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Active Power by Infinite Bus Formula

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Active Power of Infinite Bus is considered to be idealized and remains constant regardless of the amount of power injected or withdrawn from the bus. Check FAQs
Pinf=(V)2(R)2+(Xs)2-(V)2(R)2+(Xs)2
Pinf - Active Power of Infinite Bus?V - Voltage of Infinite Bus?R - Resistance?Xs - Synchronous Reactance?

Active Power by Infinite Bus Example

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With units
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Here is how the Active Power by Infinite Bus equation looks like with Values.

Here is how the Active Power by Infinite Bus equation looks like with Units.

Here is how the Active Power by Infinite Bus equation looks like.

2.0842Edit=(11Edit)2(2.1Edit)2+(57Edit)2-(11Edit)2(2.1Edit)2+(57Edit)2
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HomeIcon Home » Category Engineering » Category Electrical » Category Power System » fx Active Power by Infinite Bus

Active Power by Infinite Bus Solution

Follow our step by step solution on how to calculate Active Power by Infinite Bus?

FIRST Step Consider the formula
Pinf=(V)2(R)2+(Xs)2-(V)2(R)2+(Xs)2
Next Step Substitute values of Variables
∴ Pinf=(11V)2(2.1Ω)2+(57Ω)2-(11V)2(2.1Ω)2+(57Ω)2
Next Step Prepare to Evaluate
∴ Pinf=(11)2(2.1)2+(57)2-(11)2(2.1)2+(57)2
Next Step Evaluate
∴Pinf=2.08417604980442W
LAST Step Rounding Answer
∴Pinf=2.0842W

Active Power by Infinite Bus Formula Elements

Variables
Functions
Active Power of Infinite Bus
Active Power of Infinite Bus is considered to be idealized and remains constant regardless of the amount of power injected or withdrawn from the bus.
Symbol: Pinf
Measurement: PowerUnit: W
Note: Value should be greater than 0.
Formulas to find Active Power of Infinite BusOpen Variable
Voltage of Infinite Bus
Voltage of Infinite Bus is defined as the constant voltage maintained by this idealized power source under all conditions.
Symbol: V
Measurement: Electric PotentialUnit: V
Note: Value should be greater than 0.
Formulas to find Voltage of Infinite BusOpen Variable
Resistance
Resistance of infinite bus is a parameter used in mathematical models to account for voltage drops and losses in the transmission network.
Symbol: R
Measurement: Electric ResistanceUnit: Ω
Note: Value can be positive or negative.
Formulas to find ResistanceOpen Variable
Synchronous Reactance
Synchronous Reactance is defined as the internal reactance of the synchronous machine and is critical for understanding the machine's performance, especially in the context of power systems.
Symbol: Xs
Measurement: Electric ResistanceUnit: Ω
Note: Value should be greater than 0.
Formulas to find Synchronous ReactanceOpen Variable
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Other formulas in Power System Stability category

​Go Kinetic Energy of Rotor
KE=(12)⋅J⋅ωs2⋅10-6
​Go Speed of Synchronous Machine
ωes=(P2)⋅ωr
​Go Inertia Constant of Machine
M=G⋅H180⋅fs
​Go Rotor Acceleration
Pa=Pi-Pep

How to Evaluate Active Power by Infinite Bus?

Active Power by Infinite Bus evaluator uses 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) to evaluate the Active Power of Infinite Bus, The Active Power by Infinite Bus formula is defined as constant amount of power injected or withdrawn from an infinite bus. This active power is produced when more mechanical power is produced by the turbine of the generator. This is used to define the ratio of square of the voltage and square of the sum of the resistances and reactance. Active Power of Infinite Bus is denoted by Pinf symbol.

How to evaluate Active Power by Infinite Bus using this online evaluator? To use this online evaluator for Active Power by Infinite Bus, enter Voltage of Infinite Bus (V), Resistance (R) & Synchronous Reactance (Xs) and hit the calculate button.

FAQs on Active Power by Infinite Bus

What is the formula to find Active Power by Infinite Bus?
The formula of Active Power by Infinite Bus is expressed as 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). Here is an example- 2.084305 = (11)^2/sqrt((2.1)^2+(57)^2)-(11)^2/((2.1)^2+(57)^2).
How to calculate Active Power by Infinite Bus?
With Voltage of Infinite Bus (V), Resistance (R) & Synchronous Reactance (Xs) we can find Active Power by Infinite Bus using the formula - 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). This formula also uses Square Root (sqrt) function(s).
Can the Active Power by Infinite Bus be negative?
No, the Active Power by Infinite Bus, measured in Power cannot be negative.
Which unit is used to measure Active Power by Infinite Bus?
Active Power by Infinite Bus is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Active Power by Infinite Bus can be measured.
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