Don Kelly said:Thanks for the info. You did a good job. I have done a few rough
calculations as belowThe electrical efficiency is about 60% in either case (theoretically the
same) and any change in overall efficiency is in the mechanical side.For the Bottom bracket machine which appears to be the one that the test
results were for:
No capacitor: internal impedance at 190Hz =3.8+j8.07 ohms and total
impedance magnitude is 17.74 ohms so the internal voltage is about 9.5 V
With capacitor the total impedance drops to about 15.8 ohms and the internal
voltage generated is still 9.5V. Electrical efficiency in both cases is
about 76%For the Union machine:
Zinternal =7.9+j7.4 ohms (190Hz)so total circuit impedance is about 21.3
ohms without the capacitor so, using 0.53A or 6.4V the internal generated
voltage is about 11.3V
With capacitor the total impedance drops to 19.9 +j1 ohms or a magnitude of
19.93 ohms and the internal voltage is about 12V.
The difference may be some drop in demagnetising effect or a slight change
in speed. Electrical efficiency about 60%I used the higher inductance as this is the one that actually counts (direct
axis vs quadrature axis inductance).Actually, your bike generators are, electrically, rather conventional
synchronous machines with permanent magnet fields and the internal voltage
is speed dependent, with the current depending on the load and the internal
impedance. It is simply a lousy "voltage source " which is identical to a
lousy "current source".
However in the case of the bottom bracket machine, the inductance is
dominant and rises with speed as well so the total circuit impedance rises,
tending to limit the current somewhat. Note that at twice speed and a 12 ohm
load the current will be about 0.85A and the power about 8.6 watts. Not
really constant current. However there may be other factors involved such as
the demagnetising effect of the current actually reducing the voltage a bit.
That depends on the actual characteristics of the field magnets.
If you put a 24 ohm load on, at the original speed, then you'll get about
7.9V,0.33A and 2.6 watts. Lower current and power. At twice the speed the
internal voltage will be doubled as will the inductance so the output would
be 14.2V (probably a bit less) and current 0.6A for 8.4watts (actually less
current in practice as bulb is hotter). The Union machine will likely have a
wider current range due to its lower inductance.These figures are based on the data given and other factors come into play.
Some other experiments for you to while away spare time that you could spend
riding!.
:-) Oh, I've wasted plenty of riding time on these things!
Here you go. The article starts on page 4, I think. Some of the
figures don't print properly in this PDF, but were fine in the printed
version.
http://www.ihpva.org/HParchive/PDF/hp49-1999.pdf
- Frank Krygowski