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Substation busbars eddies. Rod vs. Pipe

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. Rod 2-5/8" 2.5" Schedule 80 Pipe

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
Taking the conductance and the weight per foot into account you can calculate that the pipe carries the same current as the round bar with only (2.25/6.48)*(192/199)=33.5% of the weight.

Busbar Cross-section area, in² Resistance, μOhm/m Impedance, μOhm/m
Rod 2-5/8" 6.48 8 199
2.5" Schedule 80 Pipe 2.25 23 192

Current density distribution in a Rod at 0 Hz and 60 Hz:
Current density distribution in a rod at 0 Hz and 60 Hz

Current density distribution in a Pipe at 0 Hz and 60 Hz:
Current density distribution in a pipe at 0 Hz and 60 Hz