- You'd have to know the motor impedance at frequency to figure out load current, and thus cable losses. It could be measured. Knowing impedance (rather than just inductance) also provides an estimate for motor losses, which won't be small.
If a core has ideal Steinmetz losses (a reasonable approximation for laminated iron), the impedance above the eddy current cutoff frequency is a constant resistance. In effect, it's a transformer coupling into the shorted turn formed by the eddy current paths.
In the cutoff region, losses are independent of frequency, so you have no advantage switching at a higher or lower frequency -- the ripple remains constant, because the ripple current is a squarewave (or a little tilted from what inductance remains), not triangular.
Personally, I would bet the ripple current at the switching frequency is sufficiently small to ignore, and therefore, Litz'd cables hold no advantage. Do note, however, that very large applications will benefit, since 180Hz doesn't fit inside #4-0 very well, let alone anything bigger. :)
- DC link cap depends on the system, so I won't make any sweeping generalizations. It needs to be big enough to keep inverter ripple happy, while avoiding resonance with the battery wiring and anything else. Speaking of;
- AFAIK, batteries are more or less massive nonlinear capacitors. Viewed over time, a battery is firstly:
- Electrolyte resistance, ESR (temperature dependent)
- Inductor: lead inductance (time constant ~us)
- Capacitor: two plates surrounded by dielectric fluid or ionic double layers; depends on type and charge condition; lossy (low ms to sec?)
- Ionic diffusion: time and charge dependent effects: weird battery stuff; lossy (secs to mins)
- Charge storage: normal battery behavior, a near-constant-voltage charge reservoir with variable ESR (~mins to... well, years)
The only direct inductance is lead inductance, and the only direct resistance is electrolyte ESR. These limit the peak short circuit current under any charge or ionic condition. But actual short circuit current may be lower due to other effects (most notably the increase in ESR at low charge), and may vary up and down over time due to capacitance and diffusion and convection and... who knows. All these other effects could be modeled with various lumped RLC equivalents, but the magnitude and arrangement all depends, and you'd have to measure your own battery pack for which parameters are most significant.
(It seems, few people have any idea what a battery looks like, electrically, let alone are willing to put it into writing. The above is based on what I've heard, plus physical intuition, but isn't informed by actual representative measurements. This is more of a framework than a reference, anyway, because the magnitude of each effect varies, and you'll have to measure your own batteries to figure it out.)
- In short, I doubt the batteries themselves have a high impedance at ~10kHz, but more than a few feet of cables will have noticeable inductance, so that you wouldn't care what the battery actually is at that frequency. Enough link cap to smooth out the lead inductance and battery capacitance (and maybe take the edge off some of the ionic junk), with enough ESR to avoid resonances, is what's called for. Whether that value is more or less than provided, who knows.
(Yes, I know, I'm replying to the bits you quoted, not your actual question anymore.. hopefully it will still be useful.)
Tim
Seven Transistor Labs
Electrical Engineering Consultation
Website: http://seventransistorlabs.com
"P E Schoen" wrote in message
news:l7gc5c$ndm$1@dont-email.me...
As a result of the discussion of Litz wire and skin effect in my previous
post, I wondered if it may apply to VFD motor controllers, and
particularly
in EVs, where AC induction motors are often "overclocked" to 180 Hz or
even
higher. Most DIY EVs use welding cable for motor and battery connection,
and
there was recently a discussion about proximity of the controller to the
motor or battery pack:
http://www.diyelectriccar.com/forums/showthread.php/controller-closer-battery-motor-91282.html?p=372159#post372159
My post stated:
"I have been looking into Litz wire for a DC-DC transformer I am
building
that will operate at 50-100 kHz or so, and it does seem that the skin
effect
is quite significant. Here is some theory:
http://newenglandwire.com/products/litz-and-formed-cables/theory
"According to my calculations, #1/0 cable at 350 CM/Amp is good for 300
amps, and has a DC resistance of 100 uOhms/foot. So 10 feet of cable would
have a loss of 90 watts at 300 amps. However, the AC resistance at 20 kHz
is
12.4 times that, so it may be very significant (1100 kW). However, that is
just the carrier frequency and the effective waveform will usually be less
than 200 Hz, at which the cable has about 1.24 times that at DC, and the
losses will be 112 watts."
"It might be good to use 10 parallel strands of #10 AWG wire which has a
skin factor multiplier of 3.9 at 20 kHz, and negligible effect at the
effective frequencies of 10-200 Hz. It would be interesting to run a
temperature rise test on a #1-0 cable and a 10 strand bundle of #10 to see
if there is any significant temperature difference."
"This is actually AC resistance and not inductive reactance, so it is
actual power and not VA. "
"The DC cables may benefit from having some inductance, which may help
reduce the ripple on the DC bus link. I don't think the capacitor size is
affected by the distance from the battery, and in fact may be reduced for
a
long DC run. The battery pack probably has a very high impedance at 10-20
kHz. And the controller may benefit by having a long run to the motor, as
it
may increase the load inductance and minimize high current spikes."
I also found some interesting information on VFD cables, although it did
not
mention skin effect.
http://www.escmotors.com/public/pdfs/vfd_whitepaper_driveflex.pdf
Paul
http://www.pstech-inc.com