MACchine said:Any motor will have drag regen or not when powered, but here you get to a 4 X advantage by pretending that there is no drag in the regen but there is drag in the non-regen.
I'm not totally sure I follow your line of thinking here, is it possible to try rephrasing the objection? When you have a system that freewheels, then there is no motor core loss when the motor isn't being run, while a direct drive system will have motor core loss during the entire trip regardless of how much the motor is being used. My point was that the amount of energy you get back into the pack from regen is typically more than the energy you need to overcome the core losses for the entire trip. So that in principle, you can have a motor controller that powers the direct drive hub with just enough watts to to make it have zero drag, and the extra watt-hours consumed by doing this is generally less than watt-hours you recoup back into the battery via using regen whenever you come to a stop.
With the numbers from this earlier study it worked out to being twice as many watt-hours returned from regen than are needed to overcome the motor drag. So based on this, if you are comparing two systems that are otherwise identical, one of which has a freewheel (so can't do regen) and the other has no freewheel and does regen, and on average you are using the motor 50% of the time, then the energy recovered by regen in the first setup is four times higher than the energy saved by the freewheeling setup.
I wouldn't say 4X advantage, but if you are talking watt-hours, then the guy on the freewheeling bike would say "Hey, because my ebike freewheels, for the times I wasn't using the motor I was able to save 10 watt-hours of energy compared to you by having no motor drag", while the guy on the regen system doing the same trip would say "Sure, I had an extra 10 watt-hours of drag energy that I needed to put into my system because it doesn't freewheel, but I got 40 watt-hours of energy back into the pack from regen every time I stopped. So on the whole my total energy consumption (human + battery) was 30 watt-hours less than yours, take that!"
So here is how I see it. A regen bike will be ridden differently from a non-regen bike, a regen bike will be ridden like a motorcycle where you power most of the way to a red light and then release the throttle and let the engine drag bring you nearly to a stop before you brake, a non-regen bike as soon as you see the light turn red you release the throttle and coast all the way to the light. This means that the non-regen bike coasts almost always twice are far as the regen bike when approaching a red light, sometimes 3 times as far.
This point is of course totally true. There's no doubt that riding habits change when you have regen vs. when you are trying to preserve every ounce of momentum because your brakes just convert it into heat, and that would definitely play into actual Wh/km numbers. Similarly on steep downhills people with a freewheeling setup will just fly as fast as they can for the thrill of it, while those with regen will get a thrill seeing how many watts they can charge their batteries at while their speed is more tempered as a result. That means in stop and go riding, the regen system will have a faster speed on average, while in up/down hilly terrain the freewheeling rider would average a faster clip.
Thus, I believe based on the above revised analysis you have not proven which one wins. I believe the ONLY way to really get to the bottom of things is to build to nearly identical bikes one with regen the other with freewheels and run these bikes on the same path at the same time riding together in the way most efficient for either bike and see what wins.
I wasn't trying to say one system "wins" over the other, just that the oft used argument against regen enabled systems is that you waste a ton of energy overcoming motor drag and that makes them less efficient than freewheeling rigs. This is psychologically true for a lot of people, but it doesn't really stand up to energy scrutiny.
Since doing this original talk 6 years ago I've had a chance to think about it a lot and also gather a lot more empirical data too. In the original analysis I was using 0.5 N-m as the average drag torque from core losses in the motor, but more typically the larger DD motors used these days like the Crysatlyte 'H' series are about 1Nm of drag, and the results are less optimistic in this scenario with the regen just breaking even over the core losses.
As for the amount of energy recovered during riding with regen, we have 3 staff here on regen equipped ebikes and the recovery rate seems to hover pretty steady at about 0.7-1 Wh-km returned to the pack. So when we do trips that really milk regen for like a 20% regen rate, it's usually while drawing only 5Wh/km for consumption, and the net return is ~20% of 5Wh/km = 1 Wh/km. While higher power usage trips that see lower 4-5% regen rate are usually consuming on the order of 15-20 wh/km, which results in a similar 0.75-1 wh/km for recovered energy.
At that rate, the motor drag needs to put an average drag on the bike of about 3 newtons or less in order for it to be fully offset by the regen capture.
If you do that, it would be great. There is far too little empirical data being shared in this space, and a little too much armchair analysis!I may get a chance to do this in the next couple years, we will see.
-Justin