**Schrage motor** is essentially a combination of wound rotor induction motor and frequency convertor. Schrage motor can be treated as an inverted poly phase induction motor. Unlike induction motor the primary winding of Schrage motor is on the rotor. Three phase supply is given to the primary with the help of 3 slip rings. The secondary winding is on the stator. Apart from primary and secondary there is a third type of winding called as tertiary winding which is connected to the commutator. The primary and tertiary are housed in the same rotor slots and are mutually coupled. The secondary winding terminals are connected to the commutator via three sets of movable brushes A_{1}A_{2}, B_{1}B_{2} and C_{1}C_{2}. The brush position can be changed by a wheel provided at the back of motor. The angular displacement between the brushes determines the injected emf into the secondary winding which is required for speed and power factor control.

## Operation Principle of Schrage Motor

At standstill conditions due to three phase currents flowing in the primary winding a rotating field is produced. This rotating field cuts the secondary with a synchronous speed n_{s}.

Therefore according to Lenz’s law the rotor will rotate in a direction so as to oppose the cause i.e. to induce slip frequency emfs into secondary. Therefore the rotor rotates opposite to the direction of rotation of synchronously rotating field. Now air gap field is rotating at slip speed n_{s} – n_{r} with respect to secondary. Therefore the emf collected by the stationary brushes is at slip frequency and hence suitable for injection into secondary.

## Speed Control of Schrage Motor

**Speed control of schrage motor** is possible by varying the injected emf into the motor which can be controlled by changing the angular displacement between the two brushes. To understand the speed control of schrage motor let us understand the speed control in WRIMs using injected emf method.

Consider the following rotor circuits (values are only for illustration purpose).

Let initially electrical torque (T_{e}) = load torque (T_{l}) = 2Nm

Rotor current I_{r} = 2A.

Let sE_{2} = slip emf induced in the rotor ckt.

And E_{j} = emf injected in the rotor ckt.

Case 1: When E_{j} is in phase opposition to sE_{2}

Now the rotor current becomes I_{r} = 1A. Therefore T_{e} < T_{l} due to which motor decelerates. Therefore ω_{r} decreases. That implies slip increases. Therefore ω_{r} decreases till sE_{2} becomes 15V and I_{r} = 2A i.e till T_{e} = T_{l} again.

Case 2: When E_{j} is in phase with sE_{2}

Now the rotor current becomes 3A. Therefore T_{e} > T_{l} due to which motor accelerates. Therefore ω_{r} increases. That implies slip decreases. Therefore ω_{r} increases till sE_{2} becomes 5V and I_{r} = 2A i.e till T_{e} = T_{l} again.

From the above analysis it can be seen that to increase speed the injected emf should be in phase with slip emf in the rotor. To decrease speed the injected emf should be out of phase with the slip emf in the rotor.

Now based on the above principles we shall take a look at the speed control of schrage motor.

In the above figure

E_{20} = standstill emf induced in the secondary.

sE_{20} = induced emf at any slip s.

a, b = brush terminals.

In fig (a) both the brushes are connected to the same commutator segment and hence are short circuited. The injected emf in this case is zero. Therefore rotor rotates with speed close to synchronous speed.

In fig(b) the brushes a and b are separated by an angular displacement θ such that the tertiary winding axis between brushes a and b is coincident with secondary winding axis. Now on tracing the path BAabB we find that injected emf E_{j} is in phase opposition to E_{20}. Therefore from above discussed principles speed of the motor shall decrease from what it was in case a. Hence the motor operates at sub synchronous speeds i.e. n_{r} < n_{s}.

In fig(c) the brush positions are interchanged. Now on tracing the path BAabB we find that the injected emf is in phase with the standstill emf E_{20}. Therefore speed of motor should increase from what it was in case a. Hence the motor operates at super synchronous speed i.e. n_{r} > n_{s}.

For any brush separation θ the injected emf is given by

From the equation it can be seen that minimum value of injected emf E_{j} = 0 at θ = 0 (i.e. when the brushes are short circuited). And maximum value of injected emf is E_{j} = E_{jmax} at θ = 90 degrees (i.e. when the brushes are one pole pitch apart).

## Power Factor Control

To improve power factor an angular displacement of ρ is introduced between tertiary winding axis and secondary winding axis. Now flux φ cuts the tertiary winding axis some time later after it has covered an angular displacement of ρ degrees. Therefore emf phasor – E_{j} in this case lags the emf phasor – E_{j} in case b by an angle ρ.

The phasor diagram for the two cases is as shown below

The phasor diagram has been constructed based on the following equations:

I_{2} lags I_{2}Z_{2} by some angle θ. I_{2}’ is draw opposite to I_{2}. The resultant of I_{2}’ and magnetizing current I_{0} gives the primary current I_{1}.

From the phasor diagram it is clear that if the tertiary winding axis and secondary winding axis are displaced by an angle ρ then power factor improves.

## Characteristics of Schrage Motor

If we apply KVL to secondary circuit then we get

Under no load conditions I_{2} value is very small and hence the can be neglected.

Therefore we have,

Where, s_{0} is the no load slip

Where,

E_{jmax} is the transformer emf induced in the Tertiary winding.

φ_{m} = max flux linkage

f_{s} = supply frequency

Z = number of conductors in tertiary

A = number of parallel paths

Also

Where,

E_{20} = the transformer emf induced in the secondary.

N_{2}’ = effective number of turns in the secondary

Now on substituting these values in the expression of no load slip we get

This implies values of slip depend completely on machine constants and the brush separation.

This shows that two different speeds are possible at no load depending on the phase of injected emf. The magnitude of these speeds can be controlled by adjusting the brush separation.

Under load conditions

Applications

Used in drives requiring variable speed such as cranes, fan, centrifugal pumps, conveyors etc.