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Angle of PF using Line Losses (Two-Phase Three-Wire OS) Formula

GoPower Factor using Area of X-section(Two-Phase Three-Wire OS) Formula

GoPower Factor using Volume of Conductor Material (Two-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 = a \cos ((\frac{P}{V m}) \cdot \sqrt{(2 + \sqrt{2}) \cdot ρ \cdot \frac{L}{2 \cdot 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?

Angle of PF using Line Losses (Two-Phase Three-Wire OS) Example

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Here is how the Angle of PF using Line Losses (Two-Phase Three-Wire OS) equation looks like with Values.

Here is how the Angle of PF using Line Losses (Two-Phase Three-Wire OS) equation looks like with Units.

Here is how the Angle of PF using Line Losses (Two-Phase Three-Wire OS) equation looks like.

1.4718 = a \cos ((\frac{890}{62}) \cdot \sqrt{(2 + \sqrt{2}) \cdot 1.7E-5 \cdot \frac{10.63}{2 \cdot 8.23 \cdot 0.79}})

1.4718 = a \cos ((\frac{890W}{62V}) \cdot \sqrt{(2 + \sqrt{2}) \cdot 1.7E-5Ω*m \cdot \frac{10.63m}{2 \cdot 8.23W \cdot 0.79m²}})

1.4718 = a \cos ((\frac{890}{62}) \cdot \sqrt{(2 + \sqrt{2}) \cdot 1.7E-5 \cdot \frac{10.63}{2 \cdot 8.23 \cdot 0.79}})

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Angle of PF using Line Losses (Two-Phase Three-Wire OS) Solution

Follow our step by step solution on how to calculate Angle of PF using Line Losses (Two-Phase Three-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

PF = a \cos ((\frac{890W}{62V}) \cdot \sqrt{(2 + \sqrt{2}) \cdot 1.7E-5Ω*m \cdot \frac{10.63m}{2 \cdot 8.23W \cdot 0.79m²}})

Next Step Prepare to Evaluate

∴

PF = a \cos ((\frac{890}{62}) \cdot \sqrt{(2 + \sqrt{2}) \cdot 1.7E-5 \cdot \frac{10.63}{2 \cdot 8.23 \cdot 0.79}})

Next Step Evaluate

∴

PF = 1.47175498040219

LAST Step Rounding Answer

∴

PF = 1.4718

Angle of PF using Line Losses (Two-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

cos

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

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

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(Two-Phase Three-Wire OS)

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

Go Power Factor using Volume of Conductor Material (Two-Phase Three-Wire OS)

PF = \sqrt{(1.457) \cdot \frac{K}{V}}

Other formulas in Power and Power Factor category

Go Power Transmitted(Two-Phase Three-Wire OS)

P = (\frac{1}{2}) \cdot P t

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

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

How to Evaluate Angle of PF using Line Losses (Two-Phase Three-Wire OS)?

Angle of PF using Line Losses (Two-Phase Three-Wire OS) evaluator uses Power Factor = acos((Power Transmitted/Maximum Voltage Overhead AC)*sqrt((2+sqrt(2))*Resistivity*Length of Overhead AC Wire/(2*Line Losses*Area of Overhead AC Wire))) to evaluate the Power Factor, The Angle of PF using Line Losses (two-phase three-wire OS) formula is defined as the phase angle between reactive and active power. Power Factor is denoted by PF symbol.

How to evaluate Angle of PF using Line Losses (Two-Phase Three-Wire OS) using this online evaluator? To use this online evaluator for Angle of PF using Line Losses (Two-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 Angle of PF using Line Losses (Two-Phase Three-Wire OS)

What is the formula to find Angle of PF using Line Losses (Two-Phase Three-Wire OS)?

The formula of Angle of PF using Line Losses (Two-Phase Three-Wire OS) is expressed as Power Factor = acos((Power Transmitted/Maximum Voltage Overhead AC)*sqrt((2+sqrt(2))*Resistivity*Length of Overhead AC Wire/(2*Line Losses*Area of Overhead AC Wire))). Here is an example- 1.471755 = acos((890/62)*sqrt((2+sqrt(2))*1.7E-05*10.63/(2*8.23*0.79))).

How to calculate Angle of PF using Line Losses (Two-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 Angle of PF using Line Losses (Two-Phase Three-Wire OS) using the formula - Power Factor = acos((Power Transmitted/Maximum Voltage Overhead AC)*sqrt((2+sqrt(2))*Resistivity*Length of Overhead AC Wire/(2*Line Losses*Area of Overhead AC Wire))). This formula also uses Cosine (cos)Inverse Cosine (acos), 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*(2+sqrt(2)))/((2)*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2)))
Power Factor=sqrt((1.457)*Constant Overhead AC/Volume of Conductor)
Power Factor=(Power Transmitted/Maximum Voltage Overhead AC)*sqrt((2+sqrt(2))*Resistivity*Length of Overhead AC Wire/2*Line Losses*Area of Overhead AC Wire)

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Angle of PF using Line Losses (Two-Phase Three-Wire OS) Formula

​GoPower Factor using Area of X-section(Two-Phase Three-Wire OS) Formula

​GoPower Factor using Volume of Conductor Material (Two-Phase Three-Wire OS) Formula

Angle of PF using Line Losses (Two-Phase Three-Wire OS) Example

Angle of PF using Line Losses (Two-Phase Three-Wire OS) Solution

Angle of PF using Line Losses (Two-Phase Three-Wire OS) Formula Elements

Other Formulas to find Power Factor

Other formulas in Power and Power Factor category

How to Evaluate Angle of PF using Line Losses (Two-Phase Three-Wire OS)?

FAQs on Angle of PF using Line Losses (Two-Phase Three-Wire OS)

Variable Name

GoPower Factor using Area of X-section(Two-Phase Three-Wire OS) Formula

GoPower Factor using Volume of Conductor Material (Two-Phase Three-Wire OS) Formula