Clearing Angle Calculator

✖Frequency is defined as the number of times a repeating event occurs per unit of time.ⓘ Frequency [f]			+10% -10%
✖Input Power is defined as the power that is supplied to a synchronous machine during operation.ⓘ Input Power [P_i]			+10% -10%
✖Constant of Inertia is defined as the ratio of kinetic energy stored at the synchronous speed to the generator kVA or MVA rating.ⓘ Constant of Inertia [H]			+10% -10%
✖Clearing Time is the time taken by the rotor to move to the critical clearing angle.ⓘ Clearing Time [t_c]			+10% -10%
✖Initial Power Angle is the angle between a generator's internal voltage and its terminal voltage.ⓘ Initial Power Angle [δ_o]			+10% -10%

✖Clearing Angle is defined as the maximum change in the load angle curve before clearing fault without loss of synchronism.ⓘ Clearing Angle [δ_c]

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Clearing Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Clearing Angle = (pi*Frequency*Input Power)/(2*Constant of Inertia)*(Clearing Time)^2+Initial Power Angle
δ_c = (pi*f*P_i)/(2*H)*(t_c)^2+δ_o
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Clearing Angle - (Measured in Radian) - Clearing Angle is defined as the maximum change in the load angle curve before clearing fault without loss of synchronism.
Frequency - (Measured in Hertz) - Frequency is defined as the number of times a repeating event occurs per unit of time.
Input Power - (Measured in Watt) - Input Power is defined as the power that is supplied to a synchronous machine during operation.
Constant of Inertia - (Measured in Kilogram Square Meter) - Constant of Inertia is defined as the ratio of kinetic energy stored at the synchronous speed to the generator kVA or MVA rating.
Clearing Time - (Measured in Second) - Clearing Time is the time taken by the rotor to move to the critical clearing angle.
Initial Power Angle - (Measured in Radian) - Initial Power Angle is the angle between a generator's internal voltage and its terminal voltage.

STEP 1: Convert Input(s) to Base Unit

Frequency: 56 Hertz --> 56 Hertz No Conversion Required
Input Power: 200 Watt --> 200 Watt No Conversion Required
Constant of Inertia: 39 Kilogram Square Meter --> 39 Kilogram Square Meter No Conversion Required
Clearing Time: 0.37 Second --> 0.37 Second No Conversion Required
Initial Power Angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ_c = (pi*f*P_i)/(2*H)*(t_c)^2+δ_o --> (pi*56*200)/(2*39)*(0.37)^2+0.1745329251994

Evaluating ... ...

δ_c = 61.9301891289963

STEP 3: Convert Result to Output's Unit

61.9301891289963 Radian --> No Conversion Required

FINAL ANSWER

61.9301891289963 ≈ 61.93019 Radian <-- Clearing Angle

(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

Clearing Angle Formula

LaTeX Go

Clearing Angle = (pi*Frequency*Input Power)/(2*Constant of Inertia)*(Clearing Time)^2+Initial Power Angle
δ_c = (pi*f*P_i)/(2*H)*(t_c)^2+δ_o

What is Clearing Angle?

In power system stability analysis, the clearing angle refers to the angle through which the rotor angle swings after a fault is cleared and before the system settles into a new stable state. The term is commonly associated with synchronous machines, which are key components in power systems.

How to Calculate Clearing Angle?

Clearing Angle calculator uses Clearing Angle = (pi*Frequency*Input Power)/(2*Constant of Inertia)*(Clearing Time)^2+Initial Power Angle to calculate the Clearing Angle, Clearing Angle is defined as the angle through which the rotor angle swings after a fault is cleared and before the system settles into a new stable state. Clearing Angle is denoted by δ_c symbol.

How to calculate Clearing Angle using this online calculator? To use this online calculator for Clearing Angle, enter Frequency (f), Input Power (P_i), Constant of Inertia (H), Clearing Time (t_c) & Initial Power Angle (δ_o) and hit the calculate button. Here is how the Clearing Angle calculation can be explained with given input values -> 61.93019 = (pi*56*200)/(2*39)*(0.37)^2+0.1745329251994.

FAQ

What is Clearing Angle?

Clearing Angle is defined as the angle through which the rotor angle swings after a fault is cleared and before the system settles into a new stable state and is represented as δ_c = (pi*f*P_i)/(2*H)*(t_c)^2+δ_o or Clearing Angle = (pi*Frequency*Input Power)/(2*Constant of Inertia)*(Clearing Time)^2+Initial Power Angle. Frequency is defined as the number of times a repeating event occurs per unit of time, Input Power is defined as the power that is supplied to a synchronous machine during operation, Constant of Inertia is defined as the ratio of kinetic energy stored at the synchronous speed to the generator kVA or MVA rating, Clearing Time is the time taken by the rotor to move to the critical clearing angle & Initial Power Angle is the angle between a generator's internal voltage and its terminal voltage.

How to calculate Clearing Angle?

Clearing Angle is defined as the angle through which the rotor angle swings after a fault is cleared and before the system settles into a new stable state is calculated using Clearing Angle = (pi*Frequency*Input Power)/(2*Constant of Inertia)*(Clearing Time)^2+Initial Power Angle. To calculate Clearing Angle, you need Frequency (f), Input Power (P_i), Constant of Inertia (H), Clearing Time (t_c) & Initial Power Angle (δ_o). With our tool, you need to enter the respective value for Frequency, Input Power, Constant of Inertia, Clearing Time & Initial Power Angle 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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