Maximum Torque in Induction Motor Drives Calculator

✖Synchronous speed's back EMF is directly proportional to the speed of the motor, so as the motor speed increases, the back EMF also increases.ⓘ Synchronous Speed [ω_s]			+10% -10%
✖The terminal voltage of a DC machine is the voltage that is available at the terminals of the machine. It is the voltage that is applied to the load.ⓘ Terminal Voltage [V₁]			+10% -10%
✖Stator Resistance of a DC machine is the resistance of the stator windings .The stator resistance is a key parameter that affects the performance of a DC machine.ⓘ Stator Resistance [r₁]			+10% -10%
✖The stator leakage reactance (X1) of a DC machine is the opposition to the change in flux linkages produced by the stator windings.ⓘ Stator Leakage Reactance [x₁]			+10% -10%
✖Rotor Leakage Reactance (X2) of a DC machine is the opposition to the change in flux linkages produced by the rotor windings.ⓘ Rotor Leakage Reactance [x₂]			+10% -10%

✖The maximum torque that a DC drive can produce is determined by the electrical and mechanical characteristics of the DC motor.ⓘ Maximum Torque in Induction Motor Drives [ζ_max]

⎘ Copy

👎

Formula

✖

Maximum Torque in Induction Motor Drives

Formula

`"ζ"_{"max"} = (3/(2*"ω"_{"s"}))*("V"_{"1"}^2)/("r"_{"1"}+sqrt("r"_{"1"}^2+("x"_{"1"}+"x"_{"2"})^2))`

Example

`"127.8202N*m"=(3/(2*"157m/s"))*(("230V")^2)/("0.6Ω"+sqrt(("0.6Ω")^2+("1.6Ω"+"1.7Ω")^2))`

Calculator

LaTeX

Reset

👍

Download DC Drives Formulas PDF PDF Image

Maximum Torque in Induction Motor Drives Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Torque = (3/(2*Synchronous Speed))*(Terminal Voltage^2)/(Stator Resistance+sqrt(Stator Resistance^2+(Stator Leakage Reactance+Rotor Leakage Reactance)^2))
ζ_max = (3/(2*ω_s))*(V₁^2)/(r₁+sqrt(r₁^2+(x₁+x₂)^2))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Maximum Torque - (Measured in Newton Meter) - The maximum torque that a DC drive can produce is determined by the electrical and mechanical characteristics of the DC motor.
Synchronous Speed - (Measured in Meter per Second) - Synchronous speed's back EMF is directly proportional to the speed of the motor, so as the motor speed increases, the back EMF also increases.
Terminal Voltage - (Measured in Volt) - The terminal voltage of a DC machine is the voltage that is available at the terminals of the machine. It is the voltage that is applied to the load.
Stator Resistance - (Measured in Ohm) - Stator Resistance of a DC machine is the resistance of the stator windings .The stator resistance is a key parameter that affects the performance of a DC machine.
Stator Leakage Reactance - (Measured in Ohm) - The stator leakage reactance (X1) of a DC machine is the opposition to the change in flux linkages produced by the stator windings.
Rotor Leakage Reactance - (Measured in Ohm) - Rotor Leakage Reactance (X2) of a DC machine is the opposition to the change in flux linkages produced by the rotor windings.

STEP 1: Convert Input(s) to Base Unit

Synchronous Speed: 157 Meter per Second --> 157 Meter per Second No Conversion Required
Terminal Voltage: 230 Volt --> 230 Volt No Conversion Required
Stator Resistance: 0.6 Ohm --> 0.6 Ohm No Conversion Required
Stator Leakage Reactance: 1.6 Ohm --> 1.6 Ohm No Conversion Required
Rotor Leakage Reactance: 1.7 Ohm --> 1.7 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ_max = (3/(2*ω_s))*(V₁^2)/(r₁+sqrt(r₁^2+(x₁+x₂)^2)) --> (3/(2*157))*(230^2)/(0.6+sqrt(0.6^2+(1.6+1.7)^2))

Evaluating ... ...

ζ_max = 127.820176882848

STEP 3: Convert Result to Output's Unit

127.820176882848 Newton Meter --> No Conversion Required

FINAL ANSWER

127.820176882848 ≈ 127.8202 Newton Meter <-- Maximum Torque

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power Electronics » DC Drives » Three Phase Drives » Maximum Torque in Induction Motor Drives

Credits

Created by Mohamed Fazil V

Acharya institute of technology (AIT), Bengaluru

Mohamed Fazil V has created this Calculator and 50+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ more calculators!

