15, 1.7, 'man', 'z')
mag11 = rad.ObjFlmCur([[-10,-30,-10],[30,-30,-10],[30,25,25],[-30,25,25],[-30,-30,-10]], 10.2)
magBkg = rad.ObjBckg([1,2,3])
mag = rad.ObjCnt([mag00, mag01, mag02, mag03, mag04, mag05, mag06, mag07, mag08, mag09])
print('Container Content:', rad.ObjCntStuf(mag))
print('Container Size:', rad.ObjCntSize(mag))
rad.ObjAddToCnt(mag, [mag10, mag11])
cnt02 = rad.ObjCnt([mag00, mag])
mat = rad.MatLin([1.01, 1.2], [0, 0, 1.3])
#mat = rad.MatStd('NdFeB', 1.2)
rad.MatApl(mag01, mat)
print('Magn. Material index:', mat, ' appled to object:', mag01)
mag00a = rad.ObjFullMag([10,0,40],[12,18,5],[0,0,1],[2,2,2],cnt02,mat,[0.5,0,0])
rad.ObjDrwOpenGL(cnt02)
data_cnt = rad.ObjDrwVTK(cnt02)
print(data_cnt)
objAfterCut = rad.ObjCutMag(mag00a,[10,0,40],[1,1,1]) #,'Frame->Lab')
print('Indexes of objects after cutting:', objAfterCut)
#rad.ObjDrwOpenGL(objAfterCut[0])
print(rad.UtiDmp(mag01, 'asc'))
def geom(circ):
eps = 0
ironcolor = [0, 0.5, 1]
coilcolor = [1, 0, 0]
ironmat = radia.MatSatIsoFrm([20000, 2], [0.1, 2], [0.1, 2])
# Pole faces
lx1 = thick / 2
ly1 = width
lz1 = 20
l1 = [lx1, ly1, lz1]
k1 = [[thick / 4. - chamfer / 2., 0, gap / 2.],
[thick / 2. - chamfer, ly1 - 2. * chamfer]]
k2 = [[thick / 4., 0., gap / 2. + chamfer], [thick / 2., ly1]]
k3 = [[thick / 4., 0., gap / 2. + lz1], [thick / 2, ly1]]
g1 = radia.ObjMltExtRtg([k1, k2, k3])
radia.ObjDivMag(g1, n1)
radia.ObjDrwAtr(g1, ironcolor)
# Vertical segment on top of pole faces
lx2 = thick / 2
ly2 = ly1
lz2 = 30
l2 = [lx2, ly2, lz2]
p2 = [thick / 4, 0, lz1 + gap / 2 + lz2 / 2 + 1 * eps]
g2 = radia.ObjRecMag(p2, l2)
radia.ObjDivMag(g2, n2)
radia.ObjDrwAtr(g2, ironcolor)
# Corner
lx3 = thick / 2
ly3 = ly2
lz3 = ly2 * 1.25
l3 = [lx3, ly3, lz3]
p3 = [thick / 4, 0, lz1 + gap / 2 + lz2 + lz3 / 2 + 2 * eps]
g3 = radia.ObjRecMag(p3, l3)
typ = [
[p3[0], p3[1] + ly3 / 2, p3[2] - lz3 / 2],
[1, 0, 0],
[p3[0], p3[1] - ly3 / 2, p3[2] - lz3 / 2],
lz3 / ly3
]
if circ == 1:
radia.ObjDivMag(g3, [nbr, nbp, n3[1]], 'cyl', typ)
else:
radia.ObjDivMag(g3, n3)
radia.ObjDrwAtr(g3, ironcolor)
# Horizontal segment between the corners
lx4 = thick / 2
ly4 = 80
lz4 = lz3
l4 = [lx4, ly4, lz4]
p4 = [thick / 4, ly3 / 2 + eps + ly4 / 2, p3[2]]
g4 = radia.ObjRecMag(p4, l4)
radia.ObjDivMag(g4, n4)
radia.ObjDrwAtr(g4, ironcolor)
