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Maximum Steady State Power Transfer Formula

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Maximum Steady State Power Transfer is the maximum amount of electrical power that can be transferred through the transmission network without causing the system to lose stability. Check FAQs

P e,max = \frac{mod \underset{̲}{u} s (E g) \cdot mod \underset{̲}{u} s (V)}{X s}

P_e,max - Maximum Steady State Power Transfer?E_g - EMF of Generator?V - Voltage of Infinite Bus?X_s - Synchronous Reactance?

Maximum Steady State Power Transfer Example

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Here is how the Maximum Steady State Power Transfer equation looks like with Values.

Here is how the Maximum Steady State Power Transfer equation looks like with Units.

Here is how the Maximum Steady State Power Transfer equation looks like.

30.8772 = \frac{mod \underset{̲}{u} s (160) \cdot mod \underset{̲}{u} s (11)}{57}

30.8772V = \frac{mod \underset{̲}{u} s (160V) \cdot mod \underset{̲}{u} s (11V)}{57Ω}

30.8772 = \frac{mod \underset{̲}{u} s (160) \cdot mod \underset{̲}{u} s (11)}{57}

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Maximum Steady State Power Transfer Solution

Follow our step by step solution on how to calculate Maximum Steady State Power Transfer?

FIRST Step Consider the formula

P e,max = \frac{mod \underset{̲}{u} s (E g) \cdot mod \underset{̲}{u} s (V)}{X s}

Next Step Substitute values of Variables

∴

P e,max = \frac{mod \underset{̲}{u} s (160V) \cdot mod \underset{̲}{u} s (11V)}{57Ω}

Next Step Prepare to Evaluate

∴

P e,max = \frac{mod \underset{̲}{u} s (160) \cdot mod \underset{̲}{u} s (11)}{57}

Next Step Evaluate

∴

P e,max = 30.8771929824561V

LAST Step Rounding Answer

∴

P e,max = 30.8772V

Maximum Steady State Power Transfer Formula Elements

Variables

Functions

Maximum Steady State Power Transfer

Maximum Steady State Power Transfer is the maximum amount of electrical power that can be transferred through the transmission network without causing the system to lose stability.

Symbol: P_e,max

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Maximum Steady State Power Transfer

EMF of Generator

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.

Symbol: E_g

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find EMF of Generator

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 Bus

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: X_s

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Synchronous Reactance

modulus

Modulus of a number is the remainder when that number is divided by another number.

Syntax: modulus

Other formulas in Power System Stability category

Go Kinetic Energy of Rotor

KE = (\frac{1}{2}) \cdot J \cdot {ω s}^{2} \cdot 10^{- 6}

Go Speed of Synchronous Machine

ω es = (\frac{P}{2}) \cdot ω r

Go Inertia Constant of Machine

M = \frac{G \cdot H}{180 \cdot fs}

Go Rotor Acceleration

P a = P i - P ep

How to Evaluate Maximum Steady State Power Transfer?

Maximum Steady State Power Transfer evaluator uses Maximum Steady State Power Transfer = (modulus(EMF of Generator)*modulus(Voltage of Infinite Bus))/Synchronous Reactance to evaluate the Maximum Steady State Power Transfer, The Maximum Steady State Power Transfer formula is defined as the maximum power transfer capability under stable operating conditions without reaching a loss of synchronism or instability. Maximum Steady State Power Transfer is denoted by P_e,max symbol.

How to evaluate Maximum Steady State Power Transfer using this online evaluator? To use this online evaluator for Maximum Steady State Power Transfer, enter EMF of Generator (E_g), Voltage of Infinite Bus (V) & Synchronous Reactance (X_s) and hit the calculate button.

FAQs on Maximum Steady State Power Transfer

What is the formula to find Maximum Steady State Power Transfer?

The formula of Maximum Steady State Power Transfer is expressed as Maximum Steady State Power Transfer = (modulus(EMF of Generator)*modulus(Voltage of Infinite Bus))/Synchronous Reactance. Here is an example- 30.87719 = (modulus(160)*modulus(11))/57.

How to calculate Maximum Steady State Power Transfer?

With EMF of Generator (E_g), Voltage of Infinite Bus (V) & Synchronous Reactance (X_s) we can find Maximum Steady State Power Transfer using the formula - Maximum Steady State Power Transfer = (modulus(EMF of Generator)*modulus(Voltage of Infinite Bus))/Synchronous Reactance. This formula also uses Modulus (modulus) function(s).

Can the Maximum Steady State Power Transfer be negative?

No, the Maximum Steady State Power Transfer, measured in Electric Potential cannot be negative.

Which unit is used to measure Maximum Steady State Power Transfer?

Maximum Steady State Power Transfer is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Maximum Steady State Power Transfer can be measured.

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Maximum Steady State Power Transfer Formula

Maximum Steady State Power Transfer Example

Maximum Steady State Power Transfer Solution

Maximum Steady State Power Transfer Formula Elements

Other formulas in Power System Stability category

How to Evaluate Maximum Steady State Power Transfer?

FAQs on Maximum Steady State Power Transfer

Variable Name