Re: Maximum voltage gain in a Tesla coil

["Tesla list" <tesla-at-pupman-dot-com>]

Original poster: Greg Leyh <lod-at-pacbell-dot-net> 

Interesting work!
In your last example at the bottom, are you placing a lower limit on 
efficiency for the optimizations?


>Original poster: "Antonio Carlos M. de Queiroz" <acmq-at-compuland-dot-com.br>
>Hi:
>
>Is Marco Denicolai still in the list? He would find this interesting.
>
>After a discussion with Jim Lux, I wrote an "optimizer" program for
>the lumped model of a Tesla coil during the energy transfer transient:
>
>     +--R1--+        +--R2--+
>  +  |      |        |      |   +
>Vc1 C1     L1 <-k-> L2     C2 Vc2
>  -  |      |        |      |   -
>     +--<---+        +-->---+
>       Il1             Il2
>
>The program calculates exact solutions for the transient that starts
>with an initial Vc1, and tries then to optimize the circuit following
>several criteria.

>[snip]

>The program can also optimize the circuit in the presence of losses,
>represented by R1 and R2, finding solutions with maximum voltage
>gain, maximum efficiency, and complete energy transfer.
>It was interesting to see that solutions with complete energy
>transfer (at some point all the remaining energy is in C2) are
>possible in the lossy case. The differences between the optimized
>circuit and the lossless circuit are negligible, however.
>Example:
>C1=4.5 nF
>L1=1 mH
>L2=30 mH
>C2=15 pF
>k=0.18033
>The voltage gain is 5.477.
>Adding 20 Ohms as R1: A=4.5766.
>Optimizing for maximum voltage gain, changing k and L1:
>k=0.18018, L1=1.0165 mH. The result is A=4.5813.
>The solution with complete energy transfer is inferior:
>k=0.1671, L1=0.988 mH, A=4.5367.
>
>Antonio Carlos M. de Queiroz