Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS) Calculator

✖Constant Overhead AC is defined as the constant of line of a Overhead supply system.ⓘ Constant Overhead AC [K]			+10% -10%
✖Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.ⓘ Volume of Conductor [V]			+10% -10%

✖Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.ⓘ Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS) [Φ]

⎘ Copy

👎

Formula

✖

Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS)

Formula

`"Φ" = acos(sqrt((1.457)*"K"/"V"))`

Example

`"77.09558°"=acos(sqrt((1.457)*"0.89"/"26m³"))`

Calculator

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Difference = acos(sqrt((1.457)*Constant Overhead AC/Volume of Conductor))
Φ = acos(sqrt((1.457)*K/V))
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)
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., 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., sqrt(Number)

Variables Used

Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.
Constant Overhead AC - Constant Overhead AC is defined as the constant of line of a Overhead supply system.
Volume of Conductor - (Measured in Cubic Meter) - Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.

STEP 1: Convert Input(s) to Base Unit

Constant Overhead AC: 0.89 --> No Conversion Required
Volume of Conductor: 26 Cubic Meter --> 26 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = acos(sqrt((1.457)*K/V)) --> acos(sqrt((1.457)*0.89/26))

Evaluating ... ...

Φ = 1.34557162741577

STEP 3: Convert Result to Output's Unit

1.34557162741577 Radian -->77.0955752834879 Degree (Check conversion here)

FINAL ANSWER

77.0955752834879 ≈ 77.09558 Degree <-- Phase Difference

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Overhead AC Supply » 2-Φ 3-Wire System » Power & Power Factor » Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has verified this Calculator and 100+ more calculators!

< 10+ Power & Power Factor Calculators

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

Go Power Transmitted = sqrt((2*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2))/((2+sqrt(2))*Resistivity*Length of Overhead AC Wire))

Transmitted Power using Line Losses (Two-Phase Three-Wire OS)

Go Power Transmitted = sqrt(2*Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((2+sqrt(2))*Resistivity*Length of Overhead AC Wire))

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

Go Power Transmitted = sqrt(Line Losses*Volume of Conductor*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(Resistivity*(((2+sqrt(2))*Length of Overhead AC Wire)^2)))

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

Go 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)))

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

Go 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 using Line Losses (Two-Phase Three-Wire OS)

Go 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)

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

Go Power Transmitted = Current Overhead AC*Maximum Voltage Overhead AC*cos(Phase Difference)*sqrt(2)

Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS)

Go Phase Difference = acos(sqrt((1.457)*Constant Overhead AC/Volume of Conductor))

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

Go Power Factor = sqrt((1.457)*Constant Overhead AC/Volume of Conductor)

Power Transmitted(Two-Phase Three-Wire OS)

Go Power Transmitted = (1/2)*Power Transmitted per Phase

Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS) Formula

Phase Difference = acos(sqrt((1.457)*Constant Overhead AC/Volume of Conductor))
Φ = acos(sqrt((1.457)*K/V))

How are power factor and power angle related?

Power angles are generally caused due to voltage drop due to impedance in the transmission line. The power factor is caused due to phase angle between reactive and active power.

How to Calculate Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS)?

Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS) calculator uses Phase Difference = acos(sqrt((1.457)*Constant Overhead AC/Volume of Conductor)) to calculate the Phase Difference, The Angle of PF using Volume of Conductor Material (two-phase three-wire OS) formula is defined as the phase angle between reactive and active power. Phase Difference is denoted by Φ symbol.

How to calculate Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS) using this online calculator? To use this online calculator for Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS), enter Constant Overhead AC (K) & Volume of Conductor (V) and hit the calculate button. Here is how the Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS) calculation can be explained with given input values -> 4417.251 = acos(sqrt((1.457)*0.89/26)).

FAQ

What is Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS)?

The Angle of PF using Volume of Conductor Material (two-phase three-wire OS) formula is defined as the phase angle between reactive and active power and is represented as Φ = acos(sqrt((1.457)*K/V)) or Phase Difference = acos(sqrt((1.457)*Constant Overhead AC/Volume of Conductor)). Constant Overhead AC is defined as the constant of line of a Overhead supply system & Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.

How to calculate Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS)?

The Angle of PF using Volume of Conductor Material (two-phase three-wire OS) formula is defined as the phase angle between reactive and active power is calculated using Phase Difference = acos(sqrt((1.457)*Constant Overhead AC/Volume of Conductor)). To calculate Angle of PF using Volume of Conductor Material (Two-Phase Three-Wire OS), you need Constant Overhead AC (K) & Volume of Conductor (V). With our tool, you need to enter the respective value for Constant Overhead AC & Volume of Conductor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search