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Substation busbars eddies. Bar vs. C-channel

QuickField simulation example

Effect of power frequency and skin effect on current carrying rods, pipes and channel.

Problem Type
Plane-parallel problem of AC Magnetics.

Geometry
Substation busbars eddies Calculate the dependence of the busbar losses on the shape. Bar 6" ⨯ 0.5" Channel 6" w ⨯ 2.5" d

Given
Material of busbar - aluminum with electrical conductivity σ = 30.1 MS/m
Frequency f = 0 Hz, 60 Hz.

Task
Calculate busbar DC resistance and impedance at 60 Hz.

Results

Busbar Cross-section area, in² Resistance, μOhm/m Impedance, μOhm/m
Bar 6" ⨯ 0.5" 3 17.2 182
C-channel 6" w ⨯ 2.5" d 2.4 21.3 156

Current density distribution in a Bar at 0 Hz and 60 Hz:
Current density distribution in a bar at 0 Hz and 60 Hz

Current density distribution in a C-channel at 0 Hz and 60 Hz:
Current density distribution in a channel at 0 Hz and 60 Hz