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Slot embedded conductor skin effect

QuickField simulation example

In the lab the current density is obtained by potential measuring in the conductor cross-section by voltmeter. Phase is determined by the digital phasemeter.

Problem type
Plane-parallel problem of AC magnetics.

Geometry
Slot embedded conductor Skin effect occurring at the industrial frequency of 50 Hz. Copper Steel 30 mm 8 mm 12 mm 60 mm 100 mm

Given
Relative permeability of steel μ=100
Relative permeability of air, copper μ= 1
Conductivity of copper σ=57 MS/m .
The steel is laminated, so its conductivity along the bar is zero.
Frequency f = 50 Hz.
The total current per slot is 300 A (peak value)

Task
Draw a plot of current distribution within the conductor placed in the slot of electric motor.

Solution
Each slot is symmetrical about the vertical axis. One half of each slot is included in the model. Although these parts are in the same geometry model file, they do not affect each other, bacause parts are separated.

Results
Vertical distribution of current density (RMS value) along the copper bar (y=0 at the bottom of the slot).


current distribution in the slot embedded conductor