# -*- coding: utf-8 -*-
from numpy import angle
from scipy.optimize import fsolve
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 : SlotW11
A SlotW11 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
number for rotation (Default value = 0) [rad]
delta : complex
complex number 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"
[Z10, Z9, Z8, Z7, Z6, Z5, Z4, Z3, Z2, Z1, rot_sign] = self._comp_point_coordinate()
rot_sign = -rot_sign
Ztan1 = (Z3 + Z8) / 2.0
Ztan2 = (Z5 + Z6) / 2.0
if self.H2 / 2.0 > self.R1: # Zrad1 between Z8 and Z7
Zmid = (Ztan1 + Ztan2) / 2.0
x = fsolve(
lambda x: angle((Z7 - (Zmid + 1j * x)) / (Z7 - Z8)),
-(self.W2 + self.W1) / 4.0,
)
Zrad1 = Zmid + 1j * x[0]
Zrad2 = Zrad1.conjugate()
# Alternative points for uneven winding layers (cf ICEM 2020 publication)
# Zmid1 = (Ztan1 + Ztan2) / 2
# Zmid1 = (Zmid1 + Ztan1) / 2
# Zmid2 = (Ztan1 + Ztan2) / 2
# Zmid2 = (Zmid2 + Ztan2) / 2
# x = fsolve(
# lambda x: angle((Z7 - (Zmid1 + 1j * x)) / (Z7 - Z8)), -(self.W2 + self.W1) / 4.0
# )
# Zrad1 = Zmid1 + 1j * x[0]
# x = fsolve(
# lambda x: angle((Z4 - (Zmid2 + 1j * x)) / (Z4 - Z3)), (self.W2 + self.W1) / 4.0
# )
# Zrad2 = Zmid2 + 1j * x[0]
# is_uneven = True
surf_list = list()
if Nrad == 1 and Ntan == 2:
if is_simplified: # no coincident lines allowed
# Part 1 (0,0)
curve_list = list()
curve_list.append(Segment(Z8, Ztan1))
curve_list.append(Segment(Ztan1, Ztan2))
point_ref = (Z8 + Ztan1 + Ztan2 + Z6 + Z7) / 5
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (0,1)
curve_list = list()
curve_list.append(Segment(Ztan1, Z3))
point_ref = (Ztan1 + Z3 + Z4 + Z5 + Ztan2) / 5
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R0_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
else:
# Part 1 (0,0)
curve_list = list()
curve_list.append(Segment(Z8, Ztan1))
curve_list.append(Segment(Ztan1, Ztan2))
if self.W2 > 2 * self.R1:
curve_list.append(Segment(Ztan2, Z6))
curve_list.append(
Arc1(Z6, Z7, rot_sign * self.R1, is_trigo_direction=False)
)
curve_list.append(Segment(Z7, Z8))
point_ref = (Z8 + Ztan1 + Ztan2 + Z6 + Z7) / 5
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (0,1)
curve_list = list()
curve_list.append(Segment(Ztan1, Z3))
curve_list.append(Segment(Z3, Z4))
curve_list.append(
Arc1(Z4, Z5, rot_sign * self.R1, is_trigo_direction=False)
)
if self.W2 > 2 * self.R1:
curve_list.append(Segment(Z5, Ztan2))
curve_list.append(Segment(Ztan2, Ztan1))
point_ref = (Ztan1 + Z3 + Z4 + Z5 + Ztan2) / 5
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R0_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# elif is_uneven: # For ICEM 2020 publication
# # Part 1 (0,0)
# curve_list = list()
# curve_list.append(Segment(Z8, Ztan1))
# curve_list.append(Segment(Ztan1, Zmid1))
# curve_list.append(Segment(Zmid1, Zrad1))
# curve_list.append(Segment(Zrad1, Z8))
# point_ref = (Z8 + Ztan1 + Zmid1 + Zrad1) / 4
# surface = SurfLine(
# line_list=curve_list, label="Wind" + st + "_R0_T0_S0", point_ref=point_ref
# )
# surf_list.append(surface)
# # Part2 (1,0)
# curve_list = list()
# curve_list.append(Segment(Zrad1, Zmid1))
# curve_list.append(Segment(Zmid1, Ztan2))
# if self.W2 > 2 * self.R1:
# curve_list.append(Segment(Ztan2, Z6))
# curve_list.append(Arc1(Z6, Z7, rot_sign * self.R1, is_trigo_direction=True))
# curve_list.append(Segment(Z7, Zrad1))
# point_ref = (Zrad1 + Zmid1 + Ztan2 + Z6 + Z7) / 5
# surface = SurfLine(
# line_list=curve_list, label="Wind" + st + "_R1_T0_S0", point_ref=point_ref
# )
# surf_list.append(surface)
# # Part3 (0,1)
# curve_list = list()
# curve_list.append(Segment(Ztan1, Z3))
# curve_list.append(Segment(Z3, Zrad2))
# curve_list.append(Segment(Zrad2, Zmid2))
# curve_list.append(Segment(Zmid2, Ztan1))
# point_ref = (Ztan1 + Z3 + Zrad2 + Zmid2) / 4
# surface = SurfLine(
# line_list=curve_list, label="Wind" + st + "_R0_T1_S0", point_ref=point_ref
# )
# surf_list.append(surface)
# # Part4 (1,1)
# curve_list = list()
# curve_list.append(Segment(Zmid2, Zrad2))
# curve_list.append(Segment(Zrad2, Z4))
# curve_list.append(Arc1(Z4, Z5, rot_sign * self.R1, is_trigo_direction=True))
# if self.W2 > 2 * self.R1:
# curve_list.append(Segment(Z5, Ztan2))
# curve_list.append(Segment(Ztan2, Zmid2))
# point_ref = (Zmid2 + Zrad2 + Z4 + Z5 + Ztan2) / 5
# surface = SurfLine(
# line_list=curve_list, label="Wind" + st + "_R1_T1_S0", point_ref=point_ref
# )
# surf_list.append(surface)
elif Nrad == 2 and Ntan == 1 and self.H2 / 2.0 > self.R1:
if is_simplified: # no coincident lines allowed
# Part 1 (0,0)
curve_list = list()
curve_list.append(Segment(Z8, Z3))
curve_list.append(Segment(Zrad2, Zrad1))
point_ref = (Z8 + Z3 + Zrad2 + Zrad1) / 4
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (1,0)
curve_list = list()
point_ref = (Zrad2 + Zrad1 + Z4 + Z5 + Z6 + Z7) / 6
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R1_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
else:
# Part 1 (0,0)
curve_list = list()
curve_list.append(Segment(Z8, Z3))
curve_list.append(Segment(Z3, Zrad2))
curve_list.append(Segment(Zrad2, Zrad1))
curve_list.append(Segment(Zrad1, Z8))
point_ref = (Z8 + Z3 + Zrad2 + Zrad1) / 4
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (1,0)
curve_list = list()
curve_list.append(Segment(Zrad1, Zrad2))
curve_list.append(Segment(Zrad2, Z4))
curve_list.append(
Arc1(Z4, Z5, rot_sign * self.R1, is_trigo_direction=False)
)
if self.W2 > 2 * self.R1:
curve_list.append(Segment(Z5, Z6))
curve_list.append(
Arc1(Z6, Z7, rot_sign * self.R1, is_trigo_direction=False)
)
curve_list.append(Segment(Z7, Zrad1))
point_ref = (Zrad2 + Zrad1 + Z4 + Z5 + Z6 + Z7) / 6
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R1_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
elif Nrad == 2 and Ntan == 2 and self.H2 / 2.0 > self.R1:
if is_simplified: # no coincident lines allowed
# Part 1 (0,0)
curve_list = list()
curve_list.append(Segment(Z8, Ztan1))
curve_list.append(Segment(Ztan1, Zmid))
curve_list.append(Segment(Zmid, Zrad1))
point_ref = (Z8 + Ztan1 + Zmid + Zrad1) / 4
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (1,0)
curve_list = list()
curve_list.append(Segment(Zmid, Ztan2))
point_ref = (Zrad1 + Zmid + Ztan2 + Z6 + Z7) / 5
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R1_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part3 (0,1)
curve_list = list()
curve_list.append(Segment(Ztan1, Z3))
curve_list.append(Segment(Zrad2, Zmid))
point_ref = (Ztan1 + Z3 + Zrad2 + Zmid) / 4
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R0_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part4 (1,1)
curve_list = list()
point_ref = (Zmid + Zrad2 + Z4 + Z5 + Ztan2) / 5
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R1_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
else:
# Part 1 (0,0)
curve_list = list()
curve_list.append(Segment(Z8, Ztan1))
curve_list.append(Segment(Ztan1, Zmid))
curve_list.append(Segment(Zmid, Zrad1))
curve_list.append(Segment(Zrad1, Z8))
point_ref = (Z8 + Ztan1 + Zmid + Zrad1) / 4
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R0_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part2 (1,0)
curve_list = list()
curve_list.append(Segment(Zrad1, Zmid))
curve_list.append(Segment(Zmid, Ztan2))
if self.W2 > 2 * self.R1:
curve_list.append(Segment(Ztan2, Z6))
curve_list.append(Arc1(Z6, Z7, rot_sign * self.R1, is_trigo_direction=True))
curve_list.append(Segment(Z7, Zrad1))
point_ref = (Zrad1 + Zmid + Ztan2 + Z6 + Z7) / 5
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R1_T0_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part3 (0,1)
curve_list = list()
curve_list.append(Segment(Ztan1, Z3))
curve_list.append(Segment(Z3, Zrad2))
curve_list.append(Segment(Zrad2, Zmid))
curve_list.append(Segment(Zmid, Ztan1))
point_ref = (Ztan1 + Z3 + Zrad2 + Zmid) / 4
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R0_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
# Part4 (1,1)
curve_list = list()
curve_list.append(Segment(Zmid, Zrad2))
curve_list.append(Segment(Zrad2, Z4))
curve_list.append(Arc1(Z4, Z5, rot_sign * self.R1, is_trigo_direction=True))
if self.W2 > 2 * self.R1:
curve_list.append(Segment(Z5, Ztan2))
curve_list.append(Segment(Ztan2, Zmid))
point_ref = (Zmid + Zrad2 + Z4 + Z5 + Ztan2) / 5
surface = SurfLine(
line_list=curve_list,
label="Wind" + st + "_R1_T1_S0",
point_ref=point_ref,
)
surf_list.append(surface)
else:
# Creation of curve
curve_list = list()
curve_list.append(Segment(Z8, Z3))
curve_list.append(Segment(Z3, Z4))
if self.R1 * 2 < self.W2:
curve_list.append(
Arc1(
Z4,
Z5,
rot_sign * self.R1,
is_trigo_direction=not self.is_outwards(),
)
)
curve_list.append(Segment(Z5, Z6))
curve_list.append(
Arc1(
Z6,
Z7,
rot_sign * self.R1,
is_trigo_direction=not self.is_outwards(),
)
)
else: # Z5 == Z6
curve_list.append(Arc3(Z4, Z7, not self.is_outwards()))
curve_list.append(Segment(Z7, Z8))
surface = SurfLine(
line_list=curve_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