# Source code for pyleecan.Methods.Slot.HoleM53.build_geometry

# -*- coding: utf-8 -*-
"""@package Methods.Machine.HoleM53.build_geometry
HoleM53 build_geometry method
@date Created on Fri Mar 16 11:03:07 2018
@author pierre_b
"""

from numpy import cos, exp, sin

from pyleecan.Classes.Arc1 import Arc1
from pyleecan.Classes.Segment import Segment
from pyleecan.Classes.SurfLine import SurfLine
from pyleecan.Functions.Geometry.inter_line_circle import inter_line_circle
from pyleecan.Methods.Slot.HoleM53 import Slot53InterError

[docs]def build_geometry(self, alpha=0, delta=0, is_simplified=False):
"""Compute the curve (Segment) needed to plot the Hole.
The ending point of a curve is the starting point of the next curve in the
list

Parameters
----------
self : HoleM53
A HoleM53 object
alpha : float
Angle to rotate the slot (Default value = 0) [rad]
delta : complex
Complex to translate the slot (Default value = 0)
is_simplified : bool
True to avoid line superposition

Returns
-------
surf_list: list
List of Magnet Surface and Air Surface on the slot

"""
if self.get_is_stator():  # check if the slot is on the stator
st = "S"
else:
st = "R"
Rbo = self.get_Rbo()

Z7 = Rbo - self.H0 - 1j * self.W1 / 2
Z6 = Z7 - 1j * (self.H2 - self.H3) * cos(self.W4)
Z8 = Z7 + (self.H2 - self.H3) * sin(self.W4)

# Compute the coordinate in the ref of Z6 with rotation -W4
Z5 = self.W2 * exp(-1j * self.W4) + Z6
Z4 = (self.W2 - 1j * self.H3) * exp(-1j * self.W4) + Z6
Z3 = (self.W2 + self.W3 - 1j * self.H3) * exp(-1j * self.W4) + Z6
Z2 = (self.W2 + self.W3) * exp(-1j * self.W4) + Z6
Z9 = (self.W2 + 1j * (self.H2 - self.H3)) * exp(-1j * self.W4) + Z6
Z10 = (self.W2 + self.W3 + 1j * (self.H2 - self.H3)) * exp(-1j * self.W4) + Z6

# Z1 and Z11 are defined as intersection between line and circle
Zlist = inter_line_circle(Z8, Z10, Rbo - self.H1)
if len(Zlist) == 2 and Zlist[0].imag < 0 and Zlist[0].real > 0:
Z11 = Zlist[0]
elif len(Zlist) == 2 and Zlist[1].imag < 0 and Zlist[1].real > 0:
Z11 = Zlist[1]
else:
raise Slot53InterError("ERROR: Slot 53, Can't find Z11 coordinates")

Zlist = inter_line_circle(Z2, Z6, Rbo - self.H1)
if len(Zlist) == 2 and Zlist[0].imag < 0 and Zlist[0].real > 0:
Z1 = Zlist[0]
elif len(Zlist) == 2 and Zlist[1].imag < 0 and Zlist[1].real > 0:
Z1 = Zlist[1]
else:
raise Slot53InterError("ERROR: Slot 53, Can't find Z1 coordinates")

# Symmetry
Z1s = Z1.conjugate()
Z2s = Z2.conjugate()
Z3s = Z3.conjugate()
Z4s = Z4.conjugate()
Z5s = Z5.conjugate()
Z6s = Z6.conjugate()
Z7s = Z7.conjugate()
Z8s = Z8.conjugate()
Z9s = Z9.conjugate()
Z10s = Z10.conjugate()
Z11s = Z11.conjugate()

# Air surface with magnet_0
curve_list_air = list()
curve_list_air.append(Segment(Z1, Z2))
curve_list_air.append(Segment(Z2, Z10))
curve_list_air.append(Segment(Z10, Z11))
curve_list_air.append(Arc1(Z11, Z1, -Rbo + self.H1))
point_ref = (Z1 + Z2 + Z10 + Z11) / 4
S1 = SurfLine(line_list=curve_list_air, label="Air", point_ref=point_ref)

# magnet_0 surface
curve_list_mag = list()
if is_simplified:
curve_list_air.append(Segment(Z5, Z9))
curve_list_air.append(Segment(Z2, Z10))
else:
curve_list_mag.append(Segment(Z3, Z4))
curve_list_mag.append(Segment(Z4, Z9))
curve_list_mag.append(Segment(Z9, Z10))
curve_list_mag.append(Segment(Z10, Z3))
point_ref = (Z3 + Z4 + Z9 + Z10) / 4
S2 = SurfLine(
line_list=curve_list_mag,
label="Magnet" + st + "_N_R0_T0_S0",
point_ref=point_ref,
)

