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Power Factor using Line Losses (Single-Phase Three-Wire OS) Formula

GoPower Factor using Area of X-Section(Single-Phase Three-Wire OS) Formula

GoPower Factor using Load Current (Single-Phase Three-Wire OS) Formula

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The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit. Check FAQs

PF = (\frac{P}{V m}) \cdot \frac{\sqrt{ρ \cdot L}}{P loss \cdot A}

PF - Power Factor?P - Power Transmitted?V_m - Maximum Voltage Overhead AC?ρ - Resistivity?L - Length of Overhead AC Wire?P_loss - Line Losses?A - Area of Overhead AC Wire?

Power Factor using Line Losses (Single-Phase Three-Wire OS) Example

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Here is how the Power Factor using Line Losses (Single-Phase Three-Wire OS) equation looks like with Values.

Here is how the Power Factor using Line Losses (Single-Phase Three-Wire OS) equation looks like with Units.

Here is how the Power Factor using Line Losses (Single-Phase Three-Wire OS) equation looks like.

0.0297 = (\frac{890}{62}) \cdot \frac{\sqrt{1.7E-5 \cdot 10.63}}{8.23 \cdot 0.79}

0.0297 = (\frac{890W}{62V}) \cdot \frac{\sqrt{1.7E-5Ω*m \cdot 10.63m}}{8.23W \cdot 0.79m²}

0.0297 = (\frac{890}{62}) \cdot \frac{\sqrt{1.7E-5 \cdot 10.63}}{8.23 \cdot 0.79}

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Power Factor using Line Losses (Single-Phase Three-Wire OS) Solution

Follow our step by step solution on how to calculate Power Factor using Line Losses (Single-Phase Three-Wire OS)?

FIRST Step Consider the formula

PF = (\frac{P}{V m}) \cdot \frac{\sqrt{ρ \cdot L}}{P loss \cdot A}

Next Step Substitute values of Variables

∴

PF = (\frac{890W}{62V}) \cdot \frac{\sqrt{1.7E-5Ω*m \cdot 10.63m}}{8.23W \cdot 0.79m²}

Next Step Prepare to Evaluate

∴

PF = (\frac{890}{62}) \cdot \frac{\sqrt{1.7E-5 \cdot 10.63}}{8.23 \cdot 0.79}

Next Step Evaluate

∴

PF = 0.0296799034338743

LAST Step Rounding Answer

∴

PF = 0.0297

Power Factor using Line Losses (Single-Phase Three-Wire OS) Formula Elements

Variables

Functions

Power Factor

The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit.

Symbol: PF

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Power Factor

Power Transmitted

Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Transmitted

Maximum Voltage Overhead AC

Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Maximum Voltage Overhead AC

Resistivity

Resistivity is the measure of how strongly a material opposes the flow of current through them.

Symbol: ρ

Measurement: Electric ResistivityUnit: Ω*m

Note: Value can be positive or negative.

Formulas to find Resistivity

Length of Overhead AC Wire

Length of Overhead AC Wire is the total length of the wire from one end to other end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Overhead AC Wire

Line Losses

Line Losses is defined as the total losses occurring in an Overhead AC line when in use.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

Area of Overhead AC Wire

Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Overhead AC Wire

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Power Factor

Go Power Factor using Area of X-Section(Single-Phase Three-Wire OS)

PF = \sqrt{(P^{2}) \cdot ρ \cdot \frac{L}{A \cdot P loss \cdot ({V m}^{2})}}

Go Power Factor using Load Current (Single-Phase Three-Wire OS)

PF = \frac{P}{\sqrt{Φ} \cdot V m \cdot I}

Other formulas in Power and Power Factor category

Go Power Transmitted using Area of X-Section(Single-Phase Three-Wire OS)

P = \sqrt{\frac{A \cdot ({V m}^{2}) \cdot P loss \cdot ({(\cos (Φ))}^{2})}{ρ \cdot L}}

Go Power Transmitted using Load Current (Single-Phase Three-Wire OS)

P = I \cdot V m \cdot \cos (Φ) \cdot \sqrt{2}

How to Evaluate Power Factor using Line Losses (Single-Phase Three-Wire OS)?

Power Factor using Line Losses (Single-Phase Three-Wire OS) evaluator uses Power Factor = (Power Transmitted/Maximum Voltage Overhead AC)*sqrt(Resistivity*Length of Overhead AC Wire)/(Line Losses*Area of Overhead AC Wire) to evaluate the Power Factor, The Power Factor using Line Losses (single-Phase three-Wire OS) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit. Power Factor is denoted by PF symbol.

How to evaluate Power Factor using Line Losses (Single-Phase Three-Wire OS) using this online evaluator? To use this online evaluator for Power Factor using Line Losses (Single-Phase Three-Wire OS), enter Power Transmitted (P), Maximum Voltage Overhead AC (V_m), Resistivity (ρ), Length of Overhead AC Wire (L), Line Losses (P_loss) & Area of Overhead AC Wire (A) and hit the calculate button.

FAQs on Power Factor using Line Losses (Single-Phase Three-Wire OS)

What is the formula to find Power Factor using Line Losses (Single-Phase Three-Wire OS)?

The formula of Power Factor using Line Losses (Single-Phase Three-Wire OS) is expressed as Power Factor = (Power Transmitted/Maximum Voltage Overhead AC)*sqrt(Resistivity*Length of Overhead AC Wire)/(Line Losses*Area of Overhead AC Wire). Here is an example- 0.02968 = (890/62)*sqrt(1.7E-05*10.63)/(8.23*0.79).

How to calculate Power Factor using Line Losses (Single-Phase Three-Wire OS)?

With Power Transmitted (P), Maximum Voltage Overhead AC (V_m), Resistivity (ρ), Length of Overhead AC Wire (L), Line Losses (P_loss) & Area of Overhead AC Wire (A) we can find Power Factor using Line Losses (Single-Phase Three-Wire OS) using the formula - Power Factor = (Power Transmitted/Maximum Voltage Overhead AC)*sqrt(Resistivity*Length of Overhead AC Wire)/(Line Losses*Area of Overhead AC Wire). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Power Factor?

Here are the different ways to Calculate Power Factor-

Power Factor=sqrt((Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2)))
Power Factor=Power Transmitted/(sqrt(Phase Difference)*Maximum Voltage Overhead AC*Current Overhead AC)
Power Factor=sqrt((0.625)*Constant Overhead AC/Volume of Conductor)

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Power Factor using Line Losses (Single-Phase Three-Wire OS) Formula

​GoPower Factor using Area of X-Section(Single-Phase Three-Wire OS) Formula

​GoPower Factor using Load Current (Single-Phase Three-Wire OS) Formula

Power Factor using Line Losses (Single-Phase Three-Wire OS) Example

Power Factor using Line Losses (Single-Phase Three-Wire OS) Solution

Power Factor using Line Losses (Single-Phase Three-Wire OS) Formula Elements

Other Formulas to find Power Factor

Other formulas in Power and Power Factor category

How to Evaluate Power Factor using Line Losses (Single-Phase Three-Wire OS)?

FAQs on Power Factor using Line Losses (Single-Phase Three-Wire OS)

Variable Name

GoPower Factor using Area of X-Section(Single-Phase Three-Wire OS) Formula

GoPower Factor using Load Current (Single-Phase Three-Wire OS) Formula