Compensated Reactive Power for Mechanical Loads Power Factor Calculator

✖Maximum Load Power is defined as the maximum power that can be transferred from the input of the circuit to its output.ⓘ Maximum Load Power [P_max]			+10% -10%
✖Inverse Cosine 1 of Power Factor before compensation .ⓘ Inverse Cosine 1 [φ₁]			+10% -10%
✖Inverse Cosine 2 of target power factor.ⓘ Inverse Cosine 2 [φ₂]			+10% -10%

✖Compensated Reactive Power 2 to be compensated due to total reactive components of lighting power and mechanical loads.ⓘ Compensated Reactive Power for Mechanical Loads Power Factor [Q₂]

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Formula

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Compensated Reactive Power for Mechanical Loads Power Factor

Formula

`"Q"_{"2"} = "P"_{"max"}*(tan("φ"_{"1"})-tan("φ"_{"2"}))`

Example

`"43.9584VAR"="1.02W"*(tan("46")-tan("55"))`

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Compensated Reactive Power for Mechanical Loads Power Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compensated Reactive Power 2 = Maximum Load Power*(tan(Inverse Cosine 1)-tan(Inverse Cosine 2))
Q₂ = P_max*(tan(φ₁)-tan(φ₂))
This formula uses 1 Functions, 4 Variables

Functions Used

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)

Variables Used

Compensated Reactive Power 2 - (Measured in Watt) - Compensated Reactive Power 2 to be compensated due to total reactive components of lighting power and mechanical loads.
Maximum Load Power - (Measured in Watt) - Maximum Load Power is defined as the maximum power that can be transferred from the input of the circuit to its output.
Inverse Cosine 1 - Inverse Cosine 1 of Power Factor before compensation .
Inverse Cosine 2 - Inverse Cosine 2 of target power factor.

STEP 1: Convert Input(s) to Base Unit

Maximum Load Power: 1.02 Watt --> 1.02 Watt No Conversion Required
Inverse Cosine 1: 46 --> No Conversion Required
Inverse Cosine 2: 55 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q₂ = P_max*(tan(φ₁)-tan(φ₂)) --> 1.02*(tan(46)-tan(55))

Evaluating ... ...

Q₂ = 43.9584038669877

STEP 3: Convert Result to Output's Unit

43.9584038669877 Watt -->43.9584038669877 Volt Ampere Reactive (Check conversion here)

FINAL ANSWER

43.9584038669877 ≈ 43.9584 Volt Ampere Reactive <-- Compensated Reactive Power 2

(Calculation completed in 00.004 seconds)

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Acharya institute of technology (AIT), Bengaluru

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< 7 Power Factor Correction Calculators

Compensated Reactive Power for Mechanical Loads Power Factor

Go Compensated Reactive Power 2 = Maximum Load Power*(tan(Inverse Cosine 1)-tan(Inverse Cosine 2))

Actual Power Factor Correction

Go Power Factor = cos(tanh(tan(Initial Power Factor)-Corrected Current in AC Circuit))

Active Power in Three Phase (L-L) AC Circuits

Go Active Power in DC Circuit = sqrt(3)*Line Voltage*Line Current*cos(Phase Angle)

Capacitor Banking Reactive Power

Go Capacitor Banking Reactive = Capacitance*2*pi*Frequency in Capacitor Banking*(Voltage)^2*10^-9

Active Power in Single Phase AC Circuits

Go Active Power in DC Circuit = Voltage*Corrected Current in AC Circuit*cos(Phase Angle)

Copper Loss of Power Factor Correction

Go Copper Loss = (Impedence Voltage/100)*Transformer Stack Rating

Maximum Power for Iron Loss in Power Factor Correction

Go Maximum Load Power = 0.02*Transformer Stack Rating

Compensated Reactive Power for Mechanical Loads Power Factor Formula

Compensated Reactive Power 2 = Maximum Load Power*(tan(Inverse Cosine 1)-tan(Inverse Cosine 2))
Q₂ = P_max*(tan(φ₁)-tan(φ₂))

What is Compensated Reactive Power for Mechanical Loads Power Factor ?

The compensated reactive power for mechanical loads power factor refers to the amount of reactive power that needs to be supplied or absorbed in a power system to compensate for the reactive power associated with lighting and mechanical loads, in order to achieve a desired overall power factor.

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

Compensated Reactive Power for Mechanical Loads Power Factor calculator uses Compensated Reactive Power 2 = Maximum Load Power*(tan(Inverse Cosine 1)-tan(Inverse Cosine 2)) to calculate 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 calculate Compensated Reactive Power for Mechanical Loads Power Factor using this online calculator? To use this online calculator 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. Here is how the Compensated Reactive Power for Mechanical Loads Power Factor calculation can be explained with given input values -> 1307.202 = 1.02*(tan(46)-tan(55)).

FAQ

What is Compensated Reactive Power for Mechanical Loads Power Factor?

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 and is represented as Q₂ = P_max*(tan(φ₁)-tan(φ₂)) or Compensated Reactive Power 2 = Maximum Load Power*(tan(Inverse Cosine 1)-tan(Inverse Cosine 2)). Maximum Load Power is defined as the maximum power that can be transferred from the input of the circuit to its output, Inverse Cosine 1 of Power Factor before compensation & Inverse Cosine 2 of target power factor.

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

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 is calculated using Compensated Reactive Power 2 = Maximum Load Power*(tan(Inverse Cosine 1)-tan(Inverse Cosine 2)). To calculate Compensated Reactive Power for Mechanical Loads Power Factor, you need Maximum Load Power (P_max), Inverse Cosine 1 (φ₁) & Inverse Cosine 2 (φ₂). With our tool, you need to enter the respective value for Maximum Load Power, Inverse Cosine 1 & Inverse Cosine 2 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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