Dielectrics and Energy Storage:
Here's the long and short of it, a little simpler and more detailed than most "science" type posts. Skip down to the analogy first if you wish.
Our problem is that we need a dielectric material that is able to express a large polarization. That is, we need a material that is able to separate a large amount of charge over a long distance. But it's not just the distance alone, and it's not just the amount of charge.
If you get to the maximum separation distance for a given charge within a field of only 1 V/um, then you won't be storing very much energy. In other words, the charge is too easy to separate to the maximum distance, which is the crux of the problem with using conductive particles alone - you need a material that provides some resistance to having its charges separated.
Also, the resistance needs to be fairly constant over a useful separation distance before it starts to resist too much. In other words, the resistance should be linear until it won't stretch well anymore and ends up "saturating".
But most importantly, this resistance needs to be "elastic" - that is, the energy applied to the resistance needs to be passively reversible - think "spring" instead of "shock absorber". Now, you don't want the elastic resistance to be too large, or you won't get much charge separation before your applied E-Field strength gets so high that your material breaks down.
So, added to our requirement for large polarization we also need an optimum "elastic resistance" in that polarization mechanism. These are the fundamental features that need to be addressed for a high energy storage dielectric material.
Here's an analogy:
Say for instance you have three materials, a pile of 10,000 feet of fishing line, a 20 foot length of surgical rubber tubing, and 1 foot of Bungee cord. Each of these three represents different approaches to providing permittivity in a dielectric medium. Assume that the fishing line represents conductive metal particles, the surgical rubber represents standard (undoped, unmodified) BaTiO3, and the Bungee cord represents the latest high voltage glass dielectric.
1) Fishing line = conductive particle: Attach the free end of the line to a fishing reel. Make a mark 1,000 feet down along the line. Climb up to the top of the CN Tower 1,000 feet high so that the mark you made just starts to lift off the ground. The 1,000 foot height represents the really long dipole you can get if you separate free charges to the ends of a 1 micron long particle. Now start reeling it up. It's very easy to reel, isn't it? The only resistance you might feel is just a little bit from the weight of the line itself since it's just sitting in a pile at the bottom and there's nothing else holding it back. Ok, once you've reeled up the mark you placed on the thread, that means you displaced 1,000 feet of line.
Now turn the directional switch on the reel and let the line reel out on its own. It doesn't exactly spin like you've got a marlin on the end of the line, does it? Tick....... tick...... tick...... goes the reel, until the line is all reeled back out and the 1,000 foot marker is back on the ground. Sure, it was a long distance, but there wasn't much tension pulling the line back, just the weight of it. As it reeled out you could have stopped it just by applying the slightest thumb pressure to the reel's spindle. The total energy put in to reel it all up, or total energy released as it unreeled was not much. And there was 8,000 feet of line still available so you could have kept reeling it up for a VERY long time and you wouldn't have come to a point where it got appreciably harder to reel in. This corresponds to the fact that a metal particle has a virtually inexhaustible supply of free electrons no matter how many volts per micron you place across it, so practically speaking you won't get to the point where you start to feel some added resistance (saturation) as when the available electrons start running out. Very long dipole x Very, very little tension = low total energy storable per unit volume.
2) Surgical tubing = standard BaTiO3: Use a rickety old 20-foot wooden ladder and 20 feet of tubing. Anchor one end of the tubing to the ground and make a mark along it at the 10 foot point. Grab the free end and climb to the top of the ladder. Attach the free end to a cheap plastic garden hose reel. Start cranking. The surgical tubing stretches easily, but you can still feel the burn in your arms after about 3 or 4 turns. Keep cranking until you've stretched the tubing to the point where the 10-foot mark just makes it to the hose reel. If you had kept cranking past this point, you'd notice that it would start to get a lot harder to crank another turn on the reel. This corresponds to the beginning of "saturation". If you had kept cranking it even a little more, the tension might be so great that the stress on top of the rickety old ladder might cause the ladder's legs to splinter. This corresponds to "breakdown". The strength of the ladder's old wooden lattice can't handle the stress.
But we stopped at the 10-foot point to avoid the case of "diminishing returns". So, now turn the directional switch on the reel and let the line reel out on its own. whiiiiizzzzzzzzzzzzzzzzzzzzzzzz! Like a marlin on the end of your line. Not as long of a play-out as the previous example of conductive particles/fishing line, but much, much more energy stored per turn. Medium length dipole x medium tension = medium total energy storable per unit volume.
3) Bungee cord = glass dielectric: Use a light-duty steel hand winch mounted on a 1 foot tall granite slab. Anchor one end of the 1 foot long piece of bungie cord to the ground, and attach the other end to the winch. We're using the kind of bungie cord that they strap 2 people to before they push them off the bridge. Heavy duty stuff. Now crank away. Good luck getting more than 1/2 a turn out of it before you just can't turn hard enough. If you had got your friend to help, you might get a whole turn out of it, but you might also shear the handle off the axle. This represents dielectric breakdown. Notice how it didn't get any harder to turn than it already was, before the handle sheared. The glass represents low-permittivity material (high resistance to polarization), which will typically breakdown long before its dipoles saturate (get harder to stretch).
But, we stopped at half of a turn. Turn the directional switch on the winch and let it go. WHZ!! Very short play-out, but wow - lots of power behind it. Short dipole x high tension = medium to high total energy storable per unit volume.
So we've got charge, distance and elasticity - those are the 3 factors that determine electrostatic energy storage density. For maximum storage density we want to have a dieletric with the highest charge amount possible at the highest separation distance possible, and we also want the ideal amount of elasticity in that system so that the voltage isn't too high before the charges reach the maximum useful separation distance (breakdown way before saturation), or so that the voltage isn't too low before we reach maximum useful separation distance (saturation way before breakdown).
That's it. That's all there is to how a dielectric material helps to store more energy in an electrostatic capacitor, and analogies 2 and 3 above illustrate the limitations of normal (intrinsic) dipoles, and analogy 1 shows conductive particle limits - it's a study in trade offs that simply can't store even a hundredth of the energy that EEStor claims.
However, if you've been paying attention you've probably said to yourself: "Yeah, but what about combining the CN Tower from #1 and the surgical tubing from #2? Wouldn't we be able to crank away at a medium tension for a hell of a long time without building up so much stress that we break something? How much total energy would that store?".
Good question. Is there a way to impart some BaTiO3-like dipole elasticity to normally un-elastic mobile charges (electrons/holes) that can span the entire length of the 1-micron particle? That would be 2,500 times longer than the BT molecule's unit cell, but would have BT's elasticity (permittivity). I think that EEStor knows how to do it.
daniel_r_plante@hotmail.com
"...the nation which controls space can control the Earth."
- John F. Kennedy October 24, 1960
Electricity: P.S.U. - "Produce it locally, Store it locally, Use it locally"
- ricinro
