Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed) Calculator

✖Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.ⓘ Power Transmitted [P]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Length of Underground AC Wire is the total length of the wire from one end to other end.ⓘ Length of Underground AC Wire [L]			+10% -10%
✖Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Underground AC Wire [A]			+10% -10%
✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Underground AC [V_m]			+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 Area of X-Section (1-Phase 2-Wire Mid-Point Earthed) [PF]

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Formula

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Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

Formula

`"PF" = sqrt(4*("P"^2)*"ρ"*"L"/("A"*"P"_{"loss"}*("V"_{"m"}^2)))`

Example

`"0.028503"=sqrt(4*(("300W")^2)*"0.000017Ω*m"*"24m"/("1.28m²"*"2.67W"*(("230V")^2)))`

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Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)))
PF = sqrt(4*(P^2)*ρ*L/(A*P_loss*(V_m^2)))
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 the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Length of Underground AC Wire - (Measured in Meter) - Length of Underground AC Wire is the total length of the wire from one end to other end.
Area of Underground AC Wire - (Measured in Square Meter) - Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
Maximum Voltage Underground AC - (Measured in Volt) - Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Underground AC Wire: 24 Meter --> 24 Meter No Conversion Required
Area of Underground AC Wire: 1.28 Square Meter --> 1.28 Square Meter No Conversion Required
Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

PF = sqrt(4*(P^2)*ρ*L/(A*P_loss*(V_m^2))) --> sqrt(4*(300^2)*1.7E-05*24/(1.28*2.67*(230^2)))

Evaluating ... ...

PF = 0.028503151449111

STEP 3: Convert Result to Output's Unit

0.028503151449111 --> No Conversion Required

FINAL ANSWER

0.028503151449111 ≈ 0.028503 <-- Power Factor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Underground AC Supply » 1-Φ 2-Wire Mid-Point Earthed System » Power & Power Factor » Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

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< 6 Power & Power Factor Calculators

Power Transmitted using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

Go Power Transmitted = sqrt(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(4*Resistivity*Length of Underground AC Wire))

Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

Go Power Factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)))

Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

Go Power Transmitted = sqrt(Line Losses/(2*Resistance Underground AC))*(Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2))

Power Factor using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

Go Power Factor = sqrt(4*(Power Transmitted^2)*Resistance Underground AC/(Line Losses*(Maximum Voltage Underground AC^2)))

Power Transmitted using Load Current (1-Phase 2-Wire Mid-Point Earthed)

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

Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed)

Go Power Factor = (sqrt(2)*Power Transmitted)/(Current Underground AC*Maximum Voltage Underground AC)

Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed) Formula

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 Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)?

Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed) calculator uses Power Factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2))) to calculate the Power Factor, The Power Factor using Area of X-Section (1-phase 2-wire Mid-point Earthed) 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 Area of X-Section (1-Phase 2-Wire Mid-Point Earthed) using this online calculator? To use this online calculator for Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed), enter Power Transmitted (P), Resistivity (ρ), Length of Underground AC Wire (L), Area of Underground AC Wire (A), Line Losses (P_loss) & Maximum Voltage Underground AC (V_m) and hit the calculate button. Here is how the Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed) calculation can be explained with given input values -> 0.028503 = sqrt(4*(300^2)*1.7E-05*24/(1.28*2.67*(230^2))).

FAQ

What is Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)?

The Power Factor using Area of X-Section (1-phase 2-wire Mid-point Earthed) 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(4*(P^2)*ρ*L/(A*P_loss*(V_m^2))) or Power Factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2))). Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work, Resistivity is the measure of how strongly a material opposes the flow of current through them, Length of Underground AC Wire is the total length of the wire from one end to other end, Area of Underground AC Wire is defined as the cross-sectional area of the wire of an AC supply system, Line Losses is defined as the total losses occurring in an Underground AC line when in use & Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

How to calculate Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)?

The Power Factor using Area of X-Section (1-phase 2-wire Mid-point Earthed) 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(4*(Power Transmitted^2)*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2))). To calculate Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed), you need Power Transmitted (P), Resistivity (ρ), Length of Underground AC Wire (L), Area of Underground AC Wire (A), Line Losses (P_loss) & Maximum Voltage Underground AC (V_m). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Underground AC Wire, Area of Underground AC Wire, Line Losses & Maximum Voltage Underground AC 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, Resistivity, Length of Underground AC Wire, Area of Underground AC Wire, Line Losses & Maximum Voltage Underground AC. We can use 2 other way(s) to calculate the same, which is/are as follows -

Power Factor = (sqrt(2)*Power Transmitted)/(Current Underground AC*Maximum Voltage Underground AC)
Power Factor = sqrt(4*(Power Transmitted^2)*Resistance Underground AC/(Line Losses*(Maximum Voltage Underground AC^2)))

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