Exemple #1
0
    def test_Lam_Mag_11_surface(self):
        """Test machine plot with Magnet 11 surface"""

        plt.close("all")
        test_obj = Machine()
        test_obj.rotor = LamSlotMag(
            Rint=40e-3,
            Rext=90e-3,
            is_internal=True,
            is_stator=False,
            L1=0.45,
            Nrvd=1,
            Wrvd=0.05,
        )
        magnet = [MagnetType11(Lmag=0.5, Hmag=0.01, Wmag=pi / 8)]
        test_obj.rotor.slot = SlotMPolar(Zs=8, W0=pi / 8, magnet=magnet)
        test_obj.rotor.mat_type.magnetics = MatLamination(Wlam=0.5e-3)
        test_obj.shaft = Shaft(Drsh=test_obj.rotor.Rint * 2, Lshaft=0.55)

        test_obj.stator = LamSlotMag(
            Rint=115e-3,
            Rext=200e-3,
            is_internal=False,
            is_stator=True,
            L1=0.45,
            Nrvd=1,
            Wrvd=0.05,
        )
        magnet2 = [MagnetType11(Lmag=0.5, Hmag=0.01, Wmag=pi / 4)]
        test_obj.stator.slot = SlotMPolar(Zs=4, W0=pi / 4, magnet=magnet2)
        test_obj.stator.mat_type.magnetics = MatLamination(Wlam=0.5e-3)
        test_obj.frame = Frame(Rint=200e-3, Rext=200e-3, Lfra=0.5)

        test_obj.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 17)
        fig.savefig(join(save_path, "test_Lam_Mag_11s_1-Machine.png"))

        test_obj.rotor.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 10)
        fig.savefig(join(save_path, "test_Lam_Mag_11s_2-Rotor.png"))

        test_obj.stator.plot()
        fig = plt.gcf()
        patches = fig.axes[0].patches
        self.assertEqual(len(patches), 6)
        self.assertTrue(isinstance(patches[0], Circle))
        self.assertEqual(patches[0].get_radius(), 200e-3)
        self.assertEqual(patches[0].get_facecolor(),
                         (0.0, 0.0, 1.0, 1.0))  # Blue
        for i in range(1, 6):
            self.assertTrue(isinstance(patches[i], Polygon))
            if i == 1:  # Lamination inner
                self.assertEqual(patches[i].get_facecolor(),
                                 (1.0, 1.0, 1.0, 1.0))  # White
            else:  # Magnet
                self.assertEqual(patches[i].get_facecolor(),
                                 (0.75, 0.75, 0.75, 1.0))  # Gray
        fig.savefig(join(save_path, "test_Lam_Mag_11s_3-Stator.png"))
    def test_Lam_Mag_11_inset(self):
        """Test machine plot with Magnet 11 inset"""

        plt.close("all")
        test_obj = Machine()
        test_obj.rotor = LamSlotMag(
            Rint=40e-3,
            Rext=90e-3,
            is_internal=True,
            is_stator=False,
            L1=0.4,
            Nrvd=2,
            Wrvd=0.05,
        )
        test_obj.rotor.mat_type.mag = MatLamination(Wlam=0.5e-3)
        magnet = [MagnetType11(Lmag=0.5, Hmag=0.01, Wmag=pi / 8)]
        test_obj.rotor.slot = SlotMPolar(Zs=8,
                                         W0=pi / 8,
                                         H0=0.01,
                                         W3=2 * pi / 64,
                                         magnet=magnet)
        test_obj.shaft = Shaft(Drsh=test_obj.rotor.Rint * 2, Lshaft=0.55)

        test_obj.stator = LamSlotMag(
            Rint=115e-3,
            Rext=200e-3,
            is_internal=False,
            is_stator=True,
            L1=0.4,
            Nrvd=2,
            Wrvd=0.05,
        )
        magnet2 = [MagnetType11(Lmag=0.35, Hmag=0.03, Wmag=pi / 4)]
        test_obj.stator.slot = SlotMPolar(Zs=4,
                                          W0=pi / 4,
                                          H0=0.02,
                                          W3=2 * pi / 64,
                                          magnet=magnet2)
        test_obj.stator.mat_type.mag = MatLamination(Wlam=0.5e-3)
        test_obj.frame = Frame(Rint=200e-3, Rext=230e-3, Lfra=0.3)

