# -*- coding: utf-8 -*-
from numpy import arcsin, exp
from ....Classes.Arc1 import Arc1
from ....Classes.Arc3 import Arc3
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 : SlotW12
A SlotW12 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
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"
Rbo = self.get_Rbo()
# angle is the angle to rotate Z0 so ||Z1,Z8|| = 2*R2
angle = float(arcsin(self.R2 / Rbo))
# comp point coordinate (in complex)
Z1 = Rbo * exp(1j * angle)
if self.is_outwards():
Z3 = Z1 + self.H0 + self.R1 * 2
Z4 = Z3 + self.H1
Zrad1 = Z3.conjugate() + (self.H1 + self.R2) / 2.0
Ztan2 = Z4.real + self.R2
rot_sign = False
else: # inward slot
Z3 = Z1 - self.H0 - self.R1 * 2
Z4 = Z3 - self.H1
Zrad1 = Z3.conjugate() - (self.H1 + self.R2) / 2.0
Ztan2 = Z4.real - self.R2
rot_sign = True
# symetry
Z5 = Z4.conjugate()
Z6 = Z3.conjugate()
Zrad2 = Zrad1.conjugate()
Ztan1 = Z3.real
Zmid = (Ztan1 + Ztan2) / 2.0
surf_list = list()
if (Nrad == 2 and Ntan == 1) and self.H1 > self.R2:
if is_simplified: # no coincident lines allowed
# Part 1 (0,0)
line1 = Segment(Z6, Z3)
line2 = Segment(Zrad2, Zrad1)
point_ref = (Z6 + Z3 + Zrad2 + Zrad1) / 4
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 = (Z6 + Z3 + Zrad2 + Zrad1) / 4
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(Z6, Z3)
line2 = Segment(Z3, Zrad2)
line3 = Segment(Zrad2, Zrad1)
line4 = Segment(Zrad1, Z6)
point_ref = (Z6 + Z3 + Zrad2 + Zrad1) / 4
surface = SurfLine(
line_list=[line1, line2, line3, line4],
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (1,0)
line1 = Segment(Zrad1, Zrad2)
line2 = Segment(Zrad2, Z4)
line3 = Arc3(Z4, Z5, rot_sign)
line4 = Segment(Z5, Zrad1)
point_ref = (Z4 + Z5 + Zrad2 + Zrad1) / 4
surface = SurfLine(
line_list=[line1, line2, line3, line4],
label="Wind" + st + "_R1_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
elif Nrad == 1 and Ntan == 2:
if is_simplified: # no coincident lines allowed
# Part 1 (0,0)
line1 = Segment(Z6, Ztan1)
point_ref = (Z6 + Ztan1 + Ztan2 + Z5) / 4
surface = SurfLine(
line_list=[line1], label="Wind" + st + "_R0_T0_S0", point_ref=point_ref
)
surf_list.append(surface)
# Part2 (0,1)
line1 = Segment(Ztan1, Z3)
point_ref = (Ztan1 + Z3 + Z4 + Ztan2) / 4
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(Z6, Ztan1)
line2 = Segment(Ztan1, Ztan2)
line3 = Arc1(Ztan2, Z5, self.R2)
line4 = Segment(Z5, Z6)
point_ref = (Z6 + Ztan1 + Ztan2 + Z5) / 4
surface = SurfLine(
line_list=[line1, line2, line3, line4],
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (0,1)
line1 = Segment(Ztan1, Z3)
line2 = Segment(Z3, Z4)
line3 = Arc1(Z4, Ztan2, self.R2)
line4 = Segment(Ztan2, Ztan1)
point_ref = (Ztan1 + Z3 + Z4 + Ztan2) / 4
surface = SurfLine(
line_list=[line1, line2, line3, line4],
label="Wind" + st + "_R0_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
elif Nrad == 2 and Ntan == 2 and self.H1 > self.R2:
if is_simplified: # no coincident lines allowed
# Part 1 (0,0)
line1 = Segment(Z6, Ztan1)
line2 = Segment(Ztan1, Zmid)
line3 = Segment(Zmid, Zrad1)
point_ref = (Z6 + Ztan1 + Zmid + Zrad1) / 4
surface = SurfLine(
line_list=[line1, line2, line3],
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (1,0)
line1 = Segment(Zmid, Ztan2)
point_ref = (Zrad1 + Zmid + Ztan2 + Z5) / 4
surface = SurfLine(
line_list=[line1], label="Wind" + st + "_R1_T0_S0", point_ref=point_ref
)
surf_list.append(surface)
# Part 3 (0,1)
line1 = Segment(Ztan1, Z3)
line2 = Segment(Zrad2, Zmid)
point_ref = (Ztan1 + Z3 + Zrad2 + Zmid) / 4
surface = SurfLine(
line_list=[line1, line2],
label="Wind" + st + "_R0_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part4 (1,1)
point_ref = (Zmid + Zrad2 + Z4 + Ztan2) / 4
surface = SurfLine(
line_list=[], label="Wind" + st + "_R1_T1_S0", point_ref=point_ref
)
surf_list.append(surface)
else:
# Part 1 (0,0)
line1 = Segment(Z6, Ztan1)
line2 = Segment(Ztan1, Zmid)
line3 = Segment(Zmid, Zrad1)
line4 = Segment(Zrad1, Z6)
point_ref = (Z6 + Ztan1 + Zmid + Zrad1) / 4
surface = SurfLine(
line_list=[line1, line2, line3, line4],
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (1,0)
line1 = Segment(Zrad1, Zmid)
line2 = Segment(Zmid, Ztan2)
line3 = Arc1(Ztan2, Z5, self.R2)
line4 = Segment(Z5, Zrad1)
point_ref = (Zrad1 + Zmid + Ztan2 + Z5) / 4
surface = SurfLine(
line_list=[line1, line2, line3, line4],
label="Wind" + st + "_R1_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part 3 (0,1)
line1 = Segment(Ztan1, Z3)
line2 = Segment(Z3, Zrad2)
line3 = Segment(Zrad2, Zmid)
line4 = Segment(Zmid, Ztan1)
point_ref = (Ztan1 + Z3 + Zrad2 + Zmid) / 4
surface = SurfLine(
line_list=[line1, line2, line3, line4],
label="Wind" + st + "_R0_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part4 (1,1)
line1 = Segment(Zmid, Zrad2)
line2 = Segment(Zrad2, Z4)
line3 = Arc1(Z4, Ztan2, self.R2)
line4 = Segment(Ztan2, Zmid)
point_ref = (Zmid + Zrad2 + Z4 + Ztan2) / 4
surface = SurfLine(
line_list=[line1, line2, line3, line4],
label="Wind" + st + "_R1_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
else: # Default only one zone
# Creation of curve
line_list = list()
line_list.append(Segment(Z6, Z3))
if self.H1 > 0:
line_list.append(Segment(Z3, Z4))
line_list.append(Arc3(Z4, Z5, rot_sign))
if self.H1 > 0:
line_list.append(Segment(Z5, Z6))
surface = SurfLine(
line_list=line_list, 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