This concerns a feasibility study for a small helium-filled R/C blimp.
It will have to navigate in a relatively constant-intensity magnetic
field of 1-2 Teslas that will follow a toroidal shape. Of course there
will be induced voltages and eddy currents, even if the speed is max 1
m/s.
An existing blimp working under "normal" conditions is propelled by
4mm, 0.5W, 300mA, 5grams Portescap DC motors, 9/60 reductor gears and
hand-made propellers delivering 5 to 6 grams of thrust. Speed of the
propeller is not really known. The new motor should be in the same
working area.
- Could it be possible to use these standard DC motors despite the
strong magnetic field, or would they require a shielding? The blimp
will have a payload of only 400g, so no heavy solution is possible.
- While the idea of using the ambient magnetic field to replace the
permanent magnet stator seems attractive, in practice it would be too
complicated to make the motor follow the magnetic lines and still keep
the correct orientation.
- Piezoelectic motors: I know they are high-torqued at low speed (like
the Canon lens USM ultrasonic DC motors), but what about their
efficiency and max rotation speed? There are linear actuators and
"inchworms", but they are not useful for this applications.
Furthermore, the use of magnetic materials might later be stricly
prohibited (no iron, nickel, cobalt, ferrites etc.), so the
piezoelectric might be the only solution. However, could it be
possible to build a rather crude motor with a simple coil that would
turn rather "square" (badly), being influenced by ambient EM field?
Thank you for your inputs. In another post, I discuss an alternative
propulsion system: by gas. |
Clarification of Question by
knightmare34th-ga
on
05 May 2004 02:08 PDT
As requested by neilzero-ga, here are some clues.
For the magnetic field of 1 to 2 teslas, it can be compared to the
Earth's magnetic field, which is estimated at about 5x10-5 tesla [1 T
= 1 kg/Cs = 1 N/Am], or is 0.5 gauss. A standard electromagnet
produces 2T, while 25T can be reached by water cooled coils, 35T by
supraconductive coils, and even 100T by big capacitor discharges. In
the "Palais de la Découverte" in Paris there is a big electromagnet of
9 tons delivering 1T: it is sufficient to hold straight horizontally a
massive steel chain and to ruin a mechanical watch by magnetization of
the needles...
Here is a link about magnetic saturation and B-H curves:
http://www.oz.net/~coilgun/theory/saturation.htm
magnetic materials:
http://www.oz.net/~coilgun/theory/materials.htm
(useful: 1 Tesla = 10000 Gauss).
The shape of my magnetic field will be in the order of 40 meters (I
don't know exactly).
The R/C acronym means "radio-controlled". Sorry I thought it was common notation.
Portescap is a brand name well known for small DC motors (as are Maxon
Motor and Faulhaber among others). The blimp will be around 2*0.5*0.5
meters (not defined yet), mass around 300g. The propellers of the
current blimp (1.1x0.63.x0.50m, 180g) are ~15cm of diamater but very
lightweight (handmade from balsa). They generate a thrust of 5-6
gram-force (~50 milliNewtons), they run at ~1600 rpm thanks to a 9/60
reductor. The motors are weighing 3.5g and are 8mm diameter (not 4mm
as stated) and deliver 10700 rpm without load and max 0.6 mNm of
torque.
The Laplace force F created by a current i flowing into a wire a of
length l in a magnetic field B is: F = i*l x B (where F, l and B are
vectors, and x means vector product.
The electromotive force emf (voltage) created at the tips of a mobile
of length l moving at velocity v perpendicularly to a magnetic field B
is: emf = -B*l*v. And if the mobile is conductive of resistance R, a
current i = emf/R will be induced.
As to the proposition of using 3 perpendicular motors, I've thought
about it but it triples the weight, and still they would be saturated
by the ambient magnetic field. I have the confirmation that I cannot
use magnetic materials (ferro- or ferrimagnetic, i.e. everything
attracted by a magnet).
Concerning the piezoelectric rotary motor, I've found something from
Physik Instrumente (PI Ceramic):
http://www.physikinstrumente.de/pdf/P915K094PZT_RotMot_crop.pdf
It is 3mm in diameter, 6mm long, 1000 rpm, 0.4 mNm, totally
insensitive to magnetic fields. That is close to what I need.
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