# Air suface with magnet_0 and W1 > 0
curve_list_air = list()
if self.W2 > 0:
curve_list_air.append(Segment(Z5, Z6))
curve_list_air.append(Segment(Z6, Z7))
curve_list_air.append(Segment(Z7, Z8))
if self.W2 > 0:
curve_list_air.append(Segment(Z8, Z9))
curve_list_air.append(Segment(Z9, Z5))
point_ref = (Z5 + Z6 + Z7 + Z8 + Z9) / 5
else:
curve_list_air.append(Segment(Z8, Z6))
point_ref = (Z6 + Z7 + Z8) / 3
S3 = SurfLine(line_list=curve_list_air, label="Air", point_ref=point_ref)

# Air surface with magnet_1
curve_list_air = list()
curve_list_air.append(Segment(Z1s, Z2s))
curve_list_air.append(Segment(Z2s, Z10s))
curve_list_air.append(Segment(Z10s, Z11s))
curve_list_air.append(Arc1(Z11s, Z1s, Rbo - self.H1))
point_ref = (Z1s + Z2s + Z10s + Z11s) / 4
S4 = SurfLine(line_list=curve_list_air, label="Air", point_ref=point_ref)

# magnet_1 surface
curve_list_mag = list()
if is_simplified:
curve_list_air.append(Segment(Z5s, Z9s))
curve_list_air.append(Segment(Z2s, Z10s))
else:
curve_list_mag.append(Segment(Z3s, Z4s))
curve_list_mag.append(Segment(Z4s, Z9s))
curve_list_mag.append(Segment(Z9s, Z10s))
curve_list_mag.append(Segment(Z10s, Z3s))
point_ref = (Z3s + Z4s + Z9s + Z10s) / 4
S5 = SurfLine(
line_list=curve_list_mag,
label="Magnet" + st + "_N_R0_T1_S0",
point_ref=point_ref,
)

# Air suface with magnet_1 and W1 > 0
curve_list_air = list()
if self.W2 > 0:
curve_list_air.append(Segment(Z5s, Z6s))
curve_list_air.append(Segment(Z6s, Z7s))
curve_list_air.append(Segment(Z7s, Z8s))
if self.W2 > 0:
curve_list_air.append(Segment(Z8s, Z9s))
curve_list_air.append(Segment(Z9s, Z5s))
point_ref = (Z5s + Z6s + Z7s + Z8s + Z9s) / 5
else:
curve_list_air.append(Segment(Z8s, Z6s))
point_ref = (Z6s + Z7s + Z8s) / 3
S6 = SurfLine(line_list=curve_list_air, label="Air", point_ref=point_ref)

# Air with both magnet and W1 = 0
curve_list_air = list()
if self.W2 > 0:
curve_list_air.append(Segment(Z5, Z6))
curve_list_air.append(Segment(Z6, Z6s))
if self.W2 > 0:
curve_list_air.append(Segment(Z6s, Z5s))
curve_list_air.append(Segment(Z5s, Z9s))
if self.W2 > 0:
curve_list_air.append(Segment(Z9s, Z8s))
curve_list_air.append(Segment(Z8s, Z9))
curve_list_air.append(Segment(Z9, Z5))
point_ref = (Z6 + Z6s + Z8) / 3
S7 = SurfLine(line_list=curve_list_air, label="Air", point_ref=point_ref)

# first hole without magnet_0 and W1 > 0
curve_list_mag = list()
curve_list_mag.append(Segment(Z1, Z2))
if self.H3 > 0:
curve_list_mag.append(Segment(Z2, Z3))
curve_list_mag.append(Segment(Z3, Z4))
if self.H3 > 0:
curve_list_mag.append(Segment(Z4, Z5))
if self.W2 > 0:
curve_list_mag.append(Segment(Z5, Z6))
curve_list_mag.append(Segment(Z6, Z7))
curve_list_mag.append(Segment(Z7, Z8))
curve_list_mag.append(Segment(Z8, Z11))
curve_list_air.append(Arc1(Z11, Z1, -Rbo + self.H1))
point_ref = (Z3 + Z4 + Z9 + Z10) / 4
S8 = SurfLine(line_list=curve_list_mag, label="Air", point_ref=point_ref)

# second hole without magnet_1 and W1 > 0
curve_list_mag = list()
curve_list_mag.append(Segment(Z1s, Z2s))
if self.H3 > 0:
curve_list_mag.append(Segment(Z2s, Z3s))
curve_list_mag.append(Segment(Z3s, Z4s))
if self.H3 > 0:
curve_list_mag.append(Segment(Z4s, Z5s))
if self.W2 > 0:
curve_list_mag.append(Segment(Z5s, Z6s))
curve_list_mag.append(Segment(Z6s, Z7s))
curve_list_mag.append(Segment(Z7s, Z8s))
curve_list_mag.append(Segment(Z8s, Z11s))
curve_list_air.append(Arc1(Z11s, Z1s, -Rbo + self.H1))
point_ref = (Z3s + Z4s + Z9s + Z10s) / 4
S9 = SurfLine(line_list=curve_list_mag, label="Air", point_ref=point_ref)

