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A permanent magnet stepper motor has a cylindrical permanent
magnet rotor. The stator usually has two windings. The windings could be
center tapped to allow for a unipolar driver circuit where the
polarity of the magnetic field is changed by switching a voltage from
one end to the other of the winding. A bipolar drive of
alternating polarity is required to power windings without the center
tap. A pure permanent magnet stepper usually has a large step angle.
Rotation of the shaft of a de-energized motor exhibits detent torque. If
the detent angle is large, say 7.5o to 90o, it is
likely a permanent magnet stepper rather than a hybrid stepper (next
subsection).
Permanent magnet stepper motors require phased alternating currents
applied to the two (or more) windings. In practice, this is almost
always square waves generated from DC by solid state electronics.
Bipolar drive is square waves alternating between (+) and (-)
polarities, say, +2.5 V to -2.5 V. Unipolar drive supplies a (+)
and (-) alternating magnetic flux to the coils developed from a pair of
positive square waves applied to opposite ends of a center tapped coil.
The timing of the bipolar or unipolar wave is wave drive, full step, or
half step.

PM wave drive sequence (a) ?1+ , (b) ?2+
, (c) ?1- , (d) ?2-.
Conceptually, the simplest drive is wave drive. (Figure above)
The rotation sequence left to right is positive ?-1 points rotor north
pole up, (+) ?-2 points rotor north right, negative ?-1 attracts rotor
north down, (-) ?-2 points rotor left. The wave drive waveforms below
show that only one coil is energized at a time. While simple, this does
not produce as much torque as other drive techniques.

Waveforms: bipolar wave drive.
The waveforms (Figure above) are bipolar because both polarities ,
(+) and (-) drive the stepper. The coil magnetic field reverses because
the polarity of the drive current reverses.
Waveforms: unipolar wave drive.
The (Figure above) waveforms are unipolar because only one polarity
is required. This simplifies the drive electronics, but requires twice
as many drivers. There are twice as many waveforms because a pair of (+)
waves is required to produce an alternating magnetic field by
application to opposite ends of a center tapped coil. The motor requires
alternating magnetic fields. These may be produced by either unipolar or
bipolar waves. However, motor coils must have center taps for unipolar
drive.
Permanent magnet stepper motors are manufactured with various
lead-wire configurations. (Figure
below)

Stepper motor wiring diagrams.
The 4-wire motor can only be driven by bipolar waveforms. The 6-wire
motor, the most common arrangement, is intended for unipolar drive
because of the center taps. Though, it may be driven by bipolar waves if
the center taps are ignored. The 5-wire motor can only be driven by
unipolar waves, as the common center tap interferes if both windings are
energized simultaneously. The 8-wire configuration is rare, but provides
maximum flexibility. It may be wired for unipolar drive as for the
6-wire or 5-wire motor. A pair of coils may be connected in series for
high voltage bipolar low current drive, or in parallel for low voltage
high current drive.
A bifilar winding is produced by winding the coils with two
wires in parallel, often a red and green enameled wire. This method
produces exact 1:1 turns ratios for center tapped windings. This winding
method is applicable to all but the 4-wire arrangement above.
Full step drive provides more torque than wave drive because
both coils are energized at the same time. This attracts the rotor poles
midway between the two field poles. (Figure below)

Full step, bipolar drive.
Full step bipolar drive as shown in Figure above has the same step
angle as wave drive. Unipolar drive (not shown) would require a pair of
unipolar waveforms for each of the above bipolar waveforms applied to
the ends of a center tapped winding. Unipolar drive uses a less complex,
less expensive driver circuit. The additional cost of bipolar drive is
justified when more torque is required.
The step angle for a given stepper motor geometry is cut in half with
half step drive. This corresponds to twice as many step pulses
per revolution. (Figure below) Half stepping provides greater resolution
in positioning of the motor shaft. For example, half stepping the motor
moving the print head across the paper of an inkjet printer would double
the dot density.

Half step, bipolar drive.
Half step drive is a combination of wave drive and full step drive
with one winding energized, followed by both windings energized,
yielding twice as many steps. The unipolar waveforms for half step drive
are shown above. The rotor aligns with the field poles as for wave drive
and between the poles as for full step drive.
Microstepping is possible with specialized controllers. By varying
the currents to the windings sinusoidally many microsteps can be
interpolated between the normal positions.
The construction of a permanent magnet stepper motor is considerably
different from the drawings above. It is desirable to increase the
number of poles beyond that illustrated to produce a smaller step angle.
It is also desirable to reduce the number of windings, or at least not
increase the number of windings for ease of manufacture.

Permanent magnet stepper motor, 24-pole can-stack
construction.
The permanent magnet stepper (Figure above) only has two windings,
yet has 24-poles in each of two phases. This style of construction is
known as can stack. A phase winding is wrapped with a mild steel
shell, with fingers brought to the center. One phase, on a transient
basis, will have a north side and a south side. Each side wraps around
to the center of the doughnut with twelve interdigitated fingers for a
total of 24 poles. These alternating north-south fingers will attract
the permanent magnet rotor. If the polarity of the phase were reversed,
the rotor would jump 360o/24 = 15o. We do not know
which direction, which is not useful. However, if we energize ?-1
followed by ?-2, the rotor will move 7.5o because the ?-2 is
offset (rotated) by 7.5o from ?-1. See below for offset. And,
it will rotate in a reproducible direction if the phases are alternated.
Application of any of the above waveforms will rotate the permanent
magnet rotor.
Note that the rotor is a gray ferrite ceramic cylinder magnetized in
the 24-pole pattern shown. This can be viewed with magnet viewer film or
iron filings applied to a paper wrapping. Though, the colors will be
green for both north and south poles with the film.

(a) External view of can stack, (b) field offset
detail.
Can-stack style construction of a PM stepper is distinctive and easy
to identify by the stacked “cans”. (Figure above) Note the rotational
offset between the two phase sections. This is key to making the rotor
follow the switching of the fields between the two phases.
Summary: permanent magnet stepper motor
- The rotor is a permanent magnet, often a
ferrite sleeve magnetized with numerous poles.
- Can-stack construction provides numerous
poles from a single coil with interleaved fingers of soft iron.
- Large to moderate step angle.
- Often used in computer printers to advance paper.
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