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""" | ||
Transformer leakage inductance calculation in Maxwell 2D Magnetostatic | ||
---------------------------------------------------------------------- | ||
This example shows how you can use pyAEDT to create a Maxwell 2D | ||
magnetostatic analysis analysis to calculate transformer leakage | ||
inductance and reactance. | ||
The analysis based on this document form page 8 on: | ||
https://www.ee.iitb.ac.in/~fclab/FEM/FEM1.pdf | ||
""" | ||
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########################################################## | ||
# Perform required imports | ||
# ~~~~~~~~~~~~~~~~~~~~~~~~ | ||
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import tempfile | ||
from pyaedt import Maxwell2d | ||
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temp_dir = tempfile.TemporaryDirectory(suffix=".ansys") | ||
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################################## | ||
# Initialize and launch Maxwell 2D | ||
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ | ||
# Initialize and launch Maxwell 2D, providing the version, path to the project, and the design | ||
# name and type. | ||
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non_graphical = False | ||
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project_name = "Transformer_leakage_inductance" | ||
design_name = "1 Magnetostatic" | ||
solver = "MagnetostaticXY" | ||
desktop_version = "2024.1" | ||
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m2d = Maxwell2d(specified_version=desktop_version, | ||
new_desktop_session=False, | ||
designname=design_name, | ||
projectname=project_name, | ||
solution_type=solver, | ||
non_graphical=non_graphical) | ||
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######################### | ||
# Initialize dictionaries | ||
# ~~~~~~~~~~~~~~~~~~~~~~~ | ||
# Initialize dictionaries that contain all the definitions for the design variables. | ||
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mod = m2d.modeler | ||
mod.model_units = "mm" | ||
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dimensions = { | ||
"core_width": "1097mm", | ||
"core_height": "2880mm", | ||
"core_opening_x1": "270mm", | ||
"core_opening_x2": "557mm", | ||
"core_opening_y1": "540mm", | ||
"core_opening_y2": "2340mm", | ||
"core_opening_width": "core_opening_x2-core_opening_x1", | ||
"core_opening_height": "core_opening_y2-core_opening_y1", | ||
"LV_x1": "293mm", | ||
"LV_x2": "345mm", | ||
"LV_width": "LV_x2-LV_x1", | ||
"LV_mean_radius": "LV_x1+LV_width/2", | ||
"LV_mean_turn_length": "pi*2*LV_mean_radius", | ||
"LV_y1": "620mm", | ||
"LV_y2": "2140mm", | ||
"LV_height": "LV_y2-LV_y1", | ||
"HV_x1": "394mm", | ||
"HV_x2": "459mm", | ||
"HV_width": "HV_x2-HV_x1", | ||
"HV_mean_radius": "HV_x1+HV_width/2", | ||
"HV_mean_turn_length": "pi*2*HV_mean_radius", | ||
"HV_y1": "620mm", | ||
"HV_y2": "2140mm", | ||
"HV_height": "HV_y2-HV_y1", | ||
"HV_LV_gap_radius": "(LV_x2 + HV_x1)/2", | ||
"HV_LV_gap_length": "pi*2*HV_LV_gap_radius", | ||
} | ||
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specifications = { | ||
"Amp_turns": "135024A", | ||
"Frequency": "50Hz", | ||
"HV_turns": "980", | ||
"HV_current": "Amp_turns/HV_turns", | ||
} | ||
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#################################### | ||
# Define variables from dictionaries | ||
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ | ||
# Define design variables from the created dictionaries. | ||
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m2d.variable_manager.set_variable(variable_name="Dimensions") | ||
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for k, v in dimensions.items(): | ||
m2d[k] = v | ||
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m2d.variable_manager.set_variable(variable_name="Windings") | ||
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for k, v in specifications.items(): | ||
m2d[k] = v | ||
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########################## | ||
# Create design geometries | ||
# ~~~~~~~~~~~~~~~~~~~~~~~~ | ||
# Create transformer core, HV and LV windings, and the region. | ||
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core_id = mod.create_rectangle( | ||
position=[0, 0, 0], | ||
dimension_list=["core_width", "core_height", 0], | ||
name="core", | ||
matname="steel_1008", | ||
) | ||
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core_hole_id = mod.create_rectangle( | ||
position=["core_opening_x1", "core_opening_y1", 0], | ||
dimension_list=["core_opening_width", "core_opening_height", 0], | ||
name="core_hole", | ||
) | ||
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mod.subtract(blank_list=[core_id], tool_list=[core_hole_id], keep_originals=False) | ||
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lv_id = mod.create_rectangle( | ||
position=["LV_x1", "LV_y1", 0], | ||
dimension_list=["LV_width", "LV_height", 0], | ||
name="LV", | ||
matname="copper", | ||
) | ||
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hv_id = mod.create_rectangle( | ||
position=["HV_x1", "HV_y1", 0], | ||
dimension_list=["HV_width", "HV_height", 0], | ||
name="HV", | ||
matname="copper", | ||
) | ||
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# Very small region is enough, because all the flux is concentrated in the core | ||
region_id = mod.create_region( | ||
pad_percent=[20, 10, 0, 10] | ||
) | ||
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########################### | ||
