Victor- you have the tallest first gear of all the CRXes. Which means
9.6:1 for first, and as you stated, 4.87:1 for second and 3.05 for
third. 

So for a 22.8" tire it is about a 0.95 foot radius.
So 129 peak lb-ft of torque for the 30kW motor. Let's assume that there
is no derating of torque at 0 rpm.
Again with 140 peak lb-ft for the 45kW motor. 

129 lb-ft * 4.87 multiplier = 628 lb-ft
140 lb-ft * 4.87 multiplier = 681 lb-ft

(30kW motor)at a 0.95 foot radius = 628lb-ft/0.95ft = 661 lb of thrust.
So if the car weighs 3000 lbs, then it has a gradability of 22%. Which
is steep. 

(45 kW)at a 0.95 foot radius = 681lb-ft/0.95ft = 717 lb of thrust. So if
the car weighs 3000 lbs, then it has a gradability of 23.9%. Which is
steeper still. 

now derate both 20% at stall.

Notice the motor curves don't show stall. Victor's site is fairly honest
about it. Max torque at 1000 rpm. It isn't uncommon for a controller to
do this. See my section on torque speed graphs below.

You get about 17.6% and 19.0% respectively
Then add another 500 lbs of batteries and humans to go to 3500lbs.

You get 15.1% and 16.3%

But go to first gear in the 30kW motor car at 3500lbs and 20% derate at stall.

129*9.6/0.95*0.8/3500 =29.7%
140*9.6/0.95*0.8/3500 = 32.3% (just for "Sheer's" benefit, as I think
this is close to the QM)

You probably don't have to think about wheelspin until you hit 40-50% gradability.

Your 30kW motor can now outclimb the single speed 45kW. Or for a hill
the 45 can just climb (same wheel torque), you can run 16.3/28.1 times
the current or 58% the motor current for the same grade.

 But I bet the smaller, lighter motor is cheaper. And makes the same
peak power as the big one, just for 90 seconds instead of 180 seconds.
And climbs steeper hills if you use first gear. In this case, as is
often the case, the *short term* power limit is the inverter, not the motor.



For efficiency tradeoffs
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Look at http://www.uqm.com/Technologies/specsheets/CaliberEV53.pdf

Funny, the efficincy plot doesn't go below 1500 rpm?

or here:

http://www.uqm.com/Technologies/specsheets/PowerPhase100.pdf

this goes all the way down to 500 rpm, and 7% efficiency has been lost
just by 500 rpm

But that's BLDC, not AC, you say.

http://www.solectria.com/downloads/ac90candd.pdf

look at the efficiency with respect to RPM and torque there.

the metric mind plot shows 70% and falling by 1000 RPM, off from 88% for
one of their AC systems.


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This is great for number crunching for efficiency improvements, but
there are a few streets around here that I personally have measured at
17%. Driveways and ramps can be more than this. From a stop, 2nd gear
with the 45kW motor won't climb it. But the 30kW motor with first gear
will. You will just have to shift.

AC doesn't fail you in the middle with a single speed it is at either
end. The motor overspeed end and the roll backwards down the hill end.
Either pick one of those to avoid, or buy bigger $ilicon. The motor
isn't the transmission, it is the IGBTs that are the transmission, and
they aren't free. And they come in multiples of 3.

Seth

(who can't leave a thread well enough alone)

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