RE: Mathematics of Tesla coils (was Re: Design tool: TC-plan V 1.0)

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

Original poster: "Loudner, Godfrey by way of Terry Fritz <twftesla-at-uswest-dot-net>" <gloudner-at-SINTE.EDU>

Hi Marco

A great deal is known, but I would like to see someone set up the Maxwell
field equations for a Tesla coil and solve the resulting boundary value
problems. Then from the solutions, derive formulas for all the important
parameters. When I made an attempt, I ran into seemingly impossible problems
in the theory of elliptic function which I could not solve. Because I am a
life long student of elliptic modular functions, I was embarrassed. Maybe
this has already been done, and I have not seen it in the literature. In
fact I have no access to any research literature. 

Godfrey Loudner

 
> -----Original Message-----
> From:	Tesla list [SMTP:tesla-at-pupman-dot-com]
> Sent:	Friday, April 20, 2001 9:14 AM
> To:	tesla-at-pupman-dot-com
> Subject:	Mathematics of Tesla coils (was Re: Design tool: TC-plan V
> 1.0)
> 
> Original poster: "Marco Denicolai by way of Terry Fritz
> <twftesla-at-uswest-dot-net>" <marco.denicolai-at-tellabs-dot-com>
> 
> 
> 
> Tesla list wrote:
> > 
> > Original poster: "Loudner, Godfrey by way of Terry Fritz
> <twftesla-at-uswest-dot-net>" <gloudner-at-SINTE.EDU>
> > 
> (SNIP)
> > I think that the mathematics of Tesla coils is a mystery
> > needing explication. Somehow Tesla coilers will have to workout the
> details
> > themselves. The great mathematical physicists of the world will not work
> on
> > these problems. Thinking about the mathematical nature of Tesla coils
> will
> > not lead to tenure at a university, or will research grants be awarded
> to
> > support such work.
> 
> The mathematics of a Tesla coil are well known starting from 1904,
> through all the last century, with some clarifications about optimizing
> the working point done only during the last decades. Those equations are
> rock solid still today.
> 
> The TSSP group has recently reached a level of precision in simulating
> the secondary coil that can hardly be improved (IMHO).
> 
> The influence of some tenths of practical factors (mostly losses and
> excitation type) to the streamer formation, length and shape are the
> real today's mistery. And this has been (and is being) researched by the
> scientific community: they simply aren't using Tesla coils for their
> researches.
> 
> Comments anybody?
> 
> Regards
> 
> 
> -- 
> _____________________________________________________________
> 
>  Marco Denicolai           Senior Design Engineer 
>  Tellabs Oy                tel: +358 9 4131 2769
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>