Torque of Squirrel Cage Induction Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Torque = (Constant*(Voltage^2)*Rotor resistance) /((Resistance+Rotor resistance)^2+(Stator reactance+Rotor reactance)^2)
TS = (K*(V^2)*RL) /((R1+RL)^2+(X1+XL)^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.
Resistance - (Measured in Ohm) - 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: 0.11 --> No Conversion Required
Voltage: 200 Volt --> 200 Volt No Conversion Required
Rotor resistance: 10.1 Ohm --> 10.1 Ohm No Conversion Required
Resistance: 11 Ohm --> 11 Ohm No Conversion Required
Stator reactance: 42.5 Ohm --> 42.5 Ohm No Conversion Required
Rotor reactance: 45 Ohm --> 45 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TS = (K*(V^2)*RL) /((R1+RL)^2+(X1+XL)^2) --> (0.11*(200^2)*10.1) /((11+10.1)^2+(42.5+45)^2)
Evaluating ... ...
TS = 5.48543102107521
STEP 3: Convert Result to Output's Unit
5.48543102107521 Newton Meter --> No Conversion Required
FINAL ANSWER
5.48543102107521 Newton Meter <-- Torque
(Calculation completed in 00.031 seconds)

Credits

Created by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
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8 Electric Drives Calculators

Torque generated by Scherbius Drive

Torque generated by Scherbius Drive

Formula
`"T"_{"S"} = 1.35*(("E"_{"b"}*"E"_{"L"}*"I"_{"d"}*"E"_{"r"})/("E"_{"b"}*"ω"_{"s"}))`

Example
`"5408.405N*m"=1.35*(("159.538V"*"120V"*"2.2A"*"156V")/("159.538V"*"10.28r/s"))`

Calculator
LaTeX
Go Torque = 1.35*((Average back emf voltage*Ac line voltage*Rectified Rotor Current*RMS value of Rotor side line voltage)/(Average back emf voltage*Angular Frequency))
Torque of Squirrel Cage Induction Motor

Torque of Squirrel Cage Induction Motor

Formula
`"T"_{"S"} = ("K"*("V"^2)*"R"_{"L"}) /(("R"_{"1"}+"R"_{"L"})^2+("X"_{"1"}+"X"_{"L"})^2)`

Example
`"5.485431N*m"=("0.11"*("200V"^2)*"10.1Ω") /(("11Ω"+"10.1Ω")^2+("42.5Ω"+"45Ω")^2)`

Calculator
LaTeX
Go Torque = (Constant*(Voltage^2)*Rotor resistance) /((Resistance+Rotor resistance)^2+(Stator reactance+Rotor reactance)^2)
Slip of Scherbius Drive given RMS Line Voltage

Slip of Scherbius Drive given RMS Line Voltage

Formula
`"s" = ("E"_{"b"}/"E"_{"r"})*"modulus"(cos("α"))`

Example
`"1.007143"=("159.538V"/"156V")*"modulus"(cos("10°"))`

Calculator
LaTeX
Go Slip = (Average back emf voltage/RMS value of Rotor side line voltage)*modulus(cos(Firing angle))
DC Output Voltage of Rectifier in Scherbius drive given Rotor RMS Line Voltage

DC Output Voltage of Rectifier in Scherbius drive given Rotor RMS Line Voltage

Formula
`"E"_{"DC"} = (3*sqrt(2))*("E"_{"r"}/pi)`

Example
`"210.674V"=(3*sqrt(2))*("156V"/pi)`

Calculator
LaTeX
Go DC Voltage = (3*sqrt(2))*(RMS value of Rotor side line voltage/pi)
Average Back emf with negligible commutation overlap

Average Back emf with negligible commutation overlap

Formula
`"E"_{"b"} = 1.35*"E"_{"L"}*cos("α") `

Example
`"159.5389V"=1.35*"120V"*cos("10°") `

Calculator
LaTeX
Go Average back emf voltage = 1.35*Ac line voltage*cos(Firing angle)
Gear Tooth Ratio

Gear Tooth Ratio

Formula
`"a" = ("n"_{"1"}/"n"_{"2"})`

Example
`"3"=("60"/"20")`

Calculator
LaTeX
Go Gear Tooth Ratio = (No. of Teeth of Driving Gear/No. of Teeth of Driven Gear)
DC Output Voltage of Rectifier in Scherbius drive given Rotor RMS Line Voltage at Slip

DC Output Voltage of Rectifier in Scherbius drive given Rotor RMS Line Voltage at Slip

Formula
`"E"_{"DC"} = 1.35*"E"_{"rs"}`

Example
`"210.897V"=1.35*"156.22V"`

Calculator
LaTeX
Go DC Voltage = 1.35*RMS value of Rotor side line voltage with slip
DC Output Voltage of Rectifier in Scherbius drive given Maximum Rotor Voltage

DC Output Voltage of Rectifier in Scherbius drive given Maximum Rotor Voltage

Formula
`"E"_{"DC"} = 3*("E"_{"rm"}/pi)`

Example
`"210.0845V"=3*("220V"/pi)`

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

Torque of Squirrel Cage Induction Motor Formula

Torque = (Constant*(Voltage^2)*Rotor resistance) /((Resistance+Rotor resistance)^2+(Stator reactance+Rotor reactance)^2)
TS = (K*(V^2)*RL) /((R1+RL)^2+(X1+XL)^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) /((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 TS 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 (V), Rotor resistance (RL), Resistance (R1), Stator reactance (X1) & Rotor reactance (XL) and hit the calculate button. Here is how the Torque of Squirrel Cage Induction Motor calculation can be explained with given input values -> 5.485431 = (0.11*(200^2)*10.1) /((11+10.1)^2+(42.5+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 TS = (K*(V^2)*RL) /((R1+RL)^2+(X1+XL)^2) or Torque = (Constant*(Voltage^2)*Rotor resistance) /((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, 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) /((Resistance+Rotor resistance)^2+(Stator reactance+Rotor reactance)^2). To calculate Torque of Squirrel Cage Induction Motor, you need Constant (K), Voltage (V), Rotor resistance (RL), Resistance (R1), Stator reactance (X1) & Rotor reactance (XL). With our tool, you need to enter the respective value for Constant, Voltage, Rotor resistance, 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, Resistance, Stator reactance & Rotor reactance. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Torque = 1.35*((Average back emf voltage*Ac line voltage*Rectified Rotor Current*RMS value of Rotor side line voltage)/(Average back emf voltage*Angular Frequency))
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