Complex Power of Generator under Power Angle Curve Calculator

✖Phasor Voltage refers to a complex quantity that represents the amplitude, phase angle, and frequency of an alternating voltage (AC) in a simplified and convenient form.ⓘ Phasor Voltage [V_p]			+10% -10%
✖Phasor Current refers to a complex quantity that represents the amplitude, phase angle, and frequency of an alternating current (AC) in a concise and convenient form.ⓘ Phasor Current [I_p]			+10% -10%

✖Complex Power of Generator is defined as the product of the RMS value of the phasor voltage and conjugate of the phasor current.ⓘ Complex Power of Generator under Power Angle Curve [S]

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Formula

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Complex Power of Generator under Power Angle Curve

Formula

`"S" = "V"_{"p"}*"I"_{"p"}`

Example

`"1282.42VA"="74V"*"17.33A"`

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Complex Power of Generator under Power Angle Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Complex Power = Phasor Voltage*Phasor Current
S = V_p*I_p
This formula uses 3 Variables

Variables Used

Complex Power - (Measured in Watt) - Complex Power of Generator is defined as the product of the RMS value of the phasor voltage and conjugate of the phasor current.
Phasor Voltage - (Measured in Volt) - Phasor Voltage refers to a complex quantity that represents the amplitude, phase angle, and frequency of an alternating voltage (AC) in a simplified and convenient form.
Phasor Current - (Measured in Ampere) - Phasor Current refers to a complex quantity that represents the amplitude, phase angle, and frequency of an alternating current (AC) in a concise and convenient form.

STEP 1: Convert Input(s) to Base Unit

Phasor Voltage: 74 Volt --> 74 Volt No Conversion Required
Phasor Current: 17.33 Ampere --> 17.33 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = V_p*I_p --> 74*17.33

Evaluating ... ...

S = 1282.42

STEP 3: Convert Result to Output's Unit

1282.42 Watt -->1282.42 Volt Ampere (Check conversion here)

FINAL ANSWER

1282.42 Volt Ampere <-- Complex Power

(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

Complex Power of Generator under Power Angle Curve Formula

Complex Power = Phasor Voltage*Phasor Current
S = V_p*I_p

What is Complex power in Power Angle Curve?

In Power Angle Curve complex power is basically the summation of real and reactive power in imaginary axis which is derived from the amplitude relationship between the voltage and current, this is why the unit is VA or Volt-Ampere.

How to Calculate Complex Power of Generator under Power Angle Curve?

Complex Power of Generator under Power Angle Curve calculator uses Complex Power = Phasor Voltage*Phasor Current to calculate the Complex Power, The Complex Power of Generator under Power Angle Curve formula is defined as product of phasor voltage and phasor current of a generator. Complex power of a generator under the power angle curve is a representation of the active and reactive power output as a function of the power angle. Complex Power is denoted by S symbol.

How to calculate Complex Power of Generator under Power Angle Curve using this online calculator? To use this online calculator for Complex Power of Generator under Power Angle Curve, enter Phasor Voltage (V_p) & Phasor Current (I_p) and hit the calculate button. Here is how the Complex Power of Generator under Power Angle Curve calculation can be explained with given input values -> 1282.42 = 74*17.33.

FAQ

What is Complex Power of Generator under Power Angle Curve?

The Complex Power of Generator under Power Angle Curve formula is defined as product of phasor voltage and phasor current of a generator. Complex power of a generator under the power angle curve is a representation of the active and reactive power output as a function of the power angle and is represented as S = V_p*I_p or Complex Power = Phasor Voltage*Phasor Current. Phasor Voltage refers to a complex quantity that represents the amplitude, phase angle, and frequency of an alternating voltage (AC) in a simplified and convenient form & Phasor Current refers to a complex quantity that represents the amplitude, phase angle, and frequency of an alternating current (AC) in a concise and convenient form.

How to calculate Complex Power of Generator under Power Angle Curve?

The Complex Power of Generator under Power Angle Curve formula is defined as product of phasor voltage and phasor current of a generator. Complex power of a generator under the power angle curve is a representation of the active and reactive power output as a function of the power angle is calculated using Complex Power = Phasor Voltage*Phasor Current. To calculate Complex Power of Generator under Power Angle Curve, you need Phasor Voltage (V_p) & Phasor Current (I_p). With our tool, you need to enter the respective value for Phasor Voltage & Phasor Current 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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