Difference between revisions of "Electromechanical converter"

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m (Following is Nanosystems 11.7.4 Energy dissipation an efficiency)
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== Quantitatively ==
 
== Quantitatively ==
  
=== From [[Nanosystems]] 11.7.3. Motor power and power density (and 11.1.7 Charge carriers and charge density) ===
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=== From [[Nanosystems]] 11.1.7 Charge carriers and charge density ===
  
 
* Rim electrode separation: 3nm (inter electrode distance)
 
* Rim electrode separation: 3nm (inter electrode distance)
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* Charge per length: (Q/l) = 5.5*10<sup>-11</sup>C/m
 
* Charge per length: (Q/l) = 5.5*10<sup>-11</sup>C/m
 
{{wikitodo|fill in missing math steps}}
 
{{wikitodo|fill in missing math steps}}
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=== From [[Nanosystems]] 11.7.3. Motor power and power density ===
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* Motor rim speed: v = 1000m/s
 
* Motor rim speed: v = 1000m/s
 
* Current: I = 2*v*(Q/l) = 110nA
 
* Current: I = 2*v*(Q/l) = 110nA

Revision as of 12:51, 8 August 2022

This article is a stub. It needs to be expanded.

General

High power densities

In Nanosystems the power densities that are to expect to be (at least) possible with
electrostatics based electromechanical conversion at the nanoscale are conservatively estimated.
The power densities predicted to be at least possible already are unbelievably high.

Nanosystems
Chapter 2.4. Scaling of classical elecrtomagnetic systems
Sub-chapter 2.4.3. Magnitudes and scaling: steady-state system
Formula (2.27)
[math] electrostatic–power–density \propto \frac{electrostatic–power}{volume} \propto L^{-1} [/math]
That scaling law means:
When scaling an electrostatic motor/generator

  • from say 100mm (10cm about 4inch) macroscale size down
  • to say 100nm nanoscale size (~500carbon atom diameters)

(which is a factor of a million) then the volumetric power density of this motor/generator
will also goes up by a factor of a million.

Practical everyday consequences of high power densities

In everyday practice that won't mean we'll have motorcycles more powerful than Saturn Five space rockets.

  • Mainly because that just won't be needed.
  • Secondarily because energy density does not scale that well. A carried along energy storage would be used up in no time.

In everyday practice what rather will be the case is that the volume of motor metamaterial (say in motorcycles) will be very very small and likely directly integrated into the bearing metamaterial. In terms of this wikis terminology:
muscle motors in infinitesimal bearing make shearing drives.

There won't be a motor in the engine room of vehicles instead the most voluminous things remaining are

  • energy storage
  • structures for thermal waste heat cooling (bigger means the flow in convection cooling can be laminar and silent)
  • the structural frame

What when really pushing the limits?

When really pushing the limits for whatever reasons (maybe not in the context of motorcycles) then one might worry about cooling. Given the high performance of diamondoid heat pipe systems and diamondoid heat pump systems combined with the waste heat being only a tiny fraction of the total power due to high efficiency of the electromechaical conversion, this looks good though. The bottleneck may be the radiators. When the waste heat needs to be pushed out of the machine phase. They'd need to be build big and out of refractory gemstone-like compounds since they might get white hot. In Earths atmosphere one would want to add an impressively strong air stream by blowing in cold air with medium movers. That would look quite impressive actually. In vacuum the radiated waste hear power scales with the fourth power of temperature (Stefan–Boltzmann law) . That's quite good but physical materials have an ultimate limit in temperature. That is there is a temperature above which no material can exist in the solid state (without pressurization to technologically impossible levels).

Quantitatively

From Nanosystems 11.1.7 Charge carriers and charge density

  • Rim electrode separation: 3nm (inter electrode distance)
  • Electrode diameter: 3nm (electrode width)
  • Electrode length: 20nm
  • Field strength: 0.2V/nm
  • Charge per area: ~0.0018C/m² (neglecting beneficial insulator polarization)
  • Charge per electrode Qe = ~3.3*10-19C (about two electrons worth of charge)
  • Charge per length: (Q/l) = 5.5*10-11C/m

(wiki-TODO: fill in missing math steps)

From Nanosystems 11.7.3. Motor power and power density

  • Motor rim speed: v = 1000m/s
  • Current: I = 2*v*(Q/l) = 110nA
  • Voltage: U = 10V
  • Absolute power: P = U*I = ~1.1µW

  • Motor radius: r = 195nm
  • Motor thickness: t = 25nm
  • Motor volume: V = pi*r²*h = ~2*10^-22

  • Motor volumetric power density: epsilon = P/V > 1015W/m³
    This is means >1MW/mm³!!

Citation: "The power density is large compared to that of macroscale motors: >1015W/m³." ...
"(Cooling constraints presumably preclude the steady-state operation of a cubic meter of these devices at this power density.)"

Following is Nanosystems 11.7.4 Energy dissipation an efficiency

All numbers or chosen model design

  • e. Summary: It seems possible to make bearing losses dominant (a few nW)
    and with that get efficiencies >99% at these extreme power densities. Even more efficient at lower power densities.
    Especially with roller contacts instead of sliding tunneling contacts.

  • a. Ohmic: Losses under conservative assumption of the conductivity of bulk macroscale aluminum: ~0.1pW
  • b. Tunnelwiderstand: Losses <3pW
  • c. Bearing losses: From ~1.3pW up to a few nW
  • d. Contact drag:
    — jumping leakage electrons: minimizable by (details ...)
    — thermoelastic damping & phonon drag: still to evaluate potentially dominant! But massively reducible roller contacts rather than tunneling contacts.

(wiki-TODO: Add retracing of math here)

Porting macroscale electrostatic machines to the nanoscale

The scaling law for electrostatic performance is very favorable for such miniaturization.

  • Voltages become much lower (down to ~1V like in computer chips) – this still gives massive electric fields over nanoscale distances.
  • Currents become much higher due to massive device parallelity

Designs that might need not much changes:

  • pelletron
  • Wimshurst machine
  • The Gläser machine (or Lewandowski machine) [1] – cylindric Wimshurst machine
  • A small cylindric simplified Voss machine [2]
  • Lord Kelvin Replenisher [3]
  • Bennet's doubler

Machines needing obvious modifications for the nanoscale:

  • Kelvin water dropper
    Could that be done in a nanoscale version with shooting solid-state charged pellets?
  • Van de Graaff generator:
    Charge seperation would be done in rather different way.
    Well, avoiding rubber (since not a gemstone-like compound), it would essentially become a similar to a pelletron. (replicate nanoscale charge separation mechanism)

Alternative contacting

To avoid the need for graphite tunneling contacts which need quite some surface and dissipate some power a reziprocating drive could be electrically connected with flexing nanotube connections. The flex must be low enough to not disturb the electric properties (conductivity) of the nabotube too much.

References

In the book "Nanosystems"

Treatment of electromechanical energy conversion
and electrostatics in general in Nanosystems (taken from it's glossary):


  • Electrostatic actuators, 335, 336
  • Electrostatic motors, 336-341, 370
  • Electrostatic generators (DC), 336-341

  • Electrostatic energy, scaling of, 30
  • Electrostatic force, scaling of, 29

  • Elecrostatic fields, 29, 200
  • Elecrostatic interactions in MM2, 48, 200

Electromagnetic power densities
do not scale well down the nanoscale.

Related

External links

Here is a website with an extreme detailed collection of information regarding the history of electrostatic machines:
Electrostatic Machines written by by Antonio Carlos M. de Queiroz.
Especially interresting seem

On wikipedia:

Videos: