John in CR wrote:
Absolutely ridiculous condition
I chose this example since it is a real world example. Two BPM are indeed capable of spreading ~250W of loss each. Even justins simulator tells that it wont overheat. One alone could do the job, too, with the right reduction. I tried that. But you need to spin it so fast that eddy current loss becomes a problem (around 2000rpm at the rotor around 9:1 reduction). Efficiency does not get into the 80s. I'd say that 1200W output is the max the BPM can do with acceptable efficiency. All figures you need to calc are given in the spreadsheet i uploaded above. Besides eddy current figures, had no time to dig them out yet. Not too interesting anyway.
Proof? Proof is, that in this condition, the 2 BPM win. They get better efficiency. Even with core loss, i bet. I really dont get what you wanna tell me. I never questioned that the Hubmonster is capable of a lot more power. Just wanted to explain the formulas using example that has results that are not so obvious if someone is not familiar with them
Dont question that the Hubmonster wont overheat from 600W of loss. I see people who try climbing technically passages with the big DD hubs in 26" rims. They even get worse Km² figures then the Hubmonster, like the Cromotor. Still people do so
Punx0r, you got it. Sadly reduction ratios much larger than 5:1 become impractical in a single stage. i still think that Km² is very good tool for choosing gear reduction. I could also have said a Km² of 60 is a good number. But it isn't since for the motors that people use for such purposes on this forum, the core loss would become a problem at these gearing ratios. The truth is anywhere in between that 30 and maybe 60.
Sure a bike using the Hubmonster in a 26" wheel just shall not be used in the above manner. But i dont want a bike that shall not be used in some manner, it shall do the most possible. This is why i can only support miles in his trying to establish drives that can go fast with minor core loss while going up steep hills at low i²R loss. DD cant do either thing.
The Nissan leaf has a reduction ratio of 7.9377:1. The leaf motor does 280Nm, this is 2222Nm at the wheel. Just enough to make the tires slip. the Km² becomes 1738. Tire circumference is ~1985mm, close to a 26" wheel at ~2100mm.
The leaf weight is about 10 times the weight of a 150kg bike. So it needs round about 1000Nm at the wheel to climb that 20% hill. I²R loss is I²R = (T/(Kt*reduciton))² * Rm = (1000/ (.525*7.9377))²*.01Ω = 575W loss
The wheel Kv is 18.2/7.9377=2.3, at a battery voltage of 360V, this is only 828rpm no-load at the wheel. Enough to get 99.3 kph no load speed. not enough for 140kph. Guess this is where field weakening starts. Odd numbers, still they need to be compared somehow.