Line Losses using Constant(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%
✖Constant Overhead DC is defined as the constant of line of a Overhead supply system.ⓘ Constant Overhead DC [K]			+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 Constant(DC 3-Wire) [P_loss]

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Line Losses using Constant(DC 3-Wire) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*(Maximum Voltage Overhead DC)^2))
P_loss = (((P^2)*ρ*(L^2))/(K*(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.
Constant Overhead DC - Constant Overhead DC is defined as the constant of line of a Overhead 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
Constant Overhead DC: 7 --> 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^2))/(K*(V_m)^2)) --> (((920^2)*1.7E-05*(12.7^2))/(7*(60.26)^2))

Evaluating ... ...

P_loss = 0.0913010397329493

STEP 3: Convert Result to Output's Unit

0.0913010397329493 Watt --> No Conversion Required

FINAL ANSWER

0.0913010397329493 ≈ 0.091301 Watt <-- Line Losses

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Wire Parameters Calculators

Volume of Conductor Material (DC 3-Wire)

LaTeX 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)

LaTeX 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(DC 3-Wire)

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

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

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

Line Losses using Constant(DC 3-Wire) Formula

LaTeX Go

Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*(Maximum Voltage Overhead DC)^2))
P_loss = (((P^2)*ρ*(L^2))/(K*(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 Constant(DC 3-Wire)?

Line Losses using Constant(DC 3-Wire) calculator uses Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*(Maximum Voltage Overhead DC)^2)) to calculate the Line Losses, The Line Losses using Constant(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 Constant(DC 3-Wire) using this online calculator? To use this online calculator for Line Losses using Constant(DC 3-Wire), enter Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Constant Overhead DC (K) & Maximum Voltage Overhead DC (V_m) and hit the calculate button. Here is how the Line Losses using Constant(DC 3-Wire) calculation can be explained with given input values -> 0.091301 = (((920^2)*1.7E-05*(12.7^2))/(7*(60.26)^2)).

FAQ

What is Line Losses using Constant(DC 3-Wire)?

The Line Losses using Constant(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^2))/(K*(V_m)^2)) or Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*(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, Constant Overhead DC is defined as the constant of line of a Overhead 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 Constant(DC 3-Wire)?

The Line Losses using Constant(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^2))/(Constant Overhead DC*(Maximum Voltage Overhead DC)^2)). To calculate Line Losses using Constant(DC 3-Wire), you need Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Constant Overhead DC (K) & Maximum Voltage Overhead DC (V_m). With our tool, you need to enter the respective value for Power Transmitted, Resistivity, Length of Wire DC, Constant Overhead DC & 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, Constant Overhead DC & 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/(Area of Overhead DC Wire*(Maximum Voltage Overhead DC^2)))
Line Losses = 2*(Current Overhead DC^2)*Resistance Overhead DC

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