Line Losses using Area of X-section(Two-Wire One Conductor Earthed) 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(Two-Wire One Conductor Earthed) [P_loss]

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Formula

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Line Losses using Area of X-section(Two-Wire One Conductor Earthed)

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(Two-Wire One Conductor Earthed) 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 » 2-Wire System » 1 Conductor Earthed » Wire Parameters » Line Losses using Area of X-section(Two-Wire One Conductor Earthed)

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< 14 Wire Parameters Calculators

Length of Wire using K(Two-Wire One Conductor Earthed)

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

Length of Line using Area of X-Section(Two-Wire One Conductor Earthed)

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

Line Losses using K(Two-Wire One Conductor Earthed)

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

Area of X-Section(Two-Wire One Conductor Earthed)

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

K(Two-Wire One Conductor Earthed)

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

Line Losses using Area of X-section(Two-Wire One Conductor Earthed)

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

Length of Line using Line Losses(Two-Wire One Conductor Earthed)

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

Area of X-Section using Line Losses(Two-Wire One Conductor Earthed)

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

Length of Wire using Resistance(Two-Wire One Conductor Earthed)

Go Length of Wire DC = (Resistance Overhead DC*Area of Overhead DC Wire)/Resistivity

Area of X-Section using Resistance(Two-Wire One Conductor Earthed)

Go Area of Overhead DC Wire = Resistivity*Length of Wire DC/Resistance Overhead DC

Area of X-Section using Volume(Two-Wire One Conductor Earthed)

Go Area of Overhead DC Wire = Volume of Conductor/(2*Length of Wire DC)

Volume of Conductor Material(Two-Wire One Conductor Earthed)

Go Volume of Conductor = 2*Area of Overhead DC Wire*Length of Wire DC

Line Losses(Two-Wire One Conductor Earthed)

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

Volume using K(Two-Wire One Conductor Earthed)

Go Volume of Conductor = (1)*Constant Overhead DC

Line Losses using Area of X-section(Two-Wire One Conductor Earthed) 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 the two-wire one conductor earthed system?

The load is connected between the two wires. where a1 is the area of the X-section of the conductor. It is a usual practice to make this system the basis for comparison with other systems.

How to Calculate Line Losses using Area of X-section(Two-Wire One Conductor Earthed)?

Line Losses using Area of X-section(Two-Wire One Conductor Earthed) 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(Two-Wire One Conductor Earthed) 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(Two-Wire One Conductor Earthed) using this online calculator? To use this online calculator for Line Losses using Area of X-section(Two-Wire One Conductor Earthed), 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(Two-Wire One Conductor Earthed) 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(Two-Wire One Conductor Earthed)?

The Line Losses using Area of X-section(Two-Wire One Conductor Earthed) 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(Two-Wire One Conductor Earthed)?

The Line Losses using Area of X-section(Two-Wire One Conductor Earthed) 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(Two-Wire One Conductor Earthed), 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 2 other way(s) to calculate the same, which is/are as follows -

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

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