Re: [TCML] Magnifier topics

[Paul Nicholson <tcml88@xxxxxxxxxxx>]

This morning I had a bash at modelling David's flux-concentrating primary.

Using acmi to calculate the mutual inductance network with the
drive ring represented by 20 concentric filaments, a spice network
is generated which is used to determine the current distribution
across the ring and the induced voltage gradient on L2.

This model doesn't take into account distributed capacitances.
Nor does it realistically model losses.

D = Primary separation from plate, cm;
L = Combined primary inductance, uH;

   D       L
  2.54     84
  5.08     78
  7.62     74
 10.16     71

With drive ring removed,

  D        L
  2.54    102
  5.08     89
  7.62     81
 10.16     76

Inductance of each primary: 31.3uH

The following graph shows the secondary voltage gradient induced
by one volt across the series primary, for four separations of
primary to flux concentrating ring, plus an additional plot
with the ring removed so that the secondary is just driven
by the two primary coils 5.08cm apart.

 http://abelian.org/tssp/tmp/ds100225sk.png

The base of the secondary was set level with the ring.

Here is a graph showing the current distribution across the
flux concentrator for four primary separations,

 http://abelian.org/tssp/tmp/ds100225id.png

Current in the positive direction is flowing the same direction
as in the primary coils.  As you can see, the current in the inner
4cm of drive ring is reinforcing that of the primary.   It is also
very large!

I've no idea whether these calculations are correct - nothing
to check them against, but they seem qualitatively reasonable.

--
Paul Nicholson
--
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