Output Power of Generator under Power System Stability 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%
✖Terminal Voltage is defined as the potential difference across the terminals of a load when the circuit is switched on.ⓘ Terminal Voltage [V_t]			+10% -10%
✖Power Angle is defined as the angle between voltage and current in a phasor.ⓘ Power Angle [ζ_op]			+10% -10%
✖Magnetic Reluctance is defined as the ratio of force and flux of an electric circuit.ⓘ Magnetic Reluctance [x_d]			+10% -10%

✖Output Power of Generator is the voltage and watts it produces when a supply voltage is applied.ⓘ Output Power of Generator under Power System Stability [P_g]

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Formula

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Output Power of Generator under Power System Stability

Formula

`"P"_{"g"} = ("E"_{"g"}*"V"_{"t"}*sin("ζ"_{"op"}))/"x"_{"d"}`

Example

`"0.096W"=("160V"*"3V"*sin("90°"))/"5000AT/Wb"`

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Output Power of Generator under Power System Stability Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Power of Generator = (EMF of Generator*Terminal Voltage*sin(Power Angle))/Magnetic Reluctance
P_g = (E_g*V_t*sin(ζ_op))/x_d
This formula uses 1 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)

Variables Used

Output Power of Generator - (Measured in Watt) - Output Power of Generator is the voltage and watts it produces when a supply voltage is applied.
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.
Terminal Voltage - (Measured in Volt) - Terminal Voltage is defined as the potential difference across the terminals of a load when the circuit is switched on.
Power Angle - (Measured in Radian) - Power Angle is defined as the angle between voltage and current in a phasor.
Magnetic Reluctance - (Measured in Ampere-Turn per Weber) - Magnetic Reluctance is defined as the ratio of force and flux of an electric circuit.

STEP 1: Convert Input(s) to Base Unit

EMF of Generator: 160 Volt --> 160 Volt No Conversion Required
Terminal Voltage: 3 Volt --> 3 Volt No Conversion Required
Power Angle: 90 Degree --> 1.5707963267946 Radian (Check conversion here)
Magnetic Reluctance: 5000 Ampere-Turn per Weber --> 5000 Ampere-Turn per Weber No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_g = (E_g*V_t*sin(ζ_op))/x_d --> (160*3*sin(1.5707963267946))/5000

Evaluating ... ...

P_g = 0.096

STEP 3: Convert Result to Output's Unit

0.096 Watt --> No Conversion Required

FINAL ANSWER

0.096 Watt <-- Output Power of Generator

(Calculation completed in 00.020 seconds)

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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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

Output Power of Generator under Power System Stability Formula

Output Power of Generator = (EMF of Generator*Terminal Voltage*sin(Power Angle))/Magnetic Reluctance
P_g = (E_g*V_t*sin(ζ_op))/x_d

What is Output Power of Generator?

Output Power of Generator is defined as the electrical power produced by an electrical circuit or load. The output power of generator is the product of voltage, current and power factor. The rated power of a generator under specific condition is the rated power that ensures the performance of a generating system.

How to Calculate Output Power of Generator under Power System Stability?

Output Power of Generator under Power System Stability calculator uses Output Power of Generator = (EMF of Generator*Terminal Voltage*sin(Power Angle))/Magnetic Reluctance to calculate the Output Power of Generator, Output Power of Generator under Power System Stability is defined as the rated power in which the ratio of the the product of generator emf, terminal voltage and power angle to the magnetic reluctance is used to find the output power. Output Power of Generator is denoted by P_g symbol.

How to calculate Output Power of Generator under Power System Stability using this online calculator? To use this online calculator for Output Power of Generator under Power System Stability, enter EMF of Generator (E_g), Terminal Voltage (V_t), Power Angle (ζ_op) & Magnetic Reluctance (x_d) and hit the calculate button. Here is how the Output Power of Generator under Power System Stability calculation can be explained with given input values -> 0.096 = (160*3*sin(1.5707963267946))/5000.

FAQ

What is Output Power of Generator under Power System Stability?

Output Power of Generator under Power System Stability is defined as the rated power in which the ratio of the the product of generator emf, terminal voltage and power angle to the magnetic reluctance is used to find the output power and is represented as P_g = (E_g*V_t*sin(ζ_op))/x_d or Output Power of Generator = (EMF of Generator*Terminal Voltage*sin(Power Angle))/Magnetic Reluctance. 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, Terminal Voltage is defined as the potential difference across the terminals of a load when the circuit is switched on, Power Angle is defined as the angle between voltage and current in a phasor & Magnetic Reluctance is defined as the ratio of force and flux of an electric circuit.

How to calculate Output Power of Generator under Power System Stability?

Output Power of Generator under Power System Stability is defined as the rated power in which the ratio of the the product of generator emf, terminal voltage and power angle to the magnetic reluctance is used to find the output power is calculated using Output Power of Generator = (EMF of Generator*Terminal Voltage*sin(Power Angle))/Magnetic Reluctance. To calculate Output Power of Generator under Power System Stability, you need EMF of Generator (E_g), Terminal Voltage (V_t), Power Angle (ζ_op) & Magnetic Reluctance (x_d). With our tool, you need to enter the respective value for EMF of Generator, Terminal Voltage, Power Angle & Magnetic Reluctance 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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