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Lumped vs. T-line - You be the judge...
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To: tesla-at-pupman-dot-com
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Subject: Lumped vs. T-line - You be the judge...
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From: Terry Fritz <twftesla-at-uswest-dot-net>
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Date: Sun, 16 Apr 2000 22:16:00 -0600
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Approved: twftesla-at-uswest-dot-net
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Delivered-To: fixup-tesla-at-pupman-dot-com-at-fixme
Hi All,
I did Bob's experiment! It seemed to work very well.
1. I made a ground plane out of foil and split it so as not to cause a
shorted loop.
2. I used a 100 ohm resistor is series with a 10 ohm resistor as an
isolator. The 1 ohm resistor gave too small and noisy of a signal for
practical purposes but I think it gives just the same results as the 10 ohm
which gives good signals. This is a great idea! It totally eliminates
generator loading while providing a very low impedance drive signal.
3. I just brought the generator (<1 ohm out Z) right up to the coil base
since it is small and used very short wires so all the feed coax problems
are eliminated. I grounded everything at the coil base.
4. I did have to hook the 16.6pF/10Meg scope probe to the output of the
coil but I think I have justified that.
5. If I model my secondary as a transmission line. MicroSim says that it
has an intrinsic impedance of 31000 ohms. It seems to work out so I guess
the program just knows...
Ok. So I think I did everything right ;-)
I made a MicroSim model of the whole thing using both lumped and T-line
models to compare the output waveforms. I took the input stuff and the
scope probe loading and all that into account. I also took the scope's
60MHz bandwidth into account which did make a little difference. The drive
signal was a 1kHz square wave. My generator has a 30nS rise time which is
also in the models. The MicroSim models are pictured below:
http://users.better-dot-org/tfritz/site/misc/Bob03.gif
The resulting output are here:
http://users.better-dot-org/tfritz/site/misc/Bob04.gif
With a square wave step function, The lumped model gives a nice sine
response. The T-line model gives a 725nS delay and then a distorted sine
response with lots of little jerks from the reflections and stuff.
So there is a big and easy to measure difference between the two. the
results should be "definite" Ha ha ha
And here is the actual scope waveform:
http://users.better-dot-org/tfritz/site/misc/Bob05.gif
Here is a sharper data pull to Excel:
http://users.better-dot-org/tfritz/site/misc/Bob06.gif
No doubt about it, the waveform is distorted much like the T-line model
would predict but far from exact. Hardly a clean sine wave. However,
there is definitely a rise in the wave before the 720nS a T-line model
would predict which the lumped model does predict.
So we see the fast output rise of the lumped model but distortions similar
to the T-line model... So the fast rise is definte proof of the lumped
model and the distortions are proof of the T-line model...
I guess this should make everybody happy... or nuts!! ;-))
Cheers,
Terry