Line Losses (DC Three-Wire US) Calculator

✖Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.ⓘ 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 measurement or extent of something from end to end.ⓘ Length of Wire DC [l]			+10% -10%
✖Maximum Voltage the highest voltage rating for electrical devices.ⓘ Maximum Voltage [V_m]			+10% -10%
✖The Area of underground dc wire is the amount of two-dimensional space taken up by an object.ⓘ Area of underground dc wire [A]			+10% -10%

✖Line Losses is defined as the losses that are produced in the line.ⓘ Line Losses (DC Three-Wire US) [P_line]

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Line Losses (DC Three-Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Line Losses = 2*(Power Transmitted^2)*Resistivity*Length of Wire DC/((Maximum Voltage^2)*Area of underground dc wire)
P_line = 2*(P^2)*ρ*l/((V_m^2)*A)
This formula uses 6 Variables

Variables Used

Line Losses - (Measured in Watt) - Line Losses is defined as the losses that are produced in the line.
Power Transmitted - (Measured in Watt) - Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
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 measurement or extent of something from end to end.
Maximum Voltage - (Measured in Volt) - Maximum Voltage the highest voltage rating for electrical devices.
Area of underground dc wire - (Measured in Square Meter) - The Area of underground dc wire is the amount of two-dimensional space taken up by an object.

STEP 1: Convert Input(s) to Base Unit

Power Transmitted: 300 Watt --> 300 Watt No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Wire DC: 3.2 Meter --> 3.2 Meter No Conversion Required
Maximum Voltage: 60 Volt --> 60 Volt No Conversion Required
Area of underground dc wire: 0.32 Square Meter --> 0.32 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_line = 2*(P^2)*ρ*l/((V_m^2)*A) --> 2*(300^2)*1.7E-05*3.2/((60^2)*0.32)

Evaluating ... ...

P_line = 0.0085

STEP 3: Convert Result to Output's Unit

0.0085 Watt --> No Conversion Required

FINAL ANSWER

0.0085 Watt <-- Line Losses

(Calculation completed in 00.020 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Wire Parameters Calculators

Length using Volume of Conductor Material(DC Three-Wire US)

LaTeX Go Length of Wire DC = sqrt(Volume Of Conductor*Line Losses*(Maximum Voltage^2)/((5)*Resistivity*(Power Transmitted^2)))

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

LaTeX Go Line Losses = 5*Resistivity*((Power Transmitted*Length of Wire DC)^2)/(Volume Of Conductor*(Maximum Voltage^2))

Area of X-section using Volume of Conductor Material(DC Three-Wire US)

LaTeX Go Area of underground dc wire = Volume Of Conductor/(2.5*Length of Wire DC)

Constant using Volume of Conductor Material(DC Three-Wire US)

LaTeX Go Constant underground dc = Volume Of Conductor/(1.25)

Line Losses (DC Three-Wire US) Formula

LaTeX Go

Line Losses = 2*(Power Transmitted^2)*Resistivity*Length of Wire DC/((Maximum Voltage^2)*Area of underground dc wire)
P_line = 2*(P^2)*ρ*l/((V_m^2)*A)

What is the volume of conductor material in DC Three-Wire underground system?

The volume of conductor material required in this system is 1.25 times that of a 2-wire d.c.system with the one conductor earthed.

How to Calculate Line Losses (DC Three-Wire US)?

Line Losses (DC Three-Wire US) calculator uses Line Losses = 2*(Power Transmitted^2)*Resistivity*Length of Wire DC/((Maximum Voltage^2)*Area of underground dc wire) to calculate the Line Losses, The Line Losses (DC Three-Wire US) 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_line symbol.

How to calculate Line Losses (DC Three-Wire US) using this online calculator? To use this online calculator for Line Losses (DC Three-Wire US), enter Power Transmitted (P), Resistivity (ρ), Length of Wire DC (l), Maximum Voltage (V_m) & Area of underground dc wire (A) and hit the calculate button. Here is how the Line Losses (DC Three-Wire US) calculation can be explained with given input values -> 0.0085 = 2*(300^2)*1.7E-05*3.2/((60^2)*0.32).

FAQ

What is Line Losses (DC Three-Wire US)?

The Line Losses (DC Three-Wire US) formula is defined as the loss of electric energy due to the heating of line wires by the current and is represented as P_line = 2*(P^2)*ρ*l/((V_m^2)*A) or Line Losses = 2*(Power Transmitted^2)*Resistivity*Length of Wire DC/((Maximum Voltage^2)*Area of underground dc wire). Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work, Resistivity is the measure of how strongly a material opposes the flow of current through them, Length of Wire DC is the measurement or extent of something from end to end, Maximum Voltage the highest voltage rating for electrical devices & The Area of underground dc wire is the amount of two-dimensional space taken up by an object.

How to calculate Line Losses (DC Three-Wire US)?

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

Line Losses = 5*Resistivity*((Power Transmitted*Length of Wire DC)^2)/(Volume Of Conductor*(Maximum Voltage^2))
Line Losses = 2*(Current underground DC^2)*Resistivity*Length of Wire DC/(Area of underground dc wire)
Line Losses = 2*(Power Transmitted^2)*Resistance underground DC/((Maximum Voltage^2))

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