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

✖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%
✖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%
✖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 using Line Losses (Single-Phase Three-Wire OS) [L]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Power Transmitted: 890 Watt --> 890 Watt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = P_loss*A*(V_m*cos(Φ))^2/((P^2)*ρ) --> 8.23*0.79*(62*cos(0.5235987755982))^2/((890^2)*1.7E-05)

Evaluating ... ...

L = 1392.01089434638

STEP 3: Convert Result to Output's Unit

1392.01089434638 Meter --> No Conversion Required

FINAL ANSWER

1392.01089434638 ≈ 1392.011 Meter <-- Length of Overhead AC Wire

(Calculation completed in 00.020 seconds)

You are here -

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

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 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

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

LaTeX Go

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

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 Length using Line Losses (Single-Phase Three-Wire OS)?

Length using Line Losses (Single-Phase Three-Wire OS) calculator uses Length of Overhead AC Wire = Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted^2)*Resistivity) to calculate the Length of Overhead AC Wire, The Length using Line Losses (single-Phase three-Wire OS) formula is defined as the total length of the wire that used in the single-phase three-wire system. Length of Overhead AC Wire is denoted by L symbol.

How to calculate Length using Line Losses (Single-Phase Three-Wire OS) using this online calculator? To use this online calculator for Length using Line Losses (Single-Phase Three-Wire OS), enter Line Losses (P_loss), Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ), Power Transmitted (P) & Resistivity (ρ) and hit the calculate button. Here is how the Length using Line Losses (Single-Phase Three-Wire OS) calculation can be explained with given input values -> 1392.011 = 8.23*0.79*(62*cos(0.5235987755982))^2/((890^2)*1.7E-05).

FAQ

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

The Length using Line Losses (single-Phase three-Wire OS) formula is defined as the total length of the wire that used in the single-phase three-wire system and is represented as L = P_loss*A*(V_m*cos(Φ))^2/((P^2)*ρ) or Length of Overhead AC Wire = Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted^2)*Resistivity). 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, 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, 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.

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

The Length using Line Losses (single-Phase three-Wire OS) formula is defined as the total length of the wire that used in the single-phase three-wire system is calculated using Length of Overhead AC Wire = Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/((Power Transmitted^2)*Resistivity). To calculate Length using Line Losses (Single-Phase Three-Wire OS), you need Line Losses (P_loss), Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ), Power Transmitted (P) & Resistivity (ρ). With our tool, you need to enter the respective value for Line Losses, Area of Overhead AC Wire, Maximum Voltage Overhead AC, Phase Difference, Power Transmitted & Resistivity 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 Length of Overhead AC Wire?

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

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

Home

FREE PDFs

🔍 Search