Rotor Copper Loss in Induction Motor Calculator

✖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 [I_r]			+10% -10%
✖Rotor resistance per phase the resistance of the AC induction motor rotor.ⓘ Rotor Resistance [R_r]			+10% -10%

✖The rotor copper loss is the value that you get while subtracting the stator copper loss from the total measured loss.ⓘ Rotor Copper Loss in Induction Motor [P_r(cu)]

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Formula

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Rotor Copper Loss in Induction Motor

Formula

`"P"_{"r(cu)"} = 3*"I"_{"r"}^2*"R"_{"r"}`

Example

`"1.55952W"=3*("0.285A")^2*"6.4Ω"`

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Rotor Copper Loss in Induction Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance
P_r(cu) = 3*I_r^2*R_r
This formula uses 3 Variables

Variables Used

Rotor Copper Loss - (Measured in Watt) - The rotor copper loss is the value that you get while subtracting the stator copper loss from the total measured loss.
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.
Rotor Resistance - (Measured in Ohm) - Rotor resistance per phase the resistance of the AC induction motor rotor.

STEP 1: Convert Input(s) to Base Unit

Rotor Current: 0.285 Ampere --> 0.285 Ampere No Conversion Required
Rotor Resistance: 6.4 Ohm --> 6.4 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_r(cu) = 3*I_r^2*R_r --> 3*0.285^2*6.4

Evaluating ... ...

P_r(cu) = 1.55952

STEP 3: Convert Result to Output's Unit

1.55952 Watt --> No Conversion Required

FINAL ANSWER

1.55952 Watt <-- Rotor Copper Loss

(Calculation completed in 00.020 seconds)

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Credits

Created by Aman Dhussawat

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

Aman Dhussawat 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!

< 3 Losses Calculators

Stator Copper Loss in Induction Motor

Go Stator Copper Loss = 3*Stator Current^2*Stator Resistance

Rotor Copper Loss in Induction Motor

Go Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance

Rotor Copper Loss given Input Rotor Power

Go Rotor Copper Loss = Slip*Rotor Input Power

< 25 Induction Motor Circuit Calculators

Torque of Induction Motor under Running Condition

Go Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))

Rotor Current in Induction Motor

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

Starting Torque of Induction Motor

Go Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2))

Maximum Running Torque

Go Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance)

Linear Synchronous Speed

Go Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency

Stator Copper Loss in Induction Motor

Go Stator Copper Loss = 3*Stator Current^2*Stator Resistance

Rotor Copper Loss in Induction Motor

Go Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance

Synchronous Speed in Induction Motor

Go Synchronous Speed = (120*Frequency)/(Number of Poles)

Frequency given Number of Poles in Induction Motor

Go Frequency = (Number of Poles*Synchronous Speed)/120

Armature Current given Power in Induction Motor

Go Armature Current = Output Power/Armature Voltage

Synchronous Speed of Induction Motor given Efficiency

Go Synchronous Speed = (Motor Speed)/(Efficiency)

Rotor Efficiency in Induction Motor

Go Efficiency = (Motor Speed)/(Synchronous Speed)

Field Current using Load Current in Induction Motor

Go Field Current = Armature Current-Load Current

Rotor Input Power in Induction Motor

Go Rotor Input Power = Input Power-Stator Losses

Load Current in Induction Motor

Go Load Current = Armature Current-Field Current

Force by Linear Induction Motor

Go Force = Input Power/Linear Synchronous Speed

Motor Speed given Efficiency in Induction Motor

Go Motor Speed = Efficiency*Synchronous Speed

Rotor Copper Loss given Input Rotor Power

Go Rotor Copper Loss = Slip*Rotor Input Power

Pitch Factor in Induction Motor

Go Pitch Factor = cos(Short Pitched Angle/2)

Gross Mechanical Power in Induction Motor

Go Mechanical Power = (1-Slip)*Input Power

Rotor Frequency given Supply Frequency

Go Rotor Frequency = Slip*Frequency

Resistance given Slip at Maximum Torque

Go Resistance = Slip*Reactance

Reactance given Slip at Maximum Torque

Go Reactance = Resistance/Slip

Breakdown Slip of Induction Motor

Go Slip = Resistance/Reactance

Slip given Efficiency in Induction Motor

Go Slip = 1-Efficiency

Rotor Copper Loss in Induction Motor Formula

Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance
P_r(cu) = 3*I_r^2*R_r

What are copper losses in induction motor?

Copper loss is the term often given to heat produced by electrical currents in the conductors of transformer windings, or other electrical devices. Copper losses are an undesirable transfer of energy, as are core losses, which result from induced currents in adjacent components.

How to Calculate Rotor Copper Loss in Induction Motor?

Rotor Copper Loss in Induction Motor calculator uses Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance to calculate the Rotor Copper Loss, The Rotor Copper Loss in Induction Motor formula is defined as rotor copper loss refers to the energy dissipated as heat in the rotor due to the flow of current through its copper conductors. Rotor Copper Loss is denoted by P_r(cu) symbol.

How to calculate Rotor Copper Loss in Induction Motor using this online calculator? To use this online calculator for Rotor Copper Loss in Induction Motor, enter Rotor Current (I_r) & Rotor Resistance (R_r) and hit the calculate button. Here is how the Rotor Copper Loss in Induction Motor calculation can be explained with given input values -> 1.55952 = 3*0.285^2*6.4.

FAQ

What is Rotor Copper Loss in Induction Motor?

The Rotor Copper Loss in Induction Motor formula is defined as rotor copper loss refers to the energy dissipated as heat in the rotor due to the flow of current through its copper conductors and is represented as P_r(cu) = 3*I_r^2*R_r or Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance. Rotor current refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator & Rotor resistance per phase the resistance of the AC induction motor rotor.

How to calculate Rotor Copper Loss in Induction Motor?

The Rotor Copper Loss in Induction Motor formula is defined as rotor copper loss refers to the energy dissipated as heat in the rotor due to the flow of current through its copper conductors is calculated using Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance. To calculate Rotor Copper Loss in Induction Motor, you need Rotor Current (I_r) & Rotor Resistance (R_r). With our tool, you need to enter the respective value for Rotor Current & Rotor Resistance 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 Copper Loss?

In this formula, Rotor Copper Loss uses Rotor Current & Rotor Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Rotor Copper Loss = Slip*Rotor Input Power
Rotor Copper Loss = Slip*Rotor Input Power

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