# The other corner
lx5 = thick / 2
ly5 = lz4 * 1.25
lz5 = lz4
l5 = [lx5, ly5, lz5]
p5 = [thick / 4, p4[1] + eps + (ly4 + ly5) / 2, p4[2]]
g5 = radia.ObjRecMag(p5, l5)
typ = [
[p5[0], p5[1] - ly5 / 2, p5[2] - lz5 / 2],
[1, 0, 0],
[p5[0], p5[1] + ly5 / 2, p5[2] - lz5 / 2],
lz5 / ly5
]
if circ == 1:
radia.ObjDivMag(g5, [nbr, nbp, n5[0]], 'cyl', typ)
else:
radia.ObjDivMag(g5, n5)
radia.ObjDrwAtr(g5, ironcolor)
# Vertical segment inside the coil
lx6 = thick / 2
ly6 = ly5
lz6 = gap / 2 + lz1 + lz2
l6 = [lx6, ly6, lz6]
p6 = [thick / 4, p5[1], p5[2] - (lz6 + lz5) / 2 - eps]
g6 = radia.ObjRecMag(p6, l6)
radia.ObjDivMag(g6, n6)
radia.ObjDrwAtr(g6, ironcolor)
# Generation of the coil
r_min = 5
r_max = 40
h = 2 * lz6 - 5
cur_dens = current / h / (r_max - r_min)
pc = [0, p6[1], 0]
coil = radia.ObjRaceTrk(pc, [r_min, r_max], [thick, ly6], h, 3, cur_dens)
radia.ObjDrwAtr(coil, coilcolor)
# Make container and set the colors
g = radia.ObjCnt([g1, g2, g3, g4, g5, g6])
radia.ObjDrwAtr(g, ironcolor)
radia.MatApl(g, ironmat)
t = radia.ObjCnt([g, coil])
# Define the symmetries
radia.TrfZerPerp(g, [0, 0, 0], [1, 0, 0])
radia.TrfZerPara(g, [0, 0, 0], [0, 0, 1])
return t
Points = []
for i in range(nz):
Points.append([xc, yc, z])
Z.append(z)
z += zStep
ByVsZ = rad.Fld(g, 'by', Points)
return ByVsX, [xMin, xMax, nx], X, ByVsZ, [zMin, zMax, nz], Z
#main
mat = Material()
yoke = Yoke()
#rad.ObjDrwOpenGL(yoke)
excitation = 4832.5
rad.MatApl(yoke, mat)
coil = Coil(excitation)
#rad.ObjDrwOpenGL(coil)
rad.TrfZerPara(yoke, [0, 0, 0], [1, 0, 0])
rad.TrfZerPara(yoke, [0, 0, 0], [0, 1, 0])
rad.TrfZerPerp(yoke, [0, 0, 0], [0, 0, 1])
rad.TrfZerPara(coil, [0, 0, 0], [1, 0, 0])
rad.TrfZerPara(coil, [0, 0, 0], [0, 1, 0])
full = rad.ObjCnt([yoke, coil])
#rad.ObjDrwOpenGL(full)
def wradMatAppl(self, material):
self.material = copy.deepcopy(material)
self.magnetisation = copy.deepcopy(self.material.M)
self.radobj = rd.MatApl(self.radobj, self.material.radobj)
def build(self):
"""Create a quadrupole with the given geometry."""
if self.solve_state < SolveState.SHAPES:
self.define_shapes()
rad.UtiDelAll()
origin = [0, 0, 0]
nx = [1, 0, 0]
ny = [0, 1, 0]
nz = [0, 0, 1]
tip_mesh = round(self.min_mesh)
pole_mesh = round(self.min_mesh * self.pole_mult)
yoke_mesh = round(self.min_mesh * self.yoke_mult)
