Power Transmitted using Line Losses (3 Phase 4 Wire US) Calculator

✖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%
✖Line Losses is defined as the total losses occurring in an Underground AC line when in use.ⓘ Line Losses [P_loss]			+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 (3 Phase 4 Wire US) [P]

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Power Transmitted using Line Losses (3 Phase 4 Wire US) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Transmitted = Maximum Voltage Underground AC*cos(Phase Difference)*sqrt(Line Losses/(2*Resistance Underground AC))
P = V_m*cos(Φ)*sqrt(P_loss/(2*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.
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.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Underground AC line when in use.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

P = 102.923393842216

STEP 3: Convert Result to Output's Unit

102.923393842216 Watt --> No Conversion Required

FINAL ANSWER

102.923393842216 ≈ 102.9234 Watt <-- Power Transmitted

(Calculation completed in 00.020 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Power and Power Factor Calculators

Power Transmitted using Volume of Conductor Material (3 Phase 4 Wire US)

LaTeX Go Power Transmitted = sqrt(Line Losses*Volume Of Conductor*(Maximum Voltage Underground AC*cos(Phase Difference))^2/(7*Resistivity*(Length of Underground AC Wire)^2))

Power Transmitted using Load Current (3 Phase 4 Wire US)

LaTeX Go Power Transmitted = (3*Maximum Voltage Underground AC*cos(Phase Difference)*Current Underground AC)/sqrt(6)

Angle of PF using Volume of Conductor Material (3 Phase 4 Wire US)

LaTeX Go Phase Difference = acos(sqrt((1.75)*Constant Underground AC/Volume Of Conductor))

Power Factor using Volume of Conductor Material (3 Phase 4 Wire US)

LaTeX Go Power Factor = sqrt((1.75)*Constant Underground AC/Volume Of Conductor)

Power Transmitted using Line Losses (3 Phase 4 Wire US) Formula

LaTeX Go

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

Why is power transmission needed?

Mechanical power transmission and its elements are used for the following reasons; Generated power or energy can be converted into a useful form. Physical constraints limit the power generation at the place where it's used hence it can be transferred from source to place where it is needed.

How to Calculate Power Transmitted using Line Losses (3 Phase 4 Wire US)?

Power Transmitted using Line Losses (3 Phase 4 Wire US) calculator uses Power Transmitted = Maximum Voltage Underground AC*cos(Phase Difference)*sqrt(Line Losses/(2*Resistance Underground AC)) to calculate the Power Transmitted, The Power Transmitted using Line Losses (3 phase 4 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 (3 Phase 4 Wire US) using this online calculator? To use this online calculator for Power Transmitted using Line Losses (3 Phase 4 Wire US), enter Maximum Voltage Underground AC (V_m), Phase Difference (Φ), Line Losses (P_loss) & Resistance Underground AC (R) and hit the calculate button. Here is how the Power Transmitted using Line Losses (3 Phase 4 Wire US) calculation can be explained with given input values -> 102.9234 = 230*cos(0.5235987755982)*sqrt(2.67/(2*5)).

FAQ

What is Power Transmitted using Line Losses (3 Phase 4 Wire US)?

The Power Transmitted using Line Losses (3 phase 4 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 = V_m*cos(Φ)*sqrt(P_loss/(2*R)) or Power Transmitted = Maximum Voltage Underground AC*cos(Phase Difference)*sqrt(Line Losses/(2*Resistance Underground AC)). 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, Line Losses is defined as the total losses occurring in an Underground AC line when in use & 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 (3 Phase 4 Wire US)?

The Power Transmitted using Line Losses (3 phase 4 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 = Maximum Voltage Underground AC*cos(Phase Difference)*sqrt(Line Losses/(2*Resistance Underground AC)). To calculate Power Transmitted using Line Losses (3 Phase 4 Wire US), you need Maximum Voltage Underground AC (V_m), Phase Difference (Φ), Line Losses (P_loss) & Resistance Underground AC (R). With our tool, you need to enter the respective value for Maximum Voltage Underground AC, Phase Difference, Line Losses & 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 Maximum Voltage Underground AC, Phase Difference, Line Losses & 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/(7*Resistivity*(Length of Underground AC Wire)^2))
Power Transmitted = (3*Maximum Voltage Underground AC*cos(Phase Difference)*Current Underground AC)/sqrt(6)
Power Transmitted = Maximum Voltage Underground AC*cos(Phase Difference)*sqrt(Area of Underground AC Wire*Line Losses/(2*Resistivity*Length of Underground AC Wire))

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