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Re: [TCML] output voltage for Tesla transformer
nnanred1@xxxxxxxxxxx wrote:
hi,
antonio has contributed his answer to this problem by concluding that the formula cited in Greater voltage gain for Tesla transformer accelerators by J. L. Reed is only good for a coupling of 0.6.
this is a wrong.
It's not wrong. The paper clearly states that all the analysis assumes
the ratio of the two resonance frequencies of the system, w2/w1, as 2.
This ratio is obtained in a conventional coil with k=0.6. There is
another paper, by B. T. Phung and others, that generalizes the same idea
for other ratios. The equations an curves can also be found in a paper
by M. Denicolai: http://www.elisanet.fi/dncmrc/rsiarticle.pdf
With smaller ratios of the two frequencies, the increase in the gain
above sqrt(L2/L1) decreases quite quickly.
following wrong conclusions just leads people into more confusion and poor results.
if one uses a search engine to find the above RSI paper it will be found that the expression is totally general. one will find k in the expression, the coupling coefficient, it can take on any value between zero and one. even the dreaded 0.1
No. k is calculated as a consequence of the maximum output voltage. For
each ratio of resonance frequencies there is a single optimum value.
the expression is the governing equation for the output voltage of the Tesla transformer. the paper continues on and finds a new setting to obtain an 18% increase in voltage gain. it really is a piece of original analytical work. the tuning method is also original that is why it is published in RSI.
By the way, it's possible to obtain more than 18% if the restriction
w2/w1=2 is relaxed. But in that case the author wanted to keep the same
output waveform. The application was in precise high-voltage pulse
generation, and not in spark generation, where high coupling
coefficients are never used.
Antonio Carlos M. de Queiroz
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