Power Transmitted using Line Losses(DC 3-Wire) Calculator

✖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%
✖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%
✖Line Losses is defined as the total losses occurring in an Overhead DC line when in use.ⓘ Line Losses [P_loss]			+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%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%

✖Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end.ⓘ Power Transmitted using Line Losses(DC 3-Wire) [P]

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Power Transmitted using Line Losses(DC 3-Wire) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses/(Length of Wire DC*Resistivity))
P = V_m*sqrt(2*A*P_loss/(L*ρ))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
Length of Wire DC - (Measured in Meter) - Length of Wire DC is the total length of the wire from one end to other end.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.

STEP 1: Convert Input(s) to Base Unit

Maximum Voltage Overhead DC: 60.26 Volt --> 60.26 Volt No Conversion Required
Area of Overhead DC Wire: 0.65 Square Meter --> 0.65 Square Meter No Conversion Required
Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required
Length of Wire DC: 12.7 Meter --> 12.7 Meter No Conversion Required
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = V_m*sqrt(2*A*P_loss/(L*ρ)) --> 60.26*sqrt(2*0.65*0.74/(12.7*1.7E-05))

Evaluating ... ...

P = 4022.4471080896

STEP 3: Convert Result to Output's Unit

4022.4471080896 Watt --> No Conversion Required

FINAL ANSWER

4022.4471080896 ≈ 4022.447 Watt <-- Power Transmitted

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Overhead DC Supply » 3 Wire System » Power and Power Factor » Power Transmitted using Line Losses(DC 3-Wire)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Power and Power Factor Calculators

Power Transmitted using Volume of Conductor Material (DC 3-Wire)

LaTeX Go Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses*Volume of Conductor/((2.5)*(Length of Wire DC^2)*Resistivity))

Power Transmitted using Line Losses(DC 3-Wire)

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

Power Transmitted using Load Current(DC 3-Wire)

LaTeX Go Power Transmitted = 2*Current Overhead DC*Maximum Voltage Overhead DC

Power Transmitted per Phase (DC 3-Wire)

LaTeX Go Power Transmitted per Phase = Power Transmitted*(0.5)

Power Transmitted using Line Losses(DC 3-Wire) Formula

LaTeX Go

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

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 Power Transmitted using Line Losses(DC 3-Wire)?

Power Transmitted using Line Losses(DC 3-Wire) calculator uses Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses/(Length of Wire DC*Resistivity)) to calculate the Power Transmitted, The Power Transmitted using Line Losses(DC 3-wire) formula is defined as proportional to its effective range. The higher the transmit power, the farther a signal can travel, and the more obstructions it can effectively penetrate. Power Transmitted is denoted by P symbol.

How to calculate Power Transmitted using Line Losses(DC 3-Wire) using this online calculator? To use this online calculator for Power Transmitted using Line Losses(DC 3-Wire), enter Maximum Voltage Overhead DC (V_m), Area of Overhead DC Wire (A), Line Losses (P_loss), Length of Wire DC (L) & Resistivity (ρ) and hit the calculate button. Here is how the Power Transmitted using Line Losses(DC 3-Wire) calculation can be explained with given input values -> 4022.447 = 60.26*sqrt(2*0.65*0.74/(12.7*1.7E-05)).

FAQ

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

The Power Transmitted using Line Losses(DC 3-wire) formula is defined as proportional to its effective range. The higher the transmit power, the farther a signal can travel, and the more obstructions it can effectively penetrate and is represented as P = V_m*sqrt(2*A*P_loss/(L*ρ)) or Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses/(Length of Wire DC*Resistivity)). Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire, Area of Overhead DC Wire is defined as the cross-sectional area of the wire of an overhead DC supply system, Line Losses is defined as the total losses occurring in an Overhead DC line when in use, Length of Wire DC is the total length of the wire from one end to other end & Resistivity is the measure of how strongly a material opposes the flow of current through them.

How to calculate Power Transmitted using Line Losses(DC 3-Wire)?

The Power Transmitted using Line Losses(DC 3-wire) formula is defined as proportional to its effective range. The higher the transmit power, the farther a signal can travel, and the more obstructions it can effectively penetrate is calculated using Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses/(Length of Wire DC*Resistivity)). To calculate Power Transmitted using Line Losses(DC 3-Wire), you need Maximum Voltage Overhead DC (V_m), Area of Overhead DC Wire (A), Line Losses (P_loss), Length of Wire DC (L) & Resistivity (ρ). With our tool, you need to enter the respective value for Maximum Voltage Overhead DC, Area of Overhead DC Wire, Line Losses, Length of Wire DC & Resistivity 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 Power Transmitted?

In this formula, Power Transmitted uses Maximum Voltage Overhead DC, Area of Overhead DC Wire, Line Losses, Length of Wire DC & Resistivity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Power Transmitted = 2*Current Overhead DC*Maximum Voltage Overhead DC
Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Line Losses*Volume of Conductor/((2.5)*(Length of Wire DC^2)*Resistivity))
Power Transmitted = Maximum Voltage Overhead DC*sqrt(2*Area of Overhead DC Wire*Constant Overhead DC/((2.5)*(Length of Wire DC^2)*Resistivity))

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