# Assign boundary condition | ||
# ~~~~~~~~~~~~~~~~~~~~~~~~~ | ||
# Assign vector potential to zero on all region boundaries. This makes x=0 edge a symmetry boundary. | ||
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region_edges = region_id.edges | ||
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m2d.assign_vector_potential( | ||
input_edge=region_edges, | ||
bound_name="VectorPotential1" | ||
) | ||
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############################## | ||
# Create initial mesh settings | ||
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ | ||
# Assign a relatively dense mesh to all objects to ensure that the energy is calculated accurately. | ||
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m2d.mesh.assign_length_mesh( | ||
names=["core", "Region", "LV", "HV"], | ||
maxlength=50, | ||
maxel=None, | ||
meshop_name="all_objects" | ||
) | ||
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#################### | ||
# Define excitations | ||
# ~~~~~~~~~~~~~~~~~~ | ||
# Assign the same current in amp-turns but in opposite directions to HV and LV windings. | ||
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m2d.assign_current( | ||
object_list=lv_id, | ||
amplitude="Amp_turns", | ||
name="LV" | ||
) | ||
m2d.assign_current( | ||
object_list=hv_id, | ||
amplitude="Amp_turns", | ||
name="HV", | ||
swap_direction=True | ||
) | ||
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############################## | ||
# Create and analyze the setup | ||
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~ | ||
# Create and analyze the setup. Setu no. of minimum passes to 3 to ensure accuracy. | ||
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m2d.create_setup( | ||
setupname="Setup1", | ||
MinimumPasses=3 | ||
) | ||
m2d.analyze_setup() | ||
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######################################################## | ||
# Calculate transformer leakage inductance and reactance | ||
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ | ||
# Calculate transformer leakage inductance from the magnetic energy. | ||
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field_calculator = m2d.ofieldsreporter | ||
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field_calculator.EnterQty("Energy") | ||
field_calculator.EnterSurf("HV") | ||
field_calculator.CalcOp("Integrate") | ||
field_calculator.EnterScalarFunc("HV_mean_turn_length") | ||
field_calculator.CalcOp("*") | ||
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field_calculator.EnterQty("Energy") | ||
field_calculator.EnterSurf("LV") | ||
field_calculator.CalcOp("Integrate") | ||
field_calculator.EnterScalarFunc("LV_mean_turn_length") | ||
field_calculator.CalcOp("*") | ||
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field_calculator.EnterQty("Energy") | ||
field_calculator.EnterSurf("Region") | ||
field_calculator.CalcOp("Integrate") | ||
field_calculator.EnterScalarFunc("HV_LV_gap_length") | ||
field_calculator.CalcOp("*") | ||
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field_calculator.CalcOp("+") | ||
field_calculator.CalcOp("+") | ||
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field_calculator.EnterScalar(2) | ||
field_calculator.CalcOp("*") | ||
field_calculator.EnterScalarFunc("HV_current") | ||
field_calculator.EnterScalarFunc("HV_current") | ||
field_calculator.CalcOp("*") | ||
field_calculator.CalcOp("/") | ||
field_calculator.AddNamedExpression("Leakage_inductance", "Fields") | ||
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field_calculator.CopyNamedExprToStack("Leakage_inductance") | ||
field_calculator.EnterScalar(2) | ||
field_calculator.EnterScalar(3.14159265358979) | ||
field_calculator.EnterScalarFunc("Frequency") | ||
field_calculator.CalcOp("*") | ||
field_calculator.CalcOp("*") | ||
field_calculator.CalcOp("*") | ||
field_calculator.AddNamedExpression("Leakage_reactance", "Fields") | ||
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m2d.post.create_report( | ||
expressions=["Leakage_inductance", "Leakage_reactance"], | ||
report_category="Fields", | ||
primary_sweep_variable="core_width", | ||
plot_type="Data Table", | ||
plotname="Transformer Leakage Inductance", | ||
) | ||
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###################################################################### | ||
# Print leakage inductance and reactance values in the Message Manager | ||
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ | ||
# Print leakage inductance and reactance values in the Message Manager | ||
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m2d.logger.clear_messages() | ||
m2d.logger.info( | ||
"Leakage_inductance = {:.4f}H".format(m2d.post.get_scalar_field_value(quantity_name="Leakage_inductance")) | ||
) | ||
m2d.logger.info( | ||
"Leakage_reactance = {:.2f}Ohm".format(m2d.post.get_scalar_field_value(quantity_name="Leakage_reactance")) | ||
) | ||
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###################################### | ||
# Plot energy in the simulation domain | ||
# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ | ||
# Most of the energy is confined in the air between the HV and LV windings. | ||
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object_faces = [] | ||
for name in mod.object_names: | ||
object_faces.extend(m2d.modeler.get_object_faces(name)) | ||
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energy_field_overlay = m2d.post.create_fieldplot_surface( | ||
objlist=object_faces, | ||
quantityName="energy", | ||
plot_name="Energy", | ||
) | ||
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m2d.save_project() | ||
m2d.release_desktop() | ||
temp_dir.cleanup() |
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