        test_obj.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 19)
        fig.savefig(join(save_path, "test_Lam_Mag_11i_1-Machine.png"))

        test_obj.rotor.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 10)
        fig.savefig(join(save_path, "test_Lam_Mag_11i_2-Rotor.png"))

        test_obj.stator.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 6)
        fig.savefig(join(save_path, "test_Lam_Mag_11i_3-Stator.png"))
Exemple #3
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    def test_Lam_Mag_11_inset_2_mag(self):
        """Test machine plot with Magnet 11 inset with two magnet in the slot"""
        plt.close("all")
        rotor = LamSlotMag(
            Rint=40e-3,
            Rext=90e-3,
            is_internal=True,
            is_stator=False,
            L1=0.4,
            Nrvd=2,
            Wrvd=0.05,
        )
        rotor.mat_type.mag = MatMagnetics(Wlam=0.5e-3)
        rotor.slot = SlotMPolar(
            Zs=8,
            W0=pi / 12,
            H0=0.01,
            W3=pi / 18,
            magnet=[
                MagnetType11(Lmag=0.5, Hmag=0.01, Wmag=pi / 12),
                MagnetType11(Lmag=0.5, Hmag=0.01, Wmag=pi / 12),
            ],
        )

        stator = LamSlotMag(
            Rint=115e-3,
            Rext=200e-3,
            is_internal=False,
            is_stator=True,
            L1=0.4,
            Nrvd=2,
            Wrvd=0.05,
        )
        stator.slot = SlotMPolar(
            Zs=4,
            W0=pi / 10,
            H0=0.02,
            W3=2 * pi / 50,
            magnet=[
                MagnetType11(Lmag=0.35, Hmag=0.03, Wmag=pi / 10),
                MagnetType11(Lmag=0.35, Hmag=0.03, Wmag=pi / 10),
            ],
        )
        stator.mat_type.mag = MatMagnetics(Wlam=0.5e-3)

        rotor.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 18)
        fig.savefig(join(save_path, "test_Lam_Mag_11i_2_Mag_2-Rotor.png"))

        stator.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 10)
        fig.savefig(join(save_path, "test_Lam_Mag_11i_3_Mag_2-Stator.png"))
    def test_save_load_machine(self):
        """Check that you can save and load a machine object
        """
        # SetUp
        test_obj = MachineSIPMSM(name="test", desc="test\non\nseveral lines")
        test_obj.stator = LamSlotWind(L1=0.45)
        test_obj.stator.slot = SlotW10(Zs=10, H0=0.21, W0=0.23)
        test_obj.stator.winding = WindingDW1L(qs=5)
        test_obj.rotor = LamSlotMag(L1=0.55)
        test_obj.rotor.slot = SlotMPolar(W0=pi / 4)
        test_obj.rotor.slot.magnet = [MagnetType11(Wmag=pi / 4, Hmag=3)]
        test_obj.shaft = Shaft(Lshaft=0.65)
        test_obj.frame = None

        # Save Test
        file_path = join(save_dir, "test_machine.json")
        if isfile(file_path):
            remove(file_path)
        self.assertFalse(isfile(file_path))
        test_obj.save(file_path)
        self.assertTrue(isfile(file_path))

        # Load Test
        result = load(file_path)
        self.assertTrue(type(result) is MachineSIPMSM)
        self.assertEqual(result.name, "test")
        self.assertEqual(result.desc, "test\non\nseveral lines")

        self.assertTrue(type(result.stator) is LamSlotWind)
        self.assertEqual(result.stator.L1, 0.45)

        self.assertTrue(type(result.stator.slot) is SlotW10)
        self.assertEqual(result.stator.slot.Zs, 10)
        self.assertEqual(result.stator.slot.H0, 0.21)
        self.assertEqual(result.stator.slot.W0, 0.23)

        self.assertTrue(type(result.stator.winding) is WindingDW1L)
        self.assertEqual(result.stator.winding.qs, 5)

