Thanks "d8veh" for replying, however, despite a career designing power drives it has not helped me better understand the point raised.
I can't justify for my academic interest to buy EN15194 to try to unravel the contradictions in my mind between the published 250 kW limitation here in the EU and having installed motors allowed to develop greatly more than that.
I can readily see issues with extreme torque loadings, but not power, the more so with the higher power levels the same units could be supplied at for other markets.
Thanks for trying anyway.
Maybe a little of the history will help. Despite their first appearances being in Germany and The Netherlands in the 1920s, England was a pioneer in trying to get e-bikes actually onto the market in the early 1980s, and in 1983 we had regulations created for them.
At the core was a strict 200 watts assist limit and 12 mph maximum assist speed, later changed to 15 mph. But the actual 200 watts was useless and they failed to take off in the market. Then in the late 1990s Japanese makers like Yamaha entered the UK market with their nominal 250 watt motors.
They accorded with both Japanese and EU law, but not UK law of course. The Japanese law on maximum was obviously pragmatic since it was obvious that the Yamaha at least was way over 250 watts, some remarking it was moped like in the way it delivered power, hill climbing without pedalling being possible most of time.
Here in the UK no-one took any notice, the police didn't have a clue about the regulations, there were too few e-bikes to bother with, the retailers didn't appear to have troubled consciences and the Department for Transport had more important things to worry about.
So for 13 years e-bikes were being sold in ever increasing numbers, illegal in respect of their nominal 250 watts and illegal in respect of their actual power, that typically being around 500 watts. And that of course was really what was needed, an actual 200 or 250m watts being very inadequate.
The mainland EU had a somewhat similar situation since their e-bike sales had been growing apace.
Once it was recognised the situation was clearly out of hand, to correct it meant destroying a long established large market and scrapping many hundreds of thousands of e-bikes, or doing what the Japanese had done, take a liberal view of the maximum power allowed*.
The Japanese had compensated by having strict law on the phase down of power, the maximum available only allowed up to 15 kph (9.4 mph), then declining at a constant rate to zero at 25 kph (15.5 mph) commensurate with a strict formula**.
The EU chose to do what the Japanese had done with a liberal view on the maximum power, but only specified some power phase down towards 25 kph but without specification on how that was to be applied. So everyone ignored that part.
Twelve years later in April 2015 the UK adopted what the EU had done, so that is where we are at, a very loose and practical interpretation of maximum power.
So long as manufacturers don't push their luck too far and keep below about 700 watts actual, I don't anticipate any problems.
* Japanese law states the maximum power allowed must not exceed what the rider can put in. Given that the best riders can output up to 1000 watts and 450 watts for an hour or so, it's a very loose law in this respect.
** Japanese law prescribes the power phase down slope using this equation:
1 - ( [kph - 15] / 9 ) = assist factor
where kph is the road speed.
Quite simply what this means is the road speed in kph, minus 15, then divided by 9 produces a result which is subtracted from 1.
In a practical example, at 20 kph (12.5 mph), taking 15 from that 20 kph gives us 5. Then that 5 divided by 9 gives 0.55 recurring. To complete the equation we take that 0.55 from 1 to give 0.45 or 45%, and that's the ratio of rider power that the motor is allowed to assist with at 12.5 mph.
At the lower speed of 11 mph (17.6 kph) using the same calculation, 17.6 minus 15 then divided by 9 and taken away from 1 gives 0.71 or 71% of the riders input given as motor assistance.
At the higher speed of 13 mph (20.8 kph), only 36% of rider input is given by the motor.
It's this strict phase down detail that's missing from our Western law.
.