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Air Gap Power in Three Phase Induction Motor Drives Formula

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Air Gap Power Induction Motor three phase drive refers to the power transferred electromagnetically between the stator and rotor of the motor through the air gap. Check FAQs

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

P_g - Air Gap Power?I₂ - Rotor Current?r₂ - Rotor Resistance?s - Slip?

Air Gap Power in Three Phase Induction Motor Drives Example

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Here is how the Air Gap Power in Three Phase Induction Motor Drives equation looks like with Values.

Here is how the Air Gap Power in Three Phase Induction Motor Drives equation looks like with Units.

Here is how the Air Gap Power in Three Phase Induction Motor Drives equation looks like.

21.9348 = 3 \cdot {1.352}^{2} \cdot (\frac{0.4}{0.1})

21.9348W = 3 \cdot {1.352A}^{2} \cdot (\frac{0.4Ω}{0.1})

21.9348 = 3 \cdot {1.352}^{2} \cdot (\frac{0.4}{0.1})

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Air Gap Power in Three Phase Induction Motor Drives Solution

Follow our step by step solution on how to calculate Air Gap Power in Three Phase Induction Motor Drives?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P g = 3 \cdot {1.352A}^{2} \cdot (\frac{0.4Ω}{0.1})

Next Step Prepare to Evaluate

∴

P g = 3 \cdot {1.352}^{2} \cdot (\frac{0.4}{0.1})

Next Step Evaluate

∴

P g = 21.934848W

LAST Step Rounding Answer

∴

P g = 21.9348W

Air Gap Power in Three Phase Induction Motor Drives Formula Elements

Variables

Air Gap Power

Air Gap Power Induction Motor three phase drive refers to the power transferred electromagnetically between the stator and rotor of the motor through the air gap.

Symbol: P_g

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Air Gap Power

Rotor Current

Rotor Current in an induction motor is the current that flows in the rotor windings. It is induced in the rotor windings by the rotating magnetic field produced by the stator windings.

Symbol: I₂

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Rotor Current

Rotor Resistance

Rotor Resistance of a DC machine is the resistance of the rotor windings. The rotor resistance is a key parameter that affects the performance of a DC machine.

Symbol: r₂

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Rotor Resistance

Slip

Slip Three Phase refers to the difference between the synchronous speed of the rotating magnetic field created by the stator windings and the actual rotor speed.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slip

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 Maximum Torque in Induction Motor Drives

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

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 Air Gap Power in Three Phase Induction Motor Drives?

Air Gap Power in Three Phase Induction Motor Drives evaluator uses Air Gap Power = 3*Rotor Current^2*(Rotor Resistance/Slip) to evaluate the Air Gap Power, Air Gap Power in Three Phase Induction Motor Drives refers to the electrical power that is transferred between the stator and rotor of the motor through the air gap between them. This power transfer is essential for the motor's operation and the conversion of electrical energy into mechanical work. Air Gap Power is denoted by P_g symbol.

How to evaluate Air Gap Power in Three Phase Induction Motor Drives using this online evaluator? To use this online evaluator for Air Gap Power in Three Phase Induction Motor Drives, enter Rotor Current (I₂), Rotor Resistance (r₂) & Slip (s) and hit the calculate button.

FAQs on Air Gap Power in Three Phase Induction Motor Drives

What is the formula to find Air Gap Power in Three Phase Induction Motor Drives?

The formula of Air Gap Power in Three Phase Induction Motor Drives is expressed as Air Gap Power = 3*Rotor Current^2*(Rotor Resistance/Slip). Here is an example- 21.93485 = 3*1.352^2*(0.4/0.1).

How to calculate Air Gap Power in Three Phase Induction Motor Drives?

With Rotor Current (I₂), Rotor Resistance (r₂) & Slip (s) we can find Air Gap Power in Three Phase Induction Motor Drives using the formula - Air Gap Power = 3*Rotor Current^2*(Rotor Resistance/Slip).

Can the Air Gap Power in Three Phase Induction Motor Drives be negative?

No, the Air Gap Power in Three Phase Induction Motor Drives, measured in Power cannot be negative.

Which unit is used to measure Air Gap Power in Three Phase Induction Motor Drives?

Air Gap Power in Three Phase Induction Motor Drives is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Air Gap Power in Three Phase Induction Motor Drives can be measured.

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Air Gap Power in Three Phase Induction Motor Drives Formula

Air Gap Power in Three Phase Induction Motor Drives Example

Air Gap Power in Three Phase Induction Motor Drives Solution

Air Gap Power in Three Phase Induction Motor Drives Formula Elements

Other formulas in Three Phase Drives category

How to Evaluate Air Gap Power in Three Phase Induction Motor Drives?

FAQs on Air Gap Power in Three Phase Induction Motor Drives

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