< 5 Three Phase Drives Calculators

Maximum Torque in Induction Motor Drives

Go Maximum Torque = (3/(2*Synchronous Speed))*(Terminal Voltage^2)/(Stator Resistance+sqrt(Stator Resistance^2+(Stator Leakage Reactance+Rotor Leakage Reactance)^2))

Average Armature Voltage of Three Phase Full-Converter Drives

Go Full Drive Armature Voltage in Three Phase = (3*sqrt(3)*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi

Average Field Voltage of Three Phase Semi-Converter Drive

Go Semi Drive Field Voltage in Three Phase = (3*Peak Input Voltage*(1+cos(Delay Angle of Thyristor)))/(2*pi)

Armature Terminal Voltage in Half-Wave Converter Drives

Go Average Output Voltage = ((3*Maximum Line Voltage)/(2*pi))*cos(Delay Angle of Thyristor)

Air Gap Power in Three Phase Induction Motor Drives

Go Air Gap Power = 3*Rotor Current^2*(Rotor Resistance/Slip)

Maximum Torque in Induction Motor Drives Formula

What is Maximum Torque in Induction Motor Drives ?

The maximum torque in an induction motor drive is the highest torque that the motor can produce without exceeding its design limits. It is typically expressed as a percentage of the motor's rated torque.
The maximum torque of an induction motor is a key parameter that must be considered when selecting a motor for a particular application. The maximum torque must be sufficient to meet the torque requirements of the application.

How to Calculate Maximum Torque in Induction Motor Drives?

Maximum Torque in Induction Motor Drives calculator uses Maximum Torque = (3/(2*Synchronous Speed))*(Terminal Voltage^2)/(Stator Resistance+sqrt(Stator Resistance^2+(Stator Leakage Reactance+Rotor Leakage Reactance)^2)) to calculate the Maximum Torque, Maximum Torque in Induction Motor Drives refers to the highest level of torque that an induction motor can produce while maintaining stable and efficient operation. This maximum torque is also known as the "pull-out torque" or "breakdown torque" and is a crucial parameter to consider in induction motor applications. Maximum Torque is denoted by ζ_max symbol.

How to calculate Maximum Torque in Induction Motor Drives using this online calculator? To use this online calculator for Maximum Torque in Induction Motor Drives, enter Synchronous Speed (ω_s), Terminal Voltage (V₁), Stator Resistance (r₁), Stator Leakage Reactance (x₁) & Rotor Leakage Reactance (x₂) and hit the calculate button. Here is how the Maximum Torque in Induction Motor Drives calculation can be explained with given input values -> 127.8202 = (3/(2*157))*(230^2)/(0.6+sqrt(0.6^2+(1.6+1.7)^2)).

FAQ

What is Maximum Torque in Induction Motor Drives?

Maximum Torque in Induction Motor Drives refers to the highest level of torque that an induction motor can produce while maintaining stable and efficient operation. This maximum torque is also known as the "pull-out torque" or "breakdown torque" and is a crucial parameter to consider in induction motor applications and is represented as ζ_max = (3/(2*ω_s))*(V₁^2)/(r₁+sqrt(r₁^2+(x₁+x₂)^2)) or Maximum Torque = (3/(2*Synchronous Speed))*(Terminal Voltage^2)/(Stator Resistance+sqrt(Stator Resistance^2+(Stator Leakage Reactance+Rotor Leakage Reactance)^2)). Synchronous speed's back EMF is directly proportional to the speed of the motor, so as the motor speed increases, the back EMF also increases, The terminal voltage of a DC machine is the voltage that is available at the terminals of the machine. It is the voltage that is applied to the load, Stator Resistance of a DC machine is the resistance of the stator windings .The stator resistance is a key parameter that affects the performance of a DC machine, The stator leakage reactance (X1) of a DC machine is the opposition to the change in flux linkages produced by the stator windings & Rotor Leakage Reactance (X2) of a DC machine is the opposition to the change in flux linkages produced by the rotor windings.

How to calculate Maximum Torque in Induction Motor Drives?

Maximum Torque in Induction Motor Drives refers to the highest level of torque that an induction motor can produce while maintaining stable and efficient operation. This maximum torque is also known as the "pull-out torque" or "breakdown torque" and is a crucial parameter to consider in induction motor applications is calculated using Maximum Torque = (3/(2*Synchronous Speed))*(Terminal Voltage^2)/(Stator Resistance+sqrt(Stator Resistance^2+(Stator Leakage Reactance+Rotor Leakage Reactance)^2)). To calculate Maximum Torque in Induction Motor Drives, you need Synchronous Speed (ω_s), Terminal Voltage (V₁), Stator Resistance (r₁), Stator Leakage Reactance (x₁) & Rotor Leakage Reactance (x₂). With our tool, you need to enter the respective value for Synchronous Speed, Terminal Voltage, Stator Resistance, Stator Leakage Reactance & Rotor Leakage Reactance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search