Real Power of Generator under Power Angle Curve Calculator

✖EMF of Generator is defined as the energy per unit electric charge that is imparted by an energy source, such as an electric generator or a battery.ⓘ EMF of Generator [E_g]			+10% -10%
✖Voltage of Infinite Bus is defined as the constant voltage maintained by this idealized power source under all conditions.ⓘ Voltage of Infinite Bus [V]			+10% -10%
✖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.ⓘ Synchronous Reactance [X_s]			+10% -10%
✖Electrical Power Angle is the angular displacement between the rotor and stator position in the magnetic field of a synchronous machine, also known as the Load Angle used in power angle curve.ⓘ Electrical Power Angle [δ]			+10% -10%

✖Real Power is defined as the actual power consumed by a circuit or the actual power delivered by a source, such as a generator.ⓘ Real Power of Generator under Power Angle Curve [P_e]

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Real Power of Generator under Power Angle Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Real Power = (modulus(EMF of Generator)*modulus(Voltage of Infinite Bus))/Synchronous Reactance*sin(Electrical Power Angle)
P_e = (modulus(E_g)*modulus(V))/X_s*sin(δ)
This formula uses 2 Functions, 5 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
modulus - Modulus of a number is the remainder when that number is divided by another number., modulus

Variables Used

Real Power - (Measured in Watt) - Real Power is defined as the actual power consumed by a circuit or the actual power delivered by a source, such as a generator.
EMF of Generator - (Measured in Volt) - EMF of Generator is defined as the energy per unit electric charge that is imparted by an energy source, such as an electric generator or a battery.
Voltage of Infinite Bus - (Measured in Volt) - Voltage of Infinite Bus is defined as the constant voltage maintained by this idealized power source under all conditions.
Synchronous Reactance - (Measured in Ohm) - 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.
Electrical Power Angle - (Measured in Radian) - Electrical Power Angle is the angular displacement between the rotor and stator position in the magnetic field of a synchronous machine, also known as the Load Angle used in power angle curve.

STEP 1: Convert Input(s) to Base Unit

EMF of Generator: 160 Volt --> 160 Volt No Conversion Required
Voltage of Infinite Bus: 11 Volt --> 11 Volt No Conversion Required
Synchronous Reactance: 57 Ohm --> 57 Ohm No Conversion Required
Electrical Power Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_e = (modulus(E_g)*modulus(V))/X_s*sin(δ) --> (modulus(160)*modulus(11))/57*sin(0.785398163397301)

Evaluating ... ...

P_e = 21.8334725418972

STEP 3: Convert Result to Output's Unit

21.8334725418972 Watt --> No Conversion Required

FINAL ANSWER

21.8334725418972 ≈ 21.83347 Watt <-- Real 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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< 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

Real Power of Generator under Power Angle Curve Formula

LaTeX Go

Real Power = (modulus(EMF of Generator)*modulus(Voltage of Infinite Bus))/Synchronous Reactance*sin(Electrical Power Angle)
P_e = (modulus(E_g)*modulus(V))/X_s*sin(δ)

What is the Real Power of generator?

The real power output of a generator refers to the actual electrical power that the generator delivers to the electrical grid or system for consumption, which is the is the component of electrical power that performs useful work and generally considered for mechanical power.

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

Real Power of Generator under Power Angle Curve calculator uses Real Power = (modulus(EMF of Generator)*modulus(Voltage of Infinite Bus))/Synchronous Reactance*sin(Electrical Power Angle) to calculate the Real Power, The Real Power of Generator under Power Angle Curve formula is defined as the actual electrical energy that is available for consumption by loads. It is the power that performs useful work, such as turning motors, producing light, or operating electronic devices. Real Power is denoted by P_e symbol.

How to calculate Real Power of Generator under Power Angle Curve using this online calculator? To use this online calculator for Real Power of Generator under Power Angle Curve, enter EMF of Generator (E_g), Voltage of Infinite Bus (V), Synchronous Reactance (X_s) & Electrical Power Angle (δ) and hit the calculate button. Here is how the Real Power of Generator under Power Angle Curve calculation can be explained with given input values -> 21.83347 = (modulus(160)*modulus(11))/57*sin(0.785398163397301).

FAQ

What is Real Power of Generator under Power Angle Curve?

The Real Power of Generator under Power Angle Curve formula is defined as the actual electrical energy that is available for consumption by loads. It is the power that performs useful work, such as turning motors, producing light, or operating electronic devices and is represented as P_e = (modulus(E_g)*modulus(V))/X_s*sin(δ) or Real Power = (modulus(EMF of Generator)*modulus(Voltage of Infinite Bus))/Synchronous Reactance*sin(Electrical Power Angle). EMF of Generator is defined as the energy per unit electric charge that is imparted by an energy source, such as an electric generator or a battery, Voltage of Infinite Bus is defined as the constant voltage maintained by this idealized power source under all conditions, 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 & Electrical Power Angle is the angular displacement between the rotor and stator position in the magnetic field of a synchronous machine, also known as the Load Angle used in power angle curve.

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

The Real Power of Generator under Power Angle Curve formula is defined as the actual electrical energy that is available for consumption by loads. It is the power that performs useful work, such as turning motors, producing light, or operating electronic devices is calculated using Real Power = (modulus(EMF of Generator)*modulus(Voltage of Infinite Bus))/Synchronous Reactance*sin(Electrical Power Angle). To calculate Real Power of Generator under Power Angle Curve, you need EMF of Generator (E_g), Voltage of Infinite Bus (V), Synchronous Reactance (X_s) & Electrical Power Angle (δ). With our tool, you need to enter the respective value for EMF of Generator, Voltage of Infinite Bus, Synchronous Reactance & Electrical Power Angle 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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