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Re: Double Tesla coil (was Chaotic Resonance)



Original poster: "Antonio Carlos M. de Queiroz by way of Terry Fritz <twftesla-at-uswest-dot-net>" <acmq-at-compuland-dot-com.br>

Tesla list wrote:
> 
> Original poster: <elgersmad-at-fnworld-dot-com>
> 
> There are two tank circuits involved, and the first is tuned to half of
> the frequency of the second.  The reason that I had chosen that method
> was due to the fact that attempting to tune to tank circuits to the
> same frequency always lead to a condition where the phase of one tank
> wouldn't exactly match the phase of the second... 
> 
> James.

I don't have anymore the link to the site that has the circuit, but
what I remember was much like this (or should be):

   gap   k12             k23
+--o o--+   +-----+-----+   +------+   
|       |   |     |     |   |      |
C1      L1  L2    C2    L2  L3     C3
|       |   |     |     |   |      |
+-------+   +-----+-----+   +------+

(Use a fixed-width font to see the ascii art)
This is a kind of Tesla coil with two transformers in cascade, with 
associated capacitances, everything powered by the initial voltage in
C1.
The "chaotic" waveforms are just the sum of three sinusoids at different
frequencies, with some damping if losses are included. (Linear circuits
can't exhibit chaotic behavior.)
This circuit can be easily derived from a Tesla magnifier (or better,
a triple resonance network) by circuit transformations, and exactly 
designed. Try for example the values:
C1= 10 nF
L1= 30 uH
C2= 5.55 nF
L2= 100 uH
C3= 10 pF
L3= 30 mH
k12=k23= 0.383
The initial energy in C1 goes entirely to C3 after 2.5 cycles,
producing a voltage gain of 31.6. If not used, it returns entirely
to C1 in another 2.5 cycles. The maximum voltage gain, as
in all these circuits, is sqrt(C1/C3), due to energy conservation.
Reference:
http://www.coe.ufrj.br/~acmq/tesla/magnifier.html

Antonio Carlos M. de Queiroz