Kinetic Energy of Rotor Calculator

✖Rotor Moment of Inertia is the rotational inertia that depends on the mass distribution and shape of the motor.ⓘ Rotor Moment of Inertia [J]			+10% -10%
✖Synchronous Speed is defined as the speed that depends on the stability of the generator or motor to maintain synchronization of the grid.ⓘ Synchronous Speed [ω_s]			+10% -10%

✖Kinetic Energy of Rotor is defined as the energy that is proportional to the moment of inertia and the square of the synchronous speed of the rotor.ⓘ Kinetic Energy of Rotor [KE]

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Kinetic Energy of Rotor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy of Rotor = (1/2)*Rotor Moment of Inertia*Synchronous Speed^2*10^-6
KE = (1/2)*J*ω_s^2*10^-6
This formula uses 3 Variables

Variables Used

Kinetic Energy of Rotor - (Measured in Joule) - Kinetic Energy of Rotor is defined as the energy that is proportional to the moment of inertia and the square of the synchronous speed of the rotor.
Rotor Moment of Inertia - (Measured in Kilogram Square Meter) - Rotor Moment of Inertia is the rotational inertia that depends on the mass distribution and shape of the motor.
Synchronous Speed - (Measured in Meter per Second) - Synchronous Speed is defined as the speed that depends on the stability of the generator or motor to maintain synchronization of the grid.

STEP 1: Convert Input(s) to Base Unit

Rotor Moment of Inertia: 6 Kilogram Square Meter --> 6 Kilogram Square Meter No Conversion Required
Synchronous Speed: 8 Meter per Second --> 8 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

KE = (1/2)*J*ω_s^2*10^-6 --> (1/2)*6*8^2*10^-6

Evaluating ... ...

KE = 0.000192

STEP 3: Convert Result to Output's Unit

0.000192 Joule --> No Conversion Required

FINAL ANSWER

0.000192 Joule <-- Kinetic Energy of Rotor

(Calculation completed in 00.004 seconds)

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has created this Calculator and 25+ more calculators!

Verified by Aman Dhussawat

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

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< Power System Stability Calculators

Inertia Constant of Machine

LaTeX Go Inertia Constant of Machine = (Three Phase MVA Rating of Machine*Constant of Inertia)/(180*Synchronous Frequency)

Speed of Synchronous Machine

LaTeX Go Speed of Synchronous Machine = (Number of Machine Poles/2)*Rotor Speed of Synchronous Machine

Kinetic Energy of Rotor

LaTeX Go Kinetic Energy of Rotor = (1/2)*Rotor Moment of Inertia*Synchronous Speed^2*10^-6

Rotor Acceleration

LaTeX Go Accelerating Power = Input Power-Electromagnetic Power

Kinetic Energy of Rotor Formula

LaTeX Go

Kinetic Energy of Rotor = (1/2)*Rotor Moment of Inertia*Synchronous Speed^2*10^-6
KE = (1/2)*J*ω_s^2*10^-6

What is the kinetic energy of rotor and how the unit convention is used?

Kinetic energy of rotor in power system stability is the key parameter that is related with the rotational mass of the power system. This kinetic energy represents the energy stored in the synchronous generator that is used to generate stability of the system. The unit is J but when the value is counted in MJ multiply the formula with 10^-6MJ.

How to Calculate Kinetic Energy of Rotor?

Kinetic Energy of Rotor calculator uses Kinetic Energy of Rotor = (1/2)*Rotor Moment of Inertia*Synchronous Speed^2*10^-6 to calculate the Kinetic Energy of Rotor, The Kinetic Energy of Rotor in power system stability is defined as the energy that is proportional to the half of moment of inertia of the rotor and square of the synchronous speed. Kinetic Energy of Rotor is denoted by KE symbol.

How to calculate Kinetic Energy of Rotor using this online calculator? To use this online calculator for Kinetic Energy of Rotor, enter Rotor Moment of Inertia (J) & Synchronous Speed (ω_s) and hit the calculate button. Here is how the Kinetic Energy of Rotor calculation can be explained with given input values -> 0.000192 = (1/2)*6*8^2*10^-6.

FAQ

What is Kinetic Energy of Rotor?

The Kinetic Energy of Rotor in power system stability is defined as the energy that is proportional to the half of moment of inertia of the rotor and square of the synchronous speed and is represented as KE = (1/2)*J*ω_s^2*10^-6 or Kinetic Energy of Rotor = (1/2)*Rotor Moment of Inertia*Synchronous Speed^2*10^-6. Rotor Moment of Inertia is the rotational inertia that depends on the mass distribution and shape of the motor & Synchronous Speed is defined as the speed that depends on the stability of the generator or motor to maintain synchronization of the grid.

How to calculate Kinetic Energy of Rotor?

The Kinetic Energy of Rotor in power system stability is defined as the energy that is proportional to the half of moment of inertia of the rotor and square of the synchronous speed is calculated using Kinetic Energy of Rotor = (1/2)*Rotor Moment of Inertia*Synchronous Speed^2*10^-6. To calculate Kinetic Energy of Rotor, you need Rotor Moment of Inertia (J) & Synchronous Speed (ω_s). With our tool, you need to enter the respective value for Rotor Moment of Inertia & Synchronous Speed 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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