Agreed.  
So, that's where the 24% number came from - your third method.  I was trying
to fit it into one of the first two methods, and it didn't make sense.
Peri

-----Original Message-----
From: [email protected] [mailto:[email protected]] On Behalf
Of tomw
Sent: 20 March, 2014 7:55 AM
To: [email protected]
Subject: Re: [EVDL] How can regen be a reason to buy or not? :
EVLN:Fiat500eEV> close to perfect

Peri,

There are a number of different ways to state the amount of regen you get.  

One is expressing as the ratio of energy gained through regen on a trip to
the total energy used on the trip.  So for example if I measure a total of 1
kWh on energy back into the batteries on a trip, and a total of 12 kWh out
of the battery on that trip, then regen was 1/12 = 8.3%.  I'm saying that I
expect this measure of efficiency to be in the range 3% to 25% for most
driving.  I have not done a test where I drive slowly, say 30 mph, with
repeated stops and on hills to see what value I get for this measure.

Another is looking at how much of the kinetic energy (mv^2/2) of the vehicle
is typically regained when you stop for say a traffic signal.  I've measured
that a few times at about 50%, by data logging battery current and voltage
at a sample rate of 1 sample per second.  The calculations I posted
generally agree with that.

I also have used one other measure...the ratio of the energy gained through
regen going down a hill to the energy used going up the hill.  This ratio
was 24% on the hill in the graph to which I gave a link.  The data also
shows that the energy used per mile going up that about 5% grade was 2.5
times larger than the average energy/mile used on the overall trip.

The efficiency of an AC motor mainly depends on the slip (in fact, the
Curtis "spyglass" gauge that comes with HPEVS motors/Curtis controllers has
an LED that lights up based on the slip to indicate 3 different levels of
efficiency).  You can have good efficiency at fairly high power if the motor
rpm is high and the torque is moderate so that slip is a few percent or so,
since power is the product of torque and shaft angular velocity. So
efficiency vs rpm curves for motors usually have a fairly broad region where
the efficiency is around 90%. Efficiency is lower during hard acceleration
though, so I assumed around 85% for the motor and 95% for the controller
(Rhinehart states 97% efficiency for their inverter), so about 80% combined.

Might be as low as 70% during the first part of acceleration I would guess. 
The LED on the "spyglass" changes from red (high slip, low efficiency), to
yellow to green (low slip, high efficiency) fairly quickly if I "floor" it,
indicating slip and inefficiency are only larger for a brief time.

In real driving you of course many times accelerate at a different rate than
you decelerate, and you don't drive at the same constant speed in between
stops/starts.  I just made those assumptions to simplify the equations. I
could include these refinements as well as grade, but I think the simpler
equation captures most of the behavior, and the refinement would not give
very different results. 





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