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Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) Formula

GoLine Losses(3-Phase 4-Wire OS) Formula

GoLine Losses using Area of X-Section(3-Phase 4-Wire OS) Formula

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

P loss = 7 \cdot {(P)}^{2} \cdot ρ \cdot \frac{{(L)}^{2}}{3 \cdot {(V m \cdot \cos (Φ))}^{2} \cdot V}

P_loss - Line Losses?P - Power Transmitted?ρ - Resistivity?L - Length of Overhead AC Wire?V_m - Maximum Voltage Overhead AC?Φ - Phase Difference?V - Volume of Conductor?

Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) Example

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Here is how the Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) equation looks like with Values.

Here is how the Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) equation looks like with Units.

Here is how the Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) equation looks like.

0.0474 = 7 \cdot {(890)}^{2} \cdot 1.7E-5 \cdot \frac{{(10.63)}^{2}}{3 \cdot {(62 \cdot \cos (30))}^{2} \cdot 26}

0.0474W = 7 \cdot {(890W)}^{2} \cdot 1.7E-5Ω*m \cdot \frac{{(10.63m)}^{2}}{3 \cdot {(62V \cdot \cos (30°))}^{2} \cdot 26m³}

0.0474 = 7 \cdot {(890)}^{2} \cdot 1.7E-5 \cdot \frac{{(10.63)}^{2}}{3 \cdot {(62 \cdot \cos (30))}^{2} \cdot 26}

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Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) Solution

Follow our step by step solution on how to calculate Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)?

FIRST Step Consider the formula

P loss = 7 \cdot {(P)}^{2} \cdot ρ \cdot \frac{{(L)}^{2}}{3 \cdot {(V m \cdot \cos (Φ))}^{2} \cdot V}

Next Step Substitute values of Variables

∴

P loss = 7 \cdot {(890W)}^{2} \cdot 1.7E-5Ω*m \cdot \frac{{(10.63m)}^{2}}{3 \cdot {(62V \cdot \cos (30°))}^{2} \cdot 26m³}

Next Step Convert Units

∴

P loss = 7 \cdot {(890W)}^{2} \cdot 1.7E-5Ω*m \cdot \frac{{(10.63m)}^{2}}{3 \cdot {(62V \cdot \cos (0.5236rad))}^{2} \cdot 26m³}

Next Step Prepare to Evaluate

∴

P loss = 7 \cdot {(890)}^{2} \cdot 1.7E-5 \cdot \frac{{(10.63)}^{2}}{3 \cdot {(62 \cdot \cos (0.5236))}^{2} \cdot 26}

Next Step Evaluate

∴

P loss = 0.047364641951982W

LAST Step Rounding Answer

∴

P loss = 0.0474W

Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) Formula Elements

Variables

Functions

Line Losses

Line Losses is defined as the total losses occurring in an Overhead AC 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 ac 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 Overhead AC Wire

Length of Overhead AC Wire 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 Overhead AC Wire

Maximum Voltage Overhead AC

Maximum Voltage Overhead AC 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 AC

Phase Difference

Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Phase Difference

Volume of Conductor

Volume of Conductor is the total volume of the material used to make the conductor of an overhead ac line.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Volume of Conductor

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Line Losses

Go Line Losses(3-Phase 4-Wire OS)

P loss = (3) \cdot ({(I)}^{2}) \cdot R

Go Line Losses using Area of X-Section(3-Phase 4-Wire OS)

P loss = \frac{2 \cdot L \cdot ρ \cdot (P^{2})}{3 \cdot A \cdot ({V m}^{2}) \cdot ({(\cos (Φ))}^{2})}

Other formulas in Wire Parameters category

Go Area of X-Section(3-Phase 4-Wire OS)

A = 2 \cdot (P^{2}) \cdot ρ \cdot \frac{L}{({(\cos (Φ))}^{2}) \cdot P loss \cdot 3 \cdot ({V m}^{2})}

Go Constant(3-Phase 4-Wire OS)

K = \frac{4 \cdot (P^{2}) \cdot ρ \cdot (L^{2})}{P loss \cdot ({V m}^{2})}

How to Evaluate Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)?

Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) evaluator uses Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor) to evaluate the Line Losses, The Line Losses using Volume of Conductor Material (3-phase 4-wire OS) 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_loss symbol.

How to evaluate Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) using this online evaluator? To use this online evaluator for Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS), enter Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ) & Volume of Conductor (V) and hit the calculate button.

FAQs on Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)

What is the formula to find Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)?

The formula of Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) is expressed as Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor). Here is an example- 0.047365 = 7*(890)^2*1.7E-05*(10.63)^2/(3*(62*cos(0.5235987755982))^2*26).

How to calculate Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)?

With Power Transmitted (P), Resistivity (ρ), Length of Overhead AC Wire (L), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ) & Volume of Conductor (V) we can find Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) using the formula - Line Losses = 7*(Power Transmitted)^2*Resistivity*(Length of Overhead AC Wire)^2/(3*(Maximum Voltage Overhead AC*cos(Phase Difference))^2*Volume of Conductor). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Line Losses?

Here are the different ways to Calculate Line Losses-

Line Losses=(3)*((Current Overhead AC)^2)*Resistance Overhead AC
Line Losses=(2*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*((cos(Phase Difference))^2))

Can the Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) be negative?

Yes, the Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS), measured in Power can be negative.

Which unit is used to measure Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)?

Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) 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 Volume of Conductor Material (3-Phase 4-Wire OS) can be measured.

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Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) Formula

​GoLine Losses(3-Phase 4-Wire OS) Formula

​GoLine Losses using Area of X-Section(3-Phase 4-Wire OS) Formula

Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) Example

Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) Solution

Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS) Formula Elements

Other Formulas to find Line Losses

Other formulas in Wire Parameters category

How to Evaluate Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)?

FAQs on Line Losses using Volume of Conductor Material (3-Phase 4-Wire OS)

Variable Name

GoLine Losses(3-Phase 4-Wire OS) Formula

GoLine Losses using Area of X-Section(3-Phase 4-Wire OS) Formula