VTTC FAQ (Draft)

Updated 3/6/04

This FAQ is currently under construction. The material within
may not be complete or correct at the moment.

1)What is a vacuum tube?

We can think of a Vacuum Tube (Valve, VT) as an electrical valve in which
current flows in one direction only.  Every tube has at least 2 parts to
it.  The Anode (more +) or 'plate' and the Cathode (more - ).  Most
tubes have a heated cathode.  Heating is often done by use of a
filament.  In most tubes, the filament IS the cathode, they are the same
exact piece of metal inside of the tube.  The cathode can also be
indirectly heated as in some larger tubes (not very common) where the cathode
and filament are 2 isolated parts within the tube.  You may have also heard
of 'cold cathode' tubes.  Cold cathodes are often used for lighting (neon
lights) and not of concern to those wanting to learn about VTTC's.

Now back to our description of an 'electrical valve'.  A valve passes
currents in one direction only.  In a vacuum tube we pass electrons from
the cathode to the anode.  A heated cathode emits electrons readily, and
the anode accepts them.  A tube with only an Anode and Cathode is known as
a Rectifier, something that passes current in only one direction.  Tube
rectifiers are usually good for high voltages (300v+) and lower currents than we
may find in common silicon rectifiers or diodes.  Now, there is one crucial
part to our valve that we could add, and that is some sort of control.
Enter the Grid.

Imagine turning on your garden hose by turning the valve to slowly control
the flow of water through it, this is exactly what the Grid of a vacuum tube
does.  The Grid is a mesh of wire that sits in between the cathode and
anode of the tube.  We control the electrical flow inside the tube by
altering the electrical charge on the grid.  If the grid is strongly
negative (as in same potential of the cathode) then we have very little or no
electrical flow since the like charges repel!  So right now our tube is in
a non-conductive state.  But, if we change the potential on the grid to a
more positive voltage, we start to increase the current flow from cathode to
anode within the tube!  A tube with an anode, cathode and grid is known as
a Triode.  Some triodes can have up to +600v on their grids and up to 5000V
on their plates!  The 833A triode is a good example.

There are many other types of tubes out there.  The Tetrode has 4
elements, same as the triode but with an extra control element known as the
Screen.  Usually the screen is set at a + voltage (known as biasing) and
will alter the operating characteristics of the vacuum tube.  Many more
screens and control grids can be added inside of the vacuum tube to get Pentodes
etc.  For a beginner, I suggest sticking with the basic triode as there are
no screens to bias (which could get rather tricky).

Now that we have a basic understanding of a vacuum tube, we can approach a
VTTC with intelligence.

2) A general idea of what is going
on

Lets take a brief look at how a VTTC works so that we have a general idea to
keep in mind while we get into the nitty gritty later on.  Basically with a
VTTC, we are using a vacuum tube to act as a switch.  The tube is in series
with the current flow.  We can follow it through easily.  Starting at
the top of the schematic we have our HV (T1) supply that then must pass through
the LC tuned tank circuit (C1 and L1) and then through the tube (VT) to ground
(which is also the return of our HV supply)  Now, we must switch the tube
on and off at a specific rate, that being the Fres of our secondary (L3).
Of course, we will never be at the exact Fres of the secondary coil, but we must
strive to get very close. When the coil starts up, a small amount of
current flows through the tank (C1, L1)  and through the tube. This excites
the secondary coil (L3) and the grid coil (L2). The grid coil (L2) then sends a
pulse to the grid of the tube.  This turns the tube on and off at just the
right times to keep the cycling going, and this is how the oscillator works.

3) Tank Circuit- What is continuous
wave?

If you understand how to tune a typical spark gap TC then you really don't
have much else to learn!  If you are new to all of this then I suggest you
read THIS site
first.

