Referred Reactane given Rotor Reactance Calculator

✖The effective turn ratio of an induction motor is a measure of the ratio of the voltage induced in the stator winding to the voltage induced in the rotor winding.ⓘ Effective Turn Ratio [a_eff]			+10% -10%
✖Blocked Rotor Reactance is a parameter used to describe the behaviour of an induction motor when it is blocked or unable to rotate, and is supplied with a voltage that is close to its rated value.ⓘ Blocked Rotor Reactance [X_R0]			+10% -10%

✖Referred Reactance is defined as the reactance of the rotor referred to the primary of the induction motor.ⓘ Referred Reactane given Rotor Reactance [X₂]

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Formula

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Referred Reactane given Rotor Reactance

Formula

`"X"_{"2"} = "a"_{"eff"}^2*"X"_{"R0"}`

Example

`"18.81737Ω"=("1.45")^2*"8.95Ω"`

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Referred Reactane given Rotor Reactance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Referred Reactance = Effective Turn Ratio^2*Blocked Rotor Reactance
X₂ = a_eff^2*X_R0
This formula uses 3 Variables

Variables Used

Referred Reactance - (Measured in Ohm) - Referred Reactance is defined as the reactance of the rotor referred to the primary of the induction motor.
Effective Turn Ratio - The effective turn ratio of an induction motor is a measure of the ratio of the voltage induced in the stator winding to the voltage induced in the rotor winding.
Blocked Rotor Reactance - (Measured in Ohm) - Blocked Rotor Reactance is a parameter used to describe the behaviour of an induction motor when it is blocked or unable to rotate, and is supplied with a voltage that is close to its rated value.

STEP 1: Convert Input(s) to Base Unit

Effective Turn Ratio: 1.45 --> No Conversion Required
Blocked Rotor Reactance: 8.95 Ohm --> 8.95 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X₂ = a_eff^2*X_R0 --> 1.45^2*8.95

Evaluating ... ...

X₂ = 18.817375

STEP 3: Convert Result to Output's Unit

18.817375 Ohm --> No Conversion Required

FINAL ANSWER

18.817375 ≈ 18.81737 Ohm <-- Referred Reactance

(Calculation completed in 00.020 seconds)

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Created by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has created this Calculator and 100+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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< 4 Impedance Calculators

Referred Reactane given Rotor Reactance

Go Referred Reactance = Effective Turn Ratio^2*Blocked Rotor Reactance

Referred Resistance given Rotor Resistance

Go Referred Resistance = Effective Turn Ratio^2*Rotor Resistance

Resistance given Slip at Maximum Torque

Go Resistance = Slip*Reactance

Reactance given Slip at Maximum Torque

Go Reactance = Resistance/Slip

Referred Reactane given Rotor Reactance Formula

Referred Reactance = Effective Turn Ratio^2*Blocked Rotor Reactance
X₂ = a_eff^2*X_R0

Explain the rotor circuit model?

The greater the relative motion between the rotor and the stator magnetic fields, the greater the resulting rotor voltage and rotor frequency, The largest relative motion occurs when the rotor is stationary, called the locked-rotor or blocked-rotor condition, so the largest voltage and rotor frequency arc induced in the rotor at that condition.

How to Calculate Referred Reactane given Rotor Reactance?

Referred Reactane given Rotor Reactance calculator uses Referred Reactance = Effective Turn Ratio^2*Blocked Rotor Reactance to calculate the Referred Reactance, The Referred Reactane given Rotor Reactance formula refers to the effective reactance seen by the stator winding of the motor when the effects of the rotor are taken into account. Referred Reactance is denoted by X₂ symbol.

How to calculate Referred Reactane given Rotor Reactance using this online calculator? To use this online calculator for Referred Reactane given Rotor Reactance, enter Effective Turn Ratio (a_eff) & Blocked Rotor Reactance (X_R0) and hit the calculate button. Here is how the Referred Reactane given Rotor Reactance calculation can be explained with given input values -> 18.81737 = 1.45^2*8.95.

FAQ

What is Referred Reactane given Rotor Reactance?

The Referred Reactane given Rotor Reactance formula refers to the effective reactance seen by the stator winding of the motor when the effects of the rotor are taken into account and is represented as X₂ = a_eff^2*X_R0 or Referred Reactance = Effective Turn Ratio^2*Blocked Rotor Reactance. The effective turn ratio of an induction motor is a measure of the ratio of the voltage induced in the stator winding to the voltage induced in the rotor winding & Blocked Rotor Reactance is a parameter used to describe the behaviour of an induction motor when it is blocked or unable to rotate, and is supplied with a voltage that is close to its rated value.

How to calculate Referred Reactane given Rotor Reactance?

The Referred Reactane given Rotor Reactance formula refers to the effective reactance seen by the stator winding of the motor when the effects of the rotor are taken into account is calculated using Referred Reactance = Effective Turn Ratio^2*Blocked Rotor Reactance. To calculate Referred Reactane given Rotor Reactance, you need Effective Turn Ratio (a_eff) & Blocked Rotor Reactance (X_R0). With our tool, you need to enter the respective value for Effective Turn Ratio & Blocked Rotor Reactance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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