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Actual Power Factor Correction Formula

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Power Factor is defined as the ratio of the actual electrical power dissipated by an AC circuit to the product of current and voltage. Check FAQs

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

PF - Power Factor?PF_initial - Initial Power Factor?I_corr - Corrected Current in AC Circuit?

Actual Power Factor Correction Example

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Here is how the Actual Power Factor Correction equation looks like with Values.

Here is how the Actual Power Factor Correction equation looks like with Units.

Here is how the Actual Power Factor Correction equation looks like.

0.5403 = \cos (\tanh (\tan (0.98) - 16.1))

0.5403 = \cos (\tanh (\tan (0.98) - 16.1A))

0.5403 = \cos (\tanh (\tan (0.98) - 16.1))

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Actual Power Factor Correction Solution

Follow our step by step solution on how to calculate Actual Power Factor Correction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

PF = \cos (\tanh (\tan (0.98) - 16.1A))

Next Step Prepare to Evaluate

∴

PF = \cos (\tanh (\tan (0.98) - 16.1))

Next Step Evaluate

∴

PF = 0.540302305868484

LAST Step Rounding Answer

∴

PF = 0.5403

Actual Power Factor Correction Formula Elements

Variables

Functions

Power Factor

Power Factor is defined as the ratio of the actual electrical power dissipated by an AC circuit to the product of current and voltage.

Symbol: PF

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Power Factor

Initial Power Factor

Initial Power Factor can be significantly different from the steady-state power factor, which is the power factor once the circuit has reached a stable operating condition.

Symbol: PF_initial

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Initial Power Factor

Corrected Current in AC Circuit

Corrected Current in AC Circuit is used to improve the power factor of AC circuits by reducing the reactive power present in the circuit.

Symbol: I_corr

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Corrected Current in AC Circuit

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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)

tanh

The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh).

Syntax: tanh(Number)

Other formulas in Power Factor Correction category

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Go Maximum Power for Iron Loss in Power Factor Correction

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Go Copper Loss of Power Factor Correction

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

Go Active Power in Single Phase AC Circuits

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

How to Evaluate Actual Power Factor Correction?

Actual Power Factor Correction evaluator uses Power Factor = cos(tanh(tan(Initial Power Factor)-Corrected Current in AC Circuit)) to evaluate the Power Factor, Actual Power Factor Correction refers to method that involves adjusting the power factor of an electrical system to bring it closer to unity, this helps to optimize the efficiency of power transmission and distribution systems. Power Factor is denoted by PF symbol.

How to evaluate Actual Power Factor Correction using this online evaluator? To use this online evaluator for Actual Power Factor Correction, enter Initial Power Factor (PF_initial) & Corrected Current in AC Circuit (I_corr) and hit the calculate button.

FAQs on Actual Power Factor Correction

What is the formula to find Actual Power Factor Correction?

The formula of Actual Power Factor Correction is expressed as Power Factor = cos(tanh(tan(Initial Power Factor)-Corrected Current in AC Circuit)). Here is an example- 0.540302 = cos(tanh(tan(0.98)-16.1)).

How to calculate Actual Power Factor Correction?

With Initial Power Factor (PF_initial) & Corrected Current in AC Circuit (I_corr) we can find Actual Power Factor Correction using the formula - Power Factor = cos(tanh(tan(Initial Power Factor)-Corrected Current in AC Circuit)). This formula also uses Cosine (cos)Tangent (tan), Hyperbolic Tangent (tanh) function(s).

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Actual Power Factor Correction Formula

Actual Power Factor Correction Example

Actual Power Factor Correction Solution

Actual Power Factor Correction Formula Elements

Other formulas in Power Factor Correction category

How to Evaluate Actual Power Factor Correction?

FAQs on Actual Power Factor Correction

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