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

✖Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.ⓘ Power Transmitted [P]			+10% -10%
✖Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Overhead AC [V_m]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Length of Overhead AC Wire is the total length of the wire from one end to other end.ⓘ Length of Overhead AC Wire [L]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Overhead AC Wire [A]			+10% -10%

✖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.ⓘ Power Factor using Line Losses (Single-Phase Three-Wire OS) [PF]

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

STEP 0: Pre-Calculation Summary

Formula Used

Power Factor = (Power Transmitted/Maximum Voltage Overhead AC)*sqrt(Resistivity*Length of Overhead AC Wire)/(Line Losses*Area of Overhead AC Wire)
PF = (P/V_m)*sqrt(ρ*L)/(P_loss*A)
This formula uses 1 Functions, 7 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.
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.
Maximum Voltage Overhead AC - (Measured in Volt) - Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Length of Overhead AC Wire - (Measured in Meter) - Length of Overhead AC Wire is the total length of the wire from one end to other end.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Area of Overhead AC Wire - (Measured in Square Meter) - Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 890 Watt --> 890 Watt No Conversion Required
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Overhead AC Wire: 10.63 Meter --> 10.63 Meter No Conversion Required
Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Area of Overhead AC Wire: 0.79 Square Meter --> 0.79 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PF = (P/V_m)*sqrt(ρ*L)/(P_loss*A) --> (890/62)*sqrt(1.7E-05*10.63)/(8.23*0.79)

Evaluating ... ...

PF = 0.0296799034338743

STEP 3: Convert Result to Output's Unit

0.0296799034338743 --> No Conversion Required

FINAL ANSWER

0.0296799034338743 ≈ 0.02968 <-- Power Factor

(Calculation completed in 00.004 seconds)

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< Power and Power Factor Calculators

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

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

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

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

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

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

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

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

LaTeX Go

Power Factor = (Power Transmitted/Maximum Voltage Overhead AC)*sqrt(Resistivity*Length of Overhead AC Wire)/(Line Losses*Area of Overhead AC Wire)
PF = (P/V_m)*sqrt(ρ*L)/(P_loss*A)

What is the value of maximum voltage and volume of conductor material in 1-phase 3-wire system?

The volume of conductor material required in this system is 5/8cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2v_m so that r.m.s. value of voltage between them is √2/v_m.

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

Power Factor using Line Losses (Single-Phase Three-Wire OS) calculator uses Power Factor = (Power Transmitted/Maximum Voltage Overhead AC)*sqrt(Resistivity*Length of Overhead AC Wire)/(Line Losses*Area of Overhead AC Wire) to calculate 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 calculate Power Factor using Line Losses (Single-Phase Three-Wire OS) using this online calculator? To use this online calculator 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. Here is how the Power Factor using Line Losses (Single-Phase Three-Wire OS) calculation can be explained with given input values -> 0.02968 = (890/62)*sqrt(1.7E-05*10.63)/(8.23*0.79).

FAQ

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

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 and is represented as PF = (P/V_m)*sqrt(ρ*L)/(P_loss*A) or Power Factor = (Power Transmitted/Maximum Voltage Overhead AC)*sqrt(Resistivity*Length of Overhead AC Wire)/(Line Losses*Area of Overhead AC Wire). Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end, Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire, Resistivity is the measure of how strongly a material opposes the flow of current through them, Length of Overhead AC Wire is the total length of the wire from one end to other end, Line Losses is defined as the total losses occurring in an Overhead AC line when in use & Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.

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

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 is calculated using Power Factor = (Power Transmitted/Maximum Voltage Overhead AC)*sqrt(Resistivity*Length of Overhead AC Wire)/(Line Losses*Area of Overhead AC Wire). To calculate Power Factor using Line Losses (Single-Phase Three-Wire OS), you need 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). With our tool, you need to enter the respective value for Power Transmitted, Maximum Voltage Overhead AC, Resistivity, Length of Overhead AC Wire, Line Losses & Area of Overhead AC Wire 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 Power Transmitted, Maximum Voltage Overhead AC, Resistivity, Length of Overhead AC Wire, Line Losses & Area of Overhead AC Wire. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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