        self.assertTrue(type(result.rotor) is LamSlotMag)
        self.assertEqual(result.rotor.L1, 0.55)

        self.assertTrue(type(result.rotor.slot) is SlotMPolar)
        self.assertEqual(result.rotor.slot.W0, pi / 4)

        self.assertTrue(type(result.rotor.slot.magnet) is list)
        self.assertTrue(type(result.rotor.slot.magnet[0]) is MagnetType11)
        self.assertEqual(len(result.rotor.slot.magnet), 1)
        self.assertEqual(result.rotor.slot.magnet[0].Wmag, pi / 4)
        self.assertEqual(result.rotor.slot.magnet[0].Hmag, 3)

        self.assertTrue(type(result.shaft) is Shaft)
        self.assertEqual(result.shaft.Lshaft, 0.65)

        self.assertEqual(result.frame, None)
    def test_Lam_Mag_14_inset(self):
        """Test machine plot with Magnet 14 inset"""

        plt.close("all")
        test_obj = Machine()
        test_obj.rotor = LamSlotMag(
            Rint=40e-3,
            Rext=90e-3,
            is_internal=True,
            is_stator=False,
            L1=0.4,
            Nrvd=5,
            Wrvd=0.02,
        )
        magnet = [MagnetType14(Lmag=0.5, Hmag=0.02, Wmag=0.628, Rtop=0.04)]
        test_obj.rotor.slot = SlotMPolar(Zs=4,
                                         W0=0.628,
                                         H0=0.02,
                                         magnet=magnet)
        test_obj.rotor.mat_type.mag = MatLamination(Wlam=0.5e-3)
        test_obj.shaft = Shaft(Drsh=test_obj.rotor.Rint * 2, Lshaft=0.55)

        test_obj.stator = Lamination(
            Rint=130e-3,
            Rext=0.2,
            is_internal=False,
            is_stator=True,
            L1=0.4,
            Nrvd=5,
            Wrvd=0.02,
        )
        test_obj.stator.mat_type.mag = MatLamination(Wlam=0.5e-3)
        test_obj.frame = Frame(Rint=200e-3, Rext=250e-3, Lfra=0.5)

        test_obj.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 11)
        fig.savefig(join(save_path, "test_Lam_Mag_14i_1-Machine.png"))

        test_obj.rotor.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 6)
        fig.savefig(join(save_path, "test_Lam_Mag_14i_2-Rotor.png"))

        test_obj.stator.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 2)
        fig.savefig(join(save_path, "test_Lam_Mag_14i_3-Stator.png"))
Exemple #6
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def test_save_load_dict(self):
    """Test the save and load function of data structures
        """
    # SetUp
    test_obj_1 = MachineSIPMSM(name="test", desc="test\non\nseveral lines")
    test_obj_1.stator = LamSlotWind(L1=0.45)
    test_obj_1.stator.slot = SlotW10(Zs=10, H0=0.21, W0=0.23)
    test_obj_1.stator.winding = WindingDW1L(qs=5)
    test_obj_1.rotor = LamSlotMag(L1=0.55)
    test_obj_1.rotor.slot = SlotMPolar(W0=pi / 4)
    test_obj_1.rotor.slot.magnet = [MagnetType11(Wmag=pi / 4, Hmag=3)]
    test_obj_1.shaft = Shaft(Lshaft=0.65)
    test_obj_1.frame = None

    test_obj_2 = LamSlotWind(L1=0.45)

    test_obj_3 = {"H0": 0.001, "Zs": 10, "__class__": "ClassDoesntExist"}

    test_obj_4 = tuple([1, 2, 3])

    test_dict = {
        "tuple": test_obj_4,
        "list": [test_obj_1, None],
        "dict": {"test_obj_2": test_obj_2, "test_obj_list": [test_obj_3, None]},
    }

    # Save Test
    file_path = join(save_path, "test_dict.json")
    if isfile(file_path):
        remove(file_path)
    self.assertFalse(isfile(file_path))
    save_data(test_dict, file_path)
    self.assertTrue(isfile(file_path))

