Accelerating Torque of Generator under Power System Stability Calculator

✖Mechanical Torque is defined as the physical quantity also known as load torque which is proportional to the product of force and distance.ⓘ Mechanical Torque [T_m]			+10% -10%
✖Electrical Torque is the physical quantity that defines the rotational effect that is proportional to the output power of the magnetic flux and the armature current.ⓘ Electrical Torque [T_e]			+10% -10%

✖Accelerating Torque of generator is defined as the torque required to accelerate an initial load to its target speed of deaccelerate to zero.ⓘ Accelerating Torque of Generator under Power System Stability [T_a]

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Accelerating Torque of Generator under Power System Stability

Formula

`"T"_{"a"} = "T"_{"m"}-"T"_{"e"}`

Example

`"32N*m"="44N*m"-"12N*m"`

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Accelerating Torque of Generator under Power System Stability Solution

STEP 0: Pre-Calculation Summary

Formula Used

Accelerating Torque = Mechanical Torque-Electrical Torque
T_a = T_m-T_e
This formula uses 3 Variables

Variables Used

Accelerating Torque - (Measured in Newton Meter) - Accelerating Torque of generator is defined as the torque required to accelerate an initial load to its target speed of deaccelerate to zero.
Mechanical Torque - (Measured in Newton Meter) - Mechanical Torque is defined as the physical quantity also known as load torque which is proportional to the product of force and distance.
Electrical Torque - (Measured in Newton Meter) - Electrical Torque is the physical quantity that defines the rotational effect that is proportional to the output power of the magnetic flux and the armature current.

STEP 1: Convert Input(s) to Base Unit

Mechanical Torque: 44 Newton Meter --> 44 Newton Meter No Conversion Required
Electrical Torque: 12 Newton Meter --> 12 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_a = T_m-T_e --> 44-12

Evaluating ... ...

T_a = 32

STEP 3: Convert Result to Output's Unit

32 Newton Meter --> No Conversion Required

FINAL ANSWER

32 Newton Meter <-- Accelerating Torque

(Calculation completed in 00.004 seconds)

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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

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< 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

Accelerating Torque of Generator under Power System Stability Formula

Accelerating Torque = Mechanical Torque-Electrical Torque
T_a = T_m-T_e

What is Accelerating Torque of a Generator?

The Accelerating Torque is the measure of the rotational force applied to a generator's shaft. It is defined as the torque required for the maximum acceleration and deceleration rate for the load. The more the torque increase the more active power is produced.

How to Calculate Accelerating Torque of Generator under Power System Stability?

Accelerating Torque of Generator under Power System Stability calculator uses Accelerating Torque = Mechanical Torque-Electrical Torque to calculate the Accelerating Torque, Accelerating Torque of Generator under Power System Stability is defined as the difference between the electrical and mechanical torque in the generator. Accelerating Torque is denoted by T_a symbol.

How to calculate Accelerating Torque of Generator under Power System Stability using this online calculator? To use this online calculator for Accelerating Torque of Generator under Power System Stability, enter Mechanical Torque (T_m) & Electrical Torque (T_e) and hit the calculate button. Here is how the Accelerating Torque of Generator under Power System Stability calculation can be explained with given input values -> 32 = 44-12.

FAQ

What is Accelerating Torque of Generator under Power System Stability?

Accelerating Torque of Generator under Power System Stability is defined as the difference between the electrical and mechanical torque in the generator and is represented as T_a = T_m-T_e or Accelerating Torque = Mechanical Torque-Electrical Torque. Mechanical Torque is defined as the physical quantity also known as load torque which is proportional to the product of force and distance & Electrical Torque is the physical quantity that defines the rotational effect that is proportional to the output power of the magnetic flux and the armature current.

How to calculate Accelerating Torque of Generator under Power System Stability?

Accelerating Torque of Generator under Power System Stability is defined as the difference between the electrical and mechanical torque in the generator is calculated using Accelerating Torque = Mechanical Torque-Electrical Torque. To calculate Accelerating Torque of Generator under Power System Stability, you need Mechanical Torque (T_m) & Electrical Torque (T_e). With our tool, you need to enter the respective value for Mechanical Torque & Electrical Torque 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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