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Compensated Reactive Power for Mechanical Loads Power Factor Formula

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Compensated Reactive Power 2 to be compensated due to total reactive components of lighting power and mechanical loads. Check FAQs

Q 2 = P max \cdot (\tan (φ 1) - \tan (φ 2))

Q₂ - Compensated Reactive Power 2?P_max - Maximum Load Power?φ₁ - Inverse Cosine 1?φ₂ - Inverse Cosine 2?

Compensated Reactive Power for Mechanical Loads Power Factor Example

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Here is how the Compensated Reactive Power for Mechanical Loads Power Factor equation looks like with Values.

Here is how the Compensated Reactive Power for Mechanical Loads Power Factor equation looks like with Units.

Here is how the Compensated Reactive Power for Mechanical Loads Power Factor equation looks like.

43.9584 = 1.02 \cdot (\tan (46) - \tan (55))

43.9584VAR = 1.02W \cdot (\tan (46) - \tan (55))

43.9584 = 1.02 \cdot (\tan (46) - \tan (55))

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Compensated Reactive Power for Mechanical Loads Power Factor Solution

Follow our step by step solution on how to calculate Compensated Reactive Power for Mechanical Loads Power Factor?

FIRST Step Consider the formula

Q 2 = P max \cdot (\tan (φ 1) - \tan (φ 2))

Next Step Substitute values of Variables

∴

Q 2 = 1.02W \cdot (\tan (46) - \tan (55))

Next Step Prepare to Evaluate

∴

Q 2 = 1.02 \cdot (\tan (46) - \tan (55))

Next Step Evaluate

∴

Q 2 = 43.9584038669877W

Next Step Convert to Output's Unit

∴

Q 2 = 43.9584038669877VAR

LAST Step Rounding Answer

∴

Q 2 = 43.9584VAR

Compensated Reactive Power for Mechanical Loads Power Factor Formula Elements

Variables

Functions

Compensated Reactive Power 2

Compensated Reactive Power 2 to be compensated due to total reactive components of lighting power and mechanical loads.

Symbol: Q₂

Measurement: PowerUnit: VAR

Note: Value should be greater than 0.

Formulas to find Compensated Reactive Power 2

Maximum Load Power

Maximum Load Power is defined as the maximum power that can be transferred from the input of the circuit to its output.

Symbol: P_max

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Maximum Load Power

Inverse Cosine 1

Inverse Cosine 1 of Power Factor before compensation .

Symbol: φ₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Inverse Cosine 1

Inverse Cosine 2

Inverse Cosine 2 of target power factor.

Symbol: φ₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Inverse Cosine 2

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Power Factor Correction category

Go Maximum Power for Iron Loss in Power Factor Correction

P max = 0.02 \cdot S tfr

Go Copper Loss of Power Factor Correction

Cu loss = (\frac{Z v}{100}) \cdot S tfr

Go Actual Power Factor Correction

PF = \cos (\tanh (\tan (PF initial) - I corr))

Go Active Power in Single Phase AC Circuits

P dc = V ap \cdot I corr \cdot \cos (θ ph)

How to Evaluate Compensated Reactive Power for Mechanical Loads Power Factor?

Compensated Reactive Power for Mechanical Loads Power Factor evaluator uses Compensated Reactive Power 2 = Maximum Load Power*(tan(Inverse Cosine 1)-tan(Inverse Cosine 2)) to evaluate the Compensated Reactive Power 2, Compensated Reactive Power for Mechanical Loads Power Factor required to be supplied or absorbed by a power system to correct for the imbalance between reactive power generation and consumption. It is particularly important in systems where there are significant inductive or capacitive loads, as these can result in poor power factor and inefficient use of electrical power. Compensated Reactive Power 2 is denoted by Q₂ symbol.

How to evaluate Compensated Reactive Power for Mechanical Loads Power Factor using this online evaluator? To use this online evaluator for Compensated Reactive Power for Mechanical Loads Power Factor, enter Maximum Load Power (P_max), Inverse Cosine 1 (φ₁) & Inverse Cosine 2 (φ₂) and hit the calculate button.

FAQs on Compensated Reactive Power for Mechanical Loads Power Factor

What is the formula to find Compensated Reactive Power for Mechanical Loads Power Factor?

The formula of Compensated Reactive Power for Mechanical Loads Power Factor is expressed as Compensated Reactive Power 2 = Maximum Load Power*(tan(Inverse Cosine 1)-tan(Inverse Cosine 2)). Here is an example- 1307.202 = 1.02*(tan(46)-tan(55)).

How to calculate Compensated Reactive Power for Mechanical Loads Power Factor?

With Maximum Load Power (P_max), Inverse Cosine 1 (φ₁) & Inverse Cosine 2 (φ₂) we can find Compensated Reactive Power for Mechanical Loads Power Factor using the formula - Compensated Reactive Power 2 = Maximum Load Power*(tan(Inverse Cosine 1)-tan(Inverse Cosine 2)). This formula also uses Tangent (tan) function(s).

Can the Compensated Reactive Power for Mechanical Loads Power Factor be negative?

No, the Compensated Reactive Power for Mechanical Loads Power Factor, measured in Power cannot be negative.

Which unit is used to measure Compensated Reactive Power for Mechanical Loads Power Factor?

Compensated Reactive Power for Mechanical Loads Power Factor is usually measured using the Volt Ampere Reactive[VAR] for Power. Watt[VAR], Kilowatt[VAR], Milliwatt[VAR] are the few other units in which Compensated Reactive Power for Mechanical Loads Power Factor can be measured.

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Compensated Reactive Power for Mechanical Loads Power Factor Formula

Compensated Reactive Power for Mechanical Loads Power Factor Example

Compensated Reactive Power for Mechanical Loads Power Factor Solution

Compensated Reactive Power for Mechanical Loads Power Factor Formula Elements

Other formulas in Power Factor Correction category

How to Evaluate Compensated Reactive Power for Mechanical Loads Power Factor?

FAQs on Compensated Reactive Power for Mechanical Loads Power Factor

Variable Name