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

✖Line Losses is defined as the total losses occurring in an Overhead AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.ⓘ Area of Overhead AC Wire [A]			+10% -10%
✖Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Overhead AC [V_m]			+10% -10%
✖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.ⓘ Phase Difference [Φ]			+10% -10%
✖Resistivity is the measure of how strongly a material opposes the flow of current through them.ⓘ Resistivity [ρ]			+10% -10%
✖Length of Overhead AC Wire is the total length of the wire from one end to other end.ⓘ Length of Overhead AC Wire [L]			+10% -10%

✖Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.ⓘ Power Transmitted using Line Losses (Single-Phase Three-Wire OS) [P]

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

STEP 0: Pre-Calculation Summary

Formula Used

Power Transmitted = sqrt(Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(Resistivity*Length of Overhead AC Wire))
P = sqrt(P_loss*A*(V_m*cos(Φ))^2/(ρ*L))
This formula uses 2 Functions, 7 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., sqrt(Number)

Variables Used

Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead AC line when in use.
Area of Overhead AC Wire - (Measured in Square Meter) - Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system.
Maximum Voltage Overhead AC - (Measured in Volt) - Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Phase Difference - (Measured in Radian) - 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.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Length of Overhead AC Wire - (Measured in Meter) - Length of Overhead AC Wire is the total length of the wire from one end to other end.

STEP 1: Convert Input(s) to Base Unit

Line Losses: 8.23 Watt --> 8.23 Watt No Conversion Required
Area of Overhead AC Wire: 0.79 Square Meter --> 0.79 Square Meter No Conversion Required
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Length of Overhead AC Wire: 10.63 Meter --> 10.63 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = sqrt(P_loss*A*(V_m*cos(Φ))^2/(ρ*L)) --> sqrt(8.23*0.79*(62*cos(0.5235987755982))^2/(1.7E-05*10.63))

Evaluating ... ...

P = 10184.616761135

STEP 3: Convert Result to Output's Unit

10184.616761135 Watt --> No Conversion Required

FINAL ANSWER

10184.616761135 ≈ 10184.62 Watt <-- Power Transmitted

(Calculation completed in 00.009 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Power and Power Factor Calculators

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

LaTeX Go 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 using Line Losses (Single-Phase Three-Wire OS)

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

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

LaTeX Go Power Factor = sqrt((Power Transmitted^2)*Resistivity*Length of Overhead AC Wire/(Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2)))

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

LaTeX Go Power Transmitted = Current Overhead AC*Maximum Voltage Overhead AC*cos(Phase Difference)*sqrt(2)

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

LaTeX Go

Power Transmitted = sqrt(Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(Resistivity*Length of Overhead AC Wire))
P = sqrt(P_loss*A*(V_m*cos(Φ))^2/(ρ*L))

What is the value of maximum voltage and volume of conductor material in 1-phase 3-wire system?

The volume of conductor material required in this system is 5/8cos²θ times that of 2-wire d.c.system with the one conductor earthed. The maximum voltage between conductors is 2v_m so that r.m.s. value of voltage between them is √2/v_m.

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

Power Transmitted using Line Losses (Single-Phase Three-Wire OS) calculator 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 calculate 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 calculate Power Transmitted using Line Losses (Single-Phase Three-Wire OS) using this online calculator? To use this online calculator 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. Here is how the Power Transmitted using Line Losses (Single-Phase Three-Wire OS) calculation can be explained with given input values -> 10184.62 = sqrt(8.23*0.79*(62*cos(0.5235987755982))^2/(1.7E-05*10.63)).

FAQ

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

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 and is represented as P = sqrt(P_loss*A*(V_m*cos(Φ))^2/(ρ*L)) or Power Transmitted = sqrt(Line Losses*Area of Overhead AC Wire*(Maximum Voltage Overhead AC*cos(Phase Difference))^2/(Resistivity*Length of Overhead AC Wire)). Line Losses is defined as the total losses occurring in an Overhead AC line when in use, Area of Overhead AC Wire is defined as the cross-sectional area of the wire of an AC supply system, Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire, 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, Resistivity is the measure of how strongly a material opposes the flow of current through them & Length of Overhead AC Wire is the total length of the wire from one end to other end.

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

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 is calculated using 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 calculate Power Transmitted using Line Losses (Single-Phase Three-Wire OS), you need 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). With our tool, you need to enter the respective value for Line Losses, Area of Overhead AC Wire, Maximum Voltage Overhead AC, Phase Difference, Resistivity & Length of Overhead AC Wire and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Power Transmitted?

In this formula, Power Transmitted uses Line Losses, Area of Overhead AC Wire, Maximum Voltage Overhead AC, Phase Difference, Resistivity & Length of Overhead AC Wire. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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