FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Power Transmitted using Line Losses (Single-Phase Three-Wire OS) Formula

GoPower Transmitted using Area of X-Section(Single-Phase Three-Wire OS) Formula

GoPower Transmitted using Load Current (Single-Phase Three-Wire OS) Formula

Fx Copy

LaTeX Copy

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

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

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

Power Transmitted using Line Losses (Single-Phase Three-Wire OS) Example

With values

With units

Only example

Here is how the Power Transmitted using Line Losses (Single-Phase Three-Wire OS) equation looks like with Values.

Here is how the Power Transmitted using Line Losses (Single-Phase Three-Wire OS) equation looks like with Units.

Here is how the Power Transmitted using Line Losses (Single-Phase Three-Wire OS) equation looks like.

10184.6168 = \sqrt{8.23 \cdot 0.79 \cdot \frac{{(62 \cdot \cos (30))}^{2}}{1.7E-5 \cdot 10.63}}

10184.6168W = \sqrt{8.23W \cdot 0.79m² \cdot \frac{{(62V \cdot \cos (30°))}^{2}}{1.7E-5Ω*m \cdot 10.63m}}

10184.6168 = \sqrt{8.23 \cdot 0.79 \cdot \frac{{(62 \cdot \cos (30))}^{2}}{1.7E-5 \cdot 10.63}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Power System » fx Power Transmitted using Line Losses (Single-Phase Three-Wire OS)

Power Transmitted using Line Losses (Single-Phase Three-Wire OS) Solution

Follow our step by step solution on how to calculate Power Transmitted using Line Losses (Single-Phase Three-Wire OS)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \sqrt{8.23W \cdot 0.79m² \cdot \frac{{(62V \cdot \cos (30°))}^{2}}{1.7E-5Ω*m \cdot 10.63m}}

Next Step Convert Units

∴

P = \sqrt{8.23W \cdot 0.79m² \cdot \frac{{(62V \cdot \cos (0.5236rad))}^{2}}{1.7E-5Ω*m \cdot 10.63m}}

Next Step Prepare to Evaluate

∴

P = \sqrt{8.23 \cdot 0.79 \cdot \frac{{(62 \cdot \cos (0.5236))}^{2}}{1.7E-5 \cdot 10.63}}

Next Step Evaluate

∴

P = 10184.616761135W

LAST Step Rounding Answer

∴

P = 10184.6168W

Power Transmitted using Line Losses (Single-Phase Three-Wire OS) Formula Elements

Variables

Functions

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

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

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

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

cos

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

Syntax: cos(Angle)

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.

Syntax: sqrt(Number)

Other Formulas to find Power Transmitted

Go Power Transmitted using Area of X-Section(Single-Phase Three-Wire OS)

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

Go Power Transmitted using Load Current (Single-Phase Three-Wire OS)

P = I \cdot V m \cdot \cos (Φ) \cdot \sqrt{2}

Other formulas in Power and Power Factor category

Go Power Factor using Area of X-Section(Single-Phase Three-Wire OS)

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

Go Power Factor using Load Current (Single-Phase Three-Wire OS)

PF = \frac{P}{\sqrt{Φ} \cdot V m \cdot I}

How to Evaluate Power Transmitted using Line Losses (Single-Phase Three-Wire OS)?

Power Transmitted using Line Losses (Single-Phase Three-Wire OS) evaluator uses Power Transmitted = sqrt(Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(Resistivity*Length of Overhead AC Wire)) to evaluate the Power Transmitted, The Power Transmitted using Line Losses (single-Phase three-Wire OS) formula is defined as the bulk movement of electrical energy from a generating site, such as a power station or power plant, to an electrical substation where voltage is transformed and distributed to consumers or other substations. Power Transmitted is denoted by P symbol.

How to evaluate Power Transmitted using Line Losses (Single-Phase Three-Wire OS) using this online evaluator? To use this online evaluator for Power Transmitted using Line Losses (Single-Phase Three-Wire OS), enter Line Losses (P_loss), Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ), Resistivity (ρ) & Length of Overhead AC Wire (L) and hit the calculate button.

FAQs on Power Transmitted using Line Losses (Single-Phase Three-Wire OS)

What is the formula to find Power Transmitted using Line Losses (Single-Phase Three-Wire OS)?

The formula of Power Transmitted using Line Losses (Single-Phase Three-Wire OS) is expressed as Power Transmitted = sqrt(Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(Resistivity*Length of Overhead AC Wire)). Here is an example- 10184.62 = sqrt(8.23*0.79*(62*cos(0.5235987755982))^2/(1.7E-05*10.63)).

How to calculate Power Transmitted using Line Losses (Single-Phase Three-Wire OS)?

With Line Losses (P_loss), Area of Overhead AC Wire (A), Maximum Voltage Overhead AC (V_m), Phase Difference (Φ), Resistivity (ρ) & Length of Overhead AC Wire (L) we can find Power Transmitted using Line Losses (Single-Phase Three-Wire OS) using the formula - Power Transmitted = sqrt(Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(Resistivity*Length of Overhead AC Wire)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Power Transmitted?

Here are the different ways to Calculate Power Transmitted-

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

Can the Power Transmitted using Line Losses (Single-Phase Three-Wire OS) be negative?

No, the Power Transmitted using Line Losses (Single-Phase Three-Wire OS), measured in Power cannot be negative.

Which unit is used to measure Power Transmitted using Line Losses (Single-Phase Three-Wire OS)?

Power Transmitted using Line Losses (Single-Phase Three-Wire OS) is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Power Transmitted using Line Losses (Single-Phase Three-Wire OS) can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Power Transmitted using Line Losses (Single-Phase Three-Wire OS) Formula

​GoPower Transmitted using Area of X-Section(Single-Phase Three-Wire OS) Formula

​GoPower Transmitted using Load Current (Single-Phase Three-Wire OS) Formula

Power Transmitted using Line Losses (Single-Phase Three-Wire OS) Example

Power Transmitted using Line Losses (Single-Phase Three-Wire OS) Solution

Power Transmitted using Line Losses (Single-Phase Three-Wire OS) Formula Elements

Other Formulas to find Power Transmitted

Other formulas in Power and Power Factor category

How to Evaluate Power Transmitted using Line Losses (Single-Phase Three-Wire OS)?

FAQs on Power Transmitted using Line Losses (Single-Phase Three-Wire OS)

Variable Name

GoPower Transmitted using Area of X-Section(Single-Phase Three-Wire OS) Formula

GoPower Transmitted using Load Current (Single-Phase Three-Wire OS) Formula