A VTTC uses an LC tuned circuit (C1 and L1) just like a spark gap tesla
coil.  It may look different at first glance but really is similar. Lets
look at the similarities and differences.  In a spark gap tesla coil (SGTC)
we have a capacitor in series with the tesla primary, but if we stop and think
about what the spark gap does, we see that, when the spark gap is conducting,
the capacitor is in fact in parallel with the primary inductor.  Looking at
a VTTC schematic, we see that the capacitor is already hard wired in parallel,
and then the whole mess is switched to ground via the vacuum tube.  Now
that we see that a SGTC and VTTC both use LC tuned circuits we can begin to
analyze the differences between the 2 circuits: the manner in which power is
switched.

In a SGTC we use the tank cap for 2 reasons, 1 to form an LC tuned circuit
and 2, to supply high current pulses to the primary coil.  In a VTTC we
have a much different story.  There are no hundreds or thousands of amps
jumping around, but just a rather high average current.  With a SGTC we
simply dump a bunch of power into the coil in one decaying pulse.  With a
VTTC, we drive the resonator in a different manner known as Continuous Wave
(CW).  The circuit pushes power into the resonator at EVERY cycle, meaning
if you have a 400khz coil, the primary is transferring an equal amount of energy
to the secondary 400,000 times a second!  This is also assuming a filtered
DC power supply (more on that later)

(insert picture of a damped wave from a SGTC and a continuous wave from a
VTTC to show how mean power is the same but that the SGTC has its power
distributed differently)

4) Grid Feedback- How does it work?
(revised)

The most complex parts of the VTTC circuit are the grid feedback and grid
leak system.  It is what makes everything work together to oscillate.
I hope to be in depth enough to give the reader a clear understanding but not to
swamp him with complicated theory.

The VTTC schematic that is most commonly used is a tuned plate Class-C
oscillator (in my case, a Series Fed Armstrong oscillator).  You may have
also seen Hartley oscillators mentioned elsewhere and are similar in operation
to the circuit I use.

Here is how it all starts.  Voltage is applied to the plate, thus
pulling electrons from the cathode.  The tube conducts, and as it does, the
tank circuit is pinged.  The primary drives the secondary, but also couples
some energy into the grid feedback coil.  This coil sends a strong negative
pulse to the grid, turning the tube off.  When this happens, the negative
charge is stored in the capacitor of the grid leak circuit.  This negative
bias holds the tube off for the rest of the RF cycle.  Eventually, the
resistor bleeds off the extra charge, and the tube is allowed to conduct again
(when the tank begins to reverse its oscillation cycle).  This oscillation
generates a strong negative bias.  This happens at a rate of perhaps
350kc/s or whatever the tank is tuned to.  This type of operation is known
as Class C, and is highly efficient.  The tube is actually only ON for
perhaps 20% of each cycle!!!

(insert graphic showing tube conduction VS grid charge VS TC output)

Now, that this is fresh in the mind, I will discuss what the effects of
larger or smaller resistance (R1) are in the grid leak system assuming a leak
capacitor (C2) of 2nf (a typical value).  With a very low resistance (of
maybe 1k ohms or less) the tube conducts heavily and runs smoothly, here is
why.  When the tube is conducting heavily, the grid leak resistor is
bleeding off the negative charge its picking up rather quickly, meaning, it
takes longer for the emitted electrons to drive the tube back off.  So this
means that the tube is on for a longer percentage of each cycle, maybe up to 30%
or so.  Since the tube is conducting for a longer period of time, you can
easily see why the coil is using more power!  You can also see why the tube
will run hotter with a lower resistor value.

What about a high resistance in the grid leak system?  Well, the exact
opposite happens.  The negative electrons build (on C2) much faster and cut
the tube off much faster.  Conduction time may be only 15% or so (for
typical VTTC operation).  Less power is being processed and the tubes run
cooler but the spark length often also suffers.

