Rotor Current in Induction Motor Calculator

✖Slip in Induction Motor is the relative speed between the rotating magnetic flux and rotor expressed in terms of per unit synchronous speed. It is a dimensionless quantity.ⓘ Slip [s]			+10% -10%
✖Induced EMF is the EMF generated due to the motion.ⓘ Induced EMF [E_i]			+10% -10%
✖Rotor Resistance per Phase is the electrical resistance of each phase winding in the rotor of a three-phase AC generator.ⓘ Rotor Resistance per Phase [R_r(ph)]			+10% -10%
✖Rotor Reactance per Phase is the electrical reactance of each phase winding in the rotor of a three-phase AC generator.ⓘ Rotor Reactance per Phase [X_r(ph)]			+10% -10%

✖Rotor current refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator.ⓘ Rotor Current in Induction Motor [I_r]

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Formula

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Rotor Current in Induction Motor

Formula

I r = \frac{s \cdot E i}{\sqrt{{R r(ph)}^{2} + {(s \cdot X r(ph))}^{2}}}

Example

0.218591 A = \frac{0.19 \cdot 67.3 V}{\sqrt{{56 Ω}^{2} + {(0.19 \cdot 89 Ω)}^{2}}}

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Rotor Current in Induction Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)
I_r = (s*E_i)/sqrt(R_r(ph)^2+(s*X_r(ph))^2)
This formula uses 1 Functions, 5 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

Rotor Current - (Measured in Ampere) - Rotor current refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator.
Slip - Slip in Induction Motor is the relative speed between the rotating magnetic flux and rotor expressed in terms of per unit synchronous speed. It is a dimensionless quantity.
Induced EMF - (Measured in Volt) - Induced EMF is the EMF generated due to the motion.
Rotor Resistance per Phase - (Measured in Ohm) - Rotor Resistance per Phase is the electrical resistance of each phase winding in the rotor of a three-phase AC generator.
Rotor Reactance per Phase - (Measured in Ohm) - Rotor Reactance per Phase is the electrical reactance of each phase winding in the rotor of a three-phase AC generator.

STEP 1: Convert Input(s) to Base Unit

Slip: 0.19 --> No Conversion Required
Induced EMF: 67.3 Volt --> 67.3 Volt No Conversion Required
Rotor Resistance per Phase: 56 Ohm --> 56 Ohm No Conversion Required
Rotor Reactance per Phase: 89 Ohm --> 89 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_r = (s*E_i)/sqrt(R_r(ph)^2+(s*X_r(ph))^2) --> (0.19*67.3)/sqrt(56^2+(0.19*89)^2)

Evaluating ... ...

I_r = 0.218590838487781

STEP 3: Convert Result to Output's Unit

0.218590838487781 Ampere --> No Conversion Required

FINAL ANSWER

0.218590838487781 ≈ 0.218591 Ampere <-- Rotor Current

(Calculation completed in 00.020 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Current Calculators

Rotor Current in Induction Motor given Stator Voltage

Go Rotor Current = (Slip*Turn Ratio*Stator Voltage)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)

Armature Current given Power in Induction Motor

Go Armature Current = Output Power/Armature Voltage

Field Current using Load Current in Induction Motor

Go Field Current = Armature Current-Load Current

Load Current in Induction Motor

Go Load Current = Armature Current-Field Current

< Induction Motor Circuit Calculators

Rotor Current in Induction Motor

Go Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)

Armature Current given Power in Induction Motor

Go Armature Current = Output Power/Armature Voltage

Field Current using Load Current in Induction Motor

Go Field Current = Armature Current-Load Current

Load Current in Induction Motor

Go Load Current = Armature Current-Field Current

Rotor Current in Induction Motor Formula

Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)
I_r = (s*E_i)/sqrt(R_r(ph)^2+(s*X_r(ph))^2)

What is the main difference between the field current and armature current?

Field Current - Current flows in Field Winding or stationary winding of Motor or generator is called field current. Armature Current - Current Flows in Armature Winding or rotating Winding of Motor or generator is called Armature Current.

How to Calculate Rotor Current in Induction Motor?

Rotor Current in Induction Motor calculator uses Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2) to calculate the Rotor Current, The Rotor Current in Induction Motor refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator. Rotor Current is denoted by I_r symbol.

How to calculate Rotor Current in Induction Motor using this online calculator? To use this online calculator for Rotor Current in Induction Motor, enter Slip (s), Induced EMF (E_i), Rotor Resistance per Phase (R_r(ph)) & Rotor Reactance per Phase (X_r(ph)) and hit the calculate button. Here is how the Rotor Current in Induction Motor calculation can be explained with given input values -> 0.218591 = (0.19*67.3)/sqrt(56^2+(0.19*89)^2).

FAQ

What is Rotor Current in Induction Motor?

The Rotor Current in Induction Motor refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator and is represented as I_r = (s*E_i)/sqrt(R_r(ph)^2+(s*X_r(ph))^2) or Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2). Slip in Induction Motor is the relative speed between the rotating magnetic flux and rotor expressed in terms of per unit synchronous speed. It is a dimensionless quantity, Induced EMF is the EMF generated due to the motion, Rotor Resistance per Phase is the electrical resistance of each phase winding in the rotor of a three-phase AC generator & Rotor Reactance per Phase is the electrical reactance of each phase winding in the rotor of a three-phase AC generator.

How to calculate Rotor Current in Induction Motor?

The Rotor Current in Induction Motor refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator is calculated using Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2). To calculate Rotor Current in Induction Motor, you need Slip (s), Induced EMF (E_i), Rotor Resistance per Phase (R_r(ph)) & Rotor Reactance per Phase (X_r(ph)). With our tool, you need to enter the respective value for Slip, Induced EMF, Rotor Resistance per Phase & Rotor Reactance per Phase 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 Rotor Current?

In this formula, Rotor Current uses Slip, Induced EMF, Rotor Resistance per Phase & Rotor Reactance per Phase. We can use 1 other way(s) to calculate the same, which is/are as follows -

Rotor Current = (Slip*Turn Ratio*Stator Voltage)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)

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