Line Losses using Volume of Conductor Material (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%
✖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%
✖Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.ⓘ Volume of Conductor [V]			+10% -10%

✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) [P_loss]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Power System Formula PDF PDF Image

Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor)
P_loss = 7*(P)^2*ρ*(L)^2/(3*(V_m*cos(Φ))^2*V)
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

Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
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.
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.
Volume of Conductor - (Measured in Cubic Meter) - Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.

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
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Volume of Conductor: 26 Cubic Meter --> 26 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_loss = 7*(P)^2*ρ*(L)^2/(3*(V_m*cos(Φ))^2*V) --> 7*(890)^2*1.7E-05*(10.63)^2/(3*(62*cos(0.5235987755982))^2*26)

Evaluating ... ...

P_loss = 0.047364641951982

STEP 3: Convert Result to Output's Unit

0.047364641951982 Watt --> No Conversion Required

FINAL ANSWER

0.047364641951982 ≈ 0.047365 Watt <-- Line Losses

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electrical » Power System » Overhead AC Supply » 3 Φ 4 Wire System » Wire Parameters » Line Losses using Volume of Conductor Material (3-Phase 4-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(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

Line Losses using Volume of Conductor Material (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 Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)?

Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) calculator uses Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor) to calculate the Line Losses, The Line Losses using Volume of Conductor Material (3-phase 4-wire OS) formula is defined as the loss of electric energy due to the heating of line wires by the current. Line Losses is denoted by P_loss symbol.

How to calculate Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS), enter Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ) & Volume of Conductor (V) and hit the calculate button. Here is how the Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) calculation can be explained with given input values -> 0.047365 = 7*(890)^2*1.7E-05*(10.63)^2/(3*(62*cos(0.5235987755982))^2*26).

FAQ

What is Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)?

The Line Losses using Volume of Conductor Material (3-phase 4-wire OS) formula is defined as the loss of electric energy due to the heating of line wires by the current and is represented as P_loss = 7*(P)^2*ρ*(L)^2/(3*(V_m*cos(Φ))^2*V) or Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor). 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, 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 & Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.

How to calculate Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)?

The Line Losses using Volume of Conductor Material (3-phase 4-wire OS) formula is defined as the loss of electric energy due to the heating of line wires by the current is calculated using Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor). To calculate Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS), you need Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ) & Volume of Conductor (V). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Overhead AC Wire, Maximum Voltage Overhead AC, Phase Difference & Volume of Conductor 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 Line Losses?

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

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

Home

FREE PDFs

🔍 Search