TSSP: List Archives

From: Paul
Date: Mon, 25 Dec 2000 13:29:54 +0000
Subject: [TSSP] Capacitance between primary and secondary

Terry Fritz  wrote (on tesla list):

> I retook the physical measurements of my coil and measured the
> capacitance from primary to secondary.
> 
> I have the center of the primary plane 16.875 inches off the floor.
> The inner primary radius is 5.95 inches.
> There outer radius is 13.38 inches.
> The primary tubing diameter is 0.252 inches.
> There are 19.563 primary turns.
> The secondary is still 10.25 x 30.0 inches.
> There are 1000.5 turns
> The secondary wire is 0.0201 inches in diameter.
> The split 6 leg foil ground plane is on the floor but it is not connected
> to anything.
> The primary and secondary are floating.
> My primary and secondary spiral (out and up) in the same direction.
> 
> Pictures at:
> http://hot-streamer.com/TeslaCoils/Temp/acmi1.jpg
> http://hot-streamer.com/TeslaCoils/Temp/acmi2.jpg
> 
> The primary to secondary capacitance measures:
> 
> Height (inches) Capacitance (pF)
> 0                       42.2
> 1                       36.4
> 2                       33.7
> 3                       29.4
> 4                       27.6
> 5                       25.8
> 6                       23.6
> 7                       22.6
> 8                       21.8
> 9                       21.1
> 10                      19.8
> 11                      19.4
> 12                      19.0
> 13                      18.5
> 14                      18.0
> 15                      17.6

Terry, I fed your dimensions into the new capacitance matrix 
generator, for the height 0 and height 15 cases.

For height 0 I get the direct physical cap matrix elements:

     primary to groundplane: 24.0 pF
       primary to secondary: 26.7 pF
   secondary to groundplane: 22.5 pF  all +/- 3%

so the measurement between primary and groundplane will read
the total capacitance as given by

    26.7 | ( 22.5 # 24.0) = 26.7 | 11.6 = 38.3pF

where | means 'in parallel with' and # means 'in series with'.
I guess your presence in the field will have added a little more 
parasitic capacitance to bring the reading up to the measured value.

The corresponding predictions for the 15" position are

     primary to groundplane: 27.1 pF
       primary to secondary:  5.9 pF
   secondary to groundplane: 28.2 pF  all +/- 3%

which gives a measurement of

  5.9 | (27.1 # 28.2) = 19.7 pF,

a little high of your 17.6 reading - not sure why.

These capacitances are significant sizes and will have to be taken
into account in the tssp simulator when primary coupling is
introduced, although for acmi I should think they can be safely
ignored.

You might like to know that the new cap program generated the full
distributed capacitance matrix for these two coil positions in a
little under 15 minutes - quite an improvement in performance,
which brings the prospect of being able to model a large number of
coils that much closer.

Cheers,
--
Paul Nicholson,
Manchester, UK.
--


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