I got an idea of placing two coils almost touching the aluminium
rim and
wiring them somehow obscurely with capacitors (how people do in wind
power plants with squirrel cage motors nobly relabeled as "self
excited
induction generators") so they would prime themselves and start
generating. If it works with cyclic asynchronous motor it should work
with a linear one too, shouldn't?
In what way is it self-priming? Given a large enough, flat plate
dynamo, I'm sure one could exploit the Earth's natural magnetic field.
But, a small dynamo the size of which is suitable for a bike would
never have sufficient surface area for electrical generation, no
matter how fast it's made to spin.
Remember that energy is neither created nor destroyed -- if it's
self-generating, it has to draw energy from somewhere. Traditional
alternators draw this energy from shaft rotation. Where is the
self-excited generator drawing its energy from?