Maximum Voltage using Load Current (3-Phase 4-Wire OS) Calculator

✖Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end.ⓘ Power Transmitted [P]			+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%

✖Maximum Voltage Overhead AC is defined as the peak amplitude of the AC voltage supplied to the line or wire.ⓘ Maximum Voltage using Load Current (3-Phase 4-Wire OS) [V_m]

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Formula

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Maximum Voltage using Load Current (3-Phase 4-Wire OS)

Formula

`"V"_{"m"} = (sqrt(2)*"P")/(3*cos("Φ"))`

Example

`"484.4546V"=(sqrt(2)*"890W")/(3*cos("30°"))`

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Maximum Voltage using Load Current (3-Phase 4-Wire OS) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*cos(Phase Difference))
V_m = (sqrt(2)*P)/(3*cos(Φ))
This formula uses 2 Functions, 3 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

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.
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.
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

Power Transmitted: 890 Watt --> 890 Watt No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = (sqrt(2)*P)/(3*cos(Φ)) --> (sqrt(2)*890)/(3*cos(0.5235987755982))

Evaluating ... ...

V_m = 484.454638017117

STEP 3: Convert Result to Output's Unit

484.454638017117 Volt --> No Conversion Required

FINAL ANSWER

484.454638017117 ≈ 484.4546 Volt <-- Maximum Voltage Overhead AC

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power System » Overhead AC Supply » 3-Φ 4-Wire System » Current & Voltage » Maximum Voltage using Load Current (3-Phase 4-Wire OS)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Current & Voltage Calculators

Maximum Voltage using Area of X-Section(3-Phase 4-Wire OS)

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

Maximum Voltage using Volume of Conductor Material (3-Phase 4-Wire OS)

Go Maximum Voltage Overhead AC = sqrt(7*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2/(3*Line Losses*Volume of Conductor*(cos(Phase Difference))^2))

RMS Voltage using Area of X-Section(3-Phase 4-Wire OS)

Go Root Mean Square Voltage = (Power Transmitted/cos(Phase Difference))*sqrt(Resistivity*Length of Overhead AC Wire/(3*Area of Overhead AC Wire))

Load Current(3-Phase 4-Wire OS)

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

Maximum Voltage using Load Current (3-Phase 4-Wire OS)

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

RMS Voltage using Load Current (3-Phase 4-Wire OS)

Go Root Mean Square Voltage = Power Transmitted/(3*cos(Phase Difference))

Maximum Voltage(3-Phase 4-Wire OS)

Go Voltage Overhead AC = (1)*Maximum Voltage Overhead AC

Maximum Voltage using Load Current (3-Phase 4-Wire OS) Formula

Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*cos(Phase Difference))
V_m = (sqrt(2)*P)/(3*cos(Φ))

Why do we use 3 phase 4 wire?

The function of neutral wire in the 3 phase 4 wire system is to serve as a return wire for the general domestic supply system. The neutral is paired to each of the single-phase loads.

How to Calculate Maximum Voltage using Load Current (3-Phase 4-Wire OS)?

Maximum Voltage using Load Current (3-Phase 4-Wire OS) calculator uses Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*cos(Phase Difference)) to calculate the Maximum Voltage Overhead AC, The Maximum Voltage using Load Current (3-phase 4-wire OS) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage Overhead AC is denoted by V_m symbol.

How to calculate Maximum Voltage using Load Current (3-Phase 4-Wire OS) using this online calculator? To use this online calculator for Maximum Voltage using Load Current (3-Phase 4-Wire OS), enter Power Transmitted (P) & Phase Difference (Φ) and hit the calculate button. Here is how the Maximum Voltage using Load Current (3-Phase 4-Wire OS) calculation can be explained with given input values -> 484.4546 = (sqrt(2)*890)/(3*cos(0.5235987755982)).

FAQ

What is Maximum Voltage using Load Current (3-Phase 4-Wire OS)?

The Maximum Voltage using Load Current (3-phase 4-wire OS) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition and is represented as V_m = (sqrt(2)*P)/(3*cos(Φ)) or Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*cos(Phase Difference)). Power Transmitted is defined as the product of current and voltage phasor in a overhead ac line at the receiving end & 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 Maximum Voltage using Load Current (3-Phase 4-Wire OS)?

The Maximum Voltage using Load Current (3-phase 4-wire OS) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition is calculated using Maximum Voltage Overhead AC = (sqrt(2)*Power Transmitted)/(3*cos(Phase Difference)). To calculate Maximum Voltage using Load Current (3-Phase 4-Wire OS), you need Power Transmitted (P) & Phase Difference (Φ). With our tool, you need to enter the respective value for Power Transmitted & 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 Maximum Voltage Overhead AC?

In this formula, Maximum Voltage Overhead AC uses Power Transmitted & Phase Difference. We can use 2 other way(s) to calculate the same, which is/are as follows -

Maximum Voltage Overhead AC = sqrt((2*Length of Overhead AC Wire*Resistivity*(Power Transmitted^2))/(3*Area of Overhead AC Wire*Line Losses*((cos(Phase Difference))^2)))
Maximum Voltage Overhead AC = sqrt(7*Resistivity*(Power Transmitted*Length of Overhead AC Wire)^2/(3*Line Losses*Volume of Conductor*(cos(Phase Difference))^2))

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