Rotor Acceleration Calculator

✖Input Power is defined as the power that is supplied to a synchronous machine during operation.ⓘ Input Power [P_i]			+10% -10%
✖Electromagnetic Power is defined as the power that is developed when a synchronous generator operates on synchronous speed, when an input torque is applied on the prime mover.ⓘ Electromagnetic Power [P_ep]			+10% -10%

✖Accelerating Power is the difference in input power and electromagnetic power.ⓘ Rotor Acceleration [P_a]

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Formula

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Rotor Acceleration

Formula

`"P"_{"a"} = "P"_{"i"}-"P"_{"ep"}`

Example

`"100.1W"="200W"-"99.9W"`

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Rotor Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Accelerating Power = Input Power-Electromagnetic Power
P_a = P_i-P_ep
This formula uses 3 Variables

Variables Used

Accelerating Power - (Measured in Watt) - Accelerating Power is the difference in input power and electromagnetic power.
Input Power - (Measured in Watt) - Input Power is defined as the power that is supplied to a synchronous machine during operation.
Electromagnetic Power - (Measured in Watt) - Electromagnetic Power is defined as the power that is developed when a synchronous generator operates on synchronous speed, when an input torque is applied on the prime mover.

STEP 1: Convert Input(s) to Base Unit

Input Power: 200 Watt --> 200 Watt No Conversion Required
Electromagnetic Power: 99.9 Watt --> 99.9 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_a = P_i-P_ep --> 200-99.9

Evaluating ... ...

P_a = 100.1

STEP 3: Convert Result to Output's Unit

100.1 Watt --> No Conversion Required

FINAL ANSWER

100.1 Watt <-- Accelerating Power

(Calculation completed in 00.004 seconds)

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Credits

Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has created this Calculator and 50+ more calculators!

Verified by Aman Dhussawat

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

Aman Dhussawat has verified this Calculator and 100+ more calculators!

< 20 Power System Stability Calculators

Active Power by Infinite Bus

Go Active Power of Infinite Bus = (Voltage of Infinite Bus)^2/sqrt((Resistance)^2+(Synchronous Reactance)^2)-(Voltage of Infinite Bus)^2/((Resistance)^2+(Synchronous Reactance)^2)

Critical Clearing Angle under Power System Stability

Go Critical Clearing Angle = acos(cos(Maximum Clearing Angle)+((Input Power)/(Maximum Power))*(Maximum Clearing Angle-Initial Power Angle))

Critical Clearing Time under Power System Stability

Go Critical Clearing Time = sqrt((2*Constant of Inertia*(Critical Clearing Angle-Initial Power Angle))/(pi*Frequency*Maximum Power))

Synchronous Power of Power Angle Curve

Go Synchronous Power = (modulus(EMF of Generator)*modulus(Voltage of Infinite Bus))/Synchronous Reactance*cos(Electrical Power Angle)

Real Power of Generator under Power Angle Curve

Go Real Power = (modulus(EMF of Generator)*modulus(Voltage of Infinite Bus))/Synchronous Reactance*sin(Electrical Power Angle)

Clearing Time

Go Clearing Time = sqrt((2*Constant of Inertia*(Clearing Angle-Initial Power Angle))/(pi*Frequency*Input Power))

Clearing Angle

Go Clearing Angle = (pi*Frequency*Input Power)/(2*Constant of Inertia)*(Clearing Time)^2+Initial Power Angle

Maximum Steady State Power Transfer

Go Maximum Steady State Power Transfer = (modulus(EMF of Generator)*modulus(Voltage of Infinite Bus))/Synchronous Reactance

Output Power of Generator under Power System Stability

Go Output Power of Generator = (EMF of Generator*Terminal Voltage*sin(Power Angle))/Magnetic Reluctance

Time Constant in Power System Stability

Go Time Constant = (2*Constant of Inertia)/(pi*Damping Frequency of Oscillation*Damping Coefficient)

Moment of Inertia of Machine under Power System Stability

Go Moment of Inertia = Rotor Moment of Inertia*(2/Number of Machine Poles)^2*Rotor Speed of Synchronous Machine*10^-6

Inertia Constant of Machine

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

Angular Displacement of Machine under Power System Stability

Go Angular Displacement of Machine = Angular Displacement of Rotor-Synchronous Speed*Time of Angular Displacement

Damped Frequency of Oscillation in Power System Stability

Go Damping Frequency of Oscillation = Natural Frequency of Oscillation*sqrt(1-(Oscillation Constant)^2)

Lossless Power Delivered in Synchronous Machine

Go Lossless Power Delivered = Maximum Power*sin(Electrical Power Angle)

Speed of Synchronous Machine

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

Kinetic Energy of Rotor

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

Accelerating Torque of Generator under Power System Stability

Go Accelerating Torque = Mechanical Torque-Electrical Torque

Rotor Acceleration

Go Accelerating Power = Input Power-Electromagnetic Power

Complex Power of Generator under Power Angle Curve

Go Complex Power = Phasor Voltage*Phasor Current

Rotor Acceleration Formula

Accelerating Power = Input Power-Electromagnetic Power
P_a = P_i-P_ep

What is Rotor Acceleration?

Rotor Acceleration is produced when an electromagnetic torque is applied on the prime mover of an synchronous generator then the difference between the input power and the electromagnetic power forms the accelerating or deaccelerating power of that synchronous machine.

How to Calculate Rotor Acceleration?

Rotor Acceleration calculator uses Accelerating Power = Input Power-Electromagnetic Power to calculate the Accelerating Power, The Rotor Acceleration formula is defined as acceleration developed when electromagnetic torque is supplied to the synchronous machine and the accelerating power is formed from the difference in input and electromagnetic power. Accelerating Power is denoted by P_a symbol.

How to calculate Rotor Acceleration using this online calculator? To use this online calculator for Rotor Acceleration, enter Input Power (P_i) & Electromagnetic Power (P_ep) and hit the calculate button. Here is how the Rotor Acceleration calculation can be explained with given input values -> 100 = 200-99.9.

FAQ

What is Rotor Acceleration?

The Rotor Acceleration formula is defined as acceleration developed when electromagnetic torque is supplied to the synchronous machine and the accelerating power is formed from the difference in input and electromagnetic power and is represented as P_a = P_i-P_ep or Accelerating Power = Input Power-Electromagnetic Power. Input Power is defined as the power that is supplied to a synchronous machine during operation & Electromagnetic Power is defined as the power that is developed when a synchronous generator operates on synchronous speed, when an input torque is applied on the prime mover.

How to calculate Rotor Acceleration?

The Rotor Acceleration formula is defined as acceleration developed when electromagnetic torque is supplied to the synchronous machine and the accelerating power is formed from the difference in input and electromagnetic power is calculated using Accelerating Power = Input Power-Electromagnetic Power. To calculate Rotor Acceleration, you need Input Power (P_i) & Electromagnetic Power (P_ep). With our tool, you need to enter the respective value for Input Power & Electromagnetic Power 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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