5) Power supply- AC, Level Shifted, Smoothed
DC

If you have looked over other VTTC schematics you may have noticed that
people use various methods of supplying the plate supply voltage.  The most
common is using a MOT (microwave oven transformer).  The common MOT can
produce ~2kvac at some 500ma or so, sometimes even nearing 1A output under some
conditions (not recommended!).  The MOT itself without any changes being
made to it can supply your VTTC just fine.  Since the tube only operates in
one direction, the tube will simply be ON for the + portion of the AC cycle, and
OFF for the negative portion, but still having a maximum of 2kv or so across the
tube.  This is what the schematic at the top of the page displays.
This is fine, but, many large tubes can likely take up to 2X the MOT output
voltage. If we can, we would like to utilize the tubes voltage
capabilities.

Higher voltage is good for a few reasons:  same power at lower current
levels, can use a smaller tank capacitor value (to maintain a higher tank Z),
and higher voltages seem to be more efficient overall at producing the best
sparks from the TC itself.  You could find a large plate transformer rated
at several  kV, or even use a small potential transformer or pole
pig!  These would likely be reserved for very large tube coils.

There is an easy solution to getting higher voltages from our MOT though: the
level shifter

This is the same circuit that the microwave oven uses, but we
reverse the diode to give a + voltage output rather than the negative voltage
that the magnetron uses in the microwave oven.  The level shifter will
typically give 2X the peak voltage of the transformer.  So for a 2kvac MOT
we see: 2000*1.41*2=5640V!!! Ah, but wait, we have a rather hefty load on the
output!  Typically, under a moderate VTTC load, we can expect perhaps
4-5kvDC pulses from our level shifter supply at most.  This is probably the
next most common, and my preferred method of supplying the plate.

The final method is filtered or smoothed DC (and really, smoothed DC is the
only condition where a VTTC IS CW!!  Since with the 2 previous methods, the
coil is actually off for at least half of the time (the negative portions of the
AC input) But lets not have that confuse you).  This would involve the use
of a full wave rectifier and a large amount of filtering capacitance (several
10s of uF).  This is probably the least favored by coilers looking for long
sparks.  The continuous power means LOTS of heating thus limiting the coil
to a lower output.  The best use for filtered DC would be if you wanted to
audio modulate the coil, in which case, you don't want a loud 60hz buzzing in
the background.  Filtered DC will produce short, but extremely hot flame
like sparks that just hiss.  I have yet to run any of my VTTCs on filtered
DC, though it is similar to running a SSTC with filtered DC (which I have
done).

6) Impedance matching

Another very difficult concept that is helpful for understanding VTTCs.
First, the brief explanation for impedance matching that finally sank in for
me:

"A simple example of impedance

Assume you have available these 4 items on your bench:

(a) A series of eight fresh AA type 1.5 volt cells to create a total of 12
volts supply.
(b) A 12 volt heavy duty automotive battery - fully charged.

(c) a small 12v bulb (globe) of very, very low wattage. and;

(d) a very high wattage automotive high-beam headlight.

Now if we connect the extremely low wattage bulb to the series string of AA
cells we would expect all to work well. Similarly if we connect the high
wattage, high-beam headlight to the heavy duty automotive battery all will be
well. Well for a time anyway. Both of these sets are "sort" of matched together.
Light duty to light duty and heavy duty to heavy duty.

Now what do you think would happen if we connect the high beam headlight to
the series AA cells and conversely the low wattage bulb to the automotive
battery?.

In the first case we could imagine the high beam headlight would quickly
trash our little tiny AA cells. In the second case our min-wattage bulb would
glow quite happily at its rated wattage for quite a long time. Why?, therein
lies my explanation of impedance. Consider it!

The heavy duty battery is capable of delivering relatively large amounts
of power but the series string is capable of delivering only relatively
minimal power. The first is a low impedance source and the
other, in comparison is a relatively high impedance source.

On the other hand the high beam headlight is capable of consuming relatively
large amounts of power but the miniature bulb is capable of consuming
only minimal amounts of power. "

Text taken from: http://www.electronics-tutorials.com/

Now, the difficult part!  There are several impedance matches to be
considered with VTTC design.

