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Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) Formula

GoLine Losses using Load Current (Single Phase Two Wire Mid-Point 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 = \frac{L \cdot ρ \cdot P^{2}}{A \cdot {V m}^{2} \cdot {\cos (Φ)}^{2}}

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

Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) Example

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Here is how the Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) equation looks like with Values.

Here is how the Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) equation looks like with Units.

Here is how the Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) equation looks like.

0.0628 = \frac{10.63 \cdot 1.7E-5 \cdot 890^{2}}{0.79 \cdot 62^{2} \cdot {\cos (30)}^{2}}

0.0628W = \frac{10.63m \cdot 1.7E-5Ω*m \cdot {890W}^{2}}{0.79m² \cdot {62V}^{2} \cdot {\cos (30°)}^{2}}

0.0628 = \frac{10.63 \cdot 1.7E-5 \cdot 890^{2}}{0.79 \cdot 62^{2} \cdot {\cos (30)}^{2}}

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Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) Solution

Follow our step by step solution on how to calculate Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P loss = \frac{10.63m \cdot 1.7E-5Ω*m \cdot {890W}^{2}}{0.79m² \cdot {62V}^{2} \cdot {\cos (30°)}^{2}}

Next Step Convert Units

∴

P loss = \frac{10.63m \cdot 1.7E-5Ω*m \cdot {890W}^{2}}{0.79m² \cdot {62V}^{2} \cdot {\cos (0.5236rad)}^{2}}

Next Step Prepare to Evaluate

∴

P loss = \frac{10.63 \cdot 1.7E-5 \cdot 890^{2}}{0.79 \cdot 62^{2} \cdot {\cos (0.5236)}^{2}}

Next Step Evaluate

∴

P loss = 0.0628478558288W

LAST Step Rounding Answer

∴

P loss = 0.0628W

Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed 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

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

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

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

Area of Overhead AC Wire

Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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 using Load Current (Single Phase Two Wire Mid-Point OS)

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

Other formulas in Wire Parameters category

Go Constant (Single Phase Two Wire Mid-Point Earthed)

K = \frac{4 \cdot P^{2} \cdot ρ \cdot L}{P loss \cdot {V ac}^{2}}

Go Area of X-Section(Single Phase Two Wire Mid-Point Earthed)

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

How to Evaluate Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)?

Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) evaluator uses Line Losses = (Length of Overhead AC Wire*Resistivity*Power Transmitted^2)/(Area of Overhead AC Wire*Maximum Voltage Overhead AC^2*cos(Phase Difference)^2) to evaluate the Line Losses, The Line Losses using Area of X-section(single Phase two Wire Mid-point Earthed 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 Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) using this online evaluator? To use this online evaluator for Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS), enter Length of Overhead AC Wire (L), Resistivity (ρ), Power Transmitted (P), Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ) and hit the calculate button.

FAQs on Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)

What is the formula to find Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)?

The formula of Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) is expressed as Line Losses = (Length of Overhead AC Wire*Resistivity*Power Transmitted^2)/(Area of Overhead AC Wire*Maximum Voltage Overhead AC^2*cos(Phase Difference)^2). Here is an example- 0.062848 = (10.63*1.7E-05*890^2)/(0.79*62^2*cos(0.5235987755982)^2).

How to calculate Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)?

With Length of Overhead AC Wire (L), Resistivity (ρ), Power Transmitted (P), Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ) we can find Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) using the formula - Line Losses = (Length of Overhead AC Wire*Resistivity*Power Transmitted^2)/(Area of Overhead AC Wire*Maximum Voltage Overhead AC^2*cos(Phase Difference)^2). 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=2*Current Overhead AC^2*Resistance Overhead AC

Can the Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) be negative?

Yes, the Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS), measured in Power can be negative.

Which unit is used to measure Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)?

Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed 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 Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) can be measured.

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Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) Formula

​GoLine Losses using Load Current (Single Phase Two Wire Mid-Point OS) Formula

Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) Example

Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) Solution

Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS) Formula Elements

Other Formulas to find Line Losses

Other formulas in Wire Parameters category

How to Evaluate Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)?

FAQs on Line Losses using Area of X-Section(Single Phase Two Wire Mid-Point Earthed OS)

Variable Name

GoLine Losses using Load Current (Single Phase Two Wire Mid-Point OS) Formula