    # Load Test
    result_dict = load_dict(file_path)
    # set tuple to None as save will do
    test_dict["tuple"] = None
    self.assertEqual(result_dict, test_dict)
    def setUp(self):
        """Run at the begining of every test to setup the gui"""

        self.test_obj = MachineSIPMSM(type_machine=7)  # IPMSM
        # For comp_output compatibility
        self.test_obj.stator = LamSlotWind(Rint=0.95, Rext=0.99)
        self.test_obj.rotor = LamSlotMag(Rint=0.1, Rext=0.9)
        self.test_obj.rotor.slot = SlotMPolar(Zs=8, W0=pi / 24, H0=5e-3)
        self.test_obj.rotor.slot.magnet = [MagnetType11(Wmag=pi / 24, Hmag=3e-3)]
        self.test_obj.rotor.slot.magnet[0].mat_type.name = "test3"

        self.matlib = list()
        self.matlib.append(Material(name="test1"))
        self.matlib[-1].elec.rho = 0.31
        self.matlib.append(Material(name="test2"))
        self.matlib[-1].elec.rho = 0.32
        self.matlib.append(Material(name="test3"))
        self.matlib[-1].elec.rho = 0.33

        self.widget = SMagnet(
            machine=self.test_obj, matlib=self.matlib, is_stator=False
        )
    def test_build_geometry_out(self):
        """check that curve_list is correct (outwards magnet)"""
        lam = LamSlotMag(
            Rint=40e-3,
            Rext=90e-3,
            is_internal=False,
            is_stator=False,
            L1=0.45,
            Nrvd=1,
            Wrvd=0.05,
        )
        magnet = [MagnetType11(Wmag=pi / 10, Hmag=0.2)]
        lam.slot = SlotMPolar(Zs=8, W0=pi / 10, H0=0.2, magnet=magnet)
        test_obj = lam.slot.magnet[0]
        Z1 = (40e-3 + 0.2) * exp(-1j * pi / 10 / 2)
        Z2 = (40e-3 + 0.2) * exp(1j * pi / 10 / 2)

        Z = abs(Z1)

        Z3 = (Z - 0.2) * exp(1j * angle(Z1))
        Z4 = (Z - 0.2) * exp(1j * angle(Z2))

        # # Creation of curve
        curve_list = list()
        curve_list.append(Segment(Z1, Z3))
        curve_list.append(Arc1(Z3, Z4, abs(Z3)))
        curve_list.append(Segment(Z4, Z2))
        curve_list.append(Arc1(Z2, Z1, -abs(Z2)))

        surface = test_obj.build_geometry()
        result = surface[0].get_lines()
        for i in range(0, len(result)):
            a = result[i].begin
            b = curve_list[i].begin
            self.assertAlmostEqual((a - b) / a, 0, delta=DELTA)

            a = result[i].end
            b = curve_list[i].end
            self.assertAlmostEqual((a - b) / a, 0, delta=DELTA)
Exemple #9
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    def test_Lam_Mag_14_inset(self):
        """Test machine plot with Magnet 14 inset"""

        plt.close("all")
        rotor = LamSlotMag(
            Rint=40e-3,
            Rext=90e-3,
            is_internal=True,
            is_stator=False,
            L1=0.4,
            Nrvd=5,
            Wrvd=0.02,
        )
        magnet = [MagnetType14(Lmag=0.5, Hmag=0.02, Wmag=0.628, Rtop=0.04)]
        rotor.slot = SlotMPolar(Zs=4, W0=0.628, H0=0.02, magnet=magnet)
        rotor.mat_type.mag = MatMagnetics(Wlam=0.5e-3)

        stator = Lamination(
            Rint=130e-3,
            Rext=0.2,
            is_internal=False,
            is_stator=True,
            L1=0.4,
            Nrvd=5,
            Wrvd=0.02,
        )
        stator.mat_type.mag = MatMagnetics(Wlam=0.5e-3)

        rotor.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 6)
        fig.savefig(join(save_path, "test_Lam_Mag_14i_2-Rotor.png"))

