Area of X-Section(3-Phase 4-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%
✖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%
✖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%
✖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%

✖Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of X-Section(3-Phase 4-Wire OS) [A]

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Area of X-Section(3-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Overhead AC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2))
A = 2*(P^2)*ρ*L/(((cos(Φ))^2)*P_loss*3*(V_m^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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 2*(P^2)*ρ*L/(((cos(Φ))^2)*P_loss*3*(V_m^2)) --> 2*(890^2)*1.7E-05*10.63/(((cos(0.5235987755982))^2)*8.23*3*(62^2))

Evaluating ... ...

A = 0.00402185549653722

STEP 3: Convert Result to Output's Unit

0.00402185549653722 Square Meter --> No Conversion Required

FINAL ANSWER

0.00402185549653722 ≈ 0.004022 Square Meter <-- Area of Overhead AC Wire

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Wire Parameters Calculators

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

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

Constant(3-Phase 4-Wire OS)

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

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

LaTeX Go Volume of Conductor = (3.5)*Area of Overhead AC Wire*Length of Overhead AC Wire

Line Losses(3-Phase 4-Wire OS)

LaTeX Go Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC

Area of X-Section(3-Phase 4-Wire OS) Formula

LaTeX Go

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 Area of X-Section(3-Phase 4-Wire OS)?

Area of X-Section(3-Phase 4-Wire OS) calculator uses Area of Overhead AC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2)) to calculate the Area of Overhead AC Wire, The Area of X-Section(3-Phase 4-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(3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Area of X-Section(3-Phase 4-Wire OS), enter Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Phase Difference (Φ), Line Losses (P_loss) & Maximum Voltage Overhead AC (V_m) and hit the calculate button. Here is how the Area of X-Section(3-Phase 4-Wire OS) calculation can be explained with given input values -> 0.004022 = 2*(890^2)*1.7E-05*10.63/(((cos(0.5235987755982))^2)*8.23*3*(62^2)).

FAQ

What is Area of X-Section(3-Phase 4-Wire OS)?

The Area of X-Section(3-Phase 4-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 = 2*(P^2)*ρ*L/(((cos(Φ))^2)*P_loss*3*(V_m^2)) or Area of Overhead AC Wire = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2)). Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end, 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, 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, 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.

How to calculate Area of X-Section(3-Phase 4-Wire OS)?

The Area of X-Section(3-Phase 4-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 = 2*(Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(((cos(Phase Difference))^2)*Line Losses*3*(Maximum Voltage Overhead AC^2)). To calculate Area of X-Section(3-Phase 4-Wire OS), you need Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Phase Difference (Φ), Line Losses (P_loss) & Maximum Voltage Overhead AC (V_m). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Overhead AC Wire, Phase Difference, Line Losses & Maximum Voltage Overhead 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 Area of Overhead AC Wire?

In this formula, Area of Overhead AC Wire uses Power Transmitted, Resistivity, Length of Overhead AC Wire, Phase Difference, Line Losses & Maximum Voltage Overhead AC. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of Overhead AC Wire = Volume of Conductor/((3.5)*Length of Overhead AC Wire)
Area of Overhead AC Wire = Resistivity*Length of Overhead AC Wire/Resistance Overhead AC

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