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Main >> Applications >> Sample problems

Slot of electric machine - QuickField simulation example

Current-density distribution and AC resistance of a conductor embedded in an electric-machine slot, showing skin effect at industrial power frequency.

Engineering question

How to find skin effect in electric machine slot conductor?

Answer
Solve the AC-magnetic current distribution in the slot conductor, integrate the Joule losses, and calculate AC resistance from P/I^2.

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Typical applications
motor slot conductors, stator slot windings, embedded conductors

Slot of electric machine

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Simulation problem

Problem Type
Plane-parallel problem of AC magnetics.

Geometry
Slot of electric machine Current-density distribution and AC resistance of a conductor embedded in an electric-machine slot, showing skin effect at industrial power frequency. Copper bar Stator Air 6 mm 3 mm 20 mm

Given
Conductivity of copper σ = 58 MS/m;
Current I = 500 A, frequency f = 50 Hz.

Task
Calculate the current density distribution and the resistance.

Solution
Relative permeability of steel is much higher than that of air and copper. On stator surface Ht=0 boundary condition is specified.

Results
Resistance is 0.296 mOhm per 1 meter of the conductor length.
slot of an electric machine

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