Torque of Squirrel Cage Induction Motor Calculator

✖Constant is a number expressing a property, quantity, or relation that remains unchanged under specified conditions.ⓘ Constant [K]			+10% -10%
✖Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.ⓘ Voltage [E]			+10% -10%
✖Rotor resistance starter, a star connected variable resistance is connected in the rotor circuit through slip-rings.ⓘ Rotor Resistance [R_r]			+10% -10%
✖Stator Resistance in stator winding dc resistance of a three-phase induction motor is measured by connecting a dc voltage source across two stator terminals.ⓘ Stator Resistance [R_s]			+10% -10%
✖Stator reactance is defined as the opposition to the flow of current from a circuit element due to its inductance and capacitance.ⓘ Stator Reactance [X_s]			+10% -10%
✖Rotor Reactance is defined as the opposition to the flow of current from a circuit element due to its inductance and capacitance.ⓘ Rotor Reactance [X_r]			+10% -10%

✖Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.Torque is a vector quantity.ⓘ Torque of Squirrel Cage Induction Motor [τ]

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Formula

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Torque of Squirrel Cage Induction Motor

Formula

`"τ" = ("K"*"E"^2*"R"_{"r"})/(("R"_{"s"}+"R"_{"r"})^2+("X"_{"s"}+"X"_{"r"})^2)`

Example

`"5.339779N*m"=("0.6"*("200V")^2*"2.75Ω")/(("55Ω"+"2.75Ω")^2+("50Ω"+"45Ω")^2)`

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Torque of Squirrel Cage Induction Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)
τ = (K*E^2*R_r)/((R_s+R_r)^2+(X_s+X_r)^2)
This formula uses 7 Variables

Variables Used

Torque - (Measured in Newton Meter) - Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.Torque is a vector quantity.
Constant - Constant is a number expressing a property, quantity, or relation that remains unchanged under specified conditions.
Voltage - (Measured in Volt) - Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.
Rotor Resistance - (Measured in Ohm) - Rotor resistance starter, a star connected variable resistance is connected in the rotor circuit through slip-rings.
Stator Resistance - (Measured in Ohm) - Stator Resistance in stator winding dc resistance of a three-phase induction motor is measured by connecting a dc voltage source across two stator terminals.
Stator Reactance - (Measured in Ohm) - Stator reactance is defined as the opposition to the flow of current from a circuit element due to its inductance and capacitance.
Rotor Reactance - (Measured in Ohm) - Rotor Reactance is defined as the opposition to the flow of current from a circuit element due to its inductance and capacitance.

STEP 1: Convert Input(s) to Base Unit

Constant: 0.6 --> No Conversion Required
Voltage: 200 Volt --> 200 Volt No Conversion Required
Rotor Resistance: 2.75 Ohm --> 2.75 Ohm No Conversion Required
Stator Resistance: 55 Ohm --> 55 Ohm No Conversion Required
Stator Reactance: 50 Ohm --> 50 Ohm No Conversion Required
Rotor Reactance: 45 Ohm --> 45 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (K*E^2*R_r)/((R_s+R_r)^2+(X_s+X_r)^2) --> (0.6*200^2*2.75)/((55+2.75)^2+(50+45)^2)

Evaluating ... ...

τ = 5.33977882393394

STEP 3: Convert Result to Output's Unit

5.33977882393394 Newton Meter --> No Conversion Required

FINAL ANSWER

5.33977882393394 ≈ 5.339779 Newton Meter <-- Torque

(Calculation completed in 00.004 seconds)

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Created by Aman Dhussawat

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Starting Time for Induction Motor under No Load

Go Starting Time For Induction motor on No Load = (-Mechanical Time Constant of Motor/2)*int((Slip/Slip at Maximum Torque+Slip at Maximum Torque/Slip)*x,x,1,0.05)

Torque of Squirrel Cage Induction Motor

Go Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)

Torque Generated by Scherbius Drive

Go Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))

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Motor Terminal Voltage in Regenerative Braking

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Go Equivalent Current = sqrt((1/Time Taken for Complete Operation)*int((Electric Current)^2,x,1,Time Taken for Complete Operation))

Energy Dissipated during Transient Operation

Go Energy Dissipated in Transient Operation = int(Resistance of Motor Winding*(Electric Current)^2,x,0,Time Taken for Complete Operation)

Slip of Scherbius Drive given RMS Line Voltage

Go Slip = (Back Emf/RMS Value of Rotor Side Line Voltage)*modulus(cos(Firing Angle))

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Go DC Voltage = 1.35*RMS Value of Rotor Side Line Voltage with Slip

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Go DC Voltage = 3*(Peak Voltage/pi)

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Torque of Squirrel Cage Induction Motor

Go Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)

Torque Generated by Scherbius Drive

Go Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))

Wheel Force Function

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Go Time for Retardation = Crest Speed/Retardation of Train

Accelerating Weight of Train

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Torque of Squirrel Cage Induction Motor Formula

Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)
τ = (K*E^2*R_r)/((R_s+R_r)^2+(X_s+X_r)^2)

What is a squirrel cage used for?

The main use of a squirrel-cage motor in a home HVAC system is that it powers the blower fan. If you have a forced-air heating system, such as a furnace, and/or an air conditioning system, the squirrel-cage motor is the part that turns the fans that blows the heated and cooled air through the ventilation system.

How to Calculate Torque of Squirrel Cage Induction Motor?

Torque of Squirrel Cage Induction Motor calculator uses Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2) to calculate the Torque, Torque of Squirrel Cage Induction Motor is defined as the starting torque required by an induction motor with a squirrel cage wound rotor. Torque is denoted by τ symbol.

How to calculate Torque of Squirrel Cage Induction Motor using this online calculator? To use this online calculator for Torque of Squirrel Cage Induction Motor, enter Constant (K), Voltage (E), Rotor Resistance (R_r), Stator Resistance (R_s), Stator Reactance (X_s) & Rotor Reactance (X_r) and hit the calculate button. Here is how the Torque of Squirrel Cage Induction Motor calculation can be explained with given input values -> 5.339779 = (0.6*200^2*2.75)/((55+2.75)^2+(50+45)^2).

FAQ

What is Torque of Squirrel Cage Induction Motor?

Torque of Squirrel Cage Induction Motor is defined as the starting torque required by an induction motor with a squirrel cage wound rotor and is represented as τ = (K*E^2*R_r)/((R_s+R_r)^2+(X_s+X_r)^2) or Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2). Constant is a number expressing a property, quantity, or relation that remains unchanged under specified conditions, Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light, Rotor resistance starter, a star connected variable resistance is connected in the rotor circuit through slip-rings, Stator Resistance in stator winding dc resistance of a three-phase induction motor is measured by connecting a dc voltage source across two stator terminals, Stator reactance is defined as the opposition to the flow of current from a circuit element due to its inductance and capacitance & Rotor Reactance is defined as the opposition to the flow of current from a circuit element due to its inductance and capacitance.

How to calculate Torque of Squirrel Cage Induction Motor?

Torque of Squirrel Cage Induction Motor is defined as the starting torque required by an induction motor with a squirrel cage wound rotor is calculated using Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2). To calculate Torque of Squirrel Cage Induction Motor, you need Constant (K), Voltage (E), Rotor Resistance (R_r), Stator Resistance (R_s), Stator Reactance (X_s) & Rotor Reactance (X_r). With our tool, you need to enter the respective value for Constant, Voltage, Rotor Resistance, Stator Resistance, Stator Reactance & Rotor 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 Constant, Voltage, Rotor Resistance, Stator Resistance, Stator Reactance & Rotor Reactance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))
Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))

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