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Inertia Constant of Machine Formula

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Inertia Constant of machine is the ratio of the product of three-phase MVA rating of the machine and the inertia constant in MJ/MVA to the product of 180 and the frequency. Check FAQs

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

M - Inertia Constant of Machine?G - Three Phase MVA Rating of Machine?H - Constant of Inertia?fs - Synchronous Frequency?

Inertia Constant of Machine Example

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Here is how the Inertia Constant of Machine equation looks like with Values.

Here is how the Inertia Constant of Machine equation looks like with Units.

Here is how the Inertia Constant of Machine equation looks like.

0.0591 = \frac{15 \cdot 39}{180 \cdot 55}

0.0591 = \frac{15 \cdot 39kg·m²}{180 \cdot 55Hz}

0.0591 = \frac{15 \cdot 39}{180 \cdot 55}

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Inertia Constant of Machine Solution

Follow our step by step solution on how to calculate Inertia Constant of Machine?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M = \frac{15 \cdot 39kg·m²}{180 \cdot 55Hz}

Next Step Prepare to Evaluate

∴

M = \frac{15 \cdot 39}{180 \cdot 55}

Next Step Evaluate

∴

M = 0.0590909090909091

LAST Step Rounding Answer

∴

M = 0.0591

Inertia Constant of Machine Formula Elements

Variables

Inertia Constant of Machine

Inertia Constant of machine is the ratio of the product of three-phase MVA rating of the machine and the inertia constant in MJ/MVA to the product of 180 and the frequency.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Inertia Constant of Machine

Three Phase MVA Rating of Machine

Three Phase MVA Rating of Machine is also known as base MVA of a machine that is a crucial parameter to provide the per unit parameter in a synchronous generator.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Three Phase MVA Rating of Machine

Constant of Inertia

Constant of Inertia is defined as the ratio of kinetic energy stored at the synchronous speed to the generator kVA or MVA rating.

Symbol: H

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Constant of Inertia

Synchronous Frequency

Synchronous Frequency is defined as the frequency in which the synchronous machine operates in steady-state conditions.

Symbol: fs

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Synchronous Frequency

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 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 Inertia Constant of Machine?

Inertia Constant of Machine evaluator uses Inertia Constant of Machine = (Three Phase MVA Rating of Machine*Constant of Inertia)/(180*Synchronous Frequency) to evaluate the Inertia Constant of Machine, Inertia Constant of Machine is the ratio of Inertia Constant of machine is the ratio of the product of three-phase MVA rating of the machine and the inertia constant in MJ/MVA to the product of 180 and the synchronous frequency. Inertia Constant of Machine is denoted by M symbol.

How to evaluate Inertia Constant of Machine using this online evaluator? To use this online evaluator for Inertia Constant of Machine, enter Three Phase MVA Rating of Machine (G), Constant of Inertia (H) & Synchronous Frequency (fs) and hit the calculate button.

FAQs on Inertia Constant of Machine

What is the formula to find Inertia Constant of Machine?

The formula of Inertia Constant of Machine is expressed as Inertia Constant of Machine = (Three Phase MVA Rating of Machine*Constant of Inertia)/(180*Synchronous Frequency). Here is an example- 0.059091 = (15*39)/(180*55).

How to calculate Inertia Constant of Machine?

With Three Phase MVA Rating of Machine (G), Constant of Inertia (H) & Synchronous Frequency (fs) we can find Inertia Constant of Machine using the formula - Inertia Constant of Machine = (Three Phase MVA Rating of Machine*Constant of Inertia)/(180*Synchronous Frequency).

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Inertia Constant of Machine Formula

Inertia Constant of Machine Example

Inertia Constant of Machine Solution

Inertia Constant of Machine Formula Elements

Other formulas in Power System Stability category

How to Evaluate Inertia Constant of Machine?

FAQs on Inertia Constant of Machine

Variable Name