Synchronous Motor Torque-Speed Characteristic Curve

Hello friends, I hope all of you are fine. In today’s tutorial, we are gonna have a look at Synchronous Motor Torque-Speed Characteristic Curve. The most important feature of a synchronous motor is that it provides constant speed during its operation. The speed of the motor depends on the number of poles and frequency of the supply connected with it. Load variation in induction motor does not affect motor highly but the load variation in synchronous motor effect the working of motor greatly. Load variation produced hunting (when sudden load varied on rotor, it starts vibrating across its axis and find a new location for stability this process called Hunting) in a rotor of motor and due to this fact stability of motor also disturbs.

In today’s post, we will have a look at relation between torque and speed of synchronous motor and also study effect of load variation on motor. So let’s get started with Synchronous Motor Torque-Speed Characteristic Curve.

Synchronous Motor Torque-Speed Characteristic Curve

• Synchronous motor provides power to such loads that operate at constant speed and system.
• Mostly this motor is connected with large power systems so these power systems behaves like large infinity bus bars for motor and the variation in motor has no effect on these bus bars.

• That means how much power motor takes from the power system there will be no effect on the frequency and output voltage of system.
• The rotating speed of motor is interlocked with the frequency of system due to this speed of motor remains constant irrespective of load varied on motor.
• The given figure shows a relation among the torque and speed of motor connected with the large power system.

• We can see from the above-given figure that the speed of motor remains constant from no load to maximum load connected with it. The speed regulation of motor is also zero.

SR =(n_nl-n_fl)n_fl x 100%

SR = 0%

• The equation of torque will be given as.

t_ind =kB_RB_netsinδ

t_ind= (3V_øE_Asinδ)/w_mX_s

• When the angle is δ=90^o then maximum torque exits. Normally torque, when a full load is connected, has very less value.
• In fact, the pullout torque can be three times the full-load torque of a motor.
• When the torque on the motor’s shaft larger than the pullout torque then the rotor will come out the effect of field of stator do not remain interlocked with it.

• When rotor gets out from the effect of stator it starts to slow down and the direction of torque produced in it also reverses and the field of stator laps it continuously.
• The resultant enormous torque produces, first in one direction and then the other direction, due to this the motor starts vibration harshly.
• The loss of harmonization (synchronization) when the pullout torque increases are called slipping poles.

The equation for a maximum of pullout torque of a motor is mentioned here.

t_max =kB_RB_net

t_max= (3V_øE_A)/w_mX_s

• From these equations, we can conclude that with the increment in field current internal generated voltage E_A increases that also causes to increment in the maximum torque.
• So if the motor operates at high field current then there will be high stability for the motor.

Effect of Load Changes on a Synchronous Motor

• To find the effect of load variation let’s suppose that the motor’s shaft is connected with capacitive load.
• If we increase load connected with the shaft of motor due to increment in load speed of rotor rotation also decreases.
• Due to this angle of torque induce also becomes larger (δ) so the torque the value of induced torque also increases.
• The increment in the value of torque induced also increases the speed of rotor again, now motor again rotating at synchronous speed but having a high value of angle of torque (δ).
• The given diagram shows the phasor diagram of load connected with the motor when there is no change in load.

• The internal generated voltage E_A of motor is (køw) in this case, so these voltage depend on the field current and rotation speed of the motor.
• As the speed control by the input supply and circuitry of field also not disturb by any external fact so field current is also constant with the speed that is constant due to input supply constant behavior.

• So internal generated voltage should remain constant as load varies.
• But when load varies internal voltage (E_A) abruptly decreases as shown in a given figure.

• As internal voltage decreases the jX_SI_A will increase to reach Vø from the E_A so the value of current passing through armature winding also increases (I_A).
• You can also observe from a figure that the P.F angle (ø) also varies first it becomes less leading then more lagging.

That’s all about Synchronous Motor Torque-Speed Characteristic Curve I have mentioned each and everything related to Synchronous Motor Torque-Speed Characteristic Curve. If you have any questions and query can ask in comments. See you in the next tutorial Types of Synchronous Motor.

• I also have written some related articles you can also read them are listed here.I
• Introduction to Synchronous Motor
• Synchronous Motor Torque-Speed Characteristic Curve
• Synchronous Motor Starting Method
• What is Synchronous Condenser (Capacitor)
• Synchronous Motor Power Correction. 
• Types of Synchronous Motor
• Effect of Field Current Changes on a Synchronous Motor.