First is obvious: the match between the plate supply (T1) and the tank of the
TC (C1, L1).  This match is the easiest to envision.  The impedance of
the tank (or the Z load as it may be termed) should ideally be higher than the
impedance of our supply. Meaning that, the supply has headroom in respect to
powering the TC.  See my VTTC Math page for equations to help determine the
Z load of a VTTC (which often takes some guess work unless you have some great
equipment on hand!).

Next is the impedance match between the primary and secondary circuits.
I unfortunately am not the best person to explain this, and will admit to not
having a very good understanding myself.  I can still generalize cant
I?  The impedance of the tank (primary circuit) has been determined from
the previous paragraph.  Now, in order to optimize things, we would like to
have it that, all of the energy that the primary can supply, will get used up by
the secondary coil in the form of long sparks.  Now, the secondary Z is
made up of 3 components, its wire resistance, its inductance, and its self
capacitance.  The primary of course determined by its resistance (almost
nothing, so not even considered), inductance and of course capacitance.
With VTTCs, this match is almost always poor, and well, there is not much we can
really do about it since tubes have a limited amount of current they can process
etc..  Truthfully, if one is to care so much about this topic, he/she will
find the means to research it.  My goal was to bring some light onto it and
perhaps get people thinking.

There is even such ways to match your top load with your secondary coil, but
this is quickly getting out of the scope of this FAQ.

7) Choosing a coil- How does Fres seem to effect
things

Just some general things I have noticed when using setups with various
frequencies and sizes.

1) When Fres drops below 300khz, the sword-like characteristics of the sparks
seem nearly non-achievable . In a recent test (using a SSTC as a driver) I tried
various coils that I had on hand.  My 350khz secondary from the dual 833A
VTTC produced very sword-like sparks as expected.  Next, I tried a 300khz
secondary, it produces a somewhat spoiled sword-like spark, but still desirable
for my needs.  I also tested this coil on my dual 833A VTTC, and got very
similar, somewhat spoiled sword sparks from the coil. Then, finally I tested a
190khz coil on the SSTC driver, and it produced gnarled sparks.  I did not
test this on the VTTC, but in an old experiment using a rather LF coil, I got
similar gnarled sparks.  This suggests to me that the spark appearance is
dependent on the resonant frequency of the secondary coil.  I have yet to
see a LF coil produce strong sword-like sparks.

2) It seems that smaller coils produce smaller sparks compared to larger
coils at the same power levels.  I think, as long as the coil is
appropriately sized for the power, things will work out well.  Of course,
we do not want a 3 foot tall coil that makes a 12" spark.  I would say a
good generalization for most secondary coils is:

8-10" tall for sparks up to 8"

10-12" tall for sparks up to 20"

12-18" tall for sparks up to 32"

20"+ tall for sparks greater than 32"

8) A real VTTC circuit- What's all that extra
stuff???

We already know what T1, T2, C1, C2, R1, L1, L2, L3 are, but there are
several other components added into this schematic that should be
discussed.

C3 and D1 make up the level shifter circuit already described in the section
about power supplies.

C4 is an RF bypass capacitor.  In RF circuits, capacitors usually pass
HF AC, and block DC.  In this case, we want to pass any RF that may be
there from tank oscillations so that they don't damage the power supply
(especially that diode!). The bypass cap is usually small (1-5nF or so at
10kv).  Ceramic disk caps work fine here.

R2 and L4 make up a high frequency choke.  In the event of a tube arc
(an arc actually within the vacuum tube due to excessive voltage between grid
and plate) there can be some strong high frequency (in the MHz) oscillations set
up.  This RL circuit kills these oscillations, protecting the tube (to an
extent) in this event.  Typically, R2 is between 20-100 ohms at a few watts
(usually does not heat up, but we want it physically large).  Then, L4 is
actually wound around R2 (that is why R2 must be about 1-2" in length).  L4
should have some 10-25 turns. Both components are non-critical, hence the rough
guidelines.

C5 is another bypass capacitor.  Since we cannot simply ground both legs
of our filament, we need to have this bypass cap that will act to pass any RF
through it (to the grounded leg).  This cap should be in the 1-10nF range
at a few hundred volts.

