Actual Power Factor Correction Calculator

✖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.ⓘ Initial Power Factor [PF_initial]			+10% -10%
✖Corrected Current in AC Circuit is used to improve the power factor of AC circuits by reducing the reactive power present in the circuit.ⓘ Corrected Current in AC Circuit [I_corr]			+10% -10%

✖Power Factor is defined as the ratio of the actual electrical power dissipated by an AC circuit to the product of current and voltage.ⓘ Actual Power Factor Correction [PF]

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Formula

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Actual Power Factor Correction

Formula

`"PF" = cos(tanh(tan("PF"_{"initial"})-"I"_{"corr"}))`

Example

`"0.540302"=cos(tanh(tan("0.98")-"16.1A"))`

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Actual Power Factor Correction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Factor = cos(tanh(tan(Initial Power Factor)-Corrected Current in AC Circuit))
PF = cos(tanh(tan(PF_initial)-I_corr))
This formula uses 3 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., 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)., tanh(Number)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Initial Power Factor: 0.98 --> No Conversion Required
Corrected Current in AC Circuit: 16.1 Ampere --> 16.1 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PF = cos(tanh(tan(PF_initial)-I_corr)) --> cos(tanh(tan(0.98)-16.1))

Evaluating ... ...

PF = 0.540302305868484

STEP 3: Convert Result to Output's Unit

0.540302305868484 --> No Conversion Required

FINAL ANSWER

0.540302305868484 ≈ 0.540302 <-- Power Factor

(Calculation completed in 00.004 seconds)

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Credits

Created by Mohamed Fazil V

Acharya institute of technology (AIT), Bengaluru

Mohamed Fazil V has created this Calculator and 50+ more calculators!

Verified by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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Actual Power Factor Correction Formula

Power Factor = cos(tanh(tan(Initial Power Factor)-Corrected Current in AC Circuit))
PF = cos(tanh(tan(PF_initial)-I_corr))

What is the Actual Power Factor Correction ?

Power factor correction (PFC) is a technique used in electrical engineering to improve the efficiency of power delivery in AC electrical systems. The "actual" power factor correction typically refers to the process of actively adjusting the power factor of a system to bring it closer to unity (1.0). Power factor is the ratio of real power (measured in watts) to apparent power (measured in volt-amperes) in an AC circuit.

How to Calculate Actual Power Factor Correction?

Actual Power Factor Correction calculator uses Power Factor = cos(tanh(tan(Initial Power Factor)-Corrected Current in AC Circuit)) to calculate 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 calculate Actual Power Factor Correction using this online calculator? To use this online calculator for Actual Power Factor Correction, enter Initial Power Factor (PF_initial) & Corrected Current in AC Circuit (I_corr) and hit the calculate button. Here is how the Actual Power Factor Correction calculation can be explained with given input values -> 0.540302 = cos(tanh(tan(0.98)-16.1)).

FAQ

What is Actual Power Factor Correction?

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 and is represented as PF = cos(tanh(tan(PF_initial)-I_corr)) or Power Factor = cos(tanh(tan(Initial Power Factor)-Corrected Current in AC Circuit)). 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 & Corrected Current in AC Circuit is used to improve the power factor of AC circuits by reducing the reactive power present in the circuit.

How to calculate Actual Power Factor Correction?

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 is calculated using Power Factor = cos(tanh(tan(Initial Power Factor)-Corrected Current in AC Circuit)). To calculate Actual Power Factor Correction, you need Initial Power Factor (PF_initial) & Corrected Current in AC Circuit (I_corr). With our tool, you need to enter the respective value for Initial Power Factor & Corrected Current in AC Circuit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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