minispeed said:
False when coming to a stop yes but if you aren't stopping and are going down a long grade at highway speeds followed by a level road then maybe true. If going down the long grade would get you up to a speed higher than your usual level cruising speed then the energy wasted to drag will grow.
The key point is to find when that extra drag energy lost at that higher speed is greater than the efficiency loss of using regen...
As you suggest, it has to do with the length and/or steepness of the grade. In physics terms the
limit is "terminal velocity", where the energy lost to drag equals the energy input from gravity, so
all potential energy is being lost. Terminal velocity depends on air density and the grade (as well as rolling resistance).
Regen would always be preferable to traveling at terminal velocity. When traveling at speeds well below terminal velocity, coasting for a time can be more efficient than regen, although coasting
up to terminal velocity is not. When reducing speed in ordinary conditions, such as coming to a stop, coasting is usually more efficient than regen.
Much of this is dependent on the efficiency of regen and we have had a number of debates about that figure. I'll guess 50%, although I don't think we ever pinned it down. If it is that low, coasting is going to be preferable to regen in most ordinary driving situations (where safe to do so, of course).
Since I drive hills and undulating terrain all the time, and rarely deal with traffic, I get to play with regen levels and coasting a lot. It's a game.
One of my routine situations is a reduction in speed limit from 60 mph to 50, on a mild upgrade. I just shift to neutral until my speed drops near 50 then shift back to D and reset cruise control. I do the same thing when the speed limit drops to 35 and 25 later on. At my altitude drag at 60 mph isn't very much but the drag+grade does gradually slow me down, while momentum keeps me moving forward with no energy input. The alternative, of course, is to quickly regen my way to the lower speed and then continue to draw energy from the battery over the (rather long) distance that I would otherwise have been coasting uphill.