Power Transmitted using Line Losses (1 Phase 3 Wire US) Calculator

✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses [P_loss]			+10% -10%
✖Maximum Voltage Underground AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage Underground 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%
✖Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.ⓘ Resistance Underground AC [R]			+10% -10%

✖Power Transmitted is the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.ⓘ Power Transmitted using Line Losses (1 Phase 3 Wire US) [P]

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Power Transmitted using Line Losses (1 Phase 3 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Transmitted = sqrt(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistance Underground AC))
P = sqrt(P_loss*(V_m^2)*(cos(Φ)^2)/(4*R))
This formula uses 2 Functions, 5 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 the amount of power that is transferred from its place of generation to a location where it is applied to perform useful work.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
Maximum Voltage Underground AC - (Measured in Volt) - Maximum Voltage Underground 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.
Resistance Underground AC - (Measured in Ohm) - Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.

STEP 1: Convert Input(s) to Base Unit

Line Losses: 2.67 Watt --> 2.67 Watt No Conversion Required
Maximum Voltage Underground AC: 230 Volt --> 230 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Resistance Underground AC: 5 Ohm --> 5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = sqrt(P_loss*(V_m^2)*(cos(Φ)^2)/(4*R)) --> sqrt(2.67*(230^2)*(cos(0.5235987755982)^2)/(4*5))

Evaluating ... ...

P = 72.777829728565

STEP 3: Convert Result to Output's Unit

72.777829728565 Watt --> No Conversion Required

FINAL ANSWER

72.777829728565 ≈ 72.77783 Watt <-- Power Transmitted

(Calculation completed in 00.005 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Power and Power Factor Calculators

Transmitted Power using Volume of Conductor Material(1 Phase 3 Wire US)

LaTeX Go Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(10*Resistivity*(Length of Underground AC Wire)^2))

Power Factor using Volume of Conductor Material(1 Phase 3 Wire US)

LaTeX Go Power Factor = sqrt(10*Resistivity*((Power Transmitted*Length of Underground AC Wire)^2)/(Line Losses*Volume Of Conductor*((Maximum Voltage Underground AC)^2)))

Power Factor using Load Current (1 Phase 3 Wire US)

LaTeX Go Power Factor = sqrt(2)*Power Transmitted/(Maximum Voltage Underground AC*Current Underground AC)

Power Factor Angle for Single Phase 3 Wire System

LaTeX Go Phase Difference = acos(Power Transmitted/(2*Voltage Underground AC*Current Underground AC))

Power Transmitted using Line Losses (1 Phase 3 Wire US) Formula

LaTeX Go

Power Transmitted = sqrt(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistance Underground AC))
P = sqrt(P_loss*(V_m^2)*(cos(Φ)^2)/(4*R))

What are the different stages of power transmission?

There are three stages of electric power supply; generation, transmission, and distribution. Each of these stages involves distinct production processes, work activities, and hazards. Most electricity is generated at 13,200 to 24,000 volts.

How to Calculate Power Transmitted using Line Losses (1 Phase 3 Wire US)?

Power Transmitted using Line Losses (1 Phase 3 Wire US) calculator uses Power Transmitted = sqrt(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistance Underground AC)) to calculate the Power Transmitted, The Power Transmitted using Line Losses (1 phase 3 wire US) 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 (1 Phase 3 Wire US) using this online calculator? To use this online calculator for Power Transmitted using Line Losses (1 Phase 3 Wire US), enter Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Phase Difference (Φ) & Resistance Underground AC (R) and hit the calculate button. Here is how the Power Transmitted using Line Losses (1 Phase 3 Wire US) calculation can be explained with given input values -> 72.77783 = sqrt(2.67*(230^2)*(cos(0.5235987755982)^2)/(4*5)).

FAQ

What is Power Transmitted using Line Losses (1 Phase 3 Wire US)?

The Power Transmitted using Line Losses (1 phase 3 wire US) 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*(V_m^2)*(cos(Φ)^2)/(4*R)) or Power Transmitted = sqrt(Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistance Underground AC)). Line Losses is defined as the total losses occurring in an Underground AC line when in use, Maximum Voltage Underground 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 & Resistance Underground AC is defined as the property of the wire or line that opposes the flow of current through it.

How to calculate Power Transmitted using Line Losses (1 Phase 3 Wire US)?

The Power Transmitted using Line Losses (1 phase 3 wire US) 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*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistance Underground AC)). To calculate Power Transmitted using Line Losses (1 Phase 3 Wire US), you need Line Losses (P_loss), Maximum Voltage Underground AC (V_m), Phase Difference (Φ) & Resistance Underground AC (R). With our tool, you need to enter the respective value for Line Losses, Maximum Voltage Underground AC, Phase Difference & Resistance Underground AC 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, Maximum Voltage Underground AC, Phase Difference & Resistance Underground AC. We can use 3 other way(s) to calculate the same, which is/are as follows -

Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(10*Resistivity*(Length of Underground AC Wire)^2))
Power Transmitted = Current Underground AC*Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2)
Power Transmitted = sqrt(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)*(cos(Phase Difference)^2)/(4*Resistivity*Length of Underground AC Wire))

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