length = self.length
# Subdivide the pole tip cylindrically. The axis is where the edge of the tapered pole meets the Y-axis.
points = rotate45(self.tip_points)
x2, y2 = points[-2] # top right of pole
x3, y3 = points[-3] # bottom right of pole
m = (y2 - y3) / (x2 - x3)
c = y2 - m * x2
pole_tip = rad.ObjThckPgn(length / 2, length, points, "z")
# Slice off the chamfer (note the indexing at the end here - selects the pole not the cut-off piece)
pole_tip = rad.ObjCutMag(pole_tip, [length - self.chamfer, 0, self.r], [1, 0, -1])[0]
n_div = max(1, round(math.sqrt((x2 - x3) ** 2 + (y2 - y3) ** 2) / pole_mesh))
# We have to specify the q values here (second element of each sublist in the subdivision argument)
# otherwise weird things happen
mesh = [[n_div, 4], [tip_mesh / 3, 1], [tip_mesh, 1]]
div_opts = 'Frame->Lab;kxkykz->Size'
# rad.ObjDivMag(pole_tip, [[tip_mesh, 1], [tip_mesh, 1], [tip_mesh, 3]], div_opts)
rad.ObjDivMag(pole_tip, mesh, "cyl", [[[0, c, 0], nz], nx, 1], div_opts)
rad.TrfOrnt(pole_tip, rad.TrfRot(origin, nz, -math.pi / 4))
pole = rad.ObjThckPgn(length / 2, length, rotate45(self.pole_points), "z")
rad.ObjDivMag(pole, [pole_mesh, ] * 3, div_opts)
rad.TrfOrnt(pole, rad.TrfRot(origin, nz, -math.pi / 4))
# Need to split yoke since Radia can't build concave blocks
points = rotate45(self.yoke_points[:2] + self.yoke_points[-2:])
# yoke1 is the part that joins the pole to the yoke
# Subdivide this cylindrically since the flux goes around a corner here
# The axis is the second point (x1, y1)
x1, y1 = points[1]
yoke1 = rad.ObjThckPgn(length / 2, length, points, "z")
cyl_div = [[[x1, y1, 0], nz], [self.width, self.width, 0], 1]
# The first (kr) argument, corresponding to radial subdivision,
# in rad.ObjDivMag cuts by number not size even though kxkykz->Size is specified.
# So we have to fudge this. It seems to require a larger number to give the right number of subdivisions.
n_div = max(1, round(2 * self.width / yoke_mesh))
rad.ObjDivMag(yoke1, [n_div, yoke_mesh, yoke_mesh], "cyl", cyl_div, div_opts)
rad.TrfOrnt(yoke1, rad.TrfRot(origin, nz, -math.pi / 4))
# For the second part of the yoke, we use cylindrical subdivision again. But the axis is not on the corner;
# instead we calculate the point where the two lines converge (xc, yc).
points = self.yoke_points[1:3] + self.yoke_points[-3:-1]
x0, y0 = points[0]
x1, y1 = points[1]
x2, y2 = points[2]
x3, y3 = points[3]
m1 = (y3 - y0) / (x3 - x0)
m2 = (y2 - y1) / (x2 - x1)
c1 = y0 - m1 * x0
c2 = y1 - m2 * x1
xc = (c2 - c1) / (m1 - m2)
yc = m1 * xc + c1
yoke2 = rad.ObjThckPgn(length / 2, length, points, 'z')
cyl_div = [[[xc, yc, 0], nz], [x3 - xc, y3 - yc, 0], 1]
n_div = max(1, round(0.7 * n_div)) # this is a bit of a fudge
rad.ObjDivMag(yoke2, [n_div, yoke_mesh, yoke_mesh], "cyl", cyl_div, div_opts)
