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

STEP 0: Pre-Calculation Summary
Formula Used
Power Factor = sqrt((0.583)*Constant Overhead AC/Volume of Conductor)
PF = sqrt((0.583)*K/V)
This formula uses 1 Functions, 3 Variables
Functions Used
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
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.
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
PF = sqrt((0.583)*K/V) --> sqrt((0.583)*0.89/26)
Evaluating ... ...
PF = 0.141267612925038
STEP 3: Convert Result to Output's Unit
0.141267612925038 --> No Conversion Required
FINAL ANSWER
0.141267612925038 0.141268 <-- Power Factor
(Calculation completed in 00.004 seconds)

Credits

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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

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

Power Factor = sqrt((0.583)*Constant Overhead AC/Volume of Conductor)
PF = 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 vm so that r.m.s. value of voltage between them is vm/√2.

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

Power Factor using Volume of Conductor Material (3-Phase 4-Wire OS) calculator uses Power Factor = sqrt((0.583)*Constant Overhead AC/Volume of Conductor) to calculate the Power Factor, The Power Factor using Volume of Conductor Material (3-phase 4-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 calculate Power Factor using Volume of Conductor Material (3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Power Factor 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 Power Factor using Volume of Conductor Material (3-Phase 4-Wire OS) calculation can be explained with given input values -> 0.141268 = sqrt((0.583)*0.89/26).

FAQ

What is Power Factor using Volume of Conductor Material (3-Phase 4-Wire OS)?
The Power Factor using Volume of Conductor Material (3-phase 4-wire OS) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit and is represented as PF = sqrt((0.583)*K/V) or Power Factor = 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 Power Factor using Volume of Conductor Material (3-Phase 4-Wire OS)?
The Power Factor using Volume of Conductor Material (3-phase 4-wire OS) formula is defined as the cosine of the angle between the voltage phasor and current phasor in an AC circuit is calculated using Power Factor = sqrt((0.583)*Constant Overhead AC/Volume of Conductor). To calculate Power Factor 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 Power Factor?
In this formula, Power Factor uses Constant Overhead AC & Volume of Conductor. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Power Factor = (Power Transmitted/Maximum Voltage Overhead AC)*sqrt(2*Resistivity*Length of Overhead AC Wire/(3*Area of Overhead AC Wire))
  • Power Factor = (sqrt(2)*Power Transmitted)/(3*Maximum Voltage Overhead AC)
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