        stator.plot()
        fig = plt.gcf()
        self.assertEqual(len(fig.axes[0].patches), 2)
        fig.savefig(join(save_path, "test_Lam_Mag_14i_3-Stator.png"))
Exemple #10
0
    Nwppc_tan=1,
    Nwppc_rad=1,
    Wwire=2e-3,
    Hwire=2e-3,
    Wins_wire=1e-6,
    type_winding_shape=0,
)
# Rotor setup
rotor = LamSlotMag(Rext=0.1,
                   Rint=0.0225,
                   L1=0.4,
                   Kf1=0.95,
                   is_internal=True,
                   is_stator=False,
                   Nrvd=0)
rotor.slot = SlotMPolar(Zs=2, W3=0, W0=2.82743338823, H0=0)
rotor.slot.magnet = [MagnetType11(Wmag=2.82743338823, Hmag=0.012)]

shaft = Shaft(Lshaft=0.442, Drsh=45e-3)
frame = None

# Set Materials
stator.mat_type = M400_50A
rotor.mat_type = M400_50A
stator.winding.conductor.cond_mat = Copper1
rotor.slot.magnet[0].mat_type = Magnet3

SPMSM_003 = MachineSIPMSM(
    name="SPMSM_003",
    desc=
    "polar SIPMSM with surface magnet from Lubin, S. Mezani, and A. Rezzoug publication",
Exemple #11
0
from unittest import TestCase

from ddt import ddt, data

from pyleecan.Classes.LamSlotMag import LamSlotMag
from pyleecan.Classes.SlotMPolar import SlotMPolar
from pyleecan.Classes.MagnetType14 import MagnetType14
from numpy import pi, exp, sqrt
from pyleecan.Methods.Machine.Magnet.comp_height import comp_height
from pyleecan.Methods.Machine.Magnet.comp_surface import comp_surface

Mag14_test = list()
# Internal Slot inset
lam = LamSlotMag(Rint=40e-3, Rext=90e-3, is_internal=True)
lam.slot = SlotMPolar(Zs=4, W0=0.628, H0=0.02)
lam.slot.magnet = [MagnetType14(Lmag=0.5, Hmag=0.02, Wmag=0.628, Rtop=0.04)]
Mag14_test.append({"test_obj": lam, "S_exp": 9.022e-4, "Ao": 0.628, "H_exp": 0.02})

# Internal slot surface
lam = LamSlotMag(Rint=40e-3, Rext=90e-3, is_internal=True)
lam.slot = SlotMPolar(Zs=8, W0=0.628, H0=0)
lam.slot.magnet = [MagnetType14(Lmag=0.5, Hmag=0.02, Wmag=0.628, Rtop=0.05)]
Mag14_test.append({"test_obj": lam, "S_exp": 1.1089e-3, "Ao": 0.628, "H_exp": 0.02})

# For AlmostEqual
DELTA = 1e-4


@ddt
class test_Magnet_Type_14_meth(TestCase):
Exemple #12
0
stator.winding.conductor = CondType12(Nwppc=1,
                                      Wwire=0.0007,
                                      Wins_wire=1e-6,
                                      Kwoh=0.5)
# Rotor setup
rotor = LamSlotMag(
    Rext=0.085,
    Rint=0.082,
    L1=0.035,
    Kf1=0.95,
    is_internal=False,
    is_stator=False,
    Nrvd=0,
)
rotor.slot = SlotMPolar(Zs=18, W3=0, W0=0.23529412, H0=0)
rotor.slot.magnet = [MagnetType11(Wmag=0.23529412, Hmag=0.002)]

shaft = None
frame = None

# Set Materials
stator.mat_type = M400_50A
rotor.mat_type = M400_50A
stator.winding.conductor.cond_mat = Copper1
rotor.slot.magnet[0].mat_type = Magnet5

