Area of X-Section using Line Losses (Single-Phase Three-Wire OS) Calculator

✖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%
✖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%
✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses [P_loss]			+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%
✖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.ⓘ Phase Difference [Φ]			+10% -10%

✖Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of X-Section using Line Losses (Single-Phase Three-Wire OS) [A]

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Area of X-Section using Line Losses (Single-Phase Three-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire*(Power Transmitted)^2/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2)
A = ρ*L*(P)^2/(P_loss*(V_m*cos(Φ))^2)
This formula uses 1 Functions, 7 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)

Variables Used

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.
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.
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.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Power Transmitted: 890 Watt --> 890 Watt No Conversion Required
Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ρ*L*(P)^2/(P_loss*(V_m*cos(Φ))^2) --> 1.7E-05*10.63*(890)^2/(8.23*(62*cos(0.5235987755982))^2)

Evaluating ... ...

A = 0.00603278324480583

STEP 3: Convert Result to Output's Unit

0.00603278324480583 Square Meter --> No Conversion Required

FINAL ANSWER

0.00603278324480583 ≈ 0.006033 Square Meter <-- Area of Overhead AC Wire

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Overhead AC Supply » 1 Φ 3 Wire System » Wire Parameters » Area of X-Section using Line Losses (Single-Phase Three-Wire OS)

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< Wire Parameters Calculators

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

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

Constant(Single-Phase Three-Wire OS)

LaTeX Go Constant Overhead AC = (4*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire)/(Line Losses*(Voltage Overhead AC^2))

Volume of Conductor Material(Single-Phase Three-Wire OS)

LaTeX Go Volume of Conductor = (2.5)*Area of Overhead AC Wire*Length of Overhead AC Wire

Line Losses(Single-Phase Three-Wire OS)

LaTeX Go Line Losses = (2)*((Current Overhead AC)^2)*Resistance Overhead AC

Area of X-Section using Line Losses (Single-Phase Three-Wire OS) Formula

LaTeX Go

Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire*(Power Transmitted)^2/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2)
A = ρ*L*(P)^2/(P_loss*(V_m*cos(Φ))^2)

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 Area of X-Section using Line Losses (Single-Phase Three-Wire OS)?

Area of X-Section using Line Losses (Single-Phase Three-Wire OS) calculator uses Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire*(Power Transmitted)^2/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2) to calculate the Area of Overhead AC Wire, The Area of X-Section using Line Losses (single-Phase three-Wire OS) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier. Area of Overhead AC Wire is denoted by A symbol.

How to calculate Area of X-Section using Line Losses (Single-Phase Three-Wire OS) using this online calculator? To use this online calculator for Area of X-Section using Line Losses (Single-Phase Three-Wire OS), enter Resistivity (ρ), Length of Overhead AC Wire (L), Power Transmitted (P), Line Losses (P_loss), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ) and hit the calculate button. Here is how the Area of X-Section using Line Losses (Single-Phase Three-Wire OS) calculation can be explained with given input values -> 0.006033 = 1.7E-05*10.63*(890)^2/(8.23*(62*cos(0.5235987755982))^2).

FAQ

What is Area of X-Section using Line Losses (Single-Phase Three-Wire OS)?

The Area of X-Section using Line Losses (single-Phase three-Wire OS) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier and is represented as A = ρ*L*(P)^2/(P_loss*(V_m*cos(Φ))^2) or Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire*(Power Transmitted)^2/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2). 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, Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end, Line Losses is defined as the total losses occurring in an Overhead AC line when in use, Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire & 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.

How to calculate Area of X-Section using Line Losses (Single-Phase Three-Wire OS)?

The Area of X-Section using Line Losses (single-Phase three-Wire OS) formula is defined as the cross-sectional area simply as the square of the wire's diameter in mils and calls that our area in units of “circular mils.” This makes number handling ever so much easier is calculated using Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire*(Power Transmitted)^2/(Line Losses*(Maximum Voltage Overhead AC*cos(Phase Difference))^2). To calculate Area of X-Section using Line Losses (Single-Phase Three-Wire OS), you need Resistivity (ρ), Length of Overhead AC Wire (L), Power Transmitted (P), Line Losses (P_loss), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ). With our tool, you need to enter the respective value for Resistivity, Length of Overhead AC Wire, Power Transmitted, Line Losses, Maximum Voltage Overhead AC & Phase Difference 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 Area of Overhead AC Wire?

In this formula, Area of Overhead AC Wire uses Resistivity, Length of Overhead AC Wire, Power Transmitted, Line Losses, Maximum Voltage Overhead AC & Phase Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Overhead AC Wire = (Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*(Maximum Voltage Overhead AC^2))
Area of Overhead AC Wire = 2*Resistivity*Length of Overhead AC Wire*(Current Overhead AC)^2/(Line Losses)
Area of Overhead AC Wire = Volume of Conductor/((2.5)*Length of Overhead AC Wire)

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