C6- optional, but I find that it always increases the performance of my
coils.  C6 is simply the top load or toroid.  I like to use small
toroids as not to load down the coil excessively.  Large toroids seems to
cause harsh kickback so I strongly discourage the use of large toroids.

9) What are some good tubes to use?

Some of my personal favorite tubes and why:

811A- it can be used for a decent amount of power output, runs good at MOT
voltages (2kv) and is dirt cheap   ($14 new).  Also see the 572B
which is very similar but with a graphite plate, and much more expensive.

810- Its got a tough graphite plate and if setup just right, will take some
4kv without much trouble.  The graphite plate allows it to run longer.

304TL/TH- A beefy tube rated for lots of current on the plate.  Good for
pulse work (staccato).  Its got a great look to it too.  Downfall,
they are old, and the filaments will crack from vibration alone!

833A/C/D- The 833A is just a great tube overall and can output up to about
1kw in class C.  The C and D versions have graphite plates that make them
extra tough for over 1kw.  They do come with a price tag though, usually
$90 new for an A, and a few $$ more for the C.

There are of course many other tubes that will work in VTTC use that I have
not mentioned... a few others:  4-250A, 4-125A, 813, 803, 3-500z, and well,
most other power tubes with at least a kV rating and some 10's of watts of plate
dissipation.  Small tubes can in fact be used for very small VTTCs that
operate into the MHz.

10) Part criteria- Tolerances, specific
characteristics

I will go over each part of the typical VTTC and explain what qualities each
should have for reliable use.

--- Plate supply- rated for the maximum ratings of the vacuum tube being
used.  Perhaps rated for higher voltage than the tube if you like to push
things like most people do.

--- Tank cap- I have used high quality doorknob capacitors (the common cheap
ones are no good usually at high power).  Mica of course being highly
recommended.  Also, for precise tuning, a variable air cap under oil, or a
variable vacuum cap would work great.

--- Primary coil- For powers under 500W, 14awg is good enough.
500W-2000W needs 12awg or better.  I don't know much about power levels
above that, but I assume you would eventually want to use copper tubing like
SGTCs do.  I find no difference in using solid or stranded wire, so I use
stranded.

--- Grid coil- I like to wind them using magnet wire of 24awg, but regular
hookup wire would work fine also.  Keep in mind that the spacing etc.. will
effect its properties, so having the grid coil on a slide able form is a nice so
that you can adjust its coupling to the primary coil.

--- Secondary coil- already discussed a bit.  For power less that 500W,
30awg should be acceptable.  500W-1000W would probably use 28awg or
better.  Up to 2kW, I suggest at least 26awg, maybe 24 is better.

--- Filament supply- usually AC.  Since the cathode is grounded, hi-pot
ratings are not required.  Try to keep the tolerance close on this.
Its somewhat less harmful to run just over the tubes rated voltage than just
below.  I run the 833As at 10.2v, they are rated for 10.0v

--- Grid leak capacitor- most low inductance capacitors will work.  3kv
is good for voltage.  Small ceramic disk caps work at lower powers.
Doorknobs will be nice for higher powers >1kW.

--- Grid leak resistor- value depends on the tube somewhat, but I would say
that 100W is a good starting point for smaller VTTCs.  Variable resistors
are very nice to have.  I use a 150W resistor bank on the dual 833A coil
and it gets very hot at some 2kW.

--- RF bypass on the plate supply- needs to be rated for 2X the voltage of
the supply.  You can get by with ceramic disk, but doorknobs are likely
better for higher powers.  1-3nf is enough capacitance.

--- RF bypass on the filament- 1-10nf usually at a few hundred volts.
Most high quality caps will work fine, even ceramic disk seem ok.  Poly
film caps would be excellent.

11) Staccato- how does this benefit me?

