Dear Mrs. Weston,

As a resident of Miami where we have no hills and a driver of an electric 
car that only has one gear, I might not be the best qualified person to 
answer this question but here goes...

Let me rephrase the question a little.

Question: A driver of a gas power car will shift to a lower gear to help his 
or her car accelerate up a hill. What would the driver of an electric car 
do?

Hypothesis: The driver of an electric car would also shift down to a lower 
gear to help his or her car accelerate up the hill.

Answer: Surprisingly, the driver of an electric car might do better to shift 
up into a higher gear to help the car accelerate up the hill.

The reason has to do with the difference between the torque characteristics 
of a gasoline engine and an electric motor. If you were to graph out the 
torque produced by a typical gas engine at the different speed of operation, 
it would look like an inverted 'V'. Torque would be in pound-force foot 
(lbf-f) on the vertical axis and speed in revolutions per minute (RPM) along 
the bottom.

At 0 RPM, torque would be 0. At 100 RPM, torque would be a little higher and 
would continue to increase until, for our example, around 5,000 RPM. After 
5000 RPM, torque would begin to drop again.

As the gasoline car starts up the hill, the car slows down because it would 
require more torque to continue up the hill at the same speed. As the speed 
drops, the motor spins more slowly. If the car was at 5,000 RPMs on the flat 
road, going up the hill the motor might slow to 4,000 RPMs. Since at 4,000 
RPMs, the motor will provide less torque than at 5,000 RPMs, the motor will 
struggle even more. The RPMs will continue to drop and the motor will be 
able to provide less and less torque.

The driver shifts down to a lower gear which allows the motor to turn more 
quickly compared to the speed of the car. This means that even though the 
car is going slower, the motor is back at 5,000 RPMs and able to deliver 
maximum torque to the system.

On an electric car, the graph of torque to RPM will look like a downward 
slope. At 0 RPM, the electric motor produces it's maximum torque. As the 
RPMs increase, torque drops.

So when the electric car starts up the hill and the RPMs start to drop, the 
torque the motor can provide will increase. By shifting to a longer gear, 
the motor will drop to an even lower RPM and be able to provide even more 
torque.

I hope this helps.

Cliff Rassweiler
Driver
ProEV's Kokam Battery powered Electric Imp
www.ProEV.com




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