Electromagnetism and Levitation
In basic levitation
(Fig 1) an object appears to float due to the invisible forces of magnets.
A magnet creates a field that forms two opposing poles: North and South
(Fig 2). Opposite poles attract each other while similar poles repel.
For magnetic levitation, there is a fixed magnet and a smaller free
moving permanent magnet, which is the object that will levitate. This
object has two forces exerted on it: downward force from gravity and
upward force from the fixed magnet.

Figure 1
Levitation using electricity to create a magnetic field.
http://www.dimi.uniud.it/~franco/levita_0.jpg
In levitation, these
two forces must be equal. The gravitational force is F
= ma = mg, where
m is the mass of the object and g is the gravitational
constant 9.81 m/s^2. The force resulting from the magnetic field interaction
is very difficult to calculate. For our experiment we will be using
more of a guess and test method.

Figure 2
Fields caused by magnets can be “shown” using a magnet and
iron filings
www.lhup.edu/~dsimanek/
scenario/analogy.htm
The problem with
levitation using permanent magnets is that there is exactly one equilibrium
position in which the force from the magnet counteracts the force of
gravity. If the object becomes closer, it is pulled with an even stronger
force towards the magnet and if it becomes further away, the force from
the field is too weak and the object simply falls to the ground. This
is what makes levitation unstable.
One way to counteract this problem is to replace the permanent magnet
with a coil of wire that creates a magnetic field called a solenoid.
(Fig 3) When a current is run through a solenoid it produces a magnetic
field. The magnitude of this field is given by
where B is the magnetic field, is a constant, and n is the number of
turns per length in the coil. The magnetic field of the solenoid is
controlled by the amount of current going though it. Solenoids are used
to make magnetic levitation more stable. The strength of the solenoid
is controlled through circuitry, which alters the amount of current
going through the solenoid depending on the position of the object.
There are a number of ways to measure the position of the object which
will be discussed in the circuit section.

Figure 3
A solenoid and a bar magnet and their magnetic fields.
http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/imgmag/barsol.gif
Summary
of Patent 4,910,633
On
March 20, 1990 Louis Quinn was granted a patent for a levitation control
circuit using two sensors on either side of a ferromagnetic core. More
specifically, the circuit contains two linear Hall effect sensors, an
element to sum their two outputs, a reference voltage, an element which
compares the reference voltage and the summed sensor outputs, and an
element which then adjusts the electromagnet voltage accordingly. In
team Ukiyo’s circuit, the summing elements are TL084 Operational
Amplifiers and the adjustment element is the IRF840 field effect transistor.
Also, the reference level voltage is set by the second potentiometer
(marked POT2). The patent improves upon and simplifies the tradition
levitation control systems which the patent claims are “complicated,
generally expensive” and “operate unsatisfactorily”
(5). Older circuits relied on producing exactly the right force to counteract
gravity. This meant if the field was off by even a small amount, the
levitated object would either be attracted to the electromagnet or lose
levitation completely.
BACKGROUND OF THE
INVENTION
1. Field of the
Invention
The present invention
relates to magnetic fields and levitation and more particularly to a
method and apparatus for levitating objects using a magnet attached
to the object to principally lift an object toward a core element of
an electromagnet while driving the electromagnet with a variable duty
cycle and frequency power source to fine tune the levitation forces.
The invention further relates to a method of detecting magnetic field
strength and variations therein between the core of an electromagnet
and an adjacently suspended permanent magnet.
2. Background of
the Related Art
The ability to levitate
objects in a magnetic field is considered to be useful for many applications.
One obvious application is in the area of model displays and toys. Levitation
is very useful for adding a sense of realism and accuracy as part of
suspending many models, such as those of satellites, aircraft, spacecraft,
and the like, in mid-air. It is also desirable to be able to suspend
some objects that comprise an artistic formation or work in mid-air.
At the same time, however, levitation has beneficial applications for
scientific work such as where isolation of a chemical or material both
electrically and physically from its surroundings is desired. It may
also be desirable to use magnetic levitation to suspend some materials
during processing or storage to counterbalance some of the forces of
gravity or to better control material positioning in low gravity environments.
In the past, several
attempts have been made to provide methods or apparatus for levitating
objects. Generally, such apparatus comprises one or more electromagnets,
although permanent magnets have been used in some configurations, powered
by an adjustable strength current source. The electromagnets are suspended
above, or below, an object to be levitated and generate magnetic fields
which are used to attract metal in the object, or repel permanent magnets
mounted on the object. The electrical current supplied to the electromagnets
is adjusted to vary the strength of the magnetic field established by
the electromagnet so as to just counter the force exerted by gravity
on a suspended object.
One major problem
in previous levitation apparatus was to sufficiently or properly balance
magnetic attraction, or repulsion, against gravitational forces on a
levitated object to achieve levitation. That is, the object must be
levitated with sufficient force to prevent releasing it to fall and,
at the same time, without attracting it so strongly as to cause it to
contact the magnet or surrounding structure. This is accomplished using
a combination of sensors to detect the magnetic field strength, and
feedback control over the electromagnets based on the sensor data. However,
previous attempts at such controls have produced complicated, generally
expensive, control circuits which operate unsatisfactorily in many applications.
The sensors require very precise or critical alignment which precludes
many commercial applications. Transient lateral motion or wobble of
the object also causes severe problems for the feedback controls typically
resulting in loss of levitation.
What is needed is
a method and apparatus for levitating objects that has less stringent
construction.
For more information visit: http://patft.uspto.gov
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