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Line Losses(3-Phase 3-Wire OS) Formula

GoLine Losses using Area of X-Section(3-Phase 3-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 = (3) \cdot ({(I)}^{2}) \cdot R

P_loss - Line Losses?I - Current Overhead AC?R - Resistance Overhead AC?

Line Losses(3-Phase 3-Wire OS) Example

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Here is how the Line Losses(3-Phase 3-Wire OS) equation looks like with Values.

Here is how the Line Losses(3-Phase 3-Wire OS) equation looks like with Units.

Here is how the Line Losses(3-Phase 3-Wire OS) equation looks like.

0.3999 = (3) \cdot ({(6.9)}^{2}) \cdot 0.0028

0.3999W = (3) \cdot ({(6.9A)}^{2}) \cdot 0.0028Ω

0.3999 = (3) \cdot ({(6.9)}^{2}) \cdot 0.0028

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Line Losses(3-Phase 3-Wire OS) Solution

Follow our step by step solution on how to calculate Line Losses(3-Phase 3-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P loss = (3) \cdot ({(6.9A)}^{2}) \cdot 0.0028Ω

Next Step Prepare to Evaluate

∴

P loss = (3) \cdot ({(6.9)}^{2}) \cdot 0.0028

Next Step Evaluate

∴

P loss = 0.399924W

LAST Step Rounding Answer

∴

P loss = 0.3999W

Line Losses(3-Phase 3-Wire OS) Formula Elements

Variables

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

Current Overhead AC

Current Overhead AC is defined as the current flowing through the overhead ac supply wire.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Current Overhead AC

Resistance Overhead AC

Resistance Overhead AC is defined as the property of the wire or line that opposes the flow of current through it.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance Overhead AC

Other Formulas to find Line Losses

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

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

Go Volume of Conductor Material(3-Phase 3-Wire OS)

V = (3) \cdot A \cdot L

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

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

How to Evaluate Line Losses(3-Phase 3-Wire OS)?

Line Losses(3-Phase 3-Wire OS) evaluator uses Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC to evaluate the Line Losses, The Line Losses(3-Phase 3-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(3-Phase 3-Wire OS) using this online evaluator? To use this online evaluator for Line Losses(3-Phase 3-Wire OS), enter Current Overhead AC (I) & Resistance Overhead AC (R) and hit the calculate button.

FAQs on Line Losses(3-Phase 3-Wire OS)

What is the formula to find Line Losses(3-Phase 3-Wire OS)?

The formula of Line Losses(3-Phase 3-Wire OS) is expressed as Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC. Here is an example- 0.399924 = (3)*((6.9)^2)*0.0028.

How to calculate Line Losses(3-Phase 3-Wire OS)?

With Current Overhead AC (I) & Resistance Overhead AC (R) we can find Line Losses(3-Phase 3-Wire OS) using the formula - Line Losses = (3)*((Current Overhead AC)^2)*Resistance Overhead AC.

What are the other ways to Calculate Line Losses?

Here are the different ways to Calculate Line Losses-

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(3-Phase 3-Wire OS) be negative?

Yes, the Line Losses(3-Phase 3-Wire OS), measured in Power can be negative.

Which unit is used to measure Line Losses(3-Phase 3-Wire OS)?

Line Losses(3-Phase 3-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(3-Phase 3-Wire OS) can be measured.

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Line Losses(3-Phase 3-Wire OS) Formula

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

Line Losses(3-Phase 3-Wire OS) Example

Line Losses(3-Phase 3-Wire OS) Solution

Line Losses(3-Phase 3-Wire OS) Formula Elements

Other Formulas to find Line Losses

Other formulas in Wire Parameters category

How to Evaluate Line Losses(3-Phase 3-Wire OS)?

FAQs on Line Losses(3-Phase 3-Wire OS)

Variable Name

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