# -*- coding: utf-8 -*-
from numpy import angle
from scipy.optimize import fsolve
from ....Classes.Arc1 import Arc1
from ....Classes.Segment import Segment
from ....Classes.SurfLine import SurfLine
[docs]def build_geometry_wind(self, Nrad, Ntan, is_simplified=False, alpha=0, delta=0):
"""Split the slot winding area in several zone
Parameters
----------
self : SlotW15
A SlotW15 object
Nrad : int
Number of radial layer
Ntan : int
Number of tangentiel layer
is_simplified : bool
boolean to specify if coincident lines are considered as one or different lines (Default value = False)
alpha : float
Angle for rotation (Default value = 0) [rad]
delta : Complex
complex for translation (Default value = 0)
Returns
-------
surf_list:
List of surface delimiting the winding zone
"""
if self.get_is_stator(): # check if the slot is on the stator
st = "S"
else:
st = "R"
[
Z13,
Z12,
Z11,
Z10,
Z9,
Z8,
Z7,
Z6,
Z5,
Z4,
Z3,
Z2,
Z1,
] = self._comp_point_coordinate()
Ztan1 = (Z2 + Z12) / 2.0
Ztan2 = Z7
Zmid = (Ztan1 + Ztan2) / 2.0
# Zrad1 between Z10 and Z9
x = fsolve(lambda x: angle((Z10 - (Zmid + 1j * x)) / (Z10 - Z9)), -self.R1)
Zrad1 = Zmid + 1j * x[0]
Zrad2 = Zrad1.conjugate()
# We can split in rad only if Zrad1 is between Z10 and Z9
is_rad_splittable = Z10.real < Zrad1.real and Zrad1.real < Z9.real
# Creation of curve
surf_list = list()
if Nrad == 1 and Ntan == 2:
if is_simplified:
# Part 1 (0,0)
line1 = Segment(Z12, Ztan1)
line2 = Segment(Ztan1, Ztan2)
point_ref = (Z12 + Ztan1 + Ztan2 + Z8 + Z9 + Z10 + Z11) / 7
surface = SurfLine(
line_list=[line1, line2],
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (0,1)
line1 = Segment(Ztan1, Z2)
point_ref = (Ztan1 + Z2 + Z3 + Z4 + Z5 + Z6 + Ztan2) / 7
surface = SurfLine(
line_list=[line1], label="Wind" + st + "_R0_T1_S0", point_ref=point_ref
)
surf_list.append(surface)
else:
# Part 1 (0,0)
line1 = Segment(Z12, Ztan1)
line2 = Segment(Ztan1, Ztan2)
line3 = Arc1(Ztan2, Z8, -abs(Z7))
line4 = Arc1(Z8, Z9, -self.R2, is_trigo_direction=False)
line5 = Segment(Z9, Z10)
line6 = Arc1(Z10, Z11, -self.R1, is_trigo_direction=False)
line7 = Segment(Z11, Z12)
point_ref = (Z12 + Ztan1 + Ztan2 + Z8 + Z9 + Z10 + Z11) / 7
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5, line6, line7],
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (0,1)
line1 = Segment(Ztan1, Z2)
line2 = Segment(Z2, Z3)
line3 = Arc1(Z3, Z4, -self.R1, is_trigo_direction=False)
line4 = Segment(Z4, Z5)
line5 = Arc1(Z5, Z6, -self.R2, is_trigo_direction=False)
line6 = Arc1(Z6, Ztan2, -abs(Z7))
point_ref = (Ztan1 + Z2 + Z3 + Z4 + Z5 + Z6 + Ztan2) / 7
line7 = Segment(Ztan2, Ztan1)
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5, line6, line7],
label="Wind" + st + "_R0_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
elif Nrad == 2 and Ntan == 1 and is_rad_splittable:
if is_simplified:
# Part 1 (0,0)
line1 = Segment(Z12, Z2)
line2 = Segment(Zrad1, Zrad2)
point_ref = (Z12 + Z2 + Z3 + Z4 + Zrad2 + Zrad1 + Z10 + Z11) / 8
surface = SurfLine(
line_list=[line1, line2],
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (1,0)
point_ref = (Zrad1 + Zrad2 + Z5 + Z6 + Z8 + Z9) / 6
surface = SurfLine(
line_list=[], label="Wind" + st + "_R1_T0_S0", point_ref=point_ref
)
surf_list.append(surface)
else:
# Part 1 (0,0)
line1 = Segment(Z12, Z2)
line2 = Segment(Z2, Z3)
line3 = Arc1(Z3, Z4, -self.R1, is_trigo_direction=False)
line4 = Segment(Z4, Zrad2)
line5 = Segment(Zrad2, Zrad1)
line6 = Segment(Zrad1, Z10)
line7 = Arc1(Z10, Z11, -self.R1, is_trigo_direction=False)
line8 = Segment(Z11, Z12)
point_ref = (Z12 + Z2 + Z3 + Z4 + Zrad2 + Zrad1 + Z10 + Z11) / 8
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5, line6, line7, line8],
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (1,0)
line1 = Segment(Zrad1, Zrad2)
line2 = Segment(Zrad2, Z5)
line3 = Arc1(Z5, Z6, -self.R2, is_trigo_direction=False)
line4 = Arc1(Z6, Z8, -abs(Z7), is_trigo_direction=False)
line5 = Arc1(Z8, Z9, -self.R2, is_trigo_direction=False)
