Transmitted Power using Load Current(3-Phase 3-Wire OS) Calculator

✖Current Overhead AC is defined as the current flowing through the overhead ac supply wire.ⓘ Current Overhead AC [I]			+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%

✖Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.ⓘ Transmitted Power using Load Current(3-Phase 3-Wire OS) [P]

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Formula

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Transmitted Power using Load Current(3-Phase 3-Wire OS)

Formula

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

Example

`"261.9729W"="6.9A"*"62V"*(cos("30°"))/(sqrt(2))`

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Transmitted Power using Load Current(3-Phase 3-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Transmitted = Current Overhead AC*Maximum Voltage Overhead AC*(cos(Phase Difference))/(sqrt(2))
P = I*V_m*(cos(Φ))/(sqrt(2))
This formula uses 2 Functions, 4 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.
Current Overhead AC - (Measured in Ampere) - Current Overhead AC is defined as the current flowing through the overhead ac supply wire.
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.

STEP 1: Convert Input(s) to Base Unit

Current Overhead AC: 6.9 Ampere --> 6.9 Ampere No Conversion Required
Maximum Voltage Overhead AC: 62 Volt --> 62 Volt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = I*V_m*(cos(Φ))/(sqrt(2)) --> 6.9*62*(cos(0.5235987755982))/(sqrt(2))

Evaluating ... ...

P = 261.972927990661

STEP 3: Convert Result to Output's Unit

261.972927990661 Watt --> No Conversion Required

FINAL ANSWER

261.972927990661 ≈ 261.9729 Watt <-- Power Transmitted

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Power & Power Factor Calculators

Power Transmitted using Area of X-Section(3-Phase 3-Wire OS)

Go Power Transmitted = sqrt((3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2))/(Resistivity*2*Length of Overhead AC Wire))

Angle of PF using Area of X-Section(3-Phase 3-Wire OS)

Go Phase Difference = acos(sqrt(2*Resistivity*(Power Transmitted^2*Length of Overhead AC Wire^2)/(3*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2))))

Power Factor using Area of X-Section(3-Phase 3-Wire OS)

Go Power Factor = sqrt(2*Resistivity*(Power Transmitted^2*Length of Overhead AC Wire^2)/(3*Area of Overhead AC Wire*Line Losses*(Maximum Voltage Overhead AC^2)))

Angle of PF using Load Current(3-Phase 3-Wire OS)

Go Phase Difference = acos(sqrt(2)*Power Transmitted/(3*Maximum Voltage Overhead AC*Current Overhead AC))

Transmitted Power using Load Current(3-Phase 3-Wire OS)

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

Power Factor using Load Current(3-Phase 3-Wire OS)

Go Power Factor = sqrt(2)*Power Transmitted/(3*Current Overhead AC*Maximum Voltage Overhead AC)

Power Transmitted(3-Phase 3-Wire OS)

Go Power Transmitted = (1/3)*Power Transmitted per Phase

Transmitted Power using Load Current(3-Phase 3-Wire OS) Formula

Power Transmitted = Current Overhead AC*Maximum Voltage Overhead AC*(cos(Phase Difference))/(sqrt(2))
P = I*V_m*(cos(Φ))/(sqrt(2))

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

The volume of conductor material required in this system is 0.5/cos²θ times that of 2-wire d.c.system with the one conductor earthed. 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 Transmitted Power using Load Current(3-Phase 3-Wire OS)?

Transmitted Power using Load Current(3-Phase 3-Wire OS) calculator uses Power Transmitted = Current Overhead AC*Maximum Voltage Overhead AC*(cos(Phase Difference))/(sqrt(2)) to calculate the Power Transmitted, The Transmitted Power using Load Current(3-phase 3-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 Transmitted Power using Load Current(3-Phase 3-Wire OS) using this online calculator? To use this online calculator for Transmitted Power using Load Current(3-Phase 3-Wire OS), enter Current Overhead AC (I), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ) and hit the calculate button. Here is how the Transmitted Power using Load Current(3-Phase 3-Wire OS) calculation can be explained with given input values -> 261.9729 = 6.9*62*(cos(0.5235987755982))/(sqrt(2)).

FAQ

What is Transmitted Power using Load Current(3-Phase 3-Wire OS)?

The Transmitted Power using Load Current(3-phase 3-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 = I*V_m*(cos(Φ))/(sqrt(2)) or Power Transmitted = Current Overhead AC*Maximum Voltage Overhead AC*(cos(Phase Difference))/(sqrt(2)). Current Overhead AC is defined as the current flowing through the overhead ac supply wire, 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.

How to calculate Transmitted Power using Load Current(3-Phase 3-Wire OS)?

The Transmitted Power using Load Current(3-phase 3-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 = Current Overhead AC*Maximum Voltage Overhead AC*(cos(Phase Difference))/(sqrt(2)). To calculate Transmitted Power using Load Current(3-Phase 3-Wire OS), you need Current Overhead AC (I), Maximum Voltage Overhead AC (V_m) & Phase Difference (Φ). With our tool, you need to enter the respective value for Current Overhead AC, Maximum Voltage Overhead 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 Current Overhead AC, Maximum Voltage Overhead AC & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -

Power Transmitted = (1/3)*Power Transmitted per Phase
Power Transmitted = sqrt((3*Area of Overhead AC Wire*(Maximum Voltage Overhead AC^2)*Line Losses*((cos(Phase Difference))^2))/(Resistivity*2*Length of Overhead AC Wire))

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