SPMSM_015 = MachineSIPMSM(
    name="SPMSM_015",
    desc="outer rotor SPMSM Machine B from Vu Xuan Hung thesis",
    stator=stator,
Exemple #13
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# Stator setup
stator = LamSlotWind(
    Rint=0.026, Rext=0.048, Nrvd=0, L1=0.09, Kf1=0.96, is_internal=False, is_stator=True
)

stator.slot = SlotW22(Zs=6, H0=0.002, H2=0.01, W0=0.44, W2=0.628)
stator.winding = WindingCW1L(qs=3, Lewout=0.015, p=2, Ntcoil=42, Npcpp=1)

stator.winding.conductor = CondType12(
    Nwppc=1, Wwire=0.0011283792, Wins_wire=1e-6, Kwoh=0.5
)
# Rotor setup
rotor = LamSlotMag(
    Rext=0.025, Rint=0.005, L1=0.09, Kf1=0.95, is_internal=True, is_stator=False, Nrvd=0
)
rotor.slot = SlotMPolar(Zs=4, W3=0, W0=1.3351769, H0=0.007)
rotor.slot.magnet = [MagnetType11(Wmag=1.3351769, Hmag=0.007)]

shaft = Shaft(Lshaft=0.442, Drsh=0.01)
frame = None

# Set Materials
stator.mat_type = M400_50A
rotor.mat_type = M400_50A
stator.winding.conductor.cond_mat = Copper1
rotor.slot.magnet[0].mat_type = Magnet1

SIPMSM_001 = MachineSIPMSM(
    name="SIPMSM_001",
    desc="polar SIPMSM with inset magnet from A. Rahideh and T. Korakianitis publication",
    stator=stator,
Exemple #14
0
machine5.stator = LamSlotWind()
machine5.stator.winding = WindingDW2L()
machine5.rotor = LamHole()
machine5.rotor.hole = list()
machine5.rotor.hole.append(HoleM50())
machine5.rotor.hole[0].remove_magnet()
machine5._set_None()  # Empty machine
machine5.type_machine = 5
machine5.stator.is_stator = True
machine5.rotor.is_stator = False

machine6 = MachineSIPMSM()
machine6.stator = LamSlotWind()
machine6.stator.winding = WindingDW2L()
machine6.rotor = LamSlotMag()
machine6.rotor.slot = SlotMPolar()
machine6.rotor.slot.magnet = [MagnetType11()]
machine6._set_None()  # Empty machine
machine6.type_machine = 6
machine6.stator.is_stator = True
machine6.rotor.is_stator = False

machine7 = MachineSIPMSM(init_dict=machine6.as_dict())
machine7.type_machine = 7

machine8 = MachineIPMSM()
machine8.stator = LamSlotWind()
machine8.stator.winding = WindingDW2L()
machine8.rotor = LamHole()
machine8.rotor.hole = list()
machine8.rotor.hole.append(HoleM50())
from ddt import ddt, data

from pyleecan.Classes.Arc1 import Arc1
from pyleecan.Classes.Segment import Segment

from pyleecan.Classes.MagnetType11 import MagnetType11
from pyleecan.Classes.LamSlotMag import LamSlotMag

from pyleecan.Classes.SlotMPolar import SlotMPolar
from numpy import pi, exp, angle, array
from pyleecan.Methods.Machine.Magnet.comp_surface import comp_surface

Mag11_test = list()
# Internal Slot surface
lam = LamSlotMag(is_internal=True, Rext=0.5)
lam.slot = SlotMPolar(H0=0, W0=pi / 4, Zs=4)
lam.slot.magnet = [MagnetType11(Hmag=1, Wmag=pi / 4)]
Mag11_test.append({"test_obj": lam, "S_exp": 0.78539616, "Ao": pi / 4, "H_exp": 1})

# Internal Slot inset
lam = LamSlotMag(is_internal=True, Rext=0.5)
lam.slot = SlotMPolar(H0=40e-3, W0=pi / 4, Zs=4)
lam.slot.magnet = [MagnetType11(Hmag=20e-3, Wmag=pi / 4)]
Mag11_test.append({"test_obj": lam, "S_exp": 7.3827e-3, "Ao": pi / 4, "H_exp": 20e-3})

# Outward Slot inset
lam = LamSlotMag(is_internal=False, Rext=0.1325)
lam.slot = SlotMPolar(H0=5e-3, W0=pi / 10, Zs=8)
lam.slot.magnet = [MagnetType11(Hmag=8e-3, Wmag=pi / 12)]
Mag11_test.append({"test_obj": lam, "S_exp": 2.09439e-6, "Ao": pi / 12, "H_exp": 8e-3})