Pull Out Torque in Synchronous Motor Calculator

✖Terminal Voltage is defined as the voltage developed at the terminal of the phase of a synchronous machine.ⓘ Terminal Voltage [V_Φ]			+10% -10%
✖Internal Generated Voltage is defined as the voltage which is generated internally in any synchronous machine and does not appear at the terminal of the machine.ⓘ Internal Generated Voltage [E_a]			+10% -10%
✖Motor Speed is defined as the speed at which the rotor of a motor rotates.ⓘ Motor Speed [N_m]			+10% -10%
✖Synchronous Reactance is defined as the sum of Armature Reactance and the Leakage Reactance of a synchronous machine.ⓘ Synchronous Reactance [X_s]			+10% -10%

✖Torque is defined as the measure of the force that can cause an object to rotate about an axis. It is induced due to the interaction of rotor and stator magnetic field.ⓘ Pull Out Torque in Synchronous Motor [τ]

⎘ Copy

👎

Formula

✖

Pull Out Torque in Synchronous Motor

Formula

`"τ" = (3*"V"_{"Φ"}*"E"_{"a"})/(9.55*"N"_{"m"}*"X"_{"s"})`

Example

`"0.034575N*m"=(3*"28.75V"*"25.55V")/(9.55*"13560rev/min"*"4.7Ω")`

Calculator

LaTeX

Reset

👍

Download Synchronous Motor Formula PDF PDF Image

Pull Out Torque in Synchronous Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque = (3*Terminal Voltage*Internal Generated Voltage)/(9.55*Motor Speed*Synchronous Reactance)
τ = (3*V_Φ*E_a)/(9.55*N_m*X_s)
This formula uses 5 Variables

Variables Used

Torque - (Measured in Newton Meter) - Torque is defined as the measure of the force that can cause an object to rotate about an axis. It is induced due to the interaction of rotor and stator magnetic field.
Terminal Voltage - (Measured in Volt) - Terminal Voltage is defined as the voltage developed at the terminal of the phase of a synchronous machine.
Internal Generated Voltage - (Measured in Volt) - Internal Generated Voltage is defined as the voltage which is generated internally in any synchronous machine and does not appear at the terminal of the machine.
Motor Speed - (Measured in Radian per Second) - Motor Speed is defined as the speed at which the rotor of a motor rotates.
Synchronous Reactance - (Measured in Ohm) - Synchronous Reactance is defined as the sum of Armature Reactance and the Leakage Reactance of a synchronous machine.

STEP 1: Convert Input(s) to Base Unit

Terminal Voltage: 28.75 Volt --> 28.75 Volt No Conversion Required
Internal Generated Voltage: 25.55 Volt --> 25.55 Volt No Conversion Required
Motor Speed: 13560 Revolution per Minute --> 1419.99987935028 Radian per Second (Check conversion here)
Synchronous Reactance: 4.7 Ohm --> 4.7 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (3*V_Φ*E_a)/(9.55*N_m*X_s) --> (3*28.75*25.55)/(9.55*1419.99987935028*4.7)

Evaluating ... ...

τ = 0.03457486326144

STEP 3: Convert Result to Output's Unit

0.03457486326144 Newton Meter --> No Conversion Required

FINAL ANSWER

0.03457486326144 ≈ 0.034575 Newton Meter <-- Torque

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Machine » AC Machines » Synchronous Motor » Torque » Pull Out Torque in Synchronous Motor

Credits

Created by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has created this Calculator and 100+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

Aman Dhussawat has verified this Calculator and 100+ more calculators!

< 2 Torque Calculators

Torque Induced in Synchronous Motor

Go Torque = (3*Terminal Voltage*Internal Generated Voltage*sin(Torque Angle))/(9.55*Motor Speed*Synchronous Reactance)

Pull Out Torque in Synchronous Motor

Go Torque = (3*Terminal Voltage*Internal Generated Voltage)/(9.55*Motor Speed*Synchronous Reactance)

< 25 Synchronous Motor Circuit Calculators

Load Current of Synchronous Motor given 3 Phase Mechanical Power

Go Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference))

Power Factor of Synchronous Motor given 3 Phase Mechanical Power

Go Power Factor = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*Load Current)

Distribution Factor in Synchronous Motor

Go Distribution Factor = (sin((Number of Slots*Angular Slot Pitch)/2))/(Number of Slots*sin(Angular Slot Pitch/2))

Load Current of Synchronous Motor using 3 Phase Input Power

Go Load Current = Three Phase Input Power/(sqrt(3)*Load Voltage*cos(Phase Difference))

3 Phase Input Power of Synchronous Motor

Go Three Phase Input Power = sqrt(3)*Load Voltage*Load Current*cos(Phase Difference)

Mechanical Power of Synchronous Motor

Go Mechanical Power = Back EMF*Armature Current*cos(Load Angle-Phase Difference)

Armature Current of Synchronous Motor given 3 Phase Mechanical Power

Go Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance))

Armature Current of Synchronous Motor given Mechanical Power

Go Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)

Power Factor of Synchronous Motor using 3 Phase Input Power

Go Power Factor = Three Phase Input Power/(sqrt(3)*Load Voltage*Load Current)

Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power

Go Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2)

3 Phase Mechanical Power of Synchronous Motor

Go Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance

Phase Angle between Voltage and Armature Current given Input Power

Go Phase Difference = acos(Input Power/(Voltage*Armature Current))

