amazing

Imagen a high voltage AC tranformer.

both its HV ends connected to extra coils
which together for the plates of a hogh voltage capacitor.

that capacitor being parallel resonant with the ac HV coil

their polarities opposing, that capacitor will constantly charge and discharge.

that parallel system could be seen as 2 series resonant systems that are capacitive and inductive coupled.

the voltages are clearly present.
but what about the charging currents for that capacitor? hmm. no source!

a disbalance.
nature needs to fix that!

Why extra coils? why not plates?
because the rotating displacement currents produce magnetic currents.

if power is generated from resonant reactance then the load will need to be pure resistive.

a lamp, a heater. but no motor, no capacitor bank....
unless the reactance of the cap bank is kept low. so a very large capacity than can handle high voltages which only is charged to fairly low voltages to keep the reactance low and steady.

but...
also wat electrolysis comes to mind.
this should act as a resistive load.

so then best is produced high currents with low voltage output.

hydrogen en oxigen should be kept separated so a dc rectification is needed.

then a hydrogen fuel cell would be used to convert the gasses into electric power and water.

I don't know much about fuel cells but cars seem to run on them so...

I added another winding to the high current coil, and series connected it, making it bifilar.
Then I added 4 windings in between to form the output coil, with thinner wire.

I shorted all the coils out and measured the capacity. I hoped it was bigger than the 175pF from earlier testing, but it measured around 145pF which is maybe due to the smaller surface area of the output coil.

Anyway I grounded the shorted high current coil, and hooked it up to my high voltage ac transformer (which by itself is 65.5kc/s resonant)

The frequency was way lower then expected. 14.1kc/s So the added capacity did its work. (HV probe loose capacitive coupled to HV coil)

1.2V (2x 0.6V) input gave around 1A from the PSU.

output coil was shorted out but not grounded

when I instead ground the shorted output coil, instead of the shorted high current coil, the frequency doesn't change.
weird. but amplitude is less, which is to be expected as now the AC HV coil is half wave resonant instead of quarter wave.
I did expect a change in resonant frequency. I will tune up to be sure

I checked high for a resonant frequency but none found.
Then I loose coupled another probe (orange) to the high current coil, and noticed it barely swinged. Probably due to the tight coupled shorted out and grounded out put coil. So now I will remove the ground completely,
but keep the hc and output coils shorted out.

Now I expect higher frequency of resonance, with both the HV and HC coil resonant waves more equal is size (plate size still differs)

ok, now both coils are swinging as expected with more or less equal ampliftude. but still at the same resonant freqeuncy.
I guess I was wrong.
this had no ground. HC and output coils shorted out.
probes loose coupled (capacitive)
frequency still at 14.2 kc/s
So the LCR meter said less capacity is available, but the frequency is much lower. but I am using a different AC high voltage coil, so that has more inductance, and brings the frequency down?
Any ways.

I now should tune the bifilar high current coil to the same frequency. it is very low... so will demand for a huge capacitor in parallel...

I now have 5uF parallel to the HC coil, and it is resonant at 27.8 kc/s
green shows the current probe trace.
The coil cap is still resonant at 14.2 kc/s
So I will need A LOT more capacity parallel to the high current coil.
OR I will need to add more windings to the high current coil.

I'll just measure the inductance of the bifilar high current coil at 10kc/s
then calculate what capacity it needs to resonate at 14.2kc /s

inductance of the bifi coil is 6,49uH which needs a 19,36uF cap to be resonant at 14.2kc/s
I soldered 2 10uF caps in parallel to get 19,8uF very close.
I tuned it to 14.0kc/s near perfect.

The psu has a higher output which is to be expected.
2.3V 1,93A

current is already at 6.5A pp
voltage not measured (capacitive coupled)

note how the phase is different then expected!!!
The high voltage (yellow) and high current (green) are 180 degrees out of phase!!!
The orange is the high voltage feeding into the bifilar coil, but it feeds from the center series connection.

This means the displacement current is now 90 degrees out of phase with the magnetic current.

So If I would switch the current coil at max current, then also the ac HV is MAX.
so... hmm interesting

real voltage is 2kV pp measured at the 2uf cap
much to low.

I will need to increase the windings on the primary of the ac coil or connect it to a choke

I give 3.8V with 3.2A to get 3kV pp right now...

I might need to rebuild the current coil.
give it more windings. tighter wound.
I now have the output coil in between the windings, but I could easily roll it over the current coil.

creating a barrier between the high voltage and high current coil.

then the current coil will need less capacity due to the higher inductance.

but it can also be separate driven. so that the phase can be adjusted.

the ac high voltage coil then is not used on one side, and grounded. giving a higher voltage output..

the bifilar coil will be driven as a push pull half-bridge, with the series connection as center tap, connected to a positive voltage supply.

while the mosfets switch the 2 windings at the parallel capacitor to neutral, alternating.

then the output coil will see the 2 currents in phase. displacement on the outside and magnetic on the inside, as it sits in the middle between the coils. hmm.

that should at least provide power, from the reactive components by bringing them in phase.

but if there is no extra  energy?
well I'll deal with that later.
first goal is to get the 2 currents in phase and prove it provides power.

C or L can easily be calculated if Fr and C or L are known

I made a new high current coil with more windings, giving 20uH
it is now resonant at 15,9kc/s
so now I only need 5uF to make the coil parallel resonant at the same frequency

nice i like the uniform signal

I now made the ac high voltage transformer with extra coil grounded on one side, and now the frequency is up to 28.9kc/s
So I now should use a 1,52uF parallel capacity to get it resonant.
I will use 6x 1uF in series parallel mode to get it

With the 5uF it already showed a decent current, while the high current coil was not connected to anything.
so that is interesting.

I am now not using a output coil, as the 0.75mm2 speaker wire was to thick to fit on top (HV coil didn't fit)

I tuned the bifilar high current coil with 1.5uF and indeed it became resonant at 28,9kc/s where also the high voltage coil is resonant.
Now the magnetic current has the right phase angle.
magnetic current from the bifilar coil and the dielectric displacement current of the High voltage coil are now both in phase!!!

power in: 4.0V @ 1,44 amps =5.76W

voltage= high, but will be even higher.
current is 7.84A (-90 degrees!)

Note that I only power the high voltage coil.
The high current coil if fully driven by the capacitive coupling to the high voltage coil.
Amazing!

In theory this produces a real output into a resistive load.
But I first need to find the right wire for the output coil.

I gave the HV AC primary two more windings, and hooked it up to my own PCB, tuned it, and it works.
I cranked the voltage up, and gave it more power.
easily got 14 A peak to peak. (green) from memory this was around 6,5V with 2.5 amps or something near that
still tuned to 28,9 kc/s

voltage (yellow) says 3.2kV pp but its higher than that, as the probe was clipped on the output wire of the HV transformer (thick isolated coating)
ozone smell coming off the connection. need to solder that and isolate it.

I use earth ground now on the secondary of the AC transformer.
But I need to ground it on the neutral of the circuit, or the "middle" of the push pull driver, as that has a lot of capacity on both sides, to keep the voltage stable.

Then next... connecting the choke coil to the bifilar coil. For that I first need to make the connection to the thick multistrand high current coil.
bugging tedious works. as it is a induction stove coil, multistranded and isolated per strand.
again.... pfff
I tried acid to get the coating off. but... no success...

then there also is the idea of having that choke coil connected to a floating capacitor plate that is high voltage AC. 
wont that spark everthing over? will need to thing this over. before burning my pcb to ashes


PSU current is still high, at low voltage, but I expect it to lower when I get the current coil drive working, as that will draw in energy from ... the ambient medium, like I showed last summer, but then from ground.

I connected the choke to the series connection of the bifilar high current coil.
This shifted the resonant frequency down to 15.5 kc/s
This means I now have to retuned the parallel resonant with a larger capacity.

I also hooked up the current coil power supply, but not yet the mosfets.
strangely the PSU shows voltage, maybe from the choke diode, but the voltage is positive. so no that cant be
probably will need blocking diodes again on the PSU.

can I still use the 20uF to calculate? I think not. but will try any ways.
5.3uF says the calculator.
ok. no problem. I'll dial it in

with 5uF the HC coil is resonant at 14.5
but the HV is resonant at 15.5
so I need less.
4uf is next

strange.
now the HC coil is resonant at 15,27 kc/s with 5.5uF in parallel.
HV coil doesn't show a clear maximum rise.
I will keep this one, although the phase is shifted, So I will detune the HC a bit up in frequency to get the right phase angle.

I tuned up to 15.7 kc/s
the voltage is max, the current is less, it clearly is over its peak. but, now the phase is -90 degrees as it should be.
I should get a bit less capacity. somewhere between 5 and 5,5 uF.
But it will have to do for now.
I also tuned the square wave (orange) to the zero points. with something like 48% duty cycle (4% dead time in total)

calculator says I need 5.233073243 uF  based on f= 15.6546 and L=19.751473466 uH (calculated)
so.. 233nf or, 733nF
let's see if I can find a cap

pfff tuning is it working out today.

I removed 3uf again, so to see the Fr of the HV coil. it is now at 15.5 kc/s
so 5.3uF should be ideal

this is with 5,3uf tuned to max current.
voltage is again also at the max, but... somehow the phase is again shifted.
so I need to detune to get the -90 degrees phase shift.
weird.

I removed the choke again from the center series connection of the bifilar coil, and retuned.
frequency is again at 29.1 kc/s and clearly the phase is at -90 and it stays there while tuning.

This makes me wonder.
should I really connect the choke there? would it also work at one end of the parallel capacitor?