TSSP: List Archives

From: Bert Hickman
Date: Fri, 01 Mar 2002 07:41:09 -0600
Subject: Re: [TSSP] Ion Cloud Loading

Paul wrote:
> 
> Greg wrote:
> > I suspect that it's the additional capacitance of the streamer
> > channels themselves which are actually responsible for any
> > measured tuning shifts.
> 
> And I'm guessing that Bert would concur.  The streamer channels,
> rather than a cloud of ionised gas molecules, would be the
> major source of an 'upheld' charge.

Yes. The top terminal is connected to what could (grossly) be called a
lossy capacitance. The hot, arc-like, leader can be modeled (as a first
approximation) as a resistive stick projecting outward, possessing its
own additional incremental inductance and capacitance. A fine spray of
much poorer conducting streamers fans outwards from the tip of the
leader, serving to transfer charges to or from a larger region outwards
from the leader tip once localized E-Fields become strong enough to
initiate electrical breakdown at the leader tip. These are the little
discharges that last only for nanoseconds or tens of nanoseconds. As
breakdowns occur in the streamer region, charge then transfers into/out
of the surrounding "space charge" region. The change in distribution of
charge immediately after a discharge has the effect of reducing the
E-field stress that initiated it, choking off (temporarily at least),
further charge transfers to that particular region. However, similar
breakdowns/charge transfers occur to other nearby regions if the
potential at the leader tip can be sufficiently maintained (i.e.,
terminal voltage maintained or increasing and leader channel kept hot
via Joule heating). 

The overall displacement current at the root of the leader is the sum of
the individual dq/dt's coming from countless short-lived streamers as
they very quickly dissipate major differences in charge between the
leader tip and the surrounding region. Additional displacement current
are also driven by terminal voltage changes charging/discharging the
leader's isotropic capacitance. In Greg's coil we can see excellent
evidence of VHF oscillations as the top turns on the resonator and
topload/leader capacitance was shock excited by current spikes during
leader propagation. On a very gross time scale (1/Fo), the
leader-streamer system should sort of "look" like a lossy capacitor,
with much energy being lost in initiating and maintaining the conduction
processes that allow us to inject/remove charge from regions remote to
the top terminal. Unlike a normal capacitor, this model relies upon
dielectric breakdown to function properly...    
  
> 
> Oh, and while we're putting kV of DC into the coil base, would
> this give a nice and accurate method for estimating the total Cdc
> of the secondary?  Charge to a few kV, disconnect the Bertan, and
> then time the voltage decay as it leaks back to ground via a
> known shunt resistance?

Sounds like a good idea!

> --
> Paul Nicholson,
> --

-- 
Bert Hickman
Stoneridge Engineering
Email:    bert.hickman@aquila.net
Web Site: http://www.teslamania.com


Maintainer Paul Nicholson, paul@abelian.demon.co.uk.