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Maximum Torque in Induction Motor Drives Formula

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The maximum torque that a DC drive can produce is determined by the electrical and mechanical characteristics of the DC motor. Check FAQs

ζ max = (\frac{3}{2 \cdot ω s}) \cdot \frac{{V 1}^{2}}{r 1 + \sqrt{{r 1}^{2} + {(x 1 + x 2)}^{2}}}

ζ_max - Maximum Torque?ω_s - Synchronous Speed?V₁ - Terminal Voltage?r₁ - Stator Resistance?x₁ - Stator Leakage Reactance?x₂ - Rotor Leakage Reactance?

Maximum Torque in Induction Motor Drives Example

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Here is how the Maximum Torque in Induction Motor Drives equation looks like with Values.

Here is how the Maximum Torque in Induction Motor Drives equation looks like with Units.

Here is how the Maximum Torque in Induction Motor Drives equation looks like.

127.8202 = (\frac{3}{2 \cdot 157}) \cdot \frac{230^{2}}{0.6 + \sqrt{{0.6}^{2} + {(1.6 + 1.7)}^{2}}}

127.8202N*m = (\frac{3}{2 \cdot 157m/s}) \cdot \frac{{230V}^{2}}{0.6Ω + \sqrt{{0.6Ω}^{2} + {(1.6Ω + 1.7Ω)}^{2}}}

127.8202 = (\frac{3}{2 \cdot 157}) \cdot \frac{230^{2}}{0.6 + \sqrt{{0.6}^{2} + {(1.6 + 1.7)}^{2}}}

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Maximum Torque in Induction Motor Drives Solution

Follow our step by step solution on how to calculate Maximum Torque in Induction Motor Drives?

FIRST Step Consider the formula

ζ max = (\frac{3}{2 \cdot ω s}) \cdot \frac{{V 1}^{2}}{r 1 + \sqrt{{r 1}^{2} + {(x 1 + x 2)}^{2}}}

Next Step Substitute values of Variables

∴

ζ max = (\frac{3}{2 \cdot 157m/s}) \cdot \frac{{230V}^{2}}{0.6Ω + \sqrt{{0.6Ω}^{2} + {(1.6Ω + 1.7Ω)}^{2}}}

Next Step Prepare to Evaluate

∴

ζ max = (\frac{3}{2 \cdot 157}) \cdot \frac{230^{2}}{0.6 + \sqrt{{0.6}^{2} + {(1.6 + 1.7)}^{2}}}

Next Step Evaluate

∴

ζ max = 127.820176882848N*m

LAST Step Rounding Answer

∴

ζ max = 127.8202N*m

Maximum Torque in Induction Motor Drives Formula Elements

Variables

Functions

Maximum Torque

The maximum torque that a DC drive can produce is determined by the electrical and mechanical characteristics of the DC motor.

Symbol: ζ_max

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Maximum Torque

Synchronous Speed

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.

Symbol: ω_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Synchronous Speed

Terminal Voltage

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.

Symbol: V₁

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Terminal Voltage

Stator Resistance

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.

Symbol: r₁

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Stator Resistance

Stator Leakage Reactance

The stator leakage reactance (X1) of a DC machine is the opposition to the change in flux linkages produced by the stator windings.

Symbol: x₁

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Stator Leakage Reactance

Rotor Leakage Reactance

Rotor Leakage Reactance (X2) of a DC machine is the opposition to the change in flux linkages produced by the rotor windings.

Symbol: x₂

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Rotor Leakage Reactance

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.

Syntax: sqrt(Number)

Other formulas in Three Phase Drives category

Go Average Field Voltage of Three Phase Semi-Converter Drive

V f(semi_3p) = \frac{3 \cdot V m \cdot (1 + \cos (α))}{2 \cdot π}

Go Average Armature Voltage of Three Phase Full-Converter Drives

V a(full_3p) = \frac{3 \cdot \sqrt{3} \cdot V m \cdot \cos (α)}{π}

Go Air Gap Power in Three Phase Induction Motor Drives

P g = 3 \cdot {I 2}^{2} \cdot (\frac{r 2}{s})

Go Armature Terminal Voltage in Half-Wave Converter Drives

V o = (\frac{3 \cdot V ml}{2 \cdot π}) \cdot \cos (α)

How to Evaluate Maximum Torque in Induction Motor Drives?

Maximum Torque in Induction Motor Drives evaluator uses Maximum Torque = (3/(2*Synchronous Speed))*(Terminal Voltage^2)/(Stator Resistance+sqrt(Stator Resistance^2+(Stator Leakage Reactance+Rotor Leakage Reactance)^2)) to evaluate 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 evaluate Maximum Torque in Induction Motor Drives using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Torque in Induction Motor Drives

What is the formula to find Maximum Torque in Induction Motor Drives?

The formula of Maximum Torque in Induction Motor Drives is expressed as Maximum Torque = (3/(2*Synchronous Speed))*(Terminal Voltage^2)/(Stator Resistance+sqrt(Stator Resistance^2+(Stator Leakage Reactance+Rotor Leakage Reactance)^2)). Here is an example- 127.8202 = (3/(2*157))*(230^2)/(0.6+sqrt(0.6^2+(1.6+1.7)^2)).

How to calculate Maximum Torque in Induction Motor Drives?

With Synchronous Speed (ω_s), Terminal Voltage (V₁), Stator Resistance (r₁), Stator Leakage Reactance (x₁) & Rotor Leakage Reactance (x₂) we can find Maximum Torque in Induction Motor Drives using the formula - Maximum Torque = (3/(2*Synchronous Speed))*(Terminal Voltage^2)/(Stator Resistance+sqrt(Stator Resistance^2+(Stator Leakage Reactance+Rotor Leakage Reactance)^2)). This formula also uses Square Root (sqrt) function(s).

Can the Maximum Torque in Induction Motor Drives be negative?

No, the Maximum Torque in Induction Motor Drives, measured in Torque cannot be negative.

Which unit is used to measure Maximum Torque in Induction Motor Drives?

Maximum Torque in Induction Motor Drives is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Maximum Torque in Induction Motor Drives can be measured.

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Maximum Torque in Induction Motor Drives Formula

Maximum Torque in Induction Motor Drives Example

Maximum Torque in Induction Motor Drives Solution

Maximum Torque in Induction Motor Drives Formula Elements

Other formulas in Three Phase Drives category

How to Evaluate Maximum Torque in Induction Motor Drives?

FAQs on Maximum Torque in Induction Motor Drives

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