yoke3 = rad.ObjThckPgn(length / 2, length, self.yoke_points[2:6], "z")
rad.ObjDivMag(yoke3, [yoke_mesh, ] * 3, div_opts)
steel = rad.ObjCnt([pole_tip, pole, yoke1, yoke2, yoke3])
rad.ObjDrwAtr(steel, [0, 0, 1], 0.001) # blue steel
rad.TrfOrnt(steel, rad.TrfRot(origin, ny, -math.pi / 2))
rad.ObjDrwOpenGL(steel)
rad.TrfOrnt(steel, rad.TrfRot(origin, ny, math.pi / 2))
# rad.TrfMlt(steel, rad.TrfPlSym([0, 0, 0], [1, -1, 0]), 2) # reflect along X=Y line to create a quadrant
rad.TrfZerPerp(steel, origin, [1, -1, 0])
rad.TrfZerPerp(steel, origin, nz)
steel_material = rad.MatSatIsoFrm([2000, 2], [0.1, 2], [0.1, 2])
steel_material = rad.MatStd('Steel42')
steel_material = rad.MatSatIsoFrm([959.703184, 1.41019852], [33.9916543, 0.5389669], [1.39161186, 0.64144324])
rad.MatApl(steel, steel_material)
coil = rad.ObjRaceTrk(origin, [5, 5 + self.coil_width],
[self.coil_x * 2 - self.r, length * 2], self.coil_height, 4, self.current_density)
rad.TrfOrnt(coil, rad.TrfRot(origin, nx, -math.pi / 2))
rad.TrfOrnt(coil, rad.TrfTrsl([0, self.r + self.taper_height + self.coil_height / 2, 0]))
rad.TrfOrnt(coil, rad.TrfRot(origin, nz, -math.pi / 4))
rad.ObjDrwAtr(coil, [1, 0, 0], 0.001) # red coil
quad = rad.ObjCnt([steel, coil])
rad.TrfZerPara(quad, origin, nx)
rad.TrfZerPara(quad, origin, ny)
# rad.ObjDrwOpenGL(quad)
self.radia_object = quad
self.solve_state = SolveState.BUILT
def MagnetArray(_per, _nper, _po, _w, _si, _type, _cx, _cz, _br, _mu, _ndiv, _bs1, _s1, _bs2, _s2, _bs3, _s3, _bs2dz=0, _qp_ind_mag=None, _qp_dz=0):
u = rad.ObjCnt([])
Le = _bs1+_s1+_bs2+_s2+_bs3+_s3
Lc = (_nper+0.25)*_per
p = [_po[0],_po[1]-(Lc/2+Le),_po[2]] #po-{0,(Lc/2+Le),0}
nMagTot = 4*_nper+7
iMagCen = int(nMagTot/2.) #0-based index of the central magnet
#print('iMagCen =', iMagCen) #DEBUG
QP_IsDef = False; QP_DispIsConst = True
nQP_Disp = 0
if(_qp_ind_mag is not None):
if(isinstance(_qp_ind_mag, list) or isinstance(_qp_ind_mag, array)):
nQP_Disp = len(_qp_ind_mag)
if(nQP_Disp > 0): QP_IsDef = True
if(isinstance(_qp_dz, list) or isinstance(_qp_dz, array)): QP_DispIsConst = False
elif(_qp_dz==0): QP_IsDef = False
for i in range(nMagTot):
wc = copy(_w)
if(i==0):
p[1] += _bs1/2
wc[1] = _bs1
elif(i==1):
p[1] += _bs1/2+_s1+_bs2/2
wc[1] = _bs2
elif(i==2):
p[1] += _bs2/2+_s2+_bs3/2
wc[1] = _bs3
elif(i==3):
p[1] += _bs3/2+_s3+_per/8
elif((i>3) and (i<4*_nper+4)):
p[1] += _per/4
elif(i==4*_nper+4):
p[1] += _per/8+_s3+_bs3/2
wc[1] = _bs3
elif(i==4*_nper+5):
p[1] += _bs3/2+_s2+_bs2/2
wc[1] = _bs2
elif(i==4*_nper+6):
p[1] += _bs2/2+_s1+_bs1/2
wc[1] = _bs1
pc = copy(p)
if((i==1) or (i==4*_nper+5)):
if(_si==1): pc[2] += _bs2dz
else: pc[2] -= _bs2dz
if(QP_IsDef):
for iQP in range(nQP_Disp):
if(i == _qp_ind_mag[iQP] + iMagCen):
qpdz = _qp_dz
if(not QP_DispIsConst): qpdz = _qp_dz[iQP]