# No magnet_1 and W1 = 0
curve_list_mag = list()
curve_list_mag.append(Segment(Z1s, Z2s))
if self.H3 > 0:
curve_list_mag.append(Segment(Z2s, Z3s))
curve_list_mag.append(Segment(Z3s, Z4s))
if self.H3 > 0:
curve_list_mag.append(Segment(Z4s, Z5s))
if self.W2 > 0:
curve_list_mag.append(Segment(Z5s, Z6s))
curve_list_mag.append(Segment(Z6s, Z6))
if self.W2 > 0:
curve_list_mag.append(Segment(Z6, Z5))
curve_list_mag.append(Segment(Z5, Z9))
if self.W2 > 0:
curve_list_mag.append(Segment(Z9, Z8))
curve_list_mag.append(Segment(Z8s, Z11s))
curve_list_air.append(Arc1(Z11s, Z1s, -Rbo + self.H1))
point_ref = (Z3s + Z4s + Z9s + Z10s) / 4
S10 = SurfLine(line_list=curve_list_mag, label="Air", point_ref=point_ref)

# No magnet_0 and W1 = 0
curve_list_mag = list()
curve_list_mag.append(Segment(Z1, Z2))
if self.H3 > 0:
curve_list_mag.append(Segment(Z2, Z3))
curve_list_mag.append(Segment(Z3, Z4))
if self.H3 > 0:
curve_list_mag.append(Segment(Z4, Z5))
if self.W2 > 0:
curve_list_mag.append(Segment(Z5, Z6))
curve_list_mag.append(Segment(Z6, Z6s))
if self.W2 > 0:
curve_list_mag.append(Segment(Z6s, Z5s))
curve_list_mag.append(Segment(Z5s, Z9s))
if self.W2 > 0:
curve_list_mag.append(Segment(Z9s, Z8s))
curve_list_mag.append(Segment(Z8, Z11))
curve_list_air.append(Arc1(Z11, Z1, -Rbo + self.H1))
point_ref = (Z3 + Z4 + Z9 + Z10) / 4
S11 = SurfLine(line_list=curve_list_mag, label="Air", point_ref=point_ref)

# No magnet and W1 = 0
curve_list_mag = list()
curve_list_air.append(Arc1(Z1, Z11, Rbo - self.H1))
curve_list_mag.append(Segment(Z11, Z8))
curve_list_mag.append(Segment(Z8, Z11s))
curve_list_air.append(Arc1(Z11s, Z1s, Rbo - self.H1))
curve_list_mag.append(Segment(Z1s, Z2s))
if self.H3 > 0:
curve_list_mag.append(Segment(Z2s, Z3s))
curve_list_mag.append(Segment(Z3s, Z4s))
if self.H3 > 0:
curve_list_mag.append(Segment(Z4s, Z5s))
if self.W2 > 0:
curve_list_mag.append(Segment(Z5s, Z6s))
curve_list_mag.append(Segment(Z6s, Z6))
if self.W2 > 0:
curve_list_mag.append(Segment(Z6, Z5))
if self.H3 > 0:
curve_list_mag.append(Segment(Z5, Z4))
curve_list_mag.append(Segment(Z4, Z3))
if self.H3 > 0:
curve_list_mag.append(Segment(Z3, Z2))
curve_list_mag.append(Segment(Z2, Z1))

point_ref = (Z6 + Z8 + Z6s) / 3
S12 = SurfLine(line_list=curve_list_mag, label="Air", point_ref=point_ref)

# Create the surface list by selecting the correct ones
if self.magnet_0 and self.magnet_1 and self.W1 > 0:
surf_list = [S1, S2, S3, S6, S5, S4]
elif self.magnet_0 and self.magnet_1 and self.W1 == 0:
surf_list = [S1, S2, S7, S5, S4]
elif self.magnet_0 and not self.magnet_1 and self.W1 > 0:
surf_list = [S1, S2, S3, S9]
elif self.magnet_0 and not self.magnet_1 and self.W1 == 0:
surf_list = [S1, S2, S10]
elif not self.magnet_0 and self.magnet_1 and self.W1 > 0:
surf_list = [S8, S6, S5, S4]
elif not self.magnet_0 and self.magnet_1 and self.W1 == 0:
surf_list = [S11, S5, S4]
elif not self.magnet_0 and not self.magnet_1 and self.W1 > 0:
surf_list = [S8, S9]
elif not self.magnet_0 and not self.magnet_1 and self.W1 == 0:
surf_list = [S12]

# Apply the transformation
for surf in surf_list:
surf.rotate(alpha)
surf.translate(delta)

return surf_list