line6 = Segment(Z9, Zrad1)
point_ref = (Zrad1 + Zrad2 + Z5 + Z6 + Z8 + Z9) / 6
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5, line6],
label="Wind" + st + "_R1_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
elif Nrad == 2 and Ntan == 2 and is_rad_splittable:
if is_simplified:
# Part 1 (0,0)
line1 = Segment(Z12, Ztan1)
line2 = Segment(Ztan1, Zmid)
line3 = Segment(Zmid, Zrad1)
line4 = Segment(Zrad1, Z10)
line5 = Arc1(Z10, Z11, -self.R1, is_trigo_direction=False)
line6 = Segment(Z11, Z12)
point_ref = (Z12 + Ztan1 + Zmid + Zrad1 + Z10 + Z11) / 6
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5, line6],
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (1,0)
line2 = Segment(Zmid, Ztan2)
line3 = Arc1(Ztan2, Z8, -abs(Z7), is_trigo_direction=False)
line4 = Arc1(Z8, Z9, -self.R2, is_trigo_direction=False)
line5 = Segment(Z9, Zrad1)
point_ref = (Zrad1 + Zmid + Ztan2 + Z8 + Z9) / 5
line1 = Segment(Zrad1, Zmid)
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5],
label="Wind" + st + "_R1_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part 3 (0,1)
line1 = Segment(Ztan1, Z2)
line2 = Segment(Z2, Z3)
line3 = Arc1(Z3, Z4, -self.R1, is_trigo_direction=False)
line4 = Segment(Z4, Zrad2)
line5 = Segment(Zrad2, Zmid)
line6 = Segment(Zmid, Ztan1)
point_ref = (Ztan1 + Z2 + Z3 + Z4 + Zrad2 + Zmid) / 6
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5, line6],
label="Wind" + st + "_R0_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part4 (1,1)
line1 = Segment(Zmid, Zrad2)
line2 = Segment(Zrad2, Z5)
line3 = Arc1(Z5, Z6, -self.R2, is_trigo_direction=False)
line4 = Arc1(Z6, Ztan2, -abs(Z7), is_trigo_direction=False)
line5 = Segment(Ztan2, Zmid)
point_ref = (Zmid + Zrad2 + Z5 + Z6 + Ztan2) / 5
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5],
label="Wind" + st + "_R1_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
else:
# Part 1 (0,0)
line1 = Segment(Z12, Ztan1)
line2 = Segment(Ztan1, Zmid)
line3 = Segment(Zmid, Zrad1)
line4 = Segment(Zrad1, Z10)
line5 = Arc1(Z10, Z11, -self.R1, is_trigo_direction=False)
line6 = Segment(Z11, Z12)
point_ref = (Z12 + Ztan1 + Zmid + Zrad1 + Z10 + Z11) / 6
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5, line6],
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (1,0)
line2 = Segment(Zmid, Ztan2)
line3 = Arc1(Ztan2, Z8, -abs(Z7), is_trigo_direction=False)
line4 = Arc1(Z8, Z9, -self.R2, is_trigo_direction=False)
line5 = Segment(Z9, Zrad1)
point_ref = (Zrad1 + Zmid + Ztan2 + Z8 + Z9) / 5
line1 = Segment(Zrad1, Zmid)
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5],
label="Wind" + st + "_R1_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part 3 (0,1)
line1 = Segment(Ztan1, Z2)
line2 = Segment(Z2, Z3)
line3 = Arc1(Z3, Z4, -self.R1, is_trigo_direction=False)
line4 = Segment(Z4, Zrad2)
line5 = Segment(Zrad2, Zmid)
line6 = Segment(Zmid, Ztan1)
point_ref = (Ztan1 + Z2 + Z3 + Z4 + Zrad2 + Zmid) / 6
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5, line6],
label="Wind" + st + "_R0_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part4 (1,1)
line1 = Segment(Zmid, Zrad2)
line2 = Segment(Zrad2, Z5)
line3 = Arc1(Z5, Z6, -self.R2, is_trigo_direction=False)
line4 = Arc1(Z6, Ztan2, -abs(Z7), is_trigo_direction=False)
line5 = Segment(Ztan2, Zmid)
point_ref = (Zmid + Zrad2 + Z5 + Z6 + Ztan2) / 5
surface = SurfLine(
line_list=[line1, line2, line3, line4, line5],
label="Wind" + st + "_R1_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
else: # Default : only one zone
curve_list = self.build_geometry()
# Remove the isthmus part
curve_list = curve_list[1:-1]
# Add a line to close the winding area
lines = [Segment(curve_list[-1].end, curve_list[0].begin)]
lines.extend(curve_list)
surface = SurfLine(
line_list=lines, label="Wind" + st + "_R0_T0_S0", point_ref=Zmid
)
surf_list.append(surface)
for surf in surf_list:
surf.rotate(alpha)
surf.translate(delta)
return surf_list