pc[2] += qpdz
#print('Abs. Ind. of Mag. to be Displaced:', i) #DEBUG
break
t = -i*pi/2*_si
mcol = [0.0,cos(t),sin(t)]
m = [mcol[0],mcol[1]*_br,mcol[2]*_br]
ma = MagnetBlock(pc, wc, _cx, _cz, _type, _ndiv, m)
mcol = [0.27, 0.9*abs(mcol[1]), 0.9*abs(mcol[2])]
rad.ObjDrwAtr(ma, mcol, 0.0001)
rad.ObjAddToCnt(u, [ma])
mat = rad.MatLin(_mu, abs(_br))
rad.MatApl(u, mat)
return u
def Geom():
#Pole faces
rap = 0.5
ct = [0, 0, 0]
z0 = gap / 2
y0 = width / 2
amax = hyp * asinh(y0 / z0)
dz = z0 * (cosh(amax) - 1)
aStep = amax / np
na = int(amax * (1 + 2 / np) / aStep) + 1
qq = [[(z0 * sinh(ia * aStep / hyp)), (z0 * cosh(ia * aStep))]
for ia in range(na)]
hh = qq[np][1] + height * rap - dz
qq[np + 1] = [qq[np][0], hh]
qq[np + 2] = [0, hh]
g1 = rad.ObjThckPgn(thick / 4, thick / 2, qq)
rad.ObjDivMag(g1, n1)
#Vertical segment on top of pole faces
g2 = rad.ObjRecMag(
[thick / 4, width / 4, gap / 2 + height * (1 / 2 + rap / 2)],
[thick / 2, width / 2, height * (1 - rap)])
rad.ObjDivMag(g2, n2)
#Corner
gg = rad.ObjCnt([g1, g2])
gp = rad.ObjCutMag(gg, [thick / 2 - chamfer - gap / 2, 0, 0],
[1, 0, -1])[0]
g3 = rad.ObjRecMag([thick / 4, width / 4, gap / 2 + height + depth / 2],
[thick / 2, width / 2, depth])
cy = [[[0, width / 2, gap / 2 + height], [1, 0, 0]],
[0, 0, gap / 2 + height], 2 * depth / width]
rad.ObjDivMag(g3, [nr3, np3, nx], 'cyl', cy)
#Horizontal segment between the corners
tan_n = tan(2 * pi / 2 / Nn)
length = tan_n * (height + gap / 2) - width / 2
g4 = rad.ObjRecMag(
[thick / 4, width / 2 + length / 2, gap / 2 + height + depth / 2],
[thick / 2, length, depth])
rad.ObjDivMag(g4, n4)
#The other corner
posy = width / 2 + length
posz = posy / tan_n
g5 = rad.ObjThckPgn(thick / 4, thick / 2,
[[posy, posz], [posy, posz + depth],
[posy + depth * tan_n, posz + depth]])
cy = [[[0, posy, posz], [1, 0, 0]], [0, posy, posz + depth], 1]
rad.ObjDivMag(g5, [nr5, np5, nx], 'cyl', cy)
#Generation of the coil
Rmax = Rmin - width / 2 + gap / 2 + offset - 2
coil1 = rad.ObjRaceTrk([0, 0, gap / 2 + height / 2 + offset / 2],
[Rmin, Rmax], [thick, width - 2 * Rmin],
height - offset, 3, CurDens)
rad.ObjDrwAtr(coil1, coilcolor)
hh = (height - offset) / 2
coil2 = rad.ObjRaceTrk([0, 0, gap / 2 + height - hh / 2],
[Rmax, Rmax + hh * 0.8], [thick, width - 2 * Rmin],
hh, 3, CurDens)
rad.ObjDrwAtr(coil2, coilcolor)
#Make container, set the colors and define symmetries
g = rad.ObjCnt([gp, g3, g4, g5])
rad.ObjDrwAtr(g, ironcolor)
gd = rad.ObjCnt([g])
rad.TrfZerPerp(gd, ct, [1, 0, 0])
rad.TrfZerPerp(gd, ct, [0, 1, 0])
t = rad.ObjCnt([gd, coil1, coil2])
rad.TrfZerPara(t, ct, [0, cos(pi / Nn), sin(pi / Nn)])
rad.TrfMlt(t, rad.TrfRot(ct, [1, 0, 0], 4 * pi / Nn), int(round(Nn / 2)))
rad.MatApl(g, ironmat)
rad.TrfOrnt(t, rad.TrfRot([0, 0, 0], [1, 0, 0], pi / Nn))
return t