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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Stability Formulas PDF PDF Image

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)

You are here -

Home » Engineering » Electrical » Power System » Power System Stability » Complex Power of Generator under Power Angle Curve

Credits

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

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

< 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

Complex Power of Generator under Power Angle Curve Formula

LaTeX Go

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.

Home

FREE PDFs

🔍 Search