IMPORTANT DEFINITIONS IN SINGLE PHASE INDUCTION MOTORS AND SPECIAL MACHINES

Holding Torque


It is defined as the maximum static torque that can be applied to the shaft of an excite motor without causing a continuous rotation.

Detent Torque

It is defined as the maximum static torque that can be applied to the shaft of an unexcited motor without causing a continuous rotation.

Under this torque the rotor comes back to the normal rest position even if excitation ceases. Such positions of the rotor are referred as the detent positions.

Step Angle:

It is defined as the angular displacement of the rotor in response to each input pulse.

Critical Torque:

It is defined as the maximum load torque at which rotor does not move when an exciting winding is ener This is also called pullout torque.

Limiting Torque:

It is defined for a given pulsing rate or stepping rate measured in pulses per second, as the maximum load torque at which motor follows the control pulses without missing any step. This is also called pull in torque.

Synchronous stepping rate:

It is defined as the maximum rate at which the motor can step without missing steps. The motor can start, stop or reverse at this rate.

Slewing rate:

It is defined as the maximum rate at which the motor can step unidirectionally. The slewing rate is much higher than the synchronous stepping rate. Motor will not be able to stop or reverse without missing steps at this rate.

Stepper Motor Characteristics

The Stepper motor characteristics are classified as

1. Static characteristics and
2. Dynamic characteristics


The static are at the stationary position of the motor while the dynamic are under running conditions of the motor.

Static Characteristics

These characteristics include

1. Torque displacement characteristics
2. Torque current characteristics

Torque-displacement characteristics: 

This gives the relationship between electromagnetic torque developed and displacement angle 0 from steady state position. These characteristics are shown in the Fig. 7.16

Torque-current characteristics:

The holding torque of the stepper motor increases with the exciting current. The relationship between the holding torque and the current is called as torque-current characteristics. These characteristics are shown in the Fig.7.17

DYNAMIC CHARACTERISTICS

•     The stepping rate selection is very important in proper controlling of the stepper motor.
•     The dynamic characteristics give the information regarding torque stepping rate. These are also called torque stepping rate curves of the stepper motor. These curves are shown in the Fig. 7.18.
•     When stepping rate increases, rotor gets less time to drive the load from one position to other.
•     If stepping rate is increased beyond certain limit, rotor can not follow the command and starts missing the pulses.
•     Now if the values of load torque and stepping rate are such that point of operation lies to the left of curve I, then motor can start and synchronize without missing a pulse.

•     For example, for a load torque of TL, the stepping rate selection should be less than f so that motor can start and synchronize, without missing a step.

•     But the interesting thing is that once motor has started and synchronized, then stepping rate can be increased e.g. upto f for the above example.
•     Such an increase in stepping rate from f to f is without missing a step and without missing the synchronism. But beyond f if stepping rate is increased, motor will loose its synchronism.

•     So point A as shown in the Fig.7.18 indicates the maximum starting stepping rate or maximum starting frequency.
•     It is defined as the maximum stepping rate with which unloaded motor can start or stop without loosing a single step.
•     While point B as shown in the Fig. 7.18 indicates the maximum slewing frequency. It is defined as the maximum stepping rate which unloaded motor continues to run without missing a step.
•     Thus area between the curves I and II shown hatched indicates, for various torque values, the range of stepping rate which the motor can follow without missing a step, provided that the motor is started and synchronized.
•     This area of operation of the stepper motor is called slew range. The motor is said to be operating in slewing mode.
•     It is important to remember that in a slew range the stepper motor can not be started, stopped or reversed without losing steps.
•     Thus slew range is important for speed control applications. In position control, to get the exact position the motor may be required to be stopped or reversed.

•     But it is not possible in a slew range. Hence slew range is not useful for position control applications.
•     To achieve the operation of the motor in the slew range motor must be accelerated carefully using lower pulse rate.
•     Similarly to stop or reverse the motor without loosing acceleration and deceleration of the stepper motor, without losing any step is called Ramping