Parametric Excitation of Electric Oscillations

#SoME2
#electricity #ericdollard

This video gives an introduction into parametric resonance in a series resonant electric circuit.
This is my first attempt at making a lecture style video and my first time coding math animations, two things I've always wanted to do. It was so fun to learn python through using Manim and I am thankful to 3b1b for hosting the Summer of Math Exposition for giving me incentive to finally do it.

I hope this video and the sources attached will give people a good base understanding of this lesser talked about phenomenon, so that it can be experimented with further. I am replicating the device from 1930 with plastic and copper, but I'd like to see what people more knowledgable than I could improve upon this idea (i.e. making a solid state version of the variable inductor, simulating circuits using this effect, etc.).

In the future I will be making a video on the deeper complexities of this topic, such as methods of quelling the oscillations to deliver steady power to a load, achieving parametric resonance by varying the capacitance, looking further to the solutions of the differential equation, and more. I will also make videos following my experimental replication of the device from the paper I reference.

Sources and useful Information:

- Papers on Electrical Parametric Resonance -

- Videos -

[not_David]

I really enjoyed this one, especially the introduction, felt like I was going on a journey.

[JustXAshton]

This is awesome. Now imagine you use a plasma instead of a standard circuit.

[zbigniewrichard]

Thank you for giving us a potential lead to extracting energy from the vacuum by exciting it parametrically at resonance.

[JenkoRun]

I found a very, VERY, interesting quote from Dollard on the energetic forum:

"Yes, harmonic oscillations in coil windings generate parametric dielectric energy storage co-efficients. Farads per second. Good path to follow." -From: Eric Dollard Sent: Friday, September 30, 2011 1:55 PM

Tesla Coils, anyone?

[mrholidaymail]

Eric Dollard is a real one, great video

[dennismatovich]

Brilliant! This reminds me of Teslas rotating spark gap concept.

[sandysmagicmix]

Awesome video. Thanks so much for making the effort with the graphics so that uneducated people like myself can have a chance to understand without mathematical knowledge. Those Dollard lectures are so entertaining. I do not understand his equations but I understand his humour very well! Wishing you all the best!

[honeydavis]

First, resistance does not store energy. Secondly, the variation to which Steinmetz referred occurs in a rotating machine that supplies the extra energy.

[hakasays]

I'm amazed to see others following the School of Dollard/Steinmetz getting so deep into parametric variation (and with the math to prove it!)😄😄😄

I have a slight issue with variation of C. C is a storage coefficient and not an energy transfer coefficient. E=CV is a statis quantity meaning reduction of C causes an increase in voltage.
I believe your work is still correct but requires a phase-offset of 90deg to account for this.

IMO the benchtop model will probably not work because eddy currents involved. Maybe with a saturable reactor mag-amp and a spinning magnet to vary inductance of the reactor?

[bizarro_bread]

Interesting concept, but you’re not generating energy. The energy equations don’t break down when alternating the parameters of the circuit, you’re just adding or removing energy using external forces that require that extra energy to operate.

[ShredEngineerPhD]

even a few minutes in, I can tell this is a gem. thanks bro!

[alanx]

Great presentation.

Basically, V = d(LI)/dt = IdL/dt + LdI/dt

the dL/dt part is parametric variation of the inductor.

[espersnzacuestamorales]

Thank you so much for your video, it's wonderful, thank you very much!!

[lukiepoole]

No energy is expended in increasing the inductance of the coil if you didn't notice. The coil doesn't repel the incoming rotating core, it *pulls* it instead :)

[sebaberny]

Great work and great video. Time ago I found a paper showing a set of parametric old commercial trasformers of brand "Paraformer". Also the old patent Figuera seems to use a parametric trasformation.
Actually there are many parametric amplifier multichannel for the qbit signals

[zdayz]

You'd have to demonstrate it.. but I think you're forgetting that the same magnetic field collapsing on a higher inductance coil is going to have higher voltage but a lower xurrent.... The other factor is that the capacitor is going to limit the power that can come back because even if it is the same current and higher voltage the cap has limited size and can only hold so much current before it over voltages.... Sort of... So I think you would have to have a parametric capacitance to in order to collect the higher energy and dumped a portion of that back to the smaller system

[Braydan]

there we go, a rotating gear than changes inductance but requires energy to rotate. Almost buddy, maybe next time aye 😅

[ChrisSAGD]

So what happens if you combine mechanical oscillators and electrical parametric oscillators? Mechanic oscillator raises and lowers the inductance of the inductor by means of a copper pendulum swinging between the coils. To sustain the pendulum, we could perform some minimal work to reset the pendulum. We could then have an apparatus consisting of a series of coils and pendulums. Would this yield similar results as the copper disc?

[JenkoRun]

Isn't it amazing that such simple examples that exist in mechanical systems that let you increase the overall effect also apply to electric systems on the same basic principle? It's just in the case of Electrics the system is based on fields instead of physical matter.

[mrmishmash]

Great video! Thanks. Will be there some continuations (other video) as you said in this video? Have a great day