Yes, that's true that no current EVs have a gearbox...
Just to be clear: they all have a gearbox, but they don't have a
multi-speed gearbox (just a single ratio or "single speed" gearbox).
...this would only be for simplicity sake. That being said though, would there not be a benefit to keep the electric motor in a certain RPM range to extend the battery life? Or is that completely irrelevant for electric motors, and they use the same amount of power regardless at what RPM they're running at?
Motor speed does matter both to available power and to efficiency. In most production EVs, the manufacturers have decided that the efficiency benefit of changing ratios is not sufficient to justify the cost, weight, and complexity.
To me, the main reasons for wanting multiple ratios would be:
- use of a motor which does not have as wide an effective speed range as the high-voltage motors used in production EVs, or
- wanting to operate well at both highway speeds and very slowly, such as crawling off-road.
For just crawling off-road, the low range of a typical "transfer case" (which is really a multi-function device with auxiliary transmission, front drive disconnect, and "drop" or "transfer" gear or chain set) would provide the desired reduction gearing... especially if extra-low gearing is available, such as 4:1 rather than the more typical 2.5:1 or so.
The other option which I forgot to mention is getting rid of the gearbox, and replacing it with a 2 speed over drive unit which would give 2 speeds.
A more compact and simpler two-speed gearbox - intended as an auxiliary unit behind a conventional transmission but used in this case as the only transmission - is an appealing idea. A couple of notes, though:
- You probably need an underdrive (with one direct ratio and one reduction ratio) rather than an overdrive (which has one direct ratio and one overdrive ratio), since you probably want the motor to run faster, not slower.
- These are not nearly as easy to find as they were a few decades ago.