Don Kelly said:Thanks- that is enough info to determine the inductance but not the
resistance of the generator.
We measured the resistances and inductances directly. We had the
instruments.
Union bottle generator: 7.9 Ohms, 5.45 mH (up to 6.2 mH)
Soubitez bottom bracket generator: 3.8 Ohms, 6.76 mH (down to 4.9 mH)
Inductance measurements were done using an impedance bridge. They
varied with angular position of the generator shaft... whether the
generator was in one of it's "notches" or held in a different position.
Ultimately, we decided it didn't matter much which value we used; we
were measuring just to calculate a roughly appropriate capacitor size,
and if it was off 30%, it didn't matter much for our purposes.
Quoted message said:I should also have asked for the open circuit
voltage and the DC resistance of the generator to get a better handle on the
model.
Well, I think I've got those open circuit voltages somewhere...
Quoted message said:Also I have been assuming the capacitor is in parallel with the load
resistance. Is it?
Nope. In series.
Quoted message said:
Out of curiosity - why 12 ohms?
Briefly, a standard 3 Watt generator bulb (assuming only headlight, no
taillight) is 12 Ohms. A 2.4 Watt bulb used with a 0.6 Watt taillight
in parallel has a combined R of 12 Ohms.
Bike generators are, roughly speaking, constant current devices. Open
circuit, their output current is zero, and their output voltage is
roughly proportional to their rpm (up to a certain limit).
When given a resistive load, they will do their darndest to put out
their rated current. Most bike generators are designed to produce 0.5
Amp. But their rating is invariably stated as 6 Volt, 3 Watt. That
rating depends on having a 12 Ohm resistance in the load.
It's interesting that you can get more power out of a generator by
giving it more resistance. For example, seeing a 24 Ohms load, the
generator will try its darndest to put out 0.5 Amp. To do that, it
will generate 12 volts, and produce 6 watts. Same generator, twice the
power. (This only works if the speed is high enough.)
Problem is, most generators won't succeed at that job, because their
drive wheels need about twice the torque as usual. They'll slip. One
reason I like the Soubitez bottom bracket generator is that it can pull
this off without slipping. So, of course, can the hub generators like
the SON (or Schmidt). Bottle generators usually can't do it.
Quoted message said:
As for fluctuations in torque due to the capacitor- there shouldn't be any
other than double frequency components which would have an average of 0.
Fluctuations of this nature will also be present without the capacitor. As
for demagnetisation, that is unlikely as the generator probably can handle
heavier loads and also a more leading pf will reduce demagnetisation.
The fluctuations we saw weren't at anything like double the frequency.
They had a period measured in (by memory) a second or so - i.e.
frequency of 1 Hz or less.
To make this clear: We measured reaction torque by having the
generator mounted in a sort of gimbal arrangement, with a long torque
arm pressing on a digital scale. (We used a balloon between the arm
and scale to absorb vibrations.) Anyway, the measuring system worked
well in "normal" mode, but when we used it with the capacitor in the
circuit, scale readings (i.e. torque readings) varied quite a bit.
Again, as with the inductance, we were just checking to see if adding
capacitance was possibly worthwhile. Even without precise results, we
learned enough to say capacitance was not worthwhile.
- Frank Krygowski