Gentlemen – thank you for your explanations. It sounds very reasonable.
You confirmed that motors using gears may be more effective in untypical conditions – eg. at low speeds without pedaling assistance (climbing ability). I still focus on maximum speed. One reason is that I am more interested in max speed at this moment and the second is that I find it easier to make calculations using max speed argument (lack of technical education).
You said that one great advantage of the motor hub is that it does not use chain and it saves on standard bike transmission loses. I think that we may ignore transmission loses since any simple well maintained derailleur system offers 98-99% efficiency. Even 95% efficiency should allow us to ignore this element.
Let me come back to the car gearbox analogy. A motor hub (esp. direct drive, but also geared hub) is like a car using one gear. Usually the 3rd one. The engine can move the car and you can drive pretty fast as well.
If you have an opportunity to use 5 gears, you can start easier (1st and 2nd) and you can drive faster (4th and 5th) – with the same engine.
This analogy is imperfect at least for two basic reasons:
1. the electric motor useful RPM range is far more wider than useful RPM range in any internal combustion engine.
AND
2. as flecc pointed out – the electric bike has two power sources: the motor and the rider. The rider can support the motor when it is inefficient (low speeds). The idea of power assisted bike is based on the assumption that the biker keeps on pedaling even when motor works.
But maybe this analogy is still reasonable (to certain extent). Let me give you an example, let figures talk (German speaking people would probably say: Zahlen erzählen)
I take a reputable motor, Suzhou Bafang SVXK (
Suzhou Bafang Electric Motor Science-Technology Co.,Ltd.). 250W, max load 195RPM. I am trying to check what would be the maximum speed of the bike. To make matters simpler I assume that we have no pedaling assistance.
In the calculations below I use two bike simulators:
Human Powered Vehicle Speed Simulator and
Cycling: Steady State Power Equation. The bike's weight = 30kg, the biker's weight = 80kg, high rider, relaxed position, wide slicks.
Let’s assemble the motor in a 26” wheel, semi-slick wide tires 26x1,95.
Max load 195RPM produces the speed of 22,5kph (14mph).
Theoretical calculations for 250W continuous power (ignoring RPM aspect) show that the bike should reach the speed of 36,5kph (22,7mph). This speed represents 298RPM. The rider may start pedaling at 22,5kph and try to attain 36,5kph, but the motor works just as a freewheel at any speed above 195RPM (22,5kph).
What power does the bike require to maintain the speed of 22,5kph (14mph)? The simulator shows that this speed requires just ~80W. Other simulator confirms this calculation (85W).
What does it mean? I understand that the bike is undergeared (in car terminology). It delivers 250W at 195RPM. At this wheel size 195RPM = 22,5kph (14mph). On the other hand 22,5kph (195RPM) requires only 80W.
Maximum motor power (250W) in good conditions (quality flat road, no face wind, etc) would effectively be used at 300RPM. As we have no gears and we loose the opportunity to use this motor power effectively.
Are these calculations correct? Any mistake in reasoning?
If the above is correct – I believe it confirms the thesis that electric ride in order to be energy effcient requires gears. One gear (eg. motor hub) means that the motor drives the bike using the gear designed for average conditions – no extra climbing ability and no extra speed (like the 3rd gear in the car).