Armature Current of Synchronous Motor given Input Power

Go Armature Current = Input Power/(cos(Phase Difference)*Voltage)

Input Power of Synchronous Motor

Go Input Power = Armature Current*Voltage*cos(Phase Difference)

Armature Resistance of Synchronous Motor given Input Power

Go Armature Resistance = (Input Power-Mechanical Power)/(Armature Current^2)

Magnetic Flux of Synchronous Motor given Back EMF

Go Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed)

Armature Winding Constant of Synchronous Motor

Go Armature Winding Constant = Back EMF/(Magnetic Flux*Synchronous Speed)

Mechanical Power of Synchronous Motor given Input Power

Go Mechanical Power = Input Power-Armature Current^2*Armature Resistance

Power Factor of Synchronous Motor given Input Power

Go Power Factor = Input Power/(Voltage*Armature Current)

Angular Slot Pitch in Synchronous Motor

Go Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2)

Output Power for Synchronous Motor

Go Output Power = Armature Current^2*Armature Resistance

Number of Poles given Synchronous Speed in Synchronous Motor

Go Number of Poles = (Frequency*120)/Synchronous Speed

Synchronous Speed of Synchronous Motor

Go Synchronous Speed = (120*Frequency)/Number of Poles

Synchronous Speed of Synchronous Motor given Mechanical Power

Go Synchronous Speed = Mechanical Power/Gross Torque

Mechanical Power of Synchronous Motor given Gross Torque

Go Mechanical Power = Gross Torque*Synchronous Speed

Pull Out Torque in Synchronous Motor Formula

Torque = (3*Terminal Voltage*Internal Generated Voltage)/(9.55*Motor Speed*Synchronous Reactance)
τ = (3*V_Φ*E_a)/(9.55*N_m*X_s)

How does a synchronous motor work?

Typically, the synchronous motor has a stator with a winding similar to that of an induction motor. Its rotor produces a constant magnetic field, either from a direct current in its windings or by use of permanent magnets. The rotor’s magnetic field tends to align with the rotating field produced by the three-phase alternating currents in the stator.

How to Calculate Pull Out Torque in Synchronous Motor?

Pull Out Torque in Synchronous Motor calculator uses Torque = (3*Terminal Voltage*Internal Generated Voltage)/(9.55*Motor Speed*Synchronous Reactance) to calculate the Torque, The Pull Out Torque in Synchronous Motor formula is defined as as the measure of the force that can cause an object to rotate about an axis. It is induced due to the interaction of rotor and stator magnetic field. Pull out torque is the maximum torque that a synchronous machine can generate. Torque is denoted by τ symbol.

How to calculate Pull Out Torque in Synchronous Motor using this online calculator? To use this online calculator for Pull Out Torque in Synchronous Motor, enter Terminal Voltage (V_Φ), Internal Generated Voltage (E_a), Motor Speed (N_m) & Synchronous Reactance (X_s) and hit the calculate button. Here is how the Pull Out Torque in Synchronous Motor calculation can be explained with given input values -> 0.034575 = (3*28.75*25.55)/(9.55*1419.99987935028*4.7).

FAQ

What is Pull Out Torque in Synchronous Motor?

The Pull Out Torque in Synchronous Motor formula is defined as as the measure of the force that can cause an object to rotate about an axis. It is induced due to the interaction of rotor and stator magnetic field. Pull out torque is the maximum torque that a synchronous machine can generate and is represented as τ = (3*V_Φ*E_a)/(9.55*N_m*X_s) or Torque = (3*Terminal Voltage*Internal Generated Voltage)/(9.55*Motor Speed*Synchronous Reactance). Terminal Voltage is defined as the voltage developed at the terminal of the phase of a synchronous machine, Internal Generated Voltage is defined as the voltage which is generated internally in any synchronous machine and does not appear at the terminal of the machine, Motor Speed is defined as the speed at which the rotor of a motor rotates & Synchronous Reactance is defined as the sum of Armature Reactance and the Leakage Reactance of a synchronous machine.

How to calculate Pull Out Torque in Synchronous Motor?

The Pull Out Torque in Synchronous Motor formula is defined as as the measure of the force that can cause an object to rotate about an axis. It is induced due to the interaction of rotor and stator magnetic field. Pull out torque is the maximum torque that a synchronous machine can generate is calculated using Torque = (3*Terminal Voltage*Internal Generated Voltage)/(9.55*Motor Speed*Synchronous Reactance). To calculate Pull Out Torque in Synchronous Motor, you need Terminal Voltage (V_Φ), Internal Generated Voltage (E_a), Motor Speed (N_m) & Synchronous Reactance (X_s). With our tool, you need to enter the respective value for Terminal Voltage, Internal Generated Voltage, Motor Speed & Synchronous Reactance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Torque?

In this formula, Torque uses Terminal Voltage, Internal Generated Voltage, Motor Speed & Synchronous Reactance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Torque = (3*Terminal Voltage*Internal Generated Voltage*sin(Torque Angle))/(9.55*Motor Speed*Synchronous Reactance)
Torque = (3*Terminal Voltage*Internal Generated Voltage*sin(Torque Angle))/(9.55*Motor Speed*Synchronous Reactance)

Home

FREE PDFs

🔍 Search