Angle of PF using Volume of Conductor Material (3-Phase 4-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 (3-Phase 4-Wire OS) [Φ]

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Formula

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Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)

Formula

`"Φ" = acos(sqrt((0.583)*"K"/"V"))`

Example

`"81.8788°"=acos(sqrt((0.583)*"0.89"/"26m³"))`

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Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Difference = acos(sqrt((0.583)*Constant Overhead AC/Volume of Conductor))
Φ = acos(sqrt((0.583)*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((0.583)*K/V)) --> acos(sqrt((0.583)*0.89/26))

Evaluating ... ...

Φ = 1.42905457466668

STEP 3: Convert Result to Output's Unit

1.42905457466668 Radian -->81.8787958222791 Degree (Check conversion here)

FINAL ANSWER

81.8787958222791 ≈ 81.8788 Degree <-- Phase Difference

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Overhead AC Supply » 3-Φ 4-Wire System » Power & Power Factor » Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)

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< 10+ Power & Power Factor Calculators

Power Transmitted using Area of X-Section(3-Phase 4-Wire OS)

Go Power Transmitted = sqrt((3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2))/(Resistivity*2*Length of Overhead AC Wire))

Angle of PF using Area of X-Section(3-Phase 4-Wire OS)

Go Phase Difference = acos(sqrt(2*Resistivity*Length of Overhead AC Wire*(Power Transmitted^2)/(3*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2))))

Power Transmitted using Volume of Conductor Material (3-Phase 4-Wire OS)

Go Power Transmitted = sqrt(3*Line Losses*Volume of Conductor*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(7*Resistivity*(Length of Overhead AC Wire)^2))

Power Factor using Area of X-Section(3-Phase 4-Wire OS)

Go Power Factor = (Power Transmitted/Maximum Voltage Overhead AC)*sqrt(2*Resistivity*Length of Overhead AC Wire/(3*Area of Overhead AC Wire))

Power Transmitted using Load Current (3-Phase 4-Wire OS)

Go Power Transmitted = Current Overhead AC*Maximum Voltage Overhead AC*cos(Phase Difference)*(3/sqrt(2))

Angle of PF using Load Current (3-Phase 4-Wire OS)

Go Phase Difference = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC*Current Overhead AC)

Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)

Go Phase Difference = acos(sqrt((0.583)*Constant Overhead AC/Volume of Conductor))

Power Factor using Load Current (3-Phase 4-Wire OS)

Go Power Factor = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC)

Power Factor using Volume of Conductor Material (3-Phase 4-Wire OS)

Go Power Factor = sqrt((0.583)*Constant Overhead AC/Volume of Conductor)

Power Transmitted(3-Phase 4-Wire OS)

Go Power Transmitted = (1/3)*Power Transmitted per Phase

Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) Formula

Phase Difference = acos(sqrt((0.583)*Constant Overhead AC/Volume of Conductor))
Φ = acos(sqrt((0.583)*K/V))

What is the value of maximum voltage and volume of conductor material in 3-phase 4-wire system?

The volume of conductor material required in this system is 7/12cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is v_m so that r.m.s. value of voltage between them is v_m/√2.

How to Calculate Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)?

Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS) calculator uses Phase Difference = acos(sqrt((0.583)*Constant Overhead AC/Volume of Conductor)) to calculate the Phase Difference, The Angle of PF using Volume of Conductor Material (3-phase 4-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 (3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Angle of PF using Volume of Conductor Material (3-Phase 4-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 (3-Phase 4-Wire OS) calculation can be explained with given input values -> 4691.309 = acos(sqrt((0.583)*0.89/26)).

FAQ

What is Angle of PF using Volume of Conductor Material (3-Phase 4-Wire OS)?

The Angle of PF using Volume of Conductor Material (3-phase 4-wire OS) formula is defined as the phase angle between reactive and active power and is represented as Φ = acos(sqrt((0.583)*K/V)) or Phase Difference = acos(sqrt((0.583)*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 (3-Phase 4-Wire OS)?

The Angle of PF using Volume of Conductor Material (3-phase 4-wire OS) formula is defined as the phase angle between reactive and active power is calculated using Phase Difference = acos(sqrt((0.583)*Constant Overhead AC/Volume of Conductor)). To calculate Angle of PF using Volume of Conductor Material (3-Phase 4-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.

How many ways are there to calculate Phase Difference?

In this formula, Phase Difference uses Constant Overhead AC & Volume of Conductor. We can use 2 other way(s) to calculate the same, which is/are as follows -

Phase Difference = acos(sqrt(2*Resistivity*Length of Overhead AC Wire*(Power Transmitted^2)/(3*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2))))
Phase Difference = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC*Current Overhead AC)

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