Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Calculator

✖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%
✖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%

✖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 2-Wire Mid-Point Earthed) [P]

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Formula

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Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

Formula

`"P" = sqrt("P"_{"loss"}/(2*"R"))*("V"_{"m"}*cos("Φ")/sqrt(2))`

Example

`"72.77783W"=sqrt("2.67W"/(2*"5Ω"))*("230V"*cos("30°")/sqrt(2))`

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Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

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 00.020 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 6 Power & Power Factor Calculators

Power Transmitted using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

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

Power Factor using Area of X-Section (1-Phase 2-Wire Mid-Point Earthed)

Go Power Factor = sqrt(4*(Power Transmitted^2)*Resistivity*Length of Underground AC Wire/(Area of Underground AC Wire*Line Losses*(Maximum Voltage Underground AC^2)))

Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

Go Power Transmitted = sqrt(Line Losses/(2*Resistance Underground AC))*(Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2))

Power Factor using Line Losses (1-Phase 2-Wire Mid-Point Earthed)

Go Power Factor = sqrt(4*(Power Transmitted^2)*Resistance Underground AC/(Line Losses*(Maximum Voltage Underground AC^2)))

Power Transmitted using Load Current (1-Phase 2-Wire Mid-Point Earthed)

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

Power Factor using Load Current (1-Phase 2-Wire Mid-Point Earthed)

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

Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed) Formula

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

What is the value of volume of conductor material in this US?

The maximum voltage between conductors is v_m so that r.m.s. value of voltage between them is v_m/√2.

How to Calculate Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)?

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

FAQ

What is Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)?

The Power Transmitted using Line Losses (1-phase 2-wire Mid-point Earthed) 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/(2*R))*(V_m*cos(Φ)/sqrt(2)) or Power Transmitted = sqrt(Line Losses/(2*Resistance Underground AC))*(Maximum Voltage Underground AC*cos(Phase Difference)/sqrt(2)). 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, 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.

How to calculate Power Transmitted using Line Losses (1-Phase 2-Wire Mid-Point Earthed)?

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

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*cos(Phase Difference))^2/(4*Resistivity*Length of Underground AC Wire))

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