Complex Power of Generator under Power Angle Curve Formula

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Complex Power of Generator is defined as the product of the RMS value of the phasor voltage and conjugate of the phasor current. Check FAQs
S=VpIp
S - Complex Power?Vp - Phasor Voltage?Ip - Phasor Current?

Complex Power of Generator under Power Angle Curve Example

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With units
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Here is how the Complex Power of Generator under Power Angle Curve equation looks like with Values.

Here is how the Complex Power of Generator under Power Angle Curve equation looks like with Units.

Here is how the Complex Power of Generator under Power Angle Curve equation looks like.

1282.42Edit=74Edit17.33Edit
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Complex Power of Generator under Power Angle Curve Solution

Follow our step by step solution on how to calculate Complex Power of Generator under Power Angle Curve?

FIRST Step Consider the formula
S=VpIp
Next Step Substitute values of Variables
S=74V17.33A
Next Step Prepare to Evaluate
S=7417.33
Next Step Evaluate
S=1282.42W
LAST Step Convert to Output's Unit
S=1282.42VA

Complex Power of Generator under Power Angle Curve Formula Elements

Variables
Complex Power
Complex Power of Generator is defined as the product of the RMS value of the phasor voltage and conjugate of the phasor current.
Symbol: S
Measurement: PowerUnit: VA
Note: Value should be greater than 0.
Phasor Voltage
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.
Symbol: Vp
Measurement: Electric PotentialUnit: V
Note: Value should be greater than 0.
Phasor Current
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.
Symbol: Ip
Measurement: Electric CurrentUnit: A
Note: Value should be greater than 0.

Other formulas in Power System Stability category

​Go Kinetic Energy of Rotor
KE=(12)Jωs210-6
​Go Speed of Synchronous Machine
ωes=(P2)ωr
​Go Inertia Constant of Machine
M=GH180fs
​Go Rotor Acceleration
Pa=Pi-Pep

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

Complex Power of Generator under Power Angle Curve evaluator uses Complex Power = Phasor Voltage*Phasor Current to evaluate 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 evaluate Complex Power of Generator under Power Angle Curve using this online evaluator? To use this online evaluator for Complex Power of Generator under Power Angle Curve, enter Phasor Voltage (Vp) & Phasor Current (Ip) and hit the calculate button.

FAQs on Complex Power of Generator under Power Angle Curve

What is the formula to find Complex Power of Generator under Power Angle Curve?
The formula of Complex Power of Generator under Power Angle Curve is expressed as Complex Power = Phasor Voltage*Phasor Current. Here is an example- 1282.42 = 74*17.33.
How to calculate Complex Power of Generator under Power Angle Curve?
With Phasor Voltage (Vp) & Phasor Current (Ip) we can find Complex Power of Generator under Power Angle Curve using the formula - Complex Power = Phasor Voltage*Phasor Current.
Can the Complex Power of Generator under Power Angle Curve be negative?
No, the Complex Power of Generator under Power Angle Curve, measured in Power cannot be negative.
Which unit is used to measure Complex Power of Generator under Power Angle Curve?
Complex Power of Generator under Power Angle Curve is usually measured using the Volt Ampere[VA] for Power. Watt[VA], Kilowatt[VA], Milliwatt[VA] are the few other units in which Complex Power of Generator under Power Angle Curve can be measured.
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