Line Losses using Area of X-Section(DC 3-Wire) Calculator

✖Power Transmitted is defined as the product of current and voltage phasor in a overhead dc 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 Wire DC is the total length of the wire from one end to other end.ⓘ Length of Wire DC [L]			+10% -10%
✖Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.ⓘ Area of Overhead DC Wire [A]			+10% -10%
✖Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Overhead DC [V_m]			+10% -10%

✖Line Losses is defined as the total losses occurring in an Overhead DC line when in use.ⓘ Line Losses using Area of X-Section(DC 3-Wire) [P_loss]

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Formula

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Line Losses using Area of X-Section(DC 3-Wire)

Formula

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

Example

`"0.077421W"=((("920W")^2)*"0.000017Ω*m"*"12.7m"/("0.65m²"*(("60.26V")^2)))`

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Line Losses using Area of X-Section(DC 3-Wire) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Line Losses = ((Power Transmitted^2)*Resistivity*Length of Wire DC/(Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)))
P_loss = ((P^2)*ρ*L/(A*(V_m^2)))
This formula uses 6 Variables

Variables Used

Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead dc 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 Wire DC - (Measured in Meter) - Length of Wire DC is the total length of the wire from one end to other end.
Area of Overhead DC Wire - (Measured in Square Meter) - Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system.
Maximum Voltage Overhead DC - (Measured in Volt) - Maximum Voltage Overhead DC 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: 920 Watt --> 920 Watt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Wire DC: 12.7 Meter --> 12.7 Meter No Conversion Required
Area of Overhead DC Wire: 0.65 Square Meter --> 0.65 Square Meter No Conversion Required
Maximum Voltage Overhead DC: 60.26 Volt --> 60.26 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_loss = ((P^2)*ρ*L/(A*(V_m^2))) --> ((920^2)*1.7E-05*12.7/(0.65*(60.26^2)))

Evaluating ... ...

P_loss = 0.0774206272720345

STEP 3: Convert Result to Output's Unit

0.0774206272720345 Watt --> No Conversion Required

FINAL ANSWER

0.0774206272720345 ≈ 0.077421 Watt <-- Line Losses

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Overhead DC Supply » 3-Wire System » Wire Parameters » Line Losses using Area of X-Section(DC 3-Wire)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 16 Wire Parameters Calculators

Line Losses using Constant(DC 3-Wire)

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

Constant(DC 3-Wire)

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

Line Losses using Volume of Conductor Material (DC 3-Wire)

Go Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*(Maximum Voltage Overhead DC)^2))

Line Losses using Area of X-Section(DC 3-Wire)

Go Line Losses = ((Power Transmitted^2)*Resistivity*Length of Wire DC/(Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)))

Volume of Conductor Material (DC 3-Wire)

Go Volume of Conductor = ((2.5)*2)*(Current Overhead DC^2)*Resistivity*(Length of Wire DC^2)/Line Losses

Length using Line Losses(DC 3-Wire)

Go Length of Wire DC = Line Losses*Area of Overhead DC Wire/(2*(Current Overhead DC^2)*Resistivity)

Area of X-Section(DC 3-Wire)

Go Area of Overhead DC Wire = (2*(Current Overhead DC^2)*Resistivity*Length of Wire DC)/Line Losses

Area of X-Section using Line Losses(DC 3-Wire)

Go Area of Overhead DC Wire = ((Current Overhead DC^2)*Resistivity)*Length of Wire DC/Line Losses

Length using Area of X-Section(DC 3-Wire)

Go Length of Wire DC = Area of Overhead DC Wire*Line Losses/((Current Overhead DC^2)*Resistivity)

Area of X-Section using Volume of Conductor Material (DC 3-Wire)

Go Area of Overhead DC Wire = Volume of Conductor/((2.5)*Length of Wire DC)

Length using Volume of Conductor Material (DC 3-Wire)

Go Length of Wire DC = Volume of Conductor/((2.5)*Area of Overhead DC Wire)

Volume of Conductor Material using Area of X-Section(DC 3-Wire)

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

Length using Constant(DC 3-Wire)

Go Length of Wire DC = Constant Overhead DC/Area of Overhead DC Wire

Line Losses(DC 3-Wire)

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

Volume of Conductor Material using Constant(DC 3-Wire)

Go Volume of Conductor = (5)*Constant Overhead DC/(16)

Constant using Volume of Conductor Material (DC 3-Wire)

Go Constant Overhead DC = Volume of Conductor*(16/5)

Line Losses using Area of X-Section(DC 3-Wire) Formula

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

What is a 3 wire dc system?

This is basically a combination of two series-connected unipolar DC systems. It consists of three conductors, two outer conductors (one is positive and the other is negative), and one middle conductor which acts as neutral.

How to Calculate Line Losses using Area of X-Section(DC 3-Wire)?

Line Losses using Area of X-Section(DC 3-Wire) calculator uses Line Losses = ((Power Transmitted^2)*Resistivity*Length of Wire DC/(Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2))) to calculate the Line Losses, The Line Losses using Area of X-Section(DC 3-wire) formula is defined as a 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 Area of X-Section(DC 3-Wire) using this online calculator? To use this online calculator for Line Losses using Area of X-Section(DC 3-Wire), enter Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Area of Overhead DC Wire (A) & Maximum Voltage Overhead DC (V_m) and hit the calculate button. Here is how the Line Losses using Area of X-Section(DC 3-Wire) calculation can be explained with given input values -> 0.077421 = ((920^2)*1.7E-05*12.7/(0.65*(60.26^2))).

FAQ

What is Line Losses using Area of X-Section(DC 3-Wire)?

The Line Losses using Area of X-Section(DC 3-wire) formula is defined as a loss of electric energy due to the heating of line wires by the current and is represented as P_loss = ((P^2)*ρ*L/(A*(V_m^2))) or Line Losses = ((Power Transmitted^2)*Resistivity*Length of Wire DC/(Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2))). Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end, Resistivity is the measure of how strongly a material opposes the flow of current through them, Length of Wire DC is the total length of the wire from one end to other end, Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system & Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

How to calculate Line Losses using Area of X-Section(DC 3-Wire)?

The Line Losses using Area of X-Section(DC 3-wire) formula is defined as a loss of electric energy due to the heating of line wires by the current is calculated using Line Losses = ((Power Transmitted^2)*Resistivity*Length of Wire DC/(Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2))). To calculate Line Losses using Area of X-Section(DC 3-Wire), you need Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Area of Overhead DC Wire (A) & Maximum Voltage Overhead DC (V_m). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Wire DC, Area of Overhead DC Wire & Maximum Voltage Overhead DC 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 Wire DC, Area of Overhead DC Wire & Maximum Voltage Overhead DC. We can use 3 other way(s) to calculate the same, which is/are as follows -

Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Volume of Conductor*(Maximum Voltage Overhead DC)^2))
Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*(Maximum Voltage Overhead DC)^2))
Line Losses = 2*(Current Overhead DC^2)*Resistance Overhead DC

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