I have seen it both ways.
  
 Jim Walls
  
  
  

----------------------------------------
 From: "Cor van de Water via EV" <[email protected]>
Sent: Friday, April 15, 2016 1:49 PM
To: "Electric Vehicle Discussion List" <[email protected]>
Subject: Re: [EVDL] Aluminum cables   
David,
I think there is a little confusion between "individual wires" and
cable.
What I typically see is a steel core (for example 1/4" dia) with 6 alu
wires
wound around it, each another 1/4" so total cable dia is 3/4" and to the
electric field it looks like a wire that is 3/4" dia with the core 1/4"
steel and the "skin" of alu is 1/4" thick so this captures almost all of
the skin-effect current (6mm versus 8mm)
Hope this clarifies,

Cor van de Water
Chief Scientist
Proxim Wireless

office +1 408 383 7626 Skype: cor_van_de_water
XoIP +31 87 784 1130 private: cvandewater.info

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-----Original Message-----
From: EV [mailto:[email protected]] On Behalf Of EVDL
Administrator via EV
Sent: Friday, April 15, 2016 12:57 PM
To: Electric Vehicle Discussion List
Subject: Re: [EVDL] Aluminum cables

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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