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Line Losses using Constant(DC 3-Wire) Formula

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

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

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Line Losses is defined as the total losses occurring in an Overhead DC line when in use. Check FAQs

P loss = (\frac{(P^{2}) \cdot ρ \cdot (L^{2})}{K \cdot {(V m)}^{2}})

P_loss - Line Losses?P - Power Transmitted?ρ - Resistivity?L - Length of Wire DC?K - Constant Overhead DC?V_m - Maximum Voltage Overhead DC?

Line Losses using Constant(DC 3-Wire) Example

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Here is how the Line Losses using Constant(DC 3-Wire) equation looks like with Values.

Here is how the Line Losses using Constant(DC 3-Wire) equation looks like with Units.

Here is how the Line Losses using Constant(DC 3-Wire) equation looks like.

0.0913 = (\frac{(920^{2}) \cdot 1.7E-5 \cdot ({12.7}^{2})}{7 \cdot {(60.26)}^{2}})

0.0913W = (\frac{({920W}^{2}) \cdot 1.7E-5Ω*m \cdot ({12.7m}^{2})}{7 \cdot {(60.26V)}^{2}})

0.0913 = (\frac{(920^{2}) \cdot 1.7E-5 \cdot ({12.7}^{2})}{7 \cdot {(60.26)}^{2}})

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Line Losses using Constant(DC 3-Wire) Solution

Follow our step by step solution on how to calculate Line Losses using Constant(DC 3-Wire)?

FIRST Step Consider the formula

P loss = (\frac{(P^{2}) \cdot ρ \cdot (L^{2})}{K \cdot {(V m)}^{2}})

Next Step Substitute values of Variables

∴

P loss = (\frac{({920W}^{2}) \cdot 1.7E-5Ω*m \cdot ({12.7m}^{2})}{7 \cdot {(60.26V)}^{2}})

Next Step Prepare to Evaluate

∴

P loss = (\frac{(920^{2}) \cdot 1.7E-5 \cdot ({12.7}^{2})}{7 \cdot {(60.26)}^{2}})

Next Step Evaluate

∴

P loss = 0.0913010397329493W

LAST Step Rounding Answer

∴

P loss = 0.0913W

Line Losses using Constant(DC 3-Wire) Formula Elements

Variables

Line Losses

Line Losses is defined as the total losses occurring in an Overhead DC line when in use.

Symbol: P_loss

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Line Losses

Power Transmitted

Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power Transmitted

Resistivity

Resistivity is the measure of how strongly a material opposes the flow of current through them.

Symbol: ρ

Measurement: Electric ResistivityUnit: Ω*m

Note: Value can be positive or negative.

Formulas to find Resistivity

Length of Wire DC

Length of Wire DC is the total length of the wire from one end to other end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Wire DC

Constant Overhead DC

Constant Overhead DC is defined as the constant of line of a Overhead supply system.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant Overhead DC

Maximum Voltage Overhead DC

Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Maximum Voltage Overhead DC

Other Formulas to find Line Losses

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

P loss = (\frac{(P^{2}) \cdot ρ \cdot (L^{2})}{V \cdot {(V m)}^{2}})

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

P loss = ((P^{2}) \cdot ρ \cdot \frac{L}{A \cdot ({V m}^{2})})

Go Line Losses(DC 3-Wire)

P loss = 2 \cdot (I^{2}) \cdot R

Other formulas in Wire Parameters category

Go Length using Line Losses(DC 3-Wire)

L = P loss \cdot \frac{A}{2 \cdot (I^{2}) \cdot ρ}

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

A = ((I^{2}) \cdot ρ) \cdot \frac{L}{P loss}

Go Volume of Conductor Material (DC 3-Wire)

V = ((2.5) \cdot 2) \cdot (I^{2}) \cdot ρ \cdot \frac{L^{2}}{P loss}

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

A = \frac{V}{(2.5) \cdot L}

How to Evaluate Line Losses using Constant(DC 3-Wire)?

Line Losses using Constant(DC 3-Wire) evaluator uses Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*(Maximum Voltage Overhead DC)^2)) to evaluate 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 evaluate Line Losses using Constant(DC 3-Wire) using this online evaluator? To use this online evaluator 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.

FAQs on Line Losses using Constant(DC 3-Wire)

What is the formula to find Line Losses using Constant(DC 3-Wire)?

The formula of Line Losses using Constant(DC 3-Wire) is expressed as Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*(Maximum Voltage Overhead DC)^2)). Here is an example- 0.091301 = (((920^2)*1.7E-05*(12.7^2))/(7*(60.26)^2)).

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

With Power Transmitted (P), Resistivity (ρ), Length of Wire DC (L), Constant Overhead DC (K) & Maximum Voltage Overhead DC (V_m) we can find Line Losses using Constant(DC 3-Wire) using the formula - Line Losses = (((Power Transmitted^2)*Resistivity*(Length of Wire DC^2))/(Constant Overhead DC*(Maximum Voltage Overhead DC)^2)).

What are the other ways to Calculate Line Losses?

Here are the different ways to Calculate Line Losses-

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

Can the Line Losses using Constant(DC 3-Wire) be negative?

Yes, the Line Losses using Constant(DC 3-Wire), measured in Power can be negative.

Which unit is used to measure Line Losses using Constant(DC 3-Wire)?

Line Losses using Constant(DC 3-Wire) is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Line Losses using Constant(DC 3-Wire) can be measured.

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Line Losses using Constant(DC 3-Wire) Formula

​GoLine Losses using Volume of Conductor Material (DC 3-Wire) Formula

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

Line Losses using Constant(DC 3-Wire) Example

Line Losses using Constant(DC 3-Wire) Solution

Line Losses using Constant(DC 3-Wire) Formula Elements

Other Formulas to find Line Losses

Other formulas in Wire Parameters category

How to Evaluate Line Losses using Constant(DC 3-Wire)?

FAQs on Line Losses using Constant(DC 3-Wire)

Variable Name

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

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