omblauman wrote: ↑Fri Apr 23, 2021 2:21 pm
The engine power balance is as follows:
Pd + Po = Pg where d stands for displacer, o for oscillator and g for generator
rewritten in terms of "per cycle" energies
Wd * EFFd + Eo/Q = Ws EFFg
where Wd is the mechanical energy expended by the displacer, EFFd is the efficiency of the electrical device which drives the displacer, Eo is the electrical oscillator energy, Q is the inverse of the per cycle losses, Ws is the Stirling engine energy out, and EFFg the generator efficiency.
Ws is for example the area of the figure in
https://www.youtube.com/watch?v=dvomod6 ... ex=26&t=1s
I introduced Q because it's customary to write oscillator losses in this way and it's already calculated in all books, Q= 1/R *SQRt(L/C) .
EFFg is the generator efficiency and must come down to somewhere in between 20% and 80%
Wd is a fraction of your LTD feather energy. As you can see the only real question mark is EFFd, which depends on the design of the only original component in this deal. It is what I wanted to calculate with the spreadsheet, to measure with the displacer-all-by-itself experiment and which would tell us if the LTD with the electric flywheel would work or not.
This quantitatively summarizes the logic behind the 1 to 5 points.
I'm not sure we have the same idea of what the goal is here.
Taking the first part: "The engine power balance is as follows: Pd + Po = Pg where d stands for displacer..."
P, I assume, stands for power? So if d is displacer, is this suppose to represent the power output of the displacer? Power consumption?
"o for oscillator and g for generator"
So is Po the power input to the oscillator, the power stored in the oscillator, or what exactly?
"rewritten in terms of "per cycle" energies
Wd * EFFd + Eo/Q = Ws EFFg
where Wd is the mechanical energy expended by the displacer,"
So then Pd = Wd?
"EFFd is the efficiency of the electrical device which drives the displacer"
What device is that? Isn't that supposed to be the oscillator? Or the inductor loop or coil through which the oscillation travels?
"Eo is the electrical oscillator energy" The same as EFFd?
"Q is the inverse of the per cycle losses" No real idea what you mean there.
"Ws is the Stirling engine energy out"
As far as I'm aware, we are mainly considering a small model engine that has no effective output. No load.
" and EFFg the generator efficiency."
I was thinking, as far as any generator, just a coil and magnet somewhere synchronized with the oscillator or actually generating the electrical oscillation in the circuit.
"As you can see the only real question mark is EFFd,.."
I think there are a number of additional question marks, from my perspective.
"which depends on the design of the only original component in this deal. It is what I wanted to calculate with the spreadsheet, to measure with the displacer-all-by-itself experiment and which would tell us if the LTD with the electric flywheel would work or not."
I don't have any real clue or idea what exactly you're after here.
What do you mean by "the displacer all by itself".
A displacer could be virtually anything. A disk of cardboard, or styrofoam or balsa wood. A tin can, some steel wool, a paper and tape box, or in this proposed device, any of the above, perhaps lined with aluminum foil, like foil faced styrofoam insulation perhaps.
If that is determined. What is needed to make this calculation?
The weight of the displacer?
That too could be anything or virtually nothing, in the case of magnetic suspension, or hanging the displacer, or otherwise balancing or counterbalancing it in some way.
A displacer could also be a diaphragm. Or in some engines the displacer might not exist at all.
In my mind the actual displacer is a wild variable as far as size, weight, material, porosity, air flow, inertia, power consumption (if any) etc. Not really a basis for any kind of calculation.
In general a displacer, as I mentioned before, takes, or consumes a negligible amount of energy, or, theoretically, no energy at all.
It is also an unlikely producer of any power, even if lifted and allowed to fall, say, through a coil, as it took almost no energy to lift in the first place, it has no real energy to give back in falling down. It just kind of floats.
Or take this rotary displacer, revolving on a pin point.
https://youtu.be/WWEEqvnjbfI
The energy required to set it in motion and to keep it going is so small as to be entirely negligible, or virtually non-existent.
As far as I can figure, taking the first equation above:
"The engine power balance is as follows:
Pd + Po = Pg where d stands for displacer, o for oscillator and g for generator"
Pd is, if anything, negative.
Po is also negative. The oscillator requires power input to make up for loses in the circuit.
So Pg is also negative.
But this appears to neglect Ph, or however one might wish to designate heat/power input, which ultimately has to supply the power for the other three.