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Speed of Synchronous Machine Formula

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Speed of Synchronous Machine is defined as the product of number of poles in machine and the rotor speed of the machine. Check FAQs

ω es = (\frac{P}{2}) \cdot ω r

ω_es - Speed of Synchronous Machine?P - Number of Machine Poles?ω_r - Rotor Speed of Synchronous Machine?

Speed of Synchronous Machine Example

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Here is how the Speed of Synchronous Machine equation looks like with Values.

Here is how the Speed of Synchronous Machine equation looks like with Units.

Here is how the Speed of Synchronous Machine equation looks like.

121 = (\frac{2}{2}) \cdot 121

121m/s = (\frac{2}{2}) \cdot 121m/s

121 = (\frac{2}{2}) \cdot 121

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Speed of Synchronous Machine Solution

Follow our step by step solution on how to calculate Speed of Synchronous Machine?

FIRST Step Consider the formula

ω es = (\frac{P}{2}) \cdot ω r

Next Step Substitute values of Variables

∴

ω es = (\frac{2}{2}) \cdot 121m/s

Next Step Prepare to Evaluate

∴

ω es = (\frac{2}{2}) \cdot 121

LAST Step Evaluate

∴

ω es = 121m/s

Speed of Synchronous Machine Formula Elements

Variables

Speed of Synchronous Machine

Speed of Synchronous Machine is defined as the product of number of poles in machine and the rotor speed of the machine.

Symbol: ω_es

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Speed of Synchronous Machine

Number of Machine Poles

Number of Machine Poles is defined as the number of magnetic poles present on a rotor or a stator.

Symbol: P

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Machine Poles

Rotor Speed of Synchronous Machine

Rotor Speed of Synchronous Machine is defined as the speed actual speed at which the synchronous machine rotates.

Symbol: ω_r

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Rotor Speed of Synchronous Machine

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 Inertia Constant of Machine

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

Go Rotor Acceleration

P a = P i - P ep

Go Lossless Power Delivered in Synchronous Machine

P l = P max \cdot \sin (δ)

How to Evaluate Speed of Synchronous Machine?

Speed of Synchronous Machine evaluator uses Speed of Synchronous Machine = (Number of Machine Poles/2)*Rotor Speed of Synchronous Machine to evaluate the Speed of Synchronous Machine, Speed of Synchronous Machine in power system stability is defined as the product of number of poles in the machine and the rotor speed of that machine. Speed of Synchronous Machine is denoted by ω_es symbol.

How to evaluate Speed of Synchronous Machine using this online evaluator? To use this online evaluator for Speed of Synchronous Machine, enter Number of Machine Poles (P) & Rotor Speed of Synchronous Machine (ω_r) and hit the calculate button.

FAQs on Speed of Synchronous Machine

What is the formula to find Speed of Synchronous Machine?

The formula of Speed of Synchronous Machine is expressed as Speed of Synchronous Machine = (Number of Machine Poles/2)*Rotor Speed of Synchronous Machine. Here is an example- 120 = (2/2)*121.

How to calculate Speed of Synchronous Machine?

With Number of Machine Poles (P) & Rotor Speed of Synchronous Machine (ω_r) we can find Speed of Synchronous Machine using the formula - Speed of Synchronous Machine = (Number of Machine Poles/2)*Rotor Speed of Synchronous Machine.

Can the Speed of Synchronous Machine be negative?

No, the Speed of Synchronous Machine, measured in Speed cannot be negative.

Which unit is used to measure Speed of Synchronous Machine?

Speed of Synchronous Machine is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Speed of Synchronous Machine can be measured.

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Speed of Synchronous Machine Formula

Speed of Synchronous Machine Example

Speed of Synchronous Machine Solution

Speed of Synchronous Machine Formula Elements

Other formulas in Power System Stability category

How to Evaluate Speed of Synchronous Machine?

FAQs on Speed of Synchronous Machine

Variable Name