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A variation of the synchro transmitter is the control transformer.
It has three equally spaced stator windings like a TX. Its rotor is
wound with more turns than a transmitter or receiver to make it more
sensitive at detecting a null as it is rotated, typically, by a servo
system. The CT (Control Transformer) rotor output is zero when it is
oriented at a angle right angle to the stator magnetic field vector.
Unlike a TX or RX, the CT neither transmits nor receives torque. It is
simply a sensitive angular position detector.

Control transformer (CT) detects servo null.
In Figure above, the shaft of the TX is set to the desired position
of the radar antenna. The servo system will cause the servo motor to
drive the antenna to the commanded position. The CT compares the
commanded to actual position and signals the servo amplifier to drive
the motor until that commanded angle is achieved.

Servo uses CT to sense antenna position null
When the control transformer rotor detects a null at 90o
to the axis of the stator field, there is no rotor output. Any rotor
displacement produces an AC error voltage proportional to displacement.
A servo (Figure above) seeks to minimize the error between a
commanded and measured variable due to negative feedback. The control
transformer compares the shaft angle to the the stator magnetic field
angle, sent by the TX stator. When it measures a minimum, or null, the
servo has driven the antenna and control transformer rotor to the
commanded position. There is no error between measured and commanded
position, no CT, control transformer, output to be amplified. The
servo motor, a 2-phase motor, stops rotating. However, any CT
detected error drives the amplifier which drives the motor until the
error is minimized. This corresponds to the servo system having driven
the antenna coupled CT to match the angle commanded by the TX.
The servo motor may drive a reduction gear train and be large
compared to the TX and CT synchros. However, the poor efficiency of AC
servo motors limits them to smaller loads. They are also difficult to
control since they are constant speed devices. However, they can be
controlled to some extent by varying the voltage to one phase with line
voltage on the other phase. Heavy loads are more efficiently driven by
large DC servo motors.
Airborne applications use 400Hz components-- TX, CT, and servo motor.
Size and weight of the AC magnetic components is inversely proportional
to frequency. Therefore, use of 400 Hz components for aircraft
applications, like moving control surfaces, saves size and weight.
A resolver (Figure below) has two stator winding placed at 90o
to each other, and a single rotor winding driven by alternating current.
A resolver is used for polar to rectangular conversion. An angle input
at the rotor shaft produces rectangular co-ordinates sinθ and cosθ
proportional voltages on the stator windings.
Resolver converts shaft angle to sine and cosine of
angle.
For example, a black-box within a radar encodes the distance to a
target as a sine wave proportional voltage V, with the bearing angle as
a shaft angle. Convert to X and Y co-ordinates. The sine wave is fed to
the rotor of a resolver. The bearing angle shaft is coupled to the
resolver shaft. The coordinates (X, Y) are available on the resolver
stator coils:
X=V(cos(∠bearing))
Y=V(sin(∠bearing))
The Cartesian coordinates (X, Y) may be plotted on a map display.
A TX (torque transmitter) may be adapted for service as a resolver.
(Figure below)

Scott-T converts 3-φ to 2-φ enabling TX to perform
resolver function.
It is possible to derive resolver-like quadrature angular components
from a synchro transmitter by using a Scott-T transformer. The
three TX outputs, 3-phases, are processed by a Scott-T
transformer into a pair of quadrature components.
There is also a linear version of the resolver known as an
inductosyn. The rotary version of the inductosyn has a finer
resolution than a resolver.
Summary: Selsyn (synchro) motors
- A synchro, also known as a selsyn, is a rotary
transformer used to transmit shaft torque.
- A TX, torque transmitter, accepts a torque input at its
shaft for transmission on three-phase electrical outputs.
- An RX, torque receiver, accepts a three-phase electrical
representation of an angular input for conversion to a torque output
at its shaft. Thus, TX transmits a torque form an input shaft to a
remote RX output shaft.
- A TDX, torque differential transmitter, sums an electrical
angle input with a shaft angle input producing an electrical angle
output
- A TDR, torque differential receiver, sums two electrical
angle inputs producing a shaft angle output
- A CT, control transformer, detects a null when the rotor is
positioned at a right angle to the stator angle input. A CT is
typically a component of a servo-- feedback system.
- A Resolver outputs a quadrature sinθ and cosine(theta)
representation of the shaft angle input instead of a three-phase
output.
- The three-phase output of a TX is converted to a resolver style
output by a Scott-T transformer.
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