The staccato controller (developed by Dave Sharp, John Freau...) is a very
nifty way of reducing power draw but maintaining spark length from a tube coil.
Staccato can only be applied to AC fed or level shifter supplied coils since it
depends on the fact that the tube is only ON in pulses.  Keep in mind that,
these pulses (the + portion of the AC input) are all equal.  Also, since
there is a considerable amount of OFF time between the pulses, spark growth is
not much of a concern.  So what the staccato does is, turns the coil ON for
a pulse, then leaves if OFF for an independent (controllable) number of
proceeding pulses.  In this manner, we can range the output from a mere 1
pps (pulse per second) to 60 pps.  So, the average power can be reduced
dramatically, but the actual spark (generated from a single pulse) is the
same.

Perhaps the best benefit is the reduced heating of components allowing
everything to run longer.  We also gain a very interesting visual and
audible characteristic.  The coil can sound like a helicopter at some pps
settings.  At 30 pps, the coil roars a deep bass tone at high power that is
very nice sounding.  The visual effects are just as interesting.  You
can see the detail in a single spark at the lower pps settings, or get a bush of
sparks at higher pps settings.

12) Other modes of VTTC operation- sputter mode, tuned
grid

There are 2 other driving methods for VTTCs that I know of.

Sputter mode-  This mode of operation is similar to staccato in that the
spark is interrupted but in a different way.  Sputter mode is achieved by
using insanely large values for the grid leak system to get a grid blocking
effect.  What happens is, the grid pulls current on an oscillation.
Since the capacitor and resistor are of large values, it holds the tube off for
longer than it might normally.  My first VTTC was a sputter mode type and
used a .03uf and 50k ohm resistance for the grid leak values.  This caused
the coil to produce a spark about 12,000 times a second!  It was awful
sounding though as it screeched away.  The sparks were thin and
purple.  Interesting indeed, but not as nice as a normal VTTC.  When
using sputter mode, its usually best to supply the coil with filtered DC so that
you get a consistent output.  There is a big drawback to sputter mode
operation.  The chance is high that the grid is allowed to turn back on at
a bad time and cause kickback, and perhaps a tube arc.  This site uses a sputter
mode design.

Tuned grid- an interesting design that I have only seen employed once, uses a
tuned grid rather than a tuned plate.  This mean, the tank has no
capacitor!  But rather, the grid is tuned to the secondary coils resonant
frequency.  I'm not sure that this design would scale up well, but it does
indeed work.  This site
has a tuned grid VTTC.

13) Spark length

Its very common that VTTCs have much less in the way of spark length than a
SGTC of the same power.  This is due to the CW mode of operation.
John Freau developed a rough formula for figuring SGTC spark length for high
performance coils: spark length = 1.7*sqrt(power input).  He also developed
a similar equation for VTTCs: spark length = .5*sqrt(power).  Spark length
is in inches and power is in watts.

14) What are some other good web
resources?

I have created a list of sites that have at least a trace of information
about tube coils.  I will also include some tube databases and some links
to oscillator theory etc..

Daniel McCauley

http://www.spacecatlighting.com/

Teslina Site

http://www.geocities.com/teslinasite/

Ross Overstreet

http://hot-streamer.com/ross/

Sue Gaeta

http://community.webshots.com/user/sgaeta

Carl Willis

http://www.angelfire.com/electronic/cwillis/index.html

Alan Jones

http://personal.atl.bellsouth.net/a/j/ajones18/

Simon Winder

http://www.robotbugs.com/robotbugs/sparks/vactesla2.htm

Mazzilli Vladimiro

http://www.pupman.com/current/vladi2/index.html

John Freau

http://hometown.aol.com/futuret/page3.html

David Trimmel

http://chaoticuniverse.com/webdoc2.htg/Tubez.htm

Of course me!

http://www.hot-streamer.com/srward16/

Oscillators

http://www.infodotinc.com/neets/book9/35c.htm

Everything!

http://www.electronics-tutorials.com/

Tube info

http://www.radau5.ch/valves.html

Tube Database

http://hereford.ampr.org/cgi-bin/tube

'nother database

http://tdsl.duncanamps.com/index.php

15) VTTC Math

There is very little out there for VTTC design equations. I have been
corresponding with John Freau for a while now, and he has given me several
equations, and rules of thumb that may help others when they are designing a
tube coil. I will try to present them as clear as I can. Nearly all of the
equations and information were sent to me from John Freau. Enjoy!

Many of the calculations for the primary and secondary coil parameters can be
figured using Bart's Java TC calculator. I
use it often, and its quite accurate, though I sometimes find the tank likes to
be tuned a bit lower than Java TC would suggest, so keep this in mind (I like to
add an extra 15-20% of winding to all of my primary coils). So you may need to
use the program with these equations presented below.

It is very difficult for me to specify an order to these calculations, so
they may not be presented in the best form, but I will try to make this logical.
I think first, one should decide on an secondary and primary coil and
dimensions. For example, if you plan on a 24" spark coil, use a 3.5" x 12-17"
secondary with 28 or 26awg respectively. Add in a small toroid. Make the primary
roughly 2X the secondary diameter (not really a rule, but it seems to work ok)
and use at least 15 turns (its probably better to have 20 or more). This is only
an example! There are many designs that may work, but I will use my dual 833A
coil for all examples. You may need to juggle the equations around to arrive at
a design that meets your requirements.

I think it is important to start off by choosing a Q value for the tank
circuit. Generally a Q of 10-20 is ideal. Lower Q gives less tube efficiency,
more difficult coupling, but less tank losses. Higher Q gives higher tube
efficiency, easier coupling, but more tank losses.

Q=R/X

Ex. Q=2083ohms/200=10.46

X=primary reactance (Ohms)

R=Load impedance of the tube

Note: use next equation to figure out the primary reactance:

X=2*Pi*F*L_pri

Ex: X= 6.28* 400,000hz*(80uh/1000000)= 200ohms

X=Primary reactance (ohms)

F=Secondary resonance
(hertz)

L=Primary could inductance
(henrys) (use JavaTC)

In a class C amp the tube load impedance is equal to the plate voltage
divided by 2x I_plate. This is for coils using a filtered DC supply.

R=V/2I

Ex. R=5000V/1.2A=4166ohms

V=Plate supply voltage
(volts)

I=Plate supply current
(amps)

This assumes 2 tubes, both at about 300ma. So that's 600ma
from the plate supply.

Note: You need to simply assume what current you want the tank to pull
from the plate supply, use the tube spec sheet to find the maximum plate
current and go from there.  This is not an exact
science.

John Freau suggests that with AC (or pulsed DC) supplied coils, the
equation should look like

R=V/4I

Ex. R=5000V/2.4A= 2083 ohms

V=Plate supply voltage
(volts)

I=Plate supply current
(amps)

I will use this value for all other
equations.

Here is a key design equation. You give the desired Q and the frequency of
the coil, and it tells what size primary cap is needed.

C_tank=Q/2PiFR

Ex. C=10.46/(6.28*400,000*2083)= ~.002uf (after
multiplying by 1,000,000)

C_tank=Tank capacitor
(farads)

F=Resonant frequency
(hertz)

R=Tube load impedance
(ohms)

Note that I got my Q from the first few
equations.

You could solve for the Q of an already built coil:

Q=2PiFRC

Ex. 6.28*400000hz*2083ohms*(.002uf/1000000)=10.46

C_tank=Tank capacitor
(farads)

F=Resonant frequency
(hertz)

R=Tube load impedance
(ohms)

Note: This equation is simply rearranged to solve for
Q

So you see, these equations are all interrelated, so you may need to further
manipulate them to come up with a good design. Use them as a general guide, not
as a rule.  VTTCs are actually rather unstable oscillators... some say that
is the key to their long sparks.  I don't think any simple set of equations
could pin down the perfect design so don't fret over the math!

Questions? Comments?  Suggestions?  Complaints?  Send them to
me at : steve.ward(at)gmail,com

Thank you,

Steve Ward