On 14 Apr 2016 at 14:31, Jim Walls via EV wrote:

> Because of skin effect, the outer portion of a wire is carrying most of
> the current, so having a steel core does not affect the current
> carrying capability much.  The stuff I have seen has individual wires a
> little under quarter inch in diameter with the steel core being about
> 1/3 of the diameter.  

So the AL part would be !/4" / 3 == 1/12" thick or 2mm thick.  Under Skin 
Effect Wikipedia (not always reliable) says that at 60Hz skin depth is about 
8.5mm. So I would think that here skin effect wouldn't apply much if at all, 
and the entire conductor would be carrying the current roughly equally.  But 
then I'm not an engineer.

As that hobbyist-not-engineer I would also think that the effective DC or LF 
AC resistance of the wire would be equivalent to two resistors in parallel, 
with the resistances of the core and the shell proportional to their 
respective cross-sectional areas and to their materials' respective 
resistance per unit of length.  (But how would this be affected by the fact 
that they are in contact all along their lengths?)

A 6mm dia conductor would have a total cross sectional area of 28.26 mm^2.  
If the steel core is 2mm dia that is 3.14 mm^2, so the AL area is much 
larger, 25.12 mm^2.

I found the resistance of 2/0 carbon steel wire listed as 0.00212 ohms per 
meter.  That is a 67.43 mm^2 cross section.  A steel cross section of 
3.14mm^2 would then be 0.0455 ohm/m.

The resistance of 2/0 AL wire is 0.00042 ohms/meter, so an AL cross section 
of 25.12mm would be 0.00113 ohms/meter.

Thus, ignoring skin effect and assuming that the conductors being in contact 
the whole length has no effect, the effective resistance of a 1m length of 
this 6mm steel core cable should be 1/(1/R1 + 1/R2) == 0.00110 ohms (1.1 m-
ohm).

For comparison, a copper wire of the same size would be 0.000598 ohms/meter 
(about 0.6 m-ohm).  That's roughly half.

BUT, I think I recall reading that an important limitation in long distance 
power transmission is the tensile strength of the material, and that copper 
would need to be larger than necessary for the power itself just to support 
its own weight.  It would be more expensive, too.  Someone correct me if my 
memory is off here.


> Cables are made from a bunch of these wires.  What I was holding was a
> bundle about an inch and a half in diameter. 

So, in a stranded cable, does skin effect apply to the entire twisted 
bundle, or to each strand individually?  

If the former, then you're not getting any skin-effect advantage from the 
AL's conductivity over the steel's, because they're intermixed rather than 
having an actual steel core.  It might be just the resistances in parallel.

If the latter, uh, then it would appear that skin effect doesn't help much 
there either because of what I said above.

But I might be totally wrong about this.  I really don't understand skin 
effect very well, sorry.  

David Roden - Akron, Ohio, USA
EVDL Administrator

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