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Re: How to rise the secondary? (fwd)





---------- Forwarded message ----------
Date: Wed, 15 Jul 1998 11:06:59 -0700
From: Jim Lux <James.P.Lux-at-jpl.nasa.gov>
To: Tesla List <tesla-at-pupman-dot-com>
Subject: Re: How to rise the secondary? (fwd)

Tesla List wrote:
> 

> 
> A very interesting post and idea!!!!  My models don't do this type of load
> effect but they probably should!  I hope it can be modeled as a lumped
> parameter :-))
> 
>         Terry Fritz

I suspect that you can model it as a time varying C to ground. The
length of the wire relative to a wavelength is very short, so it should
look lumped.

The C is almost entirely a function of the length (the ln term in the
denominator doesn't change very fast), so you could model a time varying
C that gradually increases linearly over the streamer life, as the power
flows into it.

Now that you are getting into modelling the streamers and sparks, you
really should blow the $100 and get a copy of Bazelyan and Raizer. They
have got a lot of really good info on long spark propagation with the
equations and the derivations and references to earlier works, some of
which aren't particulary accurate.  Another work you might be interested
in (although it is out of print, you can get it from interlibrary loan,
easily) is Cobine's work on "Gaseous Conductors". Uman, "Lightning", has
some stuff on arcs and sparks, but it is mostly aimed at lightning,
which has 100 kJ/meter energies, a little more than most TC's, although
his discussion of leader formation and branching is probably relevant,
although at smaller scales for